From fa331ea32ab86ad572a02f6cde664ac92fe3332b Mon Sep 17 00:00:00 2001 From: Dengda98 Date: Thu, 24 Apr 2025 16:14:41 +0800 Subject: [PATCH 1/4] FEAT: add `filonLength` and `filonCut` in Filon's Integration --- pygrt/C_extension/include/common/fim.h | 6 +- pygrt/C_extension/include/common/integral.h | 5 +- pygrt/C_extension/include/dynamic/grt.h | 12 +- pygrt/C_extension/include/static/stgrt.h | 5 +- pygrt/C_extension/src/common/dwm.c | 2 +- pygrt/C_extension/src/common/fim.c | 350 ++++++++++++-------- pygrt/C_extension/src/common/integral.c | 84 +++++ pygrt/C_extension/src/dynamic/grt.c | 37 +-- pygrt/C_extension/src/dynamic/grt_main.c | 47 ++- pygrt/C_extension/src/static/stgrt.c | 29 +- pygrt/C_extension/src/static/stgrt_main.c | 41 ++- pygrt/c_interfaces.py | 3 +- pygrt/pymod.py | 28 +- 13 files changed, 440 insertions(+), 209 deletions(-) diff --git a/pygrt/C_extension/include/common/fim.h b/pygrt/C_extension/include/common/fim.h index c16c5c75..ec1d61b1 100755 --- a/pygrt/C_extension/include/common/fim.h +++ b/pygrt/C_extension/include/common/fim.h @@ -30,7 +30,9 @@ * * * @param mod1d (in)`MODEL1D` 结构体指针 - * @param dk (in)波数积分间隔 + * @param k0 (in)前一部分的波数积分结束点k值 + * @param dk0 (in)前一部分的波数积分间隔 + * @param filondk (in)filon积分间隔 * @param kmax (in)波数积分的上限 * @param keps (in)波数积分的收敛条件，要求在某震中距下所有格林函数都收敛 * @param omega (in)复数频率 @@ -58,7 +60,7 @@ * @return k 积分截至时的波数 */ MYREAL linear_filon_integ( - const MODEL1D *mod1d, MYREAL dk, MYREAL kmax, MYREAL keps, MYCOMPLEX omega, + const MODEL1D *mod1d, MYREAL k0, MYREAL dk0, MYREAL filondk, MYREAL kmax, MYREAL keps, MYCOMPLEX omega, MYINT nr, MYREAL *rs, MYCOMPLEX sum_EXP_J[nr][3][4], MYCOMPLEX sum_VF_J[nr][3][4], MYCOMPLEX sum_HF_J[nr][3][4], MYCOMPLEX sum_DC_J[nr][3][4], diff --git a/pygrt/C_extension/include/common/integral.h b/pygrt/C_extension/include/common/integral.h index cf647ee0..a20297de 100644 --- a/pygrt/C_extension/include/common/integral.h +++ b/pygrt/C_extension/include/common/integral.h @@ -65,13 +65,14 @@ void merge_Pk( /** - * 和int_Pk函数类似，不过是计算核函数和渐近Bessel函数的乘积，其中涉及两种数组形状： + * 和int_Pk函数类似，不过是计算核函数和渐近Bessel函数的乘积 sqrt(k) * F(k,w) * cos ，其中涉及两种数组形状： * + [3][3]. 存储的是核函数，第一个维度3代表阶数m=0,1,2，第二个维度3代表三类系数qm,wm,vm * + [3][4]. 存储的是该dk区间内的积分值，维度3代表阶数m=0,1,2，维度4代表4种类型的F(k,w)Jm(kr)k的类型 * * * @param k (in)波数 * @param r (in)震中距 + * @param iscos (in)计算sin函数 * @param EXP_qwv[3][3] (in)爆炸源核函数 * @param VF_qwv[3][3] (in)垂直力源核函数 * @param HF_qwv[3][3] (in)水平力源核函数 @@ -84,7 +85,7 @@ void merge_Pk( * */ void int_Pk_filon( - MYREAL k, MYREAL r, + MYREAL k, MYREAL r, bool iscos, const MYCOMPLEX EXP_qwv[3][3], const MYCOMPLEX VF_qwv[3][3], const MYCOMPLEX HF_qwv[3][3], const MYCOMPLEX DC_qwv[3][3], bool calc_uir, diff --git a/pygrt/C_extension/include/dynamic/grt.h b/pygrt/C_extension/include/dynamic/grt.h index b00671c0..67294cb2 100755 --- a/pygrt/C_extension/include/dynamic/grt.h +++ b/pygrt/C_extension/include/dynamic/grt.h @@ -39,7 +39,9 @@ void set_num_threads(int num_threads); * @param keps (in)波数积分的收敛条件，要求在某震中距下所有格林函数都收敛，为负数代表不提前判断收敛，按照波数积分上限进行积分 * @param ampk (in)影响波数k积分上限的系数，见下方 * @param k0 (in)波数积分的上限 \f$ \tilde{k_{max}}=\sqrt{(k_{0}*\pi/hs)^2 + (ampk*w/vmin_{ref})^2} \f$ ，k循环必须退出, hs=max(震源和台站深度差,1.0) - * @param Length (in)波数k积分间隔 \f$ dk=2\pi/(fabs(L)*r_{max}) \f$ , 如果为负数，则使用线性Filon积分 + * @param Length (in)波数k积分间隔 \f$ dk=2\pi/(fabs(L)*r_{max}) \f$ + * @param filonLength (in)Filon积分间隔 + * @param filonCut (in)波数积分和Filon积分的分割点 * @param print_progressbar (in)是否打印进度条 * @param EXPgrn[nr][2] (out)复数数组，爆炸源的Z、R分量频谱结果 * @param VFgrn[nr][2] (out)复数数组，垂直力源的Z、R分量频谱结果 @@ -71,7 +73,7 @@ void set_num_threads(int num_threads); void integ_grn_spec_in_C( PYMODEL1D *pymod1d, MYINT nf1, MYINT nf2, MYINT nf, MYREAL *freqs, MYINT nr, MYREAL *rs, MYREAL wI, - MYREAL vmin_ref, MYREAL keps, MYREAL ampk, MYREAL k0, MYREAL Length, + MYREAL vmin_ref, MYREAL keps, MYREAL ampk, MYREAL k0, MYREAL Length, MYREAL filonLength, MYREAL filonCut, bool print_progressbar, // 返回值，维度2代表Z、R分量，维度3代表Z、R、T分量 @@ -117,7 +119,9 @@ void integ_grn_spec_in_C( * @param keps (in)波数积分的收敛条件，要求在某震中距下所有格林函数都收敛，为负数代表不提前判断收敛，按照波数积分上限进行积分 * @param ampk (in)影响波数k积分上限的系数，见下方 * @param k0 (in)波数积分的上限 \f$ \tilde{k_{max}}=\sqrt{(k_{0}*\pi/hs)^2 + (ampk*w/vmin_{ref})^2} \f$ ，k循环必须退出, hs=max(震源和台站深度差,1.0) - * @param Length (in)波数k积分间隔 \f$ dk=2\pi/(fabs(L)*r_{max}) \f$ , 如果为负数，则使用线性Filon积分 + * @param Length (in)波数k积分间隔 \f$ dk=2\pi/(fabs(L)*r_{max}) \f$ + * @param filonLength (in)Filon积分间隔 + * @param filonCut (in)波数积分和Filon积分的分割点 * @param print_progressbar (in)是否打印进度条 * @param EXPgrn[nr][2] (out)`GRN` 结构体指针，爆炸源的Z、R分量频谱结果 * @param VFgrn[nr][2] (out)`GRN` 结构体指针，垂直力源的Z、R分量频谱结果 @@ -148,7 +152,7 @@ void integ_grn_spec_in_C( void integ_grn_spec( PYMODEL1D *pymod1d, MYINT nf1, MYINT nf2, MYINT nf, MYREAL *freqs, MYINT nr, MYREAL *rs, MYREAL wI, - MYREAL vmin_ref, MYREAL keps, MYREAL ampk, MYREAL k0, MYREAL Length, + MYREAL vmin_ref, MYREAL keps, MYREAL ampk, MYREAL k0, MYREAL Length, MYREAL filonLength, MYREAL filonCut, bool print_progressbar, // 返回值，维度2代表Z、R分量，维度3代表Z、R、T分量 diff --git a/pygrt/C_extension/include/static/stgrt.h b/pygrt/C_extension/include/static/stgrt.h index e998b38d..861ebe78 100644 --- a/pygrt/C_extension/include/static/stgrt.h +++ b/pygrt/C_extension/include/static/stgrt.h @@ -27,7 +27,9 @@ * @param rs (in)震中距数组 * @param keps (in)波数积分的收敛条件，要求在某震中距下所有格林函数都收敛，为负数代表不提前判断收敛，按照波数积分上限进行积分 * @param k0 (in)波数积分的上限 - * @param Length (in)波数k积分间隔 \f$ dk=2\pi/(fabs(L)*r_{max}) \f$ , 如果为负数，则使用线性Filon积分 + * @param Length (in)波数k积分间隔 \f$ dk=2\pi/(fabs(L)*r_{max}) \f$ + * @param filonLength (in)Filon积分间隔 + * @param filonCut (in)波数积分和Filon积分的分割点 * @param EXPgrn[nr][2] (out)浮点数数组，爆炸源的Z、R分量频谱结果 * @param VFgrn[nr][2] (out)浮点数数组，垂直力源的Z、R分量频谱结果 * @param HFgrn[nr][3] (out)浮点数数组，水平力源的Z、R、T分量频谱结果 @@ -52,6 +54,7 @@ */ void integ_static_grn( PYMODEL1D *pymod1d, MYINT nr, MYREAL *rs, MYREAL vmin_ref, MYREAL keps, MYREAL k0, MYREAL Length, + MYREAL filonLength, MYREAL filonCut, // 返回值，维度2代表Z、R分量，维度3代表Z、R、T分量 MYREAL EXPgrn[nr][2], // EXZ, EXR 的实部和虚部 diff --git a/pygrt/C_extension/src/common/dwm.c b/pygrt/C_extension/src/common/dwm.c index 5e77e24f..e4fd072f 100644 --- a/pygrt/C_extension/src/common/dwm.c +++ b/pygrt/C_extension/src/common/dwm.c @@ -68,7 +68,7 @@ MYREAL discrete_integ( // 波数k循环 (5.9.2) while(true){ - if(k > kmax) break; + if(k > kmax && ik > 2) break; k += dk; // printf("w=%15.5e, ik=%d\n", CREAL(omega), ik); diff --git a/pygrt/C_extension/src/common/fim.c b/pygrt/C_extension/src/common/fim.c index aa094b6e..939478a8 100755 --- a/pygrt/C_extension/src/common/fim.c +++ b/pygrt/C_extension/src/common/fim.c @@ -23,34 +23,38 @@ MYREAL linear_filon_integ( - const MODEL1D *mod1d, MYREAL dk, MYREAL kmax, MYREAL keps, MYCOMPLEX omega, + const MODEL1D *mod1d, MYREAL k0, MYREAL dk0, MYREAL dk, MYREAL kmax, MYREAL keps, MYCOMPLEX omega, MYINT nr, MYREAL *rs, - MYCOMPLEX sum_EXP_J[nr][3][4], MYCOMPLEX sum_VF_J[nr][3][4], - MYCOMPLEX sum_HF_J[nr][3][4], MYCOMPLEX sum_DC_J[nr][3][4], + MYCOMPLEX sum_EXP_J0[nr][3][4], MYCOMPLEX sum_VF_J0[nr][3][4], + MYCOMPLEX sum_HF_J0[nr][3][4], MYCOMPLEX sum_DC_J0[nr][3][4], bool calc_upar, - MYCOMPLEX sum_EXP_uiz_J[nr][3][4], MYCOMPLEX sum_VF_uiz_J[nr][3][4], - MYCOMPLEX sum_HF_uiz_J[nr][3][4], MYCOMPLEX sum_DC_uiz_J[nr][3][4], - MYCOMPLEX sum_EXP_uir_J[nr][3][4], MYCOMPLEX sum_VF_uir_J[nr][3][4], - MYCOMPLEX sum_HF_uir_J[nr][3][4], MYCOMPLEX sum_DC_uir_J[nr][3][4], + MYCOMPLEX sum_EXP_uiz_J0[nr][3][4], MYCOMPLEX sum_VF_uiz_J0[nr][3][4], + MYCOMPLEX sum_HF_uiz_J0[nr][3][4], MYCOMPLEX sum_DC_uiz_J0[nr][3][4], + MYCOMPLEX sum_EXP_uir_J0[nr][3][4], MYCOMPLEX sum_VF_uir_J0[nr][3][4], + MYCOMPLEX sum_HF_uir_J0[nr][3][4], MYCOMPLEX sum_DC_uir_J0[nr][3][4], FILE *fstats, KernelFunc kerfunc) { - for(MYINT ir=0; ir kmax) break; + if(k > kmax && ik > 2) break; k += dk; // 计算核函数 F(k, w) @@ -122,9 +103,9 @@ MYREAL linear_filon_integ( for(MYINT ir=0; ir RZERO) ? PI2/(filonLength*rmax) : RZERO; // Filon积分间隔 + const MYREAL filonK = filonCut/rmax; // 波数积分和Filon积分的分割点 // PTAM的积分中间结果, 每个震中距两个文件，因为PTAM对不同震中距使用不同的dk @@ -653,20 +653,19 @@ void integ_grn_spec( kmax = SQRT(k02 + ampk2*(w/vmin_ref)*(w/vmin_ref)); - if(Length > RZERO){ - // 常规的波数积分 - k = discrete_integ( - local_mod1d, dk, kmax, keps, omega, nr, rs, - sum_EXP_J, sum_VF_J, sum_HF_J, sum_DC_J, - calc_upar, - sum_EXP_uiz_J, sum_VF_uiz_J, sum_HF_uiz_J, sum_DC_uiz_J, - sum_EXP_uir_J, sum_VF_uir_J, sum_HF_uir_J, sum_DC_uir_J, - fstats, kernel); - } - else { - // 基于线性插值的Filon积分 + // 常规的波数积分 + k = discrete_integ( + local_mod1d, dk, (filondk > RZERO)? filonK : kmax, keps, omega, nr, rs, + sum_EXP_J, sum_VF_J, sum_HF_J, sum_DC_J, + calc_upar, + sum_EXP_uiz_J, sum_VF_uiz_J, sum_HF_uiz_J, sum_DC_uiz_J, + sum_EXP_uir_J, sum_VF_uir_J, sum_HF_uir_J, sum_DC_uir_J, + fstats, kernel); + + // 基于线性插值的Filon积分 + if(filondk > RZERO){ k = linear_filon_integ( - local_mod1d, dk, kmax, keps, omega, nr, rs, + local_mod1d, k, dk, filondk, kmax, keps, omega, nr, rs, sum_EXP_J, sum_VF_J, sum_HF_J, sum_DC_J, calc_upar, sum_EXP_uiz_J, sum_VF_uiz_J, sum_HF_uiz_J, sum_DC_uiz_J, diff --git a/pygrt/C_extension/src/dynamic/grt_main.c b/pygrt/C_extension/src/dynamic/grt_main.c index 9749391b..4c7e24a3 100644 --- a/pygrt/C_extension/src/dynamic/grt_main.c +++ b/pygrt/C_extension/src/dynamic/grt_main.c @@ -78,8 +78,8 @@ static char *s_output_dir = NULL; static double freq1=-1.0, freq2=-1.0; // 虚频率系数和虚频率 static double zeta=0.8, wI=0.0; -// 波数积分间隔 -static double Length=0.0; +// 波数积分间隔, Filon积分间隔，Filon积分起始点 +static double Length=0.0, filonLength=0.0, filonCut=0.0; // 波数积分相关变量 static double keps=-1.0, ampk=1.15, k0=5.0; // 参考最小速度，小于0表示使用峰谷平均法; @@ -204,16 +204,20 @@ printf("\n" " : lower frequency (Hz), %.1f means low pass.\n", freq1); printf( " : upper frequency (Hz), %.1f means high pass.\n", freq2); printf( "\n" -" -L Define the wavenumber integration interval\n" +" -L[//]\n" +" Define the wavenumber integration interval\n" " dk=(2*PI)/(*rmax). rmax is the maximum \n" " epicentral distance. \n" " There are 3 cases:\n" " + (default) not set or set %.1f.\n", Length); printf( " will be determined automatically\n" " in program with the criterion (Bouchon, 1980).\n" -" + manually set POSITIVE value.\n" -" + manually set NEGATIVE value, \n" -" and FIM will be used.\n" +" + manually set one POSITIVE value, e.g. -L20\n" +" + manually set three POSITIVE values, \n" +" e.g. -L20/5/10, means split the integration \n" +" into two parts, [0, k*] and [k*, kmax], \n" +" in which k*=/rmax, and use DWM with\n" +" and FIM with , respectively.\n" "\n" " -V \n" " Minimum velocity (km/s) for reference. This\n" @@ -402,13 +406,25 @@ static void getopt_from_command(int argc, char **argv){ } break; - // 波数积分间隔 -LLength + // 波数积分间隔 -L[//] case 'L': L_flag = 1; - if(0 == sscanf(optarg, "%lf", &Length)){ - fprintf(stderr, "[%s] " BOLD_RED "Error in -L.\n" DEFAULT_RESTORE, command); - exit(EXIT_FAILURE); - }; + { + int n = sscanf(optarg, "%lf/%lf/%lf", &Length, &filonLength, &filonCut); + if(n != 1 && n != 3){ + fprintf(stderr, "[%s] " BOLD_RED "Error in -L.\n" DEFAULT_RESTORE, command); + exit(EXIT_FAILURE); + }; + if(n == 1 && Length <= 0){ + fprintf(stderr, "[%s] " BOLD_RED "Error! In -L, length should be positive.\n" DEFAULT_RESTORE, command); + exit(EXIT_FAILURE); + } + if(n == 3 && (filonLength <= 0 || filonCut < 0)){ + fprintf(stderr, "[%s] " BOLD_RED "Error! In -L, Flength should be positive, Fcut should be nonnegative.\n" DEFAULT_RESTORE, command); + exit(EXIT_FAILURE); + } + } + break; // 参考最小速度 -Vvmin_ref @@ -749,8 +765,11 @@ static void print_parameters(){ if(vmin_ref < 0.0) strncat(tmp, ", using PTAM.", sizeof(tmp)-strlen(tmp)-1); printf("| %-*s | %-*s |\n", nlen1-3, "vmin_ref", nlen2-3, tmp); // 特殊处理length的输出 - snprintf(tmp, sizeof(tmp), "%f", fabs(Length)); - if(Length < 0.0) strncat(tmp, ", using FIM.", sizeof(tmp)-strlen(tmp)-1); + snprintf(tmp, sizeof(tmp), "%f", Length); + if(filonLength > 0.0){ + snprintf(tmp, sizeof(tmp), "%f,%f,%f", Length, filonLength, filonCut); + strncat(tmp, ", using FIM.", sizeof(tmp)-strlen(tmp)-1); + } printf("| %-*s | %-*s |\n", nlen1-3, "length", nlen2-3, tmp); // printf("| %-*s | %-*d |\n", nlen1-3, "nt", nlen2-3, nt); @@ -1105,7 +1124,7 @@ int main(int argc, char **argv) { // 计算格林函数 integ_grn_spec_in_C( pymod, nf1, nf2, nf, freqs, nr, rs, wI, - vmin_ref, keps, ampk, k0, Length, !silenceInput, + vmin_ref, keps, ampk, k0, Length, filonLength, filonCut, !silenceInput, EXPcplx, VFcplx, HFcplx, DDcplx, DScplx, SScplx, calc_upar, EXPcplx_uiz, VFcplx_uiz, HFcplx_uiz, DDcplx_uiz, DScplx_uiz, SScplx_uiz, diff --git a/pygrt/C_extension/src/static/stgrt.c b/pygrt/C_extension/src/static/stgrt.c index 9b81dbc7..a194655a 100644 --- a/pygrt/C_extension/src/static/stgrt.c +++ b/pygrt/C_extension/src/static/stgrt.c @@ -126,6 +126,7 @@ static void recordin_GRN( void integ_static_grn( PYMODEL1D *pymod1d, MYINT nr, MYREAL *rs, MYREAL vmin_ref, MYREAL keps, MYREAL k0, MYREAL Length, + MYREAL filonLength, MYREAL filonCut, // 返回值，维度2代表Z、R分量，维度3代表Z、R、T分量 MYREAL EXPgrn[nr][2], // EXZ, EXR 的实部和虚部 @@ -166,6 +167,9 @@ void integ_static_grn( MYREAL k=0.0; const MYREAL dk=FABS(PI2/(Length*rmax)); // 波数积分间隔 + const MYREAL filondk = (filonLength > RZERO) ? PI2/(filonLength*rmax) : RZERO; // Filon积分间隔 + const MYREAL filonK = filonCut/rmax; // 波数积分和Filon积分的分割点 + const MYREAL kmax = k0; // 局部变量，用于求和 sum F(ki,w)Jm(ki*r)ki // 维度3代表阶数m=0,1,2，维度4代表4种类型的F(k,w)Jm(kr)k的类型，详见int_Pk()函数内的注释 @@ -251,20 +255,19 @@ void integ_static_grn( - if(Length > RZERO){ - // 常规的波数积分 - k = discrete_integ( - mod1d, dk, kmax, keps, 0.0, nr, rs, - sum_EXP_J, sum_VF_J, sum_HF_J, sum_DC_J, - calc_upar, - sum_EXP_uiz_J, sum_VF_uiz_J, sum_HF_uiz_J, sum_DC_uiz_J, - sum_EXP_uir_J, sum_VF_uir_J, sum_HF_uir_J, sum_DC_uir_J, - fstats, static_kernel); - } - else { - // 基于线性插值的Filon积分 + // 常规的波数积分 + k = discrete_integ( + mod1d, dk, (filondk > RZERO)? filonK : kmax, keps, 0.0, nr, rs, + sum_EXP_J, sum_VF_J, sum_HF_J, sum_DC_J, + calc_upar, + sum_EXP_uiz_J, sum_VF_uiz_J, sum_HF_uiz_J, sum_DC_uiz_J, + sum_EXP_uir_J, sum_VF_uir_J, sum_HF_uir_J, sum_DC_uir_J, + fstats, static_kernel); + + // 基于线性插值的Filon积分 + if(filondk > RZERO){ k = linear_filon_integ( - mod1d, dk, kmax, keps, 0.0, nr, rs, + mod1d, k, dk, filondk, kmax, keps, 0.0, nr, rs, sum_EXP_J, sum_VF_J, sum_HF_J, sum_DC_J, calc_upar, sum_EXP_uiz_J, sum_VF_uiz_J, sum_HF_uiz_J, sum_DC_uiz_J, diff --git a/pygrt/C_extension/src/static/stgrt_main.c b/pygrt/C_extension/src/static/stgrt_main.c index 98460c50..c8cdbf09 100644 --- a/pygrt/C_extension/src/static/stgrt_main.c +++ b/pygrt/C_extension/src/static/stgrt_main.c @@ -38,8 +38,9 @@ static double vmax, vmin; // 震源和场点深度 static double depsrc, deprcv; static char *s_depsrc = NULL, *s_deprcv = NULL; -// 波数积分间隔 -static double Length=0.0, Length0=15.0; // 默认Length +// 波数积分间隔, Filon积分间隔，Filon积分起始点 +static double Length=0.0, filonLength=0.0, filonCut=0.0; +static double Length0=15.0; // 默认Length // 波数积分相关变量 static double keps=-1.0, k0=5.0; // 参考最小速度，小于0表示使用峰谷平均法; @@ -114,15 +115,19 @@ printf("\n" " : end coordinate (km).\n" " : number of points.\n" "\n" -" -L Define the wavenumber integration interval\n" +" -L[//]\n" +" Define the wavenumber integration interval\n" " dk=(2*PI)/(*rmax). rmax is the maximum \n" " epicentral distance. \n" " There are 3 cases:\n" " + (default) not set or set %.1f.\n", Length); printf( " will be %.1f.\n", Length0); printf( -" + manually set POSITIVE value.\n" -" + manually set NEGATIVE value, \n" -" and FIM will be used.\n" +" + manually set one POSITIVE value, e.g. -L20\n" +" + manually set three POSITIVE values, \n" +" e.g. -L20/5/10, means split the integration \n" +" into two parts, [0, k*] and [k*, kmax], \n" +" in which k*=/rmax, and use DWM with\n" +" and FIM with , respectively.\n" "\n" " -V \n" " (Inherited from the dynamic case, and the numerical\n" @@ -244,13 +249,25 @@ static void getopt_from_command(int argc, char **argv){ } break; - // 波数积分间隔 -LLength + // 波数积分间隔 -L[//] case 'L': L_flag = 1; - if(0 == sscanf(optarg, "%lf", &Length)){ - fprintf(stderr, "[%s] " BOLD_RED "Error in -L.\n" DEFAULT_RESTORE, command); - exit(EXIT_FAILURE); - }; + { + int n = sscanf(optarg, "%lf/%lf/%lf", &Length, &filonLength, &filonCut); + if(n != 1 && n != 3){ + fprintf(stderr, "[%s] " BOLD_RED "Error in -L.\n" DEFAULT_RESTORE, command); + exit(EXIT_FAILURE); + }; + if(n == 1 && Length <= 0){ + fprintf(stderr, "[%s] " BOLD_RED "Error! In -L, length should be positive.\n" DEFAULT_RESTORE, command); + exit(EXIT_FAILURE); + } + if(n == 3 && (filonLength <= 0 || filonCut < 0)){ + fprintf(stderr, "[%s] " BOLD_RED "Error! In -L, Flength should be positive, Fcut should be nonnegative.\n" DEFAULT_RESTORE, command); + exit(EXIT_FAILURE); + } + } + break; // 参考最小速度 -Vvmin_ref @@ -478,7 +495,7 @@ int main(int argc, char **argv){ //============================================================================== // 计算静态格林函数 integ_static_grn( - pymod, nr, rs, vmin_ref, keps, k0, Length, + pymod, nr, rs, vmin_ref, keps, k0, Length, filonLength, filonCut, EXPgrn, VFgrn, HFgrn, DDgrn, DSgrn, SSgrn, calc_upar, EXPgrn_uiz, VFgrn_uiz, HFgrn_uiz, DDgrn_uiz, DSgrn_uiz, SSgrn_uiz, diff --git a/pygrt/c_interfaces.py b/pygrt/c_interfaces.py index 228a4ca4..74bc88c9 100755 --- a/pygrt/c_interfaces.py +++ b/pygrt/c_interfaces.py @@ -34,7 +34,7 @@ C_integ_grn_spec.argtypes = [ POINTER(c_PyModel1D), c_int, c_int, c_int, PREAL, c_int, PREAL, REAL, - REAL, REAL, REAL, REAL, REAL, + REAL, REAL, REAL, REAL, REAL, REAL, REAL, c_bool, POINTER(c_PGRN*2), @@ -71,6 +71,7 @@ C_integ_static_grn.restype = None C_integ_static_grn.argtypes = [ POINTER(c_PyModel1D), c_int, PREAL, REAL, REAL, REAL, REAL, + REAL, REAL, PREAL, PREAL, PREAL, PREAL, PREAL, PREAL, c_bool, PREAL, PREAL, PREAL, PREAL, PREAL, PREAL, diff --git a/pygrt/pymod.py b/pygrt/pymod.py index f00ba032..aaa8bddc 100755 --- a/pygrt/pymod.py +++ b/pygrt/pymod.py @@ -231,6 +231,7 @@ def compute_grn( ampk:float=1.15, k0:float=5.0, Length:float=0.0, + filonLC:Union[np.ndarray,List[float]]=[0.0,0.0], delayT0:float=0.0, delayV0:float=0.0, calc_upar:bool=False, @@ -258,7 +259,8 @@ def compute_grn( :param ampk: 影响波数k积分上限的系数，见下方 :param k0: 波数k积分的上限 :math:`\tilde{k_{max}}=\sqrt{(k_{0}*\pi/hs)^2 + (ampk*w/vmin_{ref})^2}` , 波数k积分循环必须退出, hs=max(震源和台站深度差,1.0) :param Length: 定义波数k积分的间隔 `dk=2\pi / (L*rmax)`, 选取要求见 :ref:`(Bouchon, 1981) ` - :ref:`(张海明, 2021) `，默认自动选择；负数表示使用Filon积分 + :ref:`(张海明, 2021) `，默认自动选择 + :param filonLC: Filon积分的间隔 filonLength, 和波数积分和Filon积分的分割点filonCut, k*=/rmax :param calc_upar: 是否计算位移u的空间导数 :param gf_source: 待计算的震源类型 :param statsfile: 波数k积分（包括Filon积分和峰谷平均法）的过程记录文件，常用于debug或者观察积分过程中 :math:`F(k,\omega)` 和 :math:`F(k,\omega)J_m(kr)k` 的变化 @@ -294,6 +296,13 @@ def compute_grn( raise ValueError(f"zeta ({zeta}) < 0") if k0 < 0: raise ValueError(f"k0 ({k0}) < 0") + + if Length < 0.0: + raise ValueError(f"Length ({Length}) < 0") + if np.any(filonLC) < 0.0: + raise ValueError(f"filonLC ({filonLC}) < 0") + + filonLC = np.array(filonLC).astype(NPCT_REAL_TYPE) nf = nt//2+1 df = 1/(nt*dt) @@ -361,6 +370,7 @@ def compute_grn( print(f"Length={Length:.2f}") + # 初始化格林函数C结构体 C_EXPgrn = ((c_PGRN*2)*nrs)() if calc_EXP else None C_VFgrn = ((c_PGRN*2)*nrs)() if calc_VF else None @@ -431,8 +441,8 @@ def compute_grn( else: print("") print(f"Length={abs(Length)}", end="") - if Length < 0.0: - print(", using FIM.") + if filonLC[0] > 0.0: + print(f",{filonLC}, using FIM.") else: print("") print(f"nt={nt}") @@ -463,7 +473,7 @@ def compute_grn( #================================================================================= C_integ_grn_spec( self.c_pymod1d, nf1, nf2, nf, c_freqs, nrs, c_rs, wI, - vmin_ref, keps, ampk, k0, Length, print_runtime, + vmin_ref, keps, ampk, k0, Length, filonLC[0], filonLC[1], print_runtime, C_EXPgrn, C_VFgrn, C_HFgrn, C_DDgrn, C_DSgrn, C_SSgrn, calc_upar, C_EXPgrn_uiz, C_VFgrn_uiz, C_HFgrn_uiz, C_DDgrn_uiz, C_DSgrn_uiz, C_SSgrn_uiz, @@ -563,6 +573,7 @@ def compute_static_grn( keps:float=-1.0, k0:float=5.0, Length:float=15.0, + filonLC:Union[np.ndarray,List[float]]=[0.0,0.0], calc_upar:bool=False, statsfile:Union[str,None]=None): @@ -577,6 +588,7 @@ def compute_static_grn( 为负数代表不提前判断收敛，按照波数积分上限进行积分 :param k0: 波数k积分的上限 :math:`\tilde{k_{max}}=(k_{0}*\pi/hs)^2` , 波数k积分循环必须退出, hs=max(震源和台站深度差,1.0) :param Length: 定义波数k积分的间隔 `dk=2\pi / (L*rmax)`, 默认15；负数表示使用Filon积分 + :param filonLC: Filon积分的间隔 filonLength, 和波数积分和Filon积分的分割点filonCut, k*=/rmax :param calc_upar: 是否计算位移u的空间导数 :param statsfile: 波数k积分（包括Filon积分和峰谷平均法）的过程记录文件，常用于debug或者观察积分过程中 :math:`F(k,\omega)` 和 :math:`F(k,\omega)J_m(kr)k` 的变化 @@ -584,6 +596,12 @@ def compute_static_grn( - **dataDct** - 字典形式的格林函数 """ + if Length < 0.0: + raise ValueError(f"Length ({Length}) < 0") + if np.any(filonLC) < 0.0: + raise ValueError(f"filonLC ({filonLC}) < 0") + + depsrc = self.depsrc deprcv = self.deprcv @@ -656,7 +674,7 @@ def compute_static_grn( # 剪切源 DD[ZR],DS[ZRT],SS[ZRT] 1e-20 cm/(dyne*cm) #================================================================================= C_integ_static_grn( - self.c_pymod1d, nr, c_rs, vmin_ref, keps, k0, Length, + self.c_pymod1d, nr, c_rs, vmin_ref, keps, k0, Length, filonLC[0], filonLC[1], C_EXPgrn, C_VFgrn, C_HFgrn, C_DDgrn, C_DSgrn, C_SSgrn, calc_upar, C_EXPgrn_uiz, C_VFgrn_uiz, C_HFgrn_uiz, C_DDgrn_uiz, C_DSgrn_uiz, C_SSgrn_uiz, From 215993c3a1c2180ffcaf472274870e49aed5f527 Mon Sep 17 00:00:00 2001 From: Dengda98 Date: Thu, 24 Apr 2025 16:18:09 +0800 Subject: [PATCH 2/4] TEST: remove `far_field` example --- .github/workflows/build.yml | 9 --- .github/workflows/testbuild.yml | 9 --- example/far_field/FIM_compare1.pdf | Bin 83268 -> 0 bytes example/far_field/FIM_compare2.pdf | Bin 36012 -> 0 bytes example/far_field/milrow | 9 --- example/far_field/plot1.sh | 14 ----- example/far_field/plot_compare_pygrt.py | 75 ------------------------ example/far_field/run_milrow_grt.sh | 19 ------ example/far_field/test.png | Bin 191804 -> 0 bytes 9 files changed, 135 deletions(-) delete mode 100644 example/far_field/FIM_compare1.pdf delete mode 100644 example/far_field/FIM_compare2.pdf delete mode 100644 example/far_field/milrow delete mode 100755 example/far_field/plot1.sh delete mode 100644 example/far_field/plot_compare_pygrt.py delete mode 100755 example/far_field/run_milrow_grt.sh delete mode 100644 example/far_field/test.png diff --git a/.github/workflows/build.yml b/.github/workflows/build.yml index efef4baf..abf3143f 100644 --- a/.github/workflows/build.yml +++ b/.github/workflows/build.yml @@ -318,15 +318,6 @@ jobs: ./run1.sh python run2.py - - name: Test 5 far_field - working-directory: ${{ env.EXAMPLE_COPY_PATH }}/far_field - timeout-minutes: 1 - run: | - chmod +x *.sh - ./run_milrow_grt.sh - python plot_compare_pygrt.py - continue-on-error: true # 即使失败，仍然标记为成功 - - name: Test strain stress (dynamic) working-directory: ${{ env.EXAMPLE_COPY_PATH }}/compute_strain_stress/dynamic run: | diff --git a/.github/workflows/testbuild.yml b/.github/workflows/testbuild.yml index 575c4467..4689f6c5 100644 --- a/.github/workflows/testbuild.yml +++ b/.github/workflows/testbuild.yml @@ -272,15 +272,6 @@ jobs: # ./run1.sh # python run2.py - # - name: Test 5 far_field - # working-directory: ${{ env.EXAMPLE_COPY_PATH }}/far_field - # timeout-minutes: 1 - # run: | - # chmod +x *.sh - # ./run_milrow_grt.sh - # python plot_compare_pygrt.py - # continue-on-error: true # 即使失败，仍然标记为成功 - # - name: Test signal convolution # working-directory: ${{ env.EXAMPLE_COPY_PATH }}/convolve_signals # run: | diff --git a/example/far_field/FIM_compare1.pdf 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z-*347pI|b&K@y&D+{#MH%E{Tw^|+1gNkU`t)3R-@CyyVq_FQJ@bnK+ZVOQ&AveGg# z{22vL(Ty^bHy*X7Sh*f|K6%{9k@(>Tih=g_Wji%AmhEwMI(GbowU7YcS#du{|82(AH@Iw From 452145297f2b01149a79ae202b9f2c682176da46 Mon Sep 17 00:00:00 2001 From: Dengda98 Date: Thu, 24 Apr 2025 16:39:26 +0800 Subject: [PATCH 3/4] DOC: update README --- README.md | 6 +++++- figs/example_ZRT.png | Bin 0 -> 297634 bytes 2 files changed, 5 insertions(+), 1 deletion(-) create mode 100644 figs/example_ZRT.png diff --git a/README.md b/README.md index 64a61f93..4b17727a 100755 --- a/README.md +++ b/README.md @@ -9,6 +9,11 @@ GitHub License

+

+ Image 2 +

+ + > ⭐ **Like this project? Give it a Star!** ⭐ [**中文文档**](https://pygrt.readthedocs.io/zh-cn/) | [**English Document**](https://pygrt.readthedocs.io/en/) @@ -130,7 +135,6 @@ Then you can run the command like `grt` in terminal.

multi traces lamb problem - far-field record

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zsb6*(Arwl`Rr8{>sw33fXhz3w5hdn76Px2i=KHburBdM*2P1)IFIuu?TxTHq zXfD1caH}0{P#)A( zA^2Q45$Ei8ei2S@L3)ID!BHpd+6AZqa&n9H7;im(W{RdhAJ@~c2U;Gs6Soj(255~l zcZEW7=S~Ze^#_0Sf_*jYCz$_!lR<8__%|?;{cBs+A2po+{ Date: Thu, 24 Apr 2025 18:57:44 +0800 Subject: [PATCH 4/4] =?UTF-8?q?DOC:=20add=20`k=5Finteg`=20and=20`filon=5Fl?= =?UTF-8?q?inear`=EF=BC=8Cupdate=20`run=5Fall.sh`,=20and=20fix=20some=20ty?= =?UTF-8?q?pos?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- docs/compile.sh | 2 +- .../locales/en/LC_MESSAGES/API/pygrt/pymod.po | 137 ++++---- .../locales/en/LC_MESSAGES/API/pygrt/utils.po | 243 ++++++------- .../en/LC_MESSAGES/Advanced/filon_linear.po | 187 ++++++++++ .../Advanced/integ_converg/integ_converg.po | 323 ++++++++++-------- .../en/LC_MESSAGES/Advanced/k_integ.po | 214 ++++++++++++ .../en/LC_MESSAGES/Tutorial/dynamic/gfunc.po | 13 +- docs/source/Advanced/filon_linear.rst | 75 ++++ docs/source/Advanced/index.rst | 2 + .../Advanced/integ_converg/integ_converg.rst | 4 +- docs/source/Advanced/k_integ.rst | 79 +++++ docs/source/Tutorial/dynamic/gfunc.rst | 8 +- docs/source/{Tutorial => }/run_all.sh | 13 +- 13 files changed, 968 insertions(+), 332 deletions(-) create mode 100644 docs/locales/en/LC_MESSAGES/Advanced/filon_linear.po create mode 100644 docs/locales/en/LC_MESSAGES/Advanced/k_integ.po create mode 100644 docs/source/Advanced/filon_linear.rst create mode 100644 docs/source/Advanced/k_integ.rst rename docs/source/{Tutorial => }/run_all.sh (78%) diff --git a/docs/compile.sh b/docs/compile.sh index b68a21c5..b5ca7605 100755 --- a/docs/compile.sh +++ b/docs/compile.sh @@ -11,7 +11,7 @@ cd - export PATH=`realpath ../pygrt/C_extension/bin`:$PATH grt -h # 使用PyGRT运行文档需要的示例结果 -cd source/Tutorial && chmod +x *.sh && ./run_all.sh && cd - +cd source && chmod +x *.sh && ./run_all.sh && cd - # 清空构建的旧文档 make clean diff --git a/docs/locales/en/LC_MESSAGES/API/pygrt/pymod.po b/docs/locales/en/LC_MESSAGES/API/pygrt/pymod.po index ed8ec05a..9db95e27 100644 --- a/docs/locales/en/LC_MESSAGES/API/pygrt/pymod.po +++ b/docs/locales/en/LC_MESSAGES/API/pygrt/pymod.po @@ -8,7 +8,7 @@ msgid "" msgstr "" "Project-Id-Version: PyGRT 0.6.1.dev1+g4641a40.d20250422\n" "Report-Msgid-Bugs-To: \n" -"POT-Creation-Date: 2025-04-22 15:39+0800\n" +"POT-Creation-Date: 2025-04-24 18:17+0800\n" "PO-Revision-Date: YEAR-MO-DA HO:MI+ZONE\n" "Last-Translator: FULL NAME \n" "Language: en\n" @@ -19,114 +19,114 @@ msgstr "" "Content-Transfer-Encoding: 8bit\n" "Generated-By: Babel 2.16.0\n" -#: ../../source/API/pygrt/pymod.rst:2 e7f536d1cdc5400aaeba9c86e466cff8 +#: ../../source/API/pygrt/pymod.rst:2 c5c865636ae5496c9d2063b5e09ee66c msgid "pygrt.pymod" msgstr "" -#: d2cf7b15f9e44dee8721a6af70e75483 of pygrt.pymod +#: a1e52108d0ee47ed9c2cd4ce8859ca7f of pygrt.pymod msgid "file" msgstr "" -#: e48998aaa5cf47d7a101f9e458162c85 of pygrt.pymod:1 +#: 49d66c5682784f70961e60d5f829024a of pygrt.pymod:1 msgid "pymod.py" msgstr "" -#: 640745858728437fb6f5ab3aa3929182 of pygrt.pymod +#: 48e4b14106a44b48a6b095d5f3205782 of pygrt.pymod msgid "author" msgstr "" -#: afc6df31e67140679fc5b67b58ae00bc of pygrt.pymod:2 +#: 05d7f891333442f0af79997d3370dc51 of pygrt.pymod:2 msgid "Zhu Dengda (zhudengda@mail.iggcas.ac.cn)" msgstr "" -#: 11fb51b9ee0c4f078ca6a1b63701d222 of pygrt.pymod +#: 6339cca2fdf7497793cd91ecea2497a9 of pygrt.pymod msgid "date" msgstr "" -#: 4e39b8b5ad994f2dab023e149e0ba292 of pygrt.pymod:3 +#: f667fea53734432fadd11fb7549bc34d of pygrt.pymod:3 msgid "2024-07-24" msgstr "" -#: 3e7fbcc8549849f2b89fc86a90eab68a of pygrt.pymod:5 +#: 0c7bd6dd1a44451882669d6f270802c8 of pygrt.pymod:5 msgid "该文件包括 Python端使用的模型 :class:`pygrt.c_structures.c_PyModel1D`" msgstr "" -#: 331b0b16fe5d4d5f94f353f43082ff5a of pygrt.pymod.PyModel1D:1 +#: d46459a48742475d9119928e98cd6e56 of pygrt.pymod.PyModel1D:1 msgid "基类：:py:class:`object`" msgstr "" -#: ae7e9088fb364b148dfebe026482b6e9 of pygrt.pymod.PyModel1D.__init__:1 +#: efb9a64979ff4dc8852f5387fa182c30 of pygrt.pymod.PyModel1D.__init__:1 msgid "将震源和台站插入定义模型的数组，转为 :class:`PyModel1D ` 实例的形式" msgstr "" -#: ../../source/API/pygrt/pymod.rst 0a98fdb3c16b497da0f687d3baf06aad -#: 1da3649d15a7433c8e8b1744fc871cc2 5d93bd28ae8c43e4ba80c2548c1e0433 -#: cdb83ff2437f4321b89728007b838e7c +#: ../../source/API/pygrt/pymod.rst 00f273f5f307446d8ff93f63865f56b4 +#: 0faea18c0e5648299b9da1e6b609096c e0b0748d57ee471c9c11a5b200d9ff60 +#: e63156842d424154b0cd310a4c5a3156 msgid "参数" msgstr "" -#: 77509f5037c340e194089af5761d060e of pygrt.pymod.PyModel1D.__init__:3 +#: dc20fb797b184216bd0f3d312d9e04ed of pygrt.pymod.PyModel1D.__init__:3 msgid "模型数组，每行格式为[thickness(km), Vp(km/s), Vs(km/s), Rho(g/cm^3), Qp, Qs]" msgstr "" -#: 40a38b18b20e4ec3a8133696c9c05002 of pygrt.pymod.PyModel1D.__init__:4 +#: 68bf2f6134304816bb9f5e49824c4c25 of pygrt.pymod.PyModel1D.__init__:4 msgid "震源深度(km)" msgstr "" -#: 9351cc4b254d43a69695160514d4d1af of pygrt.pymod.PyModel1D.__init__:5 +#: ded9d835ddac4b248e088028f7c93246 of pygrt.pymod.PyModel1D.__init__:5 msgid "台站深度(km)" msgstr "" -#: 5c7e1f5e771640fcab40fe61edbef89a of pygrt.pymod.PyModel1D.compute_travt1d:1 +#: bd3e1578b90440d2a08da56ad5b93b61 of pygrt.pymod.PyModel1D.compute_travt1d:1 msgid "调用C程序，计算初至P波和S波的走时" msgstr "" -#: 4a32b8c26a1e4c35a17f38e2daa15fc9 of pygrt.pymod.PyModel1D.compute_travt1d:3 +#: d4b71727c8cf41db9a9cb1f9d81d33a0 of pygrt.pymod.PyModel1D.compute_travt1d:3 msgid "震中距" msgstr "" -#: ../../source/API/pygrt/pymod.rst 149aa9295992445182ff1313d0acc72e -#: 8b65feb514004a3c87d87fa3b21cc025 f8c57f6c9d264ea0a1ade018261c17b0 +#: ../../source/API/pygrt/pymod.rst 5660d9be95354f2187d677e7eef63f1f +#: a2fd30283e964f43aecce7960dfdb87b cdb8a50a02b845138db3d7b5ba5f93b9 msgid "返回" msgstr "" -#: fa4b5d7a42f348479866be1bae7187e1 of pygrt.pymod.PyModel1D.compute_travt1d:5 +#: 3ff18a25edfd4b2cb094d7ca6842d384 of pygrt.pymod.PyModel1D.compute_travt1d:5 msgid "- **travtP** - 初至P波走时(s) - **travtS** - 初至S波走时(s)" msgstr "" -#: aa81b56bab764ef0a7851771edcf6dca of pygrt.pymod.PyModel1D.compute_travt1d:6 +#: e486be005c6b46a4b7e33b970e6d8526 of pygrt.pymod.PyModel1D.compute_travt1d:6 msgid "**travtP** - 初至P波走时(s)" msgstr "" -#: cbd346d45afc4d8b803a2dc87ac5d854 of pygrt.pymod.PyModel1D.compute_travt1d:7 +#: 30f6484e6a834a99affe0ad7205452e3 of pygrt.pymod.PyModel1D.compute_travt1d:7 msgid "**travtS** - 初至S波走时(s)" msgstr "" -#: f5b4a2c40dfd491a9cebd69488771437 of pygrt.pymod.PyModel1D.gen_gf_spectra:1 +#: fddd6d25bc904158a7c8638591c460fc of pygrt.pymod.PyModel1D.gen_gf_spectra:1 msgid "Bad function name, has already been removed. Use 'compute_grn' instead." msgstr "" -#: 2b08516abb714e4d8065642466c2a924 of pygrt.pymod.PyModel1D.compute_grn:1 +#: 4d1eba9a8610450988c3850a80e3d00f of pygrt.pymod.PyModel1D.compute_grn:1 msgid "调用C库计算格林函数的主函数，以列表的形式返回，其中每个元素为对应震中距的格林函数 :class:`obspy.Stream` 类型。" msgstr "" -#: c8b04ff304dd422f86dde7bf6d075fcf of pygrt.pymod.PyModel1D.compute_grn:4 +#: bafd97d3163a462b8734f42bf4005c1a of pygrt.pymod.PyModel1D.compute_grn:4 msgid "多个震中距(km) 的数组, 或单个震中距的浮点数" msgstr "" -#: fbe2f056d603491fa2c82fbf0cb77197 of pygrt.pymod.PyModel1D.compute_grn:5 +#: 5b370033819f47b18fd4541c7cc7a426 of pygrt.pymod.PyModel1D.compute_grn:5 msgid "时间点数，借助于 `SciPy`，nt不再要求是2的幂次" msgstr "" -#: a18435b35d274f7ba80b19279240e871 of pygrt.pymod.PyModel1D.compute_grn:6 +#: 0e74b7963c9947c2842a39c73ed6eb62 of pygrt.pymod.PyModel1D.compute_grn:6 msgid "采样间隔(s)" msgstr "" -#: 9ca52cf2b1414df2b871e5acb00d185f of pygrt.pymod.PyModel1D.compute_grn:7 +#: 33055c6f62424e219ba48ac00b885e99 of pygrt.pymod.PyModel1D.compute_grn:7 msgid "频率范围(Hz)，以此确定待计算的离散频率点" msgstr "" -#: 1bfa1f6b33ec4d4a913474b43b8da539 of pygrt.pymod.PyModel1D.compute_grn:8 +#: 52a11230f22b4d48948605fe85a3c5bb of pygrt.pymod.PyModel1D.compute_grn:8 msgid "" "定义虚频率的系数 :math:`\\zeta` ， 虚频率 :math:`\\tilde{\\omega} = \\omega - j*w_I, " "w_I = \\zeta*\\pi/T, T=nt*dt` , T为时窗长度。 使用离散波数积分时为了避开附加源以及奇点的影响， " @@ -134,13 +134,13 @@ msgid "" "2021) `" msgstr "" -#: e5f11f8a05774f22b32a4899c93cfdb0 of pygrt.pymod.PyModel1D.compute_grn:11 +#: 0021ce7eee8249e2b0a9aa3ea050d6ba of pygrt.pymod.PyModel1D.compute_grn:11 msgid "" "最小参考速度，默认vmin=max(minimum velocity, 0.1)，用于定义波数积分上限，小于0则在达到积分上限后使用峰谷平均法 " "（默认当震源和场点深度差<=1km时自动使用峰谷平均法）" msgstr "" -#: 27a9589f54d7425eb318d1b46621c7cb 43abf89846b44514b42e8bb73dc9302c of +#: 76dbb9a8011040519559009608db9e1f f700cc4267804f2b94b825c6a551117c of #: pygrt.pymod.PyModel1D.compute_grn:13 #: pygrt.pymod.PyModel1D.compute_static_grn:7 msgid "" @@ -148,99 +148,116 @@ msgid "" ":ref:`(初稿) `， 为负数代表不提前判断收敛，按照波数积分上限进行积分" msgstr "" -#: 17e75148fc624d618fad8364d219de85 of pygrt.pymod.PyModel1D.compute_grn:15 +#: 68470abb73644bffb4188d900668289d of pygrt.pymod.PyModel1D.compute_grn:15 msgid "影响波数k积分上限的系数，见下方" msgstr "" -#: 1350d07980ca4734b40e56d20da115c6 of pygrt.pymod.PyModel1D.compute_grn:16 -msgid "k0是否取随频率变化的线性关系，即 :math:`k_{0} = k_{0} * f/f_{max}`" -msgstr "" - -#: 9e6874d747704651890c920d659f049f of pygrt.pymod.PyModel1D.compute_grn:17 +#: cbfe80d8ef6342b1b9d0aceca4c14c0c of pygrt.pymod.PyModel1D.compute_grn:16 msgid "" "波数k积分的上限 :math:`\\tilde{k_{max}}=\\sqrt{(k_{0}*\\pi/hs)^2 + " "(ampk*w/vmin_{ref})^2}` , 波数k积分循环必须退出, hs=max(震源和台站深度差,1.0)" msgstr "" -#: 7426d4a6c5af4eb4b8756204699566d6 of pygrt.pymod.PyModel1D.compute_grn:18 +#: 19185cb4f9204dd68b97e06590cff60a of pygrt.pymod.PyModel1D.compute_grn:17 msgid "" "定义波数k积分的间隔 `dk=2\\pi / (L*rmax)`, 选取要求见 :ref:`(Bouchon, 1981) " -"` :ref:`(张海明, 2021) `，默认自动选择；负数表示使用Filon积分" +"` :ref:`(张海明, 2021) `，默认自动选择" msgstr "" -#: 045e634ca0a7423687535bc8b654523a e0018772dc744e699a1d7dbeae34efda of -#: pygrt.pymod.PyModel1D.compute_grn:20 +#: bc3a82fe9c304353b1344df5b6dcfbd2 e1b962a45a4c429bb636ffa032943c8c of +#: pygrt.pymod.PyModel1D.compute_grn:19 #: pygrt.pymod.PyModel1D.compute_static_grn:11 +msgid "Filon积分的间隔 filonLength, 和波数积分和Filon积分的分割点filonCut, k*=/rmax" +msgstr "" + +#: 8ff689fbcc81451d814cf14b42728c92 fd5bf22ac2594bd1bd1ec601ec0a4684 of +#: pygrt.pymod.PyModel1D.compute_grn:20 +#: pygrt.pymod.PyModel1D.compute_static_grn:12 msgid "是否计算位移u的空间导数" msgstr "" -#: 08949045de834c17acd4bb55cb1bd1fc of pygrt.pymod.PyModel1D.compute_grn:21 +#: 8325f19427e246388992a9f70bdb2782 of pygrt.pymod.PyModel1D.compute_grn:21 msgid "待计算的震源类型" msgstr "" -#: 32a62d7b90b94283a227a9c76ba47d3c bd875cbef392452e8a00798a4f52ec6d of +#: 44ca9359c4914d88bc64faabbb334efd d3bd5bf31c7c49fc8e813e0350e4bbf7 of #: pygrt.pymod.PyModel1D.compute_grn:22 -#: pygrt.pymod.PyModel1D.compute_static_grn:12 +#: pygrt.pymod.PyModel1D.compute_static_grn:13 msgid "" "波数k积分（包括Filon积分和峰谷平均法）的过程记录文件，常用于debug或者观察积分过程中 :math:`F(k,\\omega)` 和 " ":math:`F(k,\\omega)J_m(kr)k` 的变化" msgstr "" -#: 8ab5ecb838aa471da78fd27e5a42d7fe of pygrt.pymod.PyModel1D.compute_grn:23 +#: 1636ba0210894c39b35a13fa7fb35556 of pygrt.pymod.PyModel1D.compute_grn:23 msgid "仅输出特定频点的过程记录文件，建议给定频点，否则默认所有频率点的记录文件都输出，很占空间" msgstr "" -#: aac60757a20040e4b67b6aa5c0ed89a8 of pygrt.pymod.PyModel1D.compute_grn:24 +#: 03ee508b418a40b9b41c6e76107f10f5 of pygrt.pymod.PyModel1D.compute_grn:24 msgid "是否打印运行时间" msgstr "" -#: 5fd8535c91be4135a824e6b314cbe26f of pygrt.pymod.PyModel1D.compute_grn:26 +#: be94abff6e024b209726b86f3a881d7c of pygrt.pymod.PyModel1D.compute_grn:26 msgid "- **dataLst** - 列表，每个元素为 :class:`obspy.Stream` 类型 )" msgstr "" -#: de8834e0f4214c16a5f19eae3a59ff11 of pygrt.pymod.PyModel1D.compute_grn:27 +#: b19bbe652b20401c9e0cbc89ebeacb94 of pygrt.pymod.PyModel1D.compute_grn:27 msgid "**dataLst** - 列表，每个元素为 :class:`obspy.Stream` 类型 )" msgstr "" -#: c0c9b83e636e4fc384e5740ef78c6f7f of +#: be5c5b5e256e42138b55d63d9cdcc1d2 of #: pygrt.pymod.PyModel1D.compute_static_grn:1 msgid "调用C库计算静态格林函数，以字典的形式返回" msgstr "" -#: b8e5bf8baa8a4df78c1ec794c42c17e4 of +#: 17950d388a3d403c8538d9d2b8aa1402 of #: pygrt.pymod.PyModel1D.compute_static_grn:3 msgid "北向坐标数组，或单个浮点数" msgstr "" -#: d82953a85d714e7e8402b03d46638d16 of +#: 8b75a8705b0e4aa691ffa6436c220038 of #: pygrt.pymod.PyModel1D.compute_static_grn:4 msgid "东向坐标数组，或单个浮点数" msgstr "" -#: 2ff74aa09f724018843974fce9903024 of +#: 98919ce775504040b0121614e2ac2b3d of #: pygrt.pymod.PyModel1D.compute_static_grn:5 msgid "最小参考速度（具体数值不使用），小于0则在达到积分上限后使用峰谷平均法 （默认当震源和场点深度差<=0.5km时自动使用峰谷平均法）" msgstr "" -#: 8cb8d8ff8bd6496396e8715ae1f5e3c8 of +#: b4a776378c2845638e458d78e8c0f20f of #: pygrt.pymod.PyModel1D.compute_static_grn:9 msgid "" "波数k积分的上限 :math:`\\tilde{k_{max}}=(k_{0}*\\pi/hs)^2` , 波数k积分循环必须退出, " "hs=max(震源和台站深度差,1.0)" msgstr "" -#: 31eab48150c94007839618d261e838c0 of +#: 23e13c83e5e145bbaa7ddb3b7f20ded8 of #: pygrt.pymod.PyModel1D.compute_static_grn:10 msgid "定义波数k积分的间隔 `dk=2\\pi / (L*rmax)`, 默认15；负数表示使用Filon积分" msgstr "" -#: 1eb33958b8284ca9baa98bdf080778c8 of -#: pygrt.pymod.PyModel1D.compute_static_grn:14 +#: 92a1dbf5500b4f5a911d9d9006d0fb99 of +#: pygrt.pymod.PyModel1D.compute_static_grn:15 msgid "- **dataDct** - 字典形式的格林函数" msgstr "" -#: 3badb466d43d4ce6872226bf3d434822 of -#: pygrt.pymod.PyModel1D.compute_static_grn:15 +#: 6f1b955e85ea4a878a20731884441a2f of +#: pygrt.pymod.PyModel1D.compute_static_grn:16 msgid "**dataDct** - 字典形式的格林函数" msgstr "" +#~ msgid "k0是否取随频率变化的线性关系，即 :math:`k_{0} = k_{0} * f/f_{max}`" +#~ msgstr "" + +#~ msgid "" +#~ "定义波数k积分的间隔 `dk=2\\pi / (L*rmax)`, 选取要求见 " +#~ ":ref:`(Bouchon, 1981) ` :ref:`(张海明," +#~ " 2021) `，默认自动选择；负数表示使用Filon积分" +#~ msgstr "" + +#~ msgid "" +#~ "波数k积分（包括Filon积分和峰谷平均法）的过程记录文件，常用于debug或者观察积分过程中 " +#~ ":math:`F_m(k,\\omega)` 和 :math:`F_m(k,\\omega)J_m(kr)k`" +#~ " 的变化" +#~ msgstr "" + diff --git a/docs/locales/en/LC_MESSAGES/API/pygrt/utils.po b/docs/locales/en/LC_MESSAGES/API/pygrt/utils.po index 4b450ed6..560f3f6a 100644 --- a/docs/locales/en/LC_MESSAGES/API/pygrt/utils.po +++ b/docs/locales/en/LC_MESSAGES/API/pygrt/utils.po @@ -8,7 +8,7 @@ msgid "" msgstr "" "Project-Id-Version: PyGRT 0.6.1.dev1+g4641a40.d20250422\n" "Report-Msgid-Bugs-To: \n" -"POT-Creation-Date: 2025-04-22 15:39+0800\n" +"POT-Creation-Date: 2025-04-24 18:17+0800\n" "PO-Revision-Date: YEAR-MO-DA HO:MI+ZONE\n" "Last-Translator: FULL NAME \n" "Language: en\n" @@ -19,357 +19,357 @@ msgstr "" "Content-Transfer-Encoding: 8bit\n" "Generated-By: Babel 2.16.0\n" -#: ../../source/API/pygrt/utils.rst:2 0375762377f84022ae3a82e7e66361b9 +#: ../../source/API/pygrt/utils.rst:2 8324f60eb6e644b1bca00787f9769533 msgid "pygrt.utils" msgstr "" -#: 810524be3e8b407e94291385099eaf46 of pygrt.utils +#: 9044f9ea6272402c90c13c25a501b5be of pygrt.utils msgid "file" msgstr "" -#: 94dc7544ba184d63bf44a1ef7fc3f1e6 of pygrt.utils:1 +#: a8128809ee124d8c8c7accd5bfe6814a of pygrt.utils:1 msgid "utils.py" msgstr "" -#: 1ddc07e75b034cc198697c45bbe42767 of pygrt.utils +#: 28188270f03b4651aa81358f1bd10665 of pygrt.utils msgid "author" msgstr "" -#: 767629f5cba547fe9fd7aeff440bf372 of pygrt.utils:2 +#: 32d8e11a9f0347498a33e95c494f466b of pygrt.utils:2 msgid "Zhu Dengda (zhudengda@mail.iggcas.ac.cn)" msgstr "" -#: 8ce2d0ad1fb04ebbac9922cb92b6d043 of pygrt.utils +#: 4ca09d813ce64ec0bf8b9c6ba7b834e6 of pygrt.utils msgid "date" msgstr "" -#: 6509206572134afbb8a78c409fef38cf of pygrt.utils:3 +#: 4c9c3cb810f84f2a9613c1757b5125c6 of pygrt.utils:3 msgid "2024-07-24" msgstr "" -#: d2d9f57181a540ae8a1455e331e636c3 of pygrt.utils:11 +#: c1c6b4dffc9a4e0d8eb207f083e90bfa of pygrt.utils:11 msgid "该文件包含一些数据处理操作上的补充:" msgstr "" -#: 99b2103534eb4ab28d1dba95ce2a819e of pygrt.utils:6 +#: ae18e7fecc8d422f8b3dab9fd754480a of pygrt.utils:6 msgid "1、剪切源、单力源、爆炸源、矩张量源 通过格林函数合成理论地震图的函数" msgstr "" -#: 561b5cf142de4d6b85f517cc91cce15e of pygrt.utils:8 +#: 4698ff529395475d90340bba280e28c2 of pygrt.utils:8 msgid "2、Stream类型的时域卷积、微分、积分 (基于numpy和scipy)" msgstr "" -#: 9aa16e03baeb42ffae785ea48435a40a of pygrt.utils:10 +#: 45bb29a7a7c84bdeb7c90436cbf21bc1 of pygrt.utils:10 msgid "3、Stream类型写到本地sac文件，自定义名称" msgstr "" -#: d4c1ebcb9d5843f4a810754b881f231d of pygrt.utils:12 +#: 7a08521279334c24a62b0511cda313a6 of pygrt.utils:12 msgid "4、读取波数积分和峰谷平均法过程文件" msgstr "" -#: 0db8e62fb2624660b8c5ad125469b8cd of pygrt.utils.gen_syn_from_gf_DC:1 +#: 5961fb2684c64bc1b2fa782842897613 of pygrt.utils.gen_syn_from_gf_DC:1 msgid "剪切源，角度单位均为度" msgstr "" -#: ../../source/API/pygrt/utils.rst 02b162a388e742388ace47a53a52b6f2 -#: 1b2150f769a04cd8bf1c12810af5cb80 3134184ba6424f98bbf1cf9bc7ac47e4 -#: 4d9faca31e364fb1ba128316b6786841 7055b8c4441644168084982185d106f3 -#: 8141ac9061aa4cc489c186c028a1f1b2 83ad1b1fe4f842369b3ba5599771814c -#: 83e48521ad8b4372acf6cba54a5bf4fb 96d78e7247514d548140c125e8a2e013 -#: b6249bb5176b4b37ac74c9a68feb8920 bcd9993793654ad8ae2766f9a99d4a2e -#: cc16766fb2af4c9aa1a89582402a311f d080f4ded3b847fc9c9d0fb1eaec90fd -#: d538f8420b5041a5b0351392505bdf87 ddfbd3870b374f338ad4269cfe427109 -#: f720caf1727e49e49f716576821d17e2 +#: ../../source/API/pygrt/utils.rst 130dfba759a242048b92911da0f5ac72 +#: 235d06b35e744a019d1d9cb3da596822 37902489063f4554b8c0aa8b897daa42 +#: 8a5275ea97624a8784edfb13d570a6b8 924070289a8a4d9c92141de48e01da3d +#: a7b5275265424e54848c13bdb2efb6ad b99b1d94c94a404a8f2372e2b31bedc8 +#: ca5878ab51d846bda73d9ee625157133 ce3de2785e1442419aac296171a038ac +#: d8adfd894baf48b1b52328f9251c72bc da289be8000148bbad569791f0d1db2f +#: e6e296427e10432394882080eb719539 e6faa5cf5a234df6be36c18670fd224c +#: f12bdf6c9c5c45eaafcd35cd56efbbfb f61160af862c40c5a2410b538e8f306b +#: ffb1dd2846f64c13bfe39596aac3c81f msgid "参数" msgstr "" -#: 1e03bd26ec6a408f828e1e2ad0859b3f 383ffdb3216c4cfb9e4b4ff48ae76963 -#: 3d7563e02f134c1cb093556626977ee0 66d2101dbdff45b5ab698b323fd07d6a of +#: 04e35c918710487a89b6ef78ee971a75 5810e6004f8a445896048e3608897785 +#: adbc22ea9fb04f0c973b34b316b047c1 bfa634290e424d4492e470fe39dfcd5a of #: pygrt.utils.gen_syn_from_gf_DC:3 pygrt.utils.gen_syn_from_gf_EXP:3 #: pygrt.utils.gen_syn_from_gf_MT:3 pygrt.utils.gen_syn_from_gf_SF:3 msgid "计算好的时域格林函数, :class:`obspy.Stream` 类型，或者静态格林函数（字典类型）" msgstr "" -#: 9284abebcebb4848a4c4d7b162297482 9651670eaba4413a8c724d7a4228859e of +#: 9831d0377ce24ee88a7540df27980866 de51e577d60349819e3f4a4e33153a1c of #: pygrt.utils.gen_syn_from_gf_DC:4 pygrt.utils.gen_syn_from_gf_EXP:4 msgid "标量地震矩, 单位dyne*cm" msgstr "" -#: b50ae4cd4e66457a915f6a739e526fa8 of pygrt.utils.gen_syn_from_gf_DC:5 +#: e2ac648a9a13480b894d4342ed244e4e of pygrt.utils.gen_syn_from_gf_DC:5 msgid "走向，以北顺时针为正，0<=strike<=360" msgstr "" -#: 4e0aca37dc6e4789bddc3a4379183b19 of pygrt.utils.gen_syn_from_gf_DC:6 +#: 50e479a7c63f4d7882e80e1f3bfba399 of pygrt.utils.gen_syn_from_gf_DC:6 msgid "倾角，以水平面往下为正，0<=dip<=90" msgstr "" -#: 7175185dfdfb41978babb4c22b6e1c7c of pygrt.utils.gen_syn_from_gf_DC:7 +#: ee3b70751e0143a19fbbd2692965d144 of pygrt.utils.gen_syn_from_gf_DC:7 msgid "滑动角，在断层面相对于走向方向逆时针为正，-180<=rake<=180" msgstr "" -#: cde0b01d596c4d4a8038303dfe3101c3 of pygrt.utils.gen_syn_from_gf_DC:8 +#: d63052efb0bb4b26939e6246224aa115 of pygrt.utils.gen_syn_from_gf_DC:8 msgid "台站方位角，以北顺时针为正，0<=az<=360（静态情况不需要）" msgstr "" -#: 0d14c5c3bd594e12a6546ab9e293d795 18c76e9e36884fd29e5cd08597d12312 -#: cc615e0e10cc4cf5b6ae0684cad4cc62 e2c4ce5152204ed680b3a92a8d11d23b of +#: 0331d96cfb33444196cba56811c4a720 1d50334dccb542b2abce8fc25d229e35 +#: a2a3a7b4094e4413b0dbb944ce852391 d78b386176cd46f785f91b36b3e6a49b of #: pygrt.utils.gen_syn_from_gf_DC:9 pygrt.utils.gen_syn_from_gf_EXP:6 #: pygrt.utils.gen_syn_from_gf_MT:7 pygrt.utils.gen_syn_from_gf_SF:9 msgid "是否以ZNE分量输出?" msgstr "" -#: 5b68fe54847a4fd2abd9c3102a9cc854 688357cf70dc47b3b859dbf8890ff8df -#: adefbc2650c840f086e744a78d7a3b64 d87cd35d14324129a378ca0da4f9d594 of +#: 238b4e1f9510427a95835a26742525d3 2465d75c090944e98f18864172c1fbb5 +#: 2b46bed5f30f4a469c36478f5a852d8b 86e1833278854939a3dc047bb1abe201 of #: pygrt.utils.gen_syn_from_gf_DC:10 pygrt.utils.gen_syn_from_gf_EXP:7 #: pygrt.utils.gen_syn_from_gf_MT:8 pygrt.utils.gen_syn_from_gf_SF:10 msgid "是否计算位移u的空间导数" msgstr "" -#: ../../source/API/pygrt/utils.rst 06097bc0a414402480db625cb1e7f495 -#: 12f1f1ef3e994859b9d7dae619e2bd1d 315651afb92d4306b032e7906c820eab -#: 31e4e4196c6040dcb863b58690fb641f 3f38df175b6d4b6aa7418b240facd872 -#: 46d925e554494776afcb8963ce87d686 47b29b3124d545bca841afa47558c11d -#: 499f6ee5a75948c88b12d9a022d3c6b9 5463b0d089f74a73b4f987be6fbe327b -#: 5607837b24fe423c972cb6e81276bf6f 63376cc70db64ebd9303fc50748d2ca2 -#: 8da8fb64f68e435ebaf2c92fce7223a7 cf036ad751f546f2bc3f33c186acefcc -#: e04186a6777d469fbf8ac8cd7af1915e fd0d2a0b836d47e1a4f8c3012dea56d7 +#: ../../source/API/pygrt/utils.rst 07f4c51c1e65475bae7e0ff456edb4d8 +#: 6c6de927e67849d9a1fdcfbd81fce07f 6d1546f968fa41639afa6aa1d272becb +#: 6f7433213a224693b6f395ccac074b53 703a125055d7477291b13306b85b8e21 +#: 80ea0e9b43a241aeaabdc1d1efbfe05e 8ecc84cc59a0473f9e220db8adc4def7 +#: 9ee5c09b8ec840e09e95408a34c71b5c a2d300a4681c4d6682e0d6633a131652 +#: ad5be957f0804097981ee71707a967a4 b2c8bce6ce1a4edd8e0ff3fef29755ac +#: b56b0b9ef4094215b86a839067f9e376 c1b3728e698c4470843428f82227d68d +#: ca32944b23d94e30866d80adff3f8a7f d045eedd8c5242fdbc012a3990387b40 msgid "返回" msgstr "" -#: 42b1552666ed4a5f9594bc5a22ee96b9 of pygrt.utils.gen_syn_from_gf_DC:12 +#: 3787663dd868481bac8de31cd6b88d85 of pygrt.utils.gen_syn_from_gf_DC:12 msgid "- **stream** - 三分量地震图, :class:`obspy.Stream` 类型" msgstr "" -#: 337e88f478be436aa7a354e48a9ecfb3 of pygrt.utils.gen_syn_from_gf_DC:13 +#: a668a533128d437897a9cf9e328d7e88 of pygrt.utils.gen_syn_from_gf_DC:13 msgid "**stream** - 三分量地震图, :class:`obspy.Stream` 类型" msgstr "" -#: 49c57e2d576c4b7a8d144986de3413a6 of pygrt.utils.gen_syn_from_gf_SF:1 +#: 53a2951e955a43ce906aea1d1e155d10 of pygrt.utils.gen_syn_from_gf_SF:1 msgid "单力源，力分量单位均为dyne" msgstr "" -#: 325046b21a604d7fb884080e6e851c07 of pygrt.utils.gen_syn_from_gf_SF:4 +#: 55a7c70c56bb4e5abeb8b43faafabfad of pygrt.utils.gen_syn_from_gf_SF:4 msgid "力的放大系数" msgstr "" -#: 5f2e728b266c4f65aeed3aa73ae62dcf of pygrt.utils.gen_syn_from_gf_SF:5 +#: 0ee8b9463c3a4303a712eea5ae2104d0 of pygrt.utils.gen_syn_from_gf_SF:5 msgid "北向力，向北为正" msgstr "" -#: 7acf1421c23e473bb2b6d0eef58d3dda of pygrt.utils.gen_syn_from_gf_SF:6 +#: e6704b70e5224f2694a9b341e9f6d119 of pygrt.utils.gen_syn_from_gf_SF:6 msgid "东向力，向东为正" msgstr "" -#: 29a97bc18aea4e66ac8afb3d1184ef51 of pygrt.utils.gen_syn_from_gf_SF:7 +#: a585ba05a652433ca426ce82171fb252 of pygrt.utils.gen_syn_from_gf_SF:7 msgid "垂向力，向下为正" msgstr "" -#: a5fe5cc4ef334b8a96b1d26572411169 dfafde8bbe954a55b5c4e2143d13d0ed of +#: 3ec53eee35b64dfb863c9ff5325049af f603fad51e9e4e6c832da3190921ee28 of #: pygrt.utils.gen_syn_from_gf_MT:6 pygrt.utils.gen_syn_from_gf_SF:8 msgid "台站方位角，以北顺时针为正，0<=az<=360 （静态情况不需要）" msgstr "" -#: 4ba0080e2c6e482e8013beb12e5cf114 of pygrt.utils.gen_syn_from_gf_SF:12 +#: c1735a008e5e46618527c26a49551ee7 of pygrt.utils.gen_syn_from_gf_SF:12 msgid "- **stream** - 三分量地震图, :class:`obspy.Stream` 类型" msgstr "" -#: 12a80356482d4b4f9c4e77e678114dc1 of pygrt.utils.gen_syn_from_gf_SF:13 +#: 7a312de71a1a40d3bb7fe12c386d0ffa of pygrt.utils.gen_syn_from_gf_SF:13 msgid "**stream** - 三分量地震图, :class:`obspy.Stream` 类型" msgstr "" -#: e6f5d73d338b4a189fab20a6286b7f2a of pygrt.utils.gen_syn_from_gf_EXP:1 +#: 86530da246a745c6a925f233f5cf0035 of pygrt.utils.gen_syn_from_gf_EXP:1 msgid "爆炸源" msgstr "" -#: a6d10ef1b072491e904f11750bb38413 of pygrt.utils.gen_syn_from_gf_EXP:5 +#: 81a0e16872c04b1eb8300e1e6a7abe73 of pygrt.utils.gen_syn_from_gf_EXP:5 msgid "台站方位角，以北顺时针为正，0<=az<=360 [不用于计算] （静态情况不需要）" msgstr "" -#: c2cfb08703b94a7684e9ac2133d28452 ea8f3f54f3724b289910292d8d212f52 of +#: 346ac3233e26410aa705b6781debf751 43722c31cd6c4b0f940e3ee72b96a5dd of #: pygrt.utils.gen_syn_from_gf_EXP:9 pygrt.utils.gen_syn_from_gf_MT:10 msgid "- **stream** - 三分量地震图, :class:`obspy.Stream` 类型" msgstr "" -#: 91c0576a99a64ba3a2f4e48b8ef16bd8 f32f6f8ed9c94c66971b9e83da62e3e9 of +#: 94f14593212245578766f2755024d3c4 9e4aeb68ff444335b5d120881f3fdaf6 of #: pygrt.utils.gen_syn_from_gf_EXP:10 pygrt.utils.gen_syn_from_gf_MT:11 msgid "**stream** - 三分量地震图, :class:`obspy.Stream` 类型" msgstr "" -#: 04bd2d2ea27d4b0b8a2388815d1d5203 of pygrt.utils.gen_syn_from_gf_MT:1 +#: e56995b67bb3493c98ffc46004f98e0e of pygrt.utils.gen_syn_from_gf_MT:1 msgid "矩张量源，单位为dyne*cm" msgstr "" -#: 793b8f5b164a4402a32f2d24e6dfa740 of pygrt.utils.gen_syn_from_gf_MT:4 +#: 792e44320526438fb858e6eda37dd9d8 of pygrt.utils.gen_syn_from_gf_MT:4 msgid "标量地震矩" msgstr "" -#: 09e58cc890434bc2952144c07cbc1ae5 of pygrt.utils.gen_syn_from_gf_MT:5 +#: 71935962329d4727a20e0f5a00a20add of pygrt.utils.gen_syn_from_gf_MT:5 msgid "矩张量 (M11, M12, M13, M22, M23, M33),下标1,2,3分别代表北向，东向，垂直向下" msgstr "" -#: 9960833758e945aa8ccf728930d550b4 of pygrt.utils.compute_strain:1 +#: 3c63f5db0756412594d115ab0c37921c of pygrt.utils.compute_strain:1 msgid "Compute dynamic/static strain tensor from synthetic spatial derivatives." msgstr "" -#: 2a14f177563f44a7a5b62a9115a50cb6 30e57278c5fb4e9a9112f178a187c6c5 -#: 70636fdd1d86440db7ea030486baff2d of pygrt.utils.compute_rotation:3 +#: 350c7482974a46d5b4de0aacb5b53b43 c4663baf3b50420abdc61374f86ad56c +#: f1ded1ace57c487c8ae05719b6a74da1 of pygrt.utils.compute_rotation:3 #: pygrt.utils.compute_strain:3 pygrt.utils.compute_stress:3 msgid "" "synthetic spatial derivatives :class:`obspy.Stream` class for dynamic " "case, dict class for static case." msgstr "" -#: d45a5ddf91f34bdb9940887d19bc62be of pygrt.utils.compute_strain:6 +#: 811a7ea5eb734d3198eee66b76cece2e of pygrt.utils.compute_strain:6 msgid "" "- **stres** - dynamic/static strain tensor, in :class:`obspy.Stream` " "class or dict class." msgstr "" -#: b812447c52ec4ca4bc321ea2aae95f03 of pygrt.utils.compute_strain:7 +#: 43adb80ee0324bce8a17081d73d32575 of pygrt.utils.compute_strain:7 msgid "" "**stres** - dynamic/static strain tensor, in :class:`obspy.Stream` class" " or dict class." msgstr "" -#: c337327f034f4218a695514af9b787e3 of pygrt.utils.compute_rotation:1 +#: f873a32ccc8d46089c1162bdff6ef07d of pygrt.utils.compute_rotation:1 msgid "Compute dynamic/static rotation tensor from synthetic spatial derivatives." msgstr "" -#: 6664cf7dd2d0473ca583adb0e29d8604 of pygrt.utils.compute_rotation:6 +#: d3fa58abd1864be9941682d2fb5fb670 of pygrt.utils.compute_rotation:6 msgid "" "- **stres** - dynamic/static rotation tensor, in :class:`obspy.Stream` " "class or dict class." msgstr "" -#: 67e389b374654275b74b584810604c4f of pygrt.utils.compute_rotation:7 +#: 4d7f4168fa104561ace965966711ce61 of pygrt.utils.compute_rotation:7 msgid "" "**stres** - dynamic/static rotation tensor, in :class:`obspy.Stream` " "class or dict class." msgstr "" -#: 2e4458882e86417380723f56eafe6b3f of pygrt.utils.compute_stress:1 +#: a716cf4cbf6545d485d3c9d940ceb3e8 of pygrt.utils.compute_stress:1 msgid "Compute dynamic/static stress tensor from synthetic spatial derivatives." msgstr "" -#: 89a544c4faa34ca8be44e480f9139307 of pygrt.utils.compute_stress:6 +#: 147453ad90a7448e97f168f7680e4478 of pygrt.utils.compute_stress:6 msgid "" "- **stres** - dynamic/static stress tensor (unit: dyne/cm^2 = 0.1 Pa), " "in :class:`obspy.Stream` class or dict class." msgstr "" -#: f8c4f19fe6e24eb3a16ff9e4d65a2e8d of pygrt.utils.compute_stress:7 +#: a9209b291fc248a7bc8f97ffcaca9fd0 of pygrt.utils.compute_stress:7 msgid "" "**stres** - dynamic/static stress tensor (unit: dyne/cm^2 = 0.1 Pa), in " ":class:`obspy.Stream` class or dict class." msgstr "" -#: 51bb8d0d2e594a99b6512cd035cfd188 of pygrt.utils.stream_convolve:1 +#: b85765de572b4864aed1f1065ff11f40 of pygrt.utils.stream_convolve:1 msgid "对stream中每一道信号做线性卷积" msgstr "" -#: 07d481e8d2c54955ada6f4e52a0becff 4191dbc398be419fa7933af9bd7046b7 -#: 56ff2fc90ce746b8ac885c781196ed38 9f1426ba0c544e34a3c81e97a2fed8c9 of +#: 76c50a6e9574470db5076b2e348be384 a0d725be30464de1aa8fe63d31dcffde +#: bc03c548c0644263b5c3605b6c4487e2 eb4252d74db4443da888f9b27536be1a of #: pygrt.utils.stream_convolve:3 pygrt.utils.stream_diff:3 #: pygrt.utils.stream_integral:3 pygrt.utils.stream_write_sac:3 msgid "记录多个Trace的 :class:`obspy.Stream` 类型" msgstr "" -#: dd8dd70b78c44013888ccbb504c6ef68 of pygrt.utils.stream_convolve:4 +#: ed86a638405d48fba601a2a176d7220c of pygrt.utils.stream_convolve:4 msgid "卷积信号" msgstr "" -#: 26a7e29cab5341b0807d68d5c7358511 4a9bc42e5915427aa27731fc8a3d3e56 -#: 8a999e36fcc44ea394271fd1eba5ec24 of pygrt.utils.stream_convolve:5 +#: 320b05c954d84e83888942f2d318dfa6 35607b18659a45fd9907fec99c1984e6 +#: d2fb2c7a7d99491b86054381b0d40876 of pygrt.utils.stream_convolve:5 #: pygrt.utils.stream_diff:4 pygrt.utils.stream_integral:4 msgid "是否做原地更改" msgstr "" -#: 458014b59a7149f1ae5927340967fef2 855f777a1a2e4ffe828630cc9021cdc9 -#: ce6e1a759c874ba0b56da0ba6dffdf59 of pygrt.utils.stream_convolve:7 +#: 6872304a1c9547ceb9ca215b57d1c4e8 9106afe9afca4c738c4ebc2ad56990b0 +#: 9a1d4120dce24f71b15023773aa2dbbc of pygrt.utils.stream_convolve:7 #: pygrt.utils.stream_diff:6 pygrt.utils.stream_integral:6 msgid "- **stream** - 处理后的结果, :class:`obspy.Stream` 类型" msgstr "" -#: 1c4d19ece1d44a69bca156c763231730 27c99f3181684f979d95116d4c5f28f3 -#: d98a50e5ed42414ba5d5de5f030a98b9 of pygrt.utils.stream_convolve:8 +#: 42cd0aca85f346c4b6fd3949743c4081 a2d9ab98dc894bad91b0441b7f2ce32a +#: b8efce350a7349ca8c6d924946215fca of pygrt.utils.stream_convolve:8 #: pygrt.utils.stream_diff:7 pygrt.utils.stream_integral:7 msgid "**stream** - 处理后的结果, :class:`obspy.Stream` 类型" msgstr "" -#: 8f902aac6777450a9668d59f546f0bc1 of pygrt.utils.stream_integral:1 +#: e0dc97703b024566aa0fdc55799a59f0 of pygrt.utils.stream_integral:1 msgid "对stream中每一道信号做梯形积分" msgstr "" -#: 767b2b97b77944e484ab0d5e52158f9c of pygrt.utils.stream_diff:1 +#: 66dc60f2d30e477f8e1c9d883cf7b78d of pygrt.utils.stream_diff:1 msgid "对stream中每一道信号做中心差分" msgstr "" -#: d40974787afe4a53a9c15d416827d8bd of pygrt.utils.stream_write_sac:1 +#: fd786a4d502a4e45a308475d8c48a273 of pygrt.utils.stream_write_sac:1 msgid "将一系列Trace以SAC形式保存到本地，以发震时刻作为参考0时刻" msgstr "" -#: 0d29897c87c444b094dd0f9b192d3a6f of pygrt.utils.stream_write_sac:4 +#: 6041fe6868aa4161b766533eb2914bb7 of pygrt.utils.stream_write_sac:4 msgid "" "保存文件名，不要加后缀， 例如path=\"GRN/out\"表明sac文件将保存在GRN文件中， 文件名分别为outR.sac, " "outT.sac, outZ.sac， 若通道名前缀有\"r\",\"z\"或\"t\"（表示位移空间导数），则该前缀 " "也会加到SAC文件名中，例如GRN/routR.sac" msgstr "" -#: e19977c688894641819b1d37199ef152 of pygrt.utils.read_kernels_freqs:1 +#: 9b45759a1e7f4ab187eddb6e74e6c3cb of pygrt.utils.read_kernels_freqs:1 msgid "读取statsdir目录下所有频率（除了零频）的积分过程文件（K_开头），再将核函数线性插值到指定的速度数组vels" msgstr "" -#: e341db31cf1a4dffbfb6bdfaaf39bfdb of pygrt.utils.read_kernels_freqs:3 +#: e8538b307b0645a186a98587ef4a419f of pygrt.utils.read_kernels_freqs:3 msgid "存储积分过程文件的目录" msgstr "" -#: 6624466241634ef3a733d63f96d76d23 of pygrt.utils.read_kernels_freqs:4 +#: 1daa9dc1b9e04435a10fde35cd45e1c5 of pygrt.utils.read_kernels_freqs:4 msgid "待插值的速度数组(km/s)，必须正序" msgstr "" -#: 0532ffc3cf74436e8ccfca7d62a69c8f of pygrt.utils.read_kernels_freqs:5 +#: a9b07d9aad464058b95c4b8ad08095cc of pygrt.utils.read_kernels_freqs:5 msgid "指定返回一系列的核函数名称，如EXP_q0，DC_w2等，默认返回全部" msgstr "" -#: 035be2484bb249268e2e18213d2518ac of pygrt.utils.read_kernels_freqs:7 +#: d3baac93a06043fa8bde825b66a28a2d of pygrt.utils.read_kernels_freqs:7 msgid "- **kerDct** - 字典格式的核函数插值结果" msgstr "" -#: 1ef4a00db4574f058d2433a412c9660c of pygrt.utils.read_kernels_freqs:8 +#: df74305a1c814bb7b3428d8b365eb1bb of pygrt.utils.read_kernels_freqs:8 msgid "**kerDct** - 字典格式的核函数插值结果" msgstr "" -#: eaf7ff1f530c497c95e7b335d2d43463 of pygrt.utils.read_statsfile:1 +#: 5c2d9ea92fac4066a46a20c914ac92ab of pygrt.utils.read_statsfile:1 msgid "读取单个频率下波数积分(或Filon积分)的记录文件" msgstr "" -#: 1f389f5702ef46b0b792c5e605246f4d of pygrt.utils.read_statsfile:3 +#: 126a0d69f07449f2a4c2d67bd8dd229c of pygrt.utils.read_statsfile:3 msgid "文件路径(可使用通配符简化输入)" msgstr "" -#: b5bcc5ce20cb4973a9e0ddc4f281b5e2 of pygrt.utils.read_statsfile:5 +#: c5b279662f454133a4be4f4c1eb45347 of pygrt.utils.read_statsfile:5 msgid "" "- **data** - `numpy.ndarray " "`_ " "自定义类型数组" msgstr "" -#: ec086405115a40ffb194d48417183c9a of pygrt.utils.read_statsfile:6 +#: 71100763e1414917ae9e8518ab74bd6b of pygrt.utils.read_statsfile:6 msgid "" "**data** - `numpy.ndarray " "`_ " "自定义类型数组" msgstr "" -#: 95cb3754476c40d0899e7f272f520645 of pygrt.utils.read_statsfile_ptam:1 +#: bc724e8c92d041bea0ea682ec81c4f80 of pygrt.utils.read_statsfile_ptam:1 msgid "读取单个频率下峰谷平均法的记录文件" msgstr "" -#: b34187cb1327485b91cd522cdfb532ed of pygrt.utils.read_statsfile_ptam:3 +#: 0f4bf32518184b078de526429ab5cdc6 of pygrt.utils.read_statsfile_ptam:3 msgid "PTAM文件路径(可使用通配符简化输入)" msgstr "" -#: 706f6313e0bc4bbc9c841c602e701629 of pygrt.utils.read_statsfile_ptam:5 +#: ac444538b4d24a1fa7021ed39f6e8f23 of pygrt.utils.read_statsfile_ptam:5 msgid "" "- **data1** - `numpy.ndarray " "`_ " @@ -380,113 +380,120 @@ msgid "" "自定义类型数组，PTAM的峰谷位置及幅值 - **dist** - 文件对应的震中距(km)" msgstr "" -#: 7bd123f1b30e4638a37233fbbc9094ba of pygrt.utils.read_statsfile_ptam:6 +#: 3953d4787e8d4c06867d2e190f67b4a5 of pygrt.utils.read_statsfile_ptam:6 msgid "" "**data1** - `numpy.ndarray " "`_ " "自定义类型数组，DWM或FIM过程中的积分过程数据" msgstr "" -#: 20ecc19e66f04cbe8137a0caa35f3703 of pygrt.utils.read_statsfile_ptam:7 +#: 9e4809344337451981a2f2f5ba6357a0 of pygrt.utils.read_statsfile_ptam:7 msgid "" "**data2** - `numpy.ndarray " "`_ " "自定义类型数组，PTAM过程中的积分过程数据" msgstr "" -#: 7588c38a4a314f81bd78696f8e6fe7f0 of pygrt.utils.read_statsfile_ptam:8 +#: a17f9ada0f104cbc914c7b0569327072 of pygrt.utils.read_statsfile_ptam:8 msgid "" "**ptam_data** - `numpy.ndarray " "`_ " "自定义类型数组，PTAM的峰谷位置及幅值" msgstr "" -#: 43a43060a1af4a168f4989f25013be75 of pygrt.utils.read_statsfile_ptam:9 +#: 6cb99861aff64d70804920b1749d6107 of pygrt.utils.read_statsfile_ptam:9 msgid "**dist** - 文件对应的震中距(km)" msgstr "" -#: 7cac17a44fe040e0ac534208a4b1a0f6 of pygrt.utils.plot_statsdata:1 +#: 862bad65279d4d0995eaa80d917a9dea of pygrt.utils.plot_statsdata:1 msgid "" "根据 :func:`read_statsfile ` 函数函数读取的数据， 绘制核函数 " ":math:`F(k,\\omega)`、被积函数 :math:`F(k,\\omega)J_m(kr)k`，以及简单计算累积积分 " ":math:`\\sum F(k,\\omega)J_m(kr)k` 并绘制。" msgstr "" -#: 43ef615ed78e4465bfeee459b4bd32f8 b56f2815df8d49219aa99520191763da of +#: be5c145f722347dbbd60a7f92ef4f23e d7e4d8eaf58b499da40e693abd5d801f of #: pygrt.utils.plot_statsdata:4 pygrt.utils.plot_statsdata_ptam:4 msgid "并不是每个震源类型对应的每一阶每种积分类型都存在，详见 :ref:`grn_types`。" msgstr "" -#: f75ea6a855c8475c9e51d77c9f37d2b1 of pygrt.utils.plot_statsdata:6 +#: 112d5a31bcf14f48adcc5340d6fe6437 of pygrt.utils.plot_statsdata:6 msgid ":func:`read_statsfile ` 函数返回值" msgstr "" -#: 3c864f7801bc4430a568debaaa233b14 of pygrt.utils.plot_statsdata:7 +#: b693f21a0a1f4e95b484991340a2b18d of pygrt.utils.plot_statsdata:7 msgid "震中距(km)" msgstr "" -#: 92c517b63c5e4070a6010c0cb3414cad a05070c1b30e4f4b8ed1a4a910cf8574 of +#: 3c29d7b233af4bd1b50daaf5b0218e84 ef5fc11dca98418a87a7183c26a0bc05 of #: pygrt.utils.plot_statsdata:8 pygrt.utils.plot_statsdata_ptam:9 msgid "震源类型的缩写，包括EXP、VF、HF、DC" msgstr "" -#: b10a7f8c7fca4d478af59266058b56d8 c4bd53e95c4542cc896394d35617b531 of +#: 45fd38fa64c74ee48f2c4d39f86eb59f d3cd8000875546acbdeca3a22494a071 of #: pygrt.utils.plot_statsdata:9 pygrt.utils.plot_statsdata_ptam:10 msgid "阶数(0,1,2)，不完全对应公式中Bessel函数的阶数，因为存在Bessel函数的导数，需要使用递推公式" msgstr "" -#: 65f7fe758b884edea8a2e582e0715232 6750966f9a9d4e87a512b495c8a45be6 of +#: 77525acd634f4936996bb20f640d914a 919603b9963e48de9c01594809a14b1e of #: pygrt.utils.plot_statsdata:10 pygrt.utils.plot_statsdata_ptam:11 msgid "积分类型(0,1,2,3)" msgstr "" -#: 94f45197e1324610b06cab0071fd0238 e4fed7038f654822beb257f34d1cad72 of +#: 9172e6803b73465795e087a2ec0f3911 d4ffe2779bce42dd8a502c8aa36f7944 of #: pygrt.utils.plot_statsdata:11 pygrt.utils.plot_statsdata_ptam:12 msgid "绘制实部还是虚部，默认实部，传入2表示实部虚部都绘制" msgstr "" -#: 2668c5033ee04dbdbed45f2341f65aff 6441142ebc3c46a6831f320bc9471fda of +#: 8fbc9924cad1471ea4e57a877e018b89 cd60dbe44ebc41b2801598e1cf855c28 of #: pygrt.utils.plot_statsdata:12 pygrt.utils.plot_statsdata_ptam:13 msgid "传入自定义的matplotlib.Figure对象，默认为None" msgstr "" -#: c9e483c21dad4545a6991ade86d18039 e71916c227cc430c98289409e5f5b4f7 of +#: 6d61c391c9674cf18521628c1bb0b26b dbd55da8ea1f43c4b21027d5eb9edb32 of #: pygrt.utils.plot_statsdata:13 pygrt.utils.plot_statsdata_ptam:14 msgid "传入自定义的matplotlib.Axes对象数组（三个），默认为None" msgstr "" -#: 46a20b2a72f445c88509e46273f6a0ef 8fb10a1e668e42888c9d521626d8b6ac of +#: 13259fac833a4fcda4e2d52a4f9bf215 1667c1d4841a40738cbf1b0a57638642 of #: pygrt.utils.plot_statsdata:15 pygrt.utils.plot_statsdata_ptam:16 msgid "" "- **fig** - matplotlib.Figure对象 - " "**(ax1,ax2,ax3)** - matplotlib.Axes对象数组" msgstr "" -#: 3c9b6030830c4aeda05b8d35f9ef93d9 adaeef4648264fff9c3a17af2472d4ae of +#: 123922c58cde48329e18a53999b5471c b36871dc55044263818de9de196cb8e6 of #: pygrt.utils.plot_statsdata:16 pygrt.utils.plot_statsdata_ptam:17 msgid "**fig** - matplotlib.Figure对象" msgstr "" -#: 521b6c6bf74d4e1d82bbac9758b59629 e4a9ed0406fa45038158b305fb096a6f of +#: 09790fa351aa42d3ae1823fabf0fb16d e5ce3621d25041918524b47071bb42a4 of #: pygrt.utils.plot_statsdata:17 pygrt.utils.plot_statsdata_ptam:18 msgid "**(ax1,ax2,ax3)** - matplotlib.Axes对象数组" msgstr "" -#: 44ccab427a7c4d67bc3c30b34580f1e7 of pygrt.utils.plot_statsdata_ptam:1 +#: 521bd32e7dab4e0fa476befd41ebea67 of pygrt.utils.plot_statsdata_ptam:1 msgid "" "根据 :func:`read_statsfile_ptam ` 函数读取的数据，" " 简单计算并绘制累积积分以及峰谷平均法使用的波峰波谷的位置。" msgstr "" -#: 1fdcc3f6b07e406186db0be56eb7989a of pygrt.utils.plot_statsdata_ptam:6 +#: d42eefababa146fca20898bfcbfa412f of pygrt.utils.plot_statsdata_ptam:6 msgid "DWM或FIM过程中的积分过程数据" msgstr "" -#: 873251e144a94b16bda4d2804e406e74 of pygrt.utils.plot_statsdata_ptam:7 +#: c6ff97a76e8f4a6591437bac8e795207 of pygrt.utils.plot_statsdata_ptam:7 msgid "PTAM过程中的积分过程数据" msgstr "" -#: f957fb2cca1f424e83f281c2afad4eed of pygrt.utils.plot_statsdata_ptam:8 +#: 5b761f43302041d2936f23f04813dd57 of pygrt.utils.plot_statsdata_ptam:8 msgid "PTAM的峰谷位置及幅值" msgstr "" +#~ msgid "" +#~ "根据 :func:`read_statsfile ` " +#~ "函数函数读取的数据， 绘制核函数 :math:`F_m(k,\\omega)`、被积函数 " +#~ ":math:`F_m(k,\\omega)J_m(kr)k`，以及简单计算累积积分 :math:`\\sum " +#~ "F_m(k,\\omega)J_m(kr)k` 并绘制。" +#~ msgstr "" + diff --git a/docs/locales/en/LC_MESSAGES/Advanced/filon_linear.po b/docs/locales/en/LC_MESSAGES/Advanced/filon_linear.po new file mode 100644 index 00000000..eb385da0 --- /dev/null +++ b/docs/locales/en/LC_MESSAGES/Advanced/filon_linear.po @@ -0,0 +1,187 @@ +# SOME DESCRIPTIVE TITLE. +# Copyright (C) 2025, Zhu Dengda +# This file is distributed under the same license as the PyGRT package. +# FIRST AUTHOR , 2025. +# +#, fuzzy +msgid "" +msgstr "" +"Project-Id-Version: PyGRT 0.6.1.dev17+g4521452.d20250424\n" +"Report-Msgid-Bugs-To: \n" +"POT-Creation-Date: 2025-04-24 18:17+0800\n" +"PO-Revision-Date: YEAR-MO-DA HO:MI+ZONE\n" +"Last-Translator: FULL NAME \n" +"Language: en\n" +"Language-Team: en \n" +"Plural-Forms: nplurals=2; plural=(n != 1);\n" +"MIME-Version: 1.0\n" +"Content-Type: text/plain; charset=utf-8\n" +"Content-Transfer-Encoding: 8bit\n" +"Generated-By: Babel 2.16.0\n" + +#: ../../source/Advanced/filon_linear.rst:2 8d6246fc47cf412a895160abe9aadf32 +msgid "Filon积分法" +msgstr "Filon's Integration Method" + +#: ../../source/Advanced/filon_linear.rst 4bbb4bf9ad084a93ae45b593136b355f +msgid "Author" +msgstr "" + +#: ../../source/Advanced/filon_linear.rst:4 ec9d87b6890f4943a41a4f2f6e09f5fc +msgid "Zhu Dengda" +msgstr "" + +#: ../../source/Advanced/filon_linear.rst c5d0558aaa4b4bfa8e424d8abe1682ed +msgid "Email" +msgstr "" + +#: ../../source/Advanced/filon_linear.rst:5 d323f38759e24ccc9550f8d65bc14d1b +msgid "zhudengda@mail.iggcas.ac.cn" +msgstr "" + +#: ../../source/Advanced/filon_linear.rst:11 e2009788c8944845a18f4712a18e272d +msgid "" +"谨慎使用固定间隔的Filon积分法，除非你很清楚原理以及误差来源。后期会考虑加入 **自适应Filon积分法** :ref:`(张海明, 2021) " +"` 以减少固定积分间隔的影响。" +msgstr "" +"Use the fixed-interval Filon integration method with caution unless you fully understand its principles and sources of error. " +"In the future, **Self-Adaptive Filon's Integration Method** :ref:`(Zhang Haiming, 2021) ` " +"may be considered to mitigate the impact of fixed integration intervals." + +#: ../../source/Advanced/filon_linear.rst:14 6eb088fc43f04478a91373cb2fb527f5 +msgid "" +"以下介绍程序中使用的 **基于两点线性插值的Filon积分** :ref:`(纪晨, 姚振兴, 1995) ` " +":ref:`(初稿) ` ，主要介绍思路，具体公式推导详见对应论文。" +msgstr "" +"The following introduces the **Filon's Integration based on two-point linear interpolation** " +":ref:`(Ji Chen, Yao Zhenxing, 1995) ` :ref:`(初稿) ` " +"used in the program, mainly explaining the idea. For detailed formula derivations, refer to the corresponding paper." + +#: ../../source/Advanced/filon_linear.rst:16 01d56ee3f5e3407a9bc0a519df5271b2 +msgid "对于以下积分，" +msgstr "For the following integral," + +#: ../../source/Advanced/filon_linear.rst:18 28eb781747fd4a70b9f1fac3fbc2fd7b +msgid "P_m(\\omega,r) = \\int_0^{k_{\\text{max}}} F_m(k, \\omega)J_m(kr)kdk" +msgstr "" + +#: ../../source/Advanced/filon_linear.rst:22 6e7ad2bd12494b49aef8420293843a24 +msgid "分成两个部分，" +msgstr "It is divided into two parts," + +#: ../../source/Advanced/filon_linear.rst:24 c751a3bbaed64e3caea38bf528cebdd4 +msgid "" +"P_m(\\omega,r) = \\int_0^{k^*} F_m(k, \\omega)J_m(kr)kdk + " +"\\int_{k^*}^{k_{\\text{max}}} F_m(k, \\omega)J_m(kr)kdk" +msgstr "" + +#: ../../source/Advanced/filon_linear.rst:28 97a62e7c22b747fe94de689648d8eea5 +msgid "" +"其中积分第一部分仍然使用离散波数积分求解 （见 :ref:`k_integ_rst` " +"部分），积分第二部分将Bessel函数取渐近表达式，可将其转为以下形式" +msgstr "" +"The first part of the integral still uses discrete wavenumber integration to solve (see :ref:`k_integ_rst` section), " +"and the second part of the integral takes the asymptotic expression of the Bessel function, which can be transformed into the following form." + +#: ../../source/Advanced/filon_linear.rst:30 71452cef25294a0c8e413c4945806945 +msgid "" +"\\begin{align}\n" +"P_m(\\omega,r) &= \\sqrt{\\dfrac{2}{\\pi r}}\n" +"\\bbox[yellow] {\\int_{k^*}^{k_{\\text{max}}} \\bar{F}_m(k, \\omega) " +"\\text{cos} \\left( kr - (2m+1)\\pi/4 \\right) dk } \\\\\n" +"\\bar{F}_m(k, \\omega) &= \\sqrt{k} F_m(k, \\omega)\n" +"\\end{align}" +msgstr "" + +#: ../../source/Advanced/filon_linear.rst:38 cdebd4ae800a454d96cb12051469e7f1 +msgid "" +"其中高亮部分的积分是Filon积分的关键。在每一个区间 :math:`[k_i, k_{i+1}], k_i=(i-1) \\Delta k` " +"内，使用两点线性插值公式，:math:`\\bar{F}` 可表示为" +msgstr "" +"The highlighted part of the integral is the key to Filon's integration. In each interval :math:`[k_i, k_{i+1}], k_i=(i-1) \\Delta k`, " +"using the two-point linear interpolation formula, :math:`\\bar{F}` can be expressed as" + +#: ../../source/Advanced/filon_linear.rst:40 a46cac27c72c4365b58d0dceaf3def59 +msgid "" +"\\bar{F} = \\bar{F}_i + \\dfrac{\\bar{F}_{i+1} - \\bar{F}_i}{\\Delta k} " +"(k - k_i)" +msgstr "" + +#: ../../source/Advanced/filon_linear.rst:44 4996c5f9de9949bcaf0a929f1941416e +msgid "" +"将此式代回积分公式中，可得到 " +"**该区间内的积分解析解**，而最终的解即为多个区间内解析解的和。可进一步推导，将相邻区间的解析解中的部分式子两两相消，得到更简化的整个区间的解析解。由于相比于Bessel函数，" +" :math:`\\bar{F}` 往往变化比较缓慢，故Filon积分可使用相对较大的步长 :math:`\\Delta k` " +"也可以有很好的精度。" +msgstr "" +"Substituting this formula back into the integral formula yields " +"**the analytical solution of the integral within the interval**, and the final solution is the sum of the analytical solutions within multiple intervals. " +"Further derivation can simplify the analytical solution for the entire interval by canceling out parts of the formulas in adjacent intervals. " +"Since :math:`\\bar{F}` often changes more slowly compared to the Bessel function, Filon's integration can achieve good accuracy even with relatively large step sizes :math:`\\Delta k`." + +#: ../../source/Advanced/filon_linear.rst:50 c56e55eda1b44df89be60e118ece0d8f +msgid "从以上推导可看出，该方法的精度取决于以下两个方面：" +msgstr "From the above derivation, it can be seen that the accuracy of this method depends on the following two aspects:" + +#: ../../source/Advanced/filon_linear.rst:52 ac21a2033ce242198b5c60368705fd10 +msgid "**Bessel函数渐近表达式与真实值的误差：** 通过将积分分为两个部分计算，可大幅减少该误差。" +msgstr "**Error between the asymptotic expression of the Bessel function and the true value:** Dividing the integral into two parts can significantly reduce this error." + +#: ../../source/Advanced/filon_linear.rst:54 c31f02fdb01d414e986e050b2f5d7816 +msgid "" +"**区间内核函数线性拟合与真实值的误差：** 该误差受人为设定的Filon积分间隔控制。当 **区间过大** " +"时，线性拟合效果很差，计算结果偏差较大。" +msgstr "" +"**Error between the linear fitting of the kernel function within the interval and the true value:** This error is controlled by the manually set Filon's integration interval. " +"When the **interval is too large**, the linear fitting effect is poor, and the calculation result deviates significantly." + +#: ../../source/Advanced/filon_linear.rst:57 41818569315f47b78336bef70d2624cd +msgid "通过以下可选参数，可使用Filon积分。" +msgstr "Filon's integration can be used through the following optional parameters." + +#: ../../source/Advanced/filon_linear.rst:61 4a786d3828764929b1b374c267d9ad3e +msgid "C" +msgstr "" + +#: ../../source/Advanced/filon_linear.rst:63 dee77885e33245c38d566f571fe86a22 +msgid "" +":command:`grt` 和 :command:`stgrt` 程序支持以下可选参数来使用Filon积分，具体说明详见 " +":command:`grt -h` 或 :command:`stgrt -h`。" +msgstr "" +"The :command:`grt` and :command:`stgrt` programs support the following optional parameters to use Filon's integration. " +"For detailed explanations, see :command:`grt -h` or :command:`stgrt -h`." + +#: ../../source/Advanced/filon_linear.rst:65 2a1aa2be881845f6abbd5bf339403cfe +msgid "``-L[//]``" +msgstr "" + +#: ../../source/Advanced/filon_linear.rst:67 dd40fc0537b740ba9908efb73fbed0c0 +msgid "```` 定义离散波数积分的积分间隔 （见 :ref:`k_integ_rst` 部分）" +msgstr "```` defines the integration interval for discrete wavenumber integration (see :ref:`k_integ_rst` section)." + +#: ../../source/Advanced/filon_linear.rst:68 3f709a78baca4ffbb08dbac8681b8b61 +msgid "```` 定义Filon积分间隔，公式和离散波数积分使用的一致。" +msgstr "```` defines the Filon's integration interval, consistent with the formula used for discrete wavenumber integration." + +#: ../../source/Advanced/filon_linear.rst:69 5a4a70deda4f4bf198ee4501055d9049 +msgid "```` 定义了两个积分的分割点， :math:`k^*=` ```` :math:`/r_{\\text{max}}`" +msgstr "```` defines the division point of the two integrals, :math:`k^*=` ```` :math:`/r_{\\text{max}}`." + +#: ../../source/Advanced/filon_linear.rst:71 7970f3518caa46619b25d9ea0ae51c7e +msgid "Python" +msgstr "" + +#: ../../source/Advanced/filon_linear.rst:73 a0a886c49b3241408071fe745984f923 +msgid "" +":func:`compute_grn() ` 函数和 " +":func:`compute_static_grn() ` " +"函数支持以下可选参数来使用Filon积分，具体说明详见API。" +msgstr "" +"The :func:`compute_grn() ` function and " +":func:`compute_static_grn() ` function " +"support the following optional parameters to use Filon's integration. For detailed explanations, see the API." + +#: ../../source/Advanced/filon_linear.rst:75 b6b49209453a449fb38a5a8ee36b10ca +msgid "``filonLC:List[float]`` 需给定两个量，分别对应C选项卡中的 ```` 参数和 ```` 参数。" +msgstr "``filonLC:List[float]`` requires two values, corresponding to the ```` and ```` parameters in the C tab." + diff --git a/docs/locales/en/LC_MESSAGES/Advanced/integ_converg/integ_converg.po b/docs/locales/en/LC_MESSAGES/Advanced/integ_converg/integ_converg.po index daa8837c..92ecd9eb 100644 --- a/docs/locales/en/LC_MESSAGES/Advanced/integ_converg/integ_converg.po +++ b/docs/locales/en/LC_MESSAGES/Advanced/integ_converg/integ_converg.po @@ -8,7 +8,7 @@ msgid "" msgstr "" "Project-Id-Version: PyGRT 0.6.1.dev1+g4641a40.d20250422\n" "Report-Msgid-Bugs-To: \n" -"POT-Creation-Date: 2025-04-22 21:15+0800\n" +"POT-Creation-Date: 2025-04-24 18:17+0800\n" "PO-Revision-Date: YEAR-MO-DA HO:MI+ZONE\n" "Last-Translator: FULL NAME \n" "Language: en\n" @@ -19,33 +19,33 @@ msgstr "" "Content-Transfer-Encoding: 8bit\n" "Generated-By: Babel 2.16.0\n" -#: ../../source/Tutorial/integ_converg/integ_converg.rst:4 -#: fd9f01d970324524b689e6a87b760452 -msgid "积分收敛性" -msgstr "Convergency of Integral" +#: ../../source/Advanced/integ_converg/integ_converg.rst:4 +#: 66608262db6341ea89878a796cb2a972 +msgid "积分收敛性与峰谷平均法" +msgstr "Convergency of Integral and Peak-Trough Averaging Method" -#: ../../source/Tutorial/integ_converg/integ_converg.rst -#: 8273dbbfde3c4791a04cd95e5a26f17a +#: ../../source/Advanced/integ_converg/integ_converg.rst +#: e40552831abf413d8712ebb5e41b35a9 msgid "Author" msgstr "" -#: ../../source/Tutorial/integ_converg/integ_converg.rst:6 -#: 3b14ac66b4fc44528c2ac2106998a2be +#: ../../source/Advanced/integ_converg/integ_converg.rst:6 +#: ce35f66a47ef4d13b8091562cdc996cc msgid "Zhu Dengda" msgstr "" -#: ../../source/Tutorial/integ_converg/integ_converg.rst -#: ec1888a6600f49c0b1bb0aa44348b0ca +#: ../../source/Advanced/integ_converg/integ_converg.rst +#: 57fdc95f71bb436f9cf551c24402774b msgid "Email" msgstr "" -#: ../../source/Tutorial/integ_converg/integ_converg.rst:7 -#: 3ebb2dec87e040468ce1e08d9db009f9 +#: ../../source/Advanced/integ_converg/integ_converg.rst:7 +#: dae6643c67ef4f11b009f8b070f6d6e9 msgid "zhudengda@mail.iggcas.ac.cn" msgstr "" -#: ../../source/Tutorial/integ_converg/integ_converg.rst:11 -#: ed5cc5a836c7449caf0803481826c90b +#: ../../source/Advanced/integ_converg/integ_converg.rst:11 +#: def273595da2403fb880c24137ac26bf msgid "" "通过输出核函数文件，观察源点和场点深度接近时，积分收敛性的变化，以及峰谷平均法的作用。 **具体积分表达式以及分类详见** " ":ref:`gfunc_rst`。" @@ -55,80 +55,86 @@ msgstr "" "the role of the peak-trough averaging method. **For specific integral " "expressions and types, see** :ref:`gfunc_rst`." -#: ../../source/Tutorial/integ_converg/integ_converg.rst:14 -#: a3db70a667d0406caab36a01473d5072 +#: ../../source/Advanced/integ_converg/integ_converg.rst:14 +#: 01dc414c3b654166ac5dea0c397c78da msgid "核函数文件" msgstr "Kernel function file" -#: ../../source/Tutorial/integ_converg/integ_converg.rst:15 -#: 6e42f101df754a879606c4fcb84d0828 +#: ../../source/Advanced/integ_converg/integ_converg.rst:15 +#: 29549dd647cf4373acdb3b6a1a3e07c4 msgid "该文件记录了波数积分过程中不同波数对应的核函数值。以下用法展示了如何输出该文件。" msgstr "" "This file records the kernel function values corresponding to different " "wavenumbers during the wavenumber integration process. The following " "usage demonstrates how to output this file." -#: ../../source/Tutorial/integ_converg/integ_converg.rst:19 -#: ../../source/Tutorial/integ_converg/integ_converg.rst:42 -#: ../../source/Tutorial/integ_converg/integ_converg.rst:106 -#: ../../source/Tutorial/integ_converg/integ_converg.rst:190 -#: 143b7951a4424777b71584d3d78977c2 50fddd87d79f4badb62bff21838ad495 -#: daa52806030f4f65b5e8bbd99b951df0 db6f427800064de6a39ef52ab7e7cb39 +#: ../../source/Advanced/integ_converg/integ_converg.rst:19 +#: ../../source/Advanced/integ_converg/integ_converg.rst:42 +#: ../../source/Advanced/integ_converg/integ_converg.rst:106 +#: ../../source/Advanced/integ_converg/integ_converg.rst:190 +#: 10a3128472cb45f18d0377c779a4c93f 5671de61dabb4e8783a929780d77b8f1 +#: 77f7e55f93804f95a488e99f2079028e 8bec1a9270a24f7a85bf9f8f331ce02f msgid "C" msgstr "" -#: ../../source/Tutorial/integ_converg/integ_converg.rst:26 -#: 95418d4aa13444e58f8b73de3ae72858 +#: ../../source/Advanced/integ_converg/integ_converg.rst:26 +#: 4dc0c8440c924b4abe9fd50bc540ca00 msgid "输出的核函数文件会在 :rst:dir:`GRN_grtstats/milrow_{depsrc}_{deprcv}/` 路径下。" msgstr "" "The output kernel function files will be under the " ":rst:dir:`GRN_grtstats/milrow_{depsrc}_{deprcv}/` directory." -#: ../../source/Tutorial/integ_converg/integ_converg.rst:28 -#: ../../source/Tutorial/integ_converg/integ_converg.rst:58 -#: ../../source/Tutorial/integ_converg/integ_converg.rst:113 -#: ../../source/Tutorial/integ_converg/integ_converg.rst:197 -#: 429f41c5a7234a5eb2c7c79060edb822 5901ff153f994157ab4e2c09f0b8a77f -#: 8beb563b8cb24ca0919939ff4bb28ebf fc8f0541944a449d9838bccba9197959 +#: ../../source/Advanced/integ_converg/integ_converg.rst:28 +#: ../../source/Advanced/integ_converg/integ_converg.rst:58 +#: ../../source/Advanced/integ_converg/integ_converg.rst:113 +#: ../../source/Advanced/integ_converg/integ_converg.rst:197 +#: 097f5a35e7374798acf2c10af4a4eb85 12add9cbdad74756be2d27b2e79fff21 +#: 65eb6eaf3f7b46fa86d92975943beae1 74bf3a9ee21a4be9b3dd162f397f89b5 msgid "Python" msgstr "" -#: ../../source/Tutorial/integ_converg/integ_converg.rst:35 -#: 0d690cefbd2c4dca99a7148395a0d6b2 +#: ../../source/Advanced/integ_converg/integ_converg.rst:35 +#: a417303ad09742be9b7a35a0adcb9472 msgid "输出的核函数文件会在自定义路径下。" msgstr "The output kernel function files will be in a custom path." -#: ../../source/Tutorial/integ_converg/integ_converg.rst:38 -#: 70b4bad47b8d49208815b5ad8915b86e +#: ../../source/Advanced/integ_converg/integ_converg.rst:38 +#: b46c62c8209042e8b03e84b91286a557 msgid "" "C和Python导出的核函数文件是一致的，底层调用的是相同的函数。文件名称格式为 ``K_{iw}_{freq}``，其中 ``{iw}`` " "表示频率索引值， ``{freq}`` 表示对应频率(Hz)。文件为自定义的二进制文件， " "**强烈建议使用Python进行读取及后续处理**。这里还是给出两种读取方法。" msgstr "" -"The kernel function files exported by C and Python are identical, as they " -"call the same underlying functions. The file naming format is ``K_{iw}_{freq}``, " -"where ``{iw}`` represents the frequency index and ``{freq}`` represents the corresponding " -"frequency (Hz). The files are custom binary files, and **it is strongly recommended to use Python " -"for reading and subsequent processing**. Here, two reading methods are still provided." - -#: ../../source/Tutorial/integ_converg/integ_converg.rst:44 -#: 73da8884767b43f4b096c5699c6ad6e1 +"The kernel function files exported by C and Python are identical, as they" +" call the same underlying functions. The file naming format is " +"``K_{iw}_{freq}``, where ``{iw}`` represents the frequency index and " +"``{freq}`` represents the corresponding frequency (Hz). The files are " +"custom binary files, and **it is strongly recommended to use Python for " +"reading and subsequent processing**. Here, two reading methods are still " +"provided." + +#: ../../source/Advanced/integ_converg/integ_converg.rst:44 +#: 9bcd5c8d284f419fbba0502bf6d46b51 msgid ":command:`grt.k2a` 程序可将单个核函数文件转为文本格式。" -msgstr "The :command:`grt.k2a` program can convert a single kernel function file into text format." +msgstr "" +"The :command:`grt.k2a` program can convert a single kernel function file " +"into text format." -#: ../../source/Tutorial/integ_converg/integ_converg.rst:51 -#: ../../source/Tutorial/integ_converg/integ_converg.rst:155 -#: 2d4c8e73dc8848ebabce5f216dce8fe9 302a0758167541f7a83926368623f1e7 +#: ../../source/Advanced/integ_converg/integ_converg.rst:51 +#: ../../source/Advanced/integ_converg/integ_converg.rst:155 +#: 65d25eb501324795bf332d359e54d881 c5ac1b35456c470a8209b3cb4941e815 msgid "输出的文件如下，" msgstr "The output files are as follows," -#: ../../source/Tutorial/integ_converg/integ_converg.rst:56 -#: 56c959f30eee4dd3b695460f22278398 +#: ../../source/Advanced/integ_converg/integ_converg.rst:56 +#: 3a714d5065614082bf0b43d37db9b018 msgid "后续你可以选择习惯的方式读取和处理。" -msgstr "Subsequently, you can choose your preferred method for reading and processing." +msgstr "" +"Subsequently, you can choose your preferred method for reading and " +"processing." -#: ../../source/Tutorial/integ_converg/integ_converg.rst:65 -#: 774a3323a6994ab78bfd3cf8188fbe4a +#: ../../source/Advanced/integ_converg/integ_converg.rst:65 +#: 2acdff4a78264692bd99ea6853a89bd0 msgid "" "其中除了波数 ``k`` 外，每条结果的命名格式均为 ``{srcType}_{q/w/v}{m}``，与 :ref:`gfunc_rst` " "部分介绍的积分公式中的核函数 :math:`q_m, w_m, v_m` 保持一致。" @@ -138,8 +144,8 @@ msgstr "" ":math:`q_m, w_m, v_m` introduced in the integral formulas in the " ":ref:`gfunc_rst` section." -#: ../../source/Tutorial/integ_converg/integ_converg.rst:69 -#: 134f85e366ef42448e0cedc161180e2b +#: ../../source/Advanced/integ_converg/integ_converg.rst:69 +#: 949bdef2d51d467e83880c6ed89664d5 msgid "" "核函数文件中记录的值非最终核函数值。对于动态解，还需乘 :math:`\\left(-\\dfrac{\\Delta " "k}{4\\pi\\rho\\omega^2}\\right)`。" @@ -148,133 +154,179 @@ msgstr "" "function values. For dynamic solutions, they need to be multiplied by " ":math:`\\left(-\\dfrac{\\Delta k}{4\\pi\\rho\\omega^2}\\right)`." -#: ../../source/Tutorial/integ_converg/integ_converg.rst:72 -#: 78a6f44e73804f62bacbce9070b03d61 +#: ../../source/Advanced/integ_converg/integ_converg.rst:72 +#: 0fc77363663745769a22326b4825bcf4 msgid "可视化" msgstr "Visualization" -#: ../../source/Tutorial/integ_converg/integ_converg.rst:73 -#: 879f345141fa4e418690962b1d156920 +#: ../../source/Advanced/integ_converg/integ_converg.rst:73 +#: 82c13b0b4c6941e4952ab24f1fadb23b msgid "" "以下将使用Python进行图件绘制。 " "**在Python函数中指定震源类型、阶数、积分类型，可自动绘制核函数、被积函数和积分值随波数的变化**，其中积分类型对应 " ":ref:`gfunc_rst` 部分介绍的4种类型。" msgstr "" -"The following will use Python for plotting. " -"**By specifying the source type, order, and integral type in the Python function, " -"it can automatically plot the kernel function, integrand, and the variation of integral values with wavenumber**, " -"where the integral types correspond to the four types introduced in the :ref:`gfunc_rst` section." - -#: ../../source/Tutorial/integ_converg/integ_converg.rst:84 -#: 430d7921aec646d298c3bb4cd564ccee +"The following will use Python for plotting. **By specifying the source " +"type, order, and integral type in the Python function, it can " +"automatically plot the kernel function, integrand, and the variation of " +"integral values with wavenumber**, where the integral types correspond to" +" the four types introduced in the :ref:`gfunc_rst` section." + +#: ../../source/Advanced/integ_converg/integ_converg.rst:84 +#: ec1355e099f34060ac349700cb0a65b8 msgid "可以通过指定 ``RorI=False`` 参数来指定绘制虚部，传入 ``RorI=2`` 表示实虚部都绘制。" -msgstr "You can specify the ``RorI=False`` parameter to plot the imaginary part, or pass ``RorI=2`` to plot both the real and imaginary parts." +msgstr "" +"You can specify the ``RorI=False`` parameter to plot the imaginary part, " +"or pass ``RorI=2`` to plot both the real and imaginary parts." -#: ../../source/Tutorial/integ_converg/integ_converg.rst:95 -#: cec891a8167c441d93e1f0f01a63f656 +#: ../../source/Advanced/integ_converg/integ_converg.rst:95 +#: aef5685403794de0a6197ae4f586aa19 msgid "从图中可以看到，当波数增加到一定范围以上，积分收敛良好，无振荡现象。" -msgstr "From the figure, it can be seen that when the wavenumber increases beyond a certain range, the integral converges well without oscillation." +msgstr "" +"From the figure, it can be seen that when the wavenumber increases beyond" +" a certain range, the integral converges well without oscillation." -#: ../../source/Tutorial/integ_converg/integ_converg.rst:100 -#: 42d772f37db4433a9a100efd503e0e0f +#: ../../source/Advanced/integ_converg/integ_converg.rst:100 +#: a7eb8ce8b29946868e4955f6447f4ea0 msgid "当震源和场点深度接近/相等时，积分收敛速度变慢" -msgstr "Integral converge slowly when source and receiver depths are close or equal." +msgstr "" +"Integral converge slowly when source and receiver depths are close or " +"equal." -#: ../../source/Tutorial/integ_converg/integ_converg.rst:102 -#: b01e57de2fb343a983ffb56c1ad02833 +#: ../../source/Advanced/integ_converg/integ_converg.rst:102 +#: e6a7ecf2a76343c5815cb684c4b2ff85 msgid "假设其它参数不变，我们调整 **震源深度为0.1km**，再计算格林函数，读取核函数文件，绘制图像。" -msgstr "Assuming other parameters remain unchanged, we adjust the **source depth to 0.1km**, then calculate the Green's function, read the kernel function file, and plot the image." +msgstr "" +"Assuming other parameters remain unchanged, we adjust the **source depth " +"to 0.1km**, then calculate the Green's function, read the kernel function" +" file, and plot the image." -#: ../../source/Tutorial/integ_converg/integ_converg.rst:124 -#: 0f69ac05eeff4af58dfbcf43e4c6e8f5 +#: ../../source/Advanced/integ_converg/integ_converg.rst:124 +#: 337ceb25b3c04ee992d437c0eb18601f msgid "从图中可以清晰地看到，相比震源深度2km时，积分收敛速度明显变慢，积分值振荡，这要求增加波数积分上限，但这必然降低计算效率。" -msgstr "From the figure, it can be clearly seen that compared to a source depth of 2km, the integral convergence speed is significantly slower, and the integral values oscillate. This requires increasing the upper limit of wavenumber integration, but it inevitably reduces computational efficiency." - -#: ../../source/Tutorial/integ_converg/integ_converg.rst:126 -#: 0797b69836bf4180ba5689780d1d18be +msgstr "" +"From the figure, it can be clearly seen that compared to a source depth " +"of 2km, the integral convergence speed is significantly slower, and the " +"integral values oscillate. This requires increasing the upper limit of " +"wavenumber integration, but it inevitably reduces computational " +"efficiency." + +#: ../../source/Advanced/integ_converg/integ_converg.rst:126 +#: be23e106c00d4657992ed63ad0e89c6b msgid "" "你可以尝试 " "**当震源和场点位于同一深度**，收敛振荡现象也很明显。要注意的是这和是否在地表无关，即使震源和场点都在地下，深度接近时积分收敛也会变慢。" msgstr "" -"You can try " -"**when the source and field points are at the same depth**, the convergence oscillation phenomenon is also obvious. Note that this is unrelated to whether they are on the surface; even if the source and field points are underground, the integral convergence slows down when their depths are close." - -#: ../../source/Tutorial/integ_converg/integ_converg.rst:130 -#: 656d8935d8f54f2bb65e064a3fe821b9 +"You can try **when the source and field points are at the same depth**, " +"the convergence oscillation phenomenon is also obvious. Note that this is" +" unrelated to whether they are on the surface; even if the source and " +"field points are underground, the integral convergence slows down when " +"their depths are close." + +#: ../../source/Advanced/integ_converg/integ_converg.rst:130 +#: 278ac92d1aa44e0d837f6c6280002965 msgid "峰谷平均法" msgstr "Peak-Trough averaging method" -#: ../../source/Tutorial/integ_converg/integ_converg.rst:131 -#: 5677d0310b4348e893106d88dfc1e5f9 +#: ../../source/Advanced/integ_converg/integ_converg.rst:131 +#: 6477c4c8047842398c94952e45f480c0 msgid "" "具体原理很简洁易懂，从以下图像中你也能了解大概。详见 :ref:`(Zhang et al., 2003) ` " ":ref:`(张海明, 2021) `。" msgstr "" -"The principle is very simple and easy to understand, and you can get a general idea from the following image. See :ref:`(Zhang et al., 2003) ` " -":ref:`(Zhang Haiming, 2021) ` for details." +"The principle is very simple and easy to understand, and you can get a " +"general idea from the following image. See :ref:`(Zhang et al., 2003) " +"` :ref:`(Zhang Haiming, 2021) ` for details." -#: ../../source/Tutorial/integ_converg/integ_converg.rst:133 -#: 05fae7d21a684afebd4b575465f0291f +#: ../../source/Advanced/integ_converg/integ_converg.rst:133 +#: d847dd7a10994a9797cc5fd5ed8f6ba6 msgid "" "在以上示例中，当震源和场点深度接近时，你会注意到输出的核函数文件增加了，这是因为程序内部设定 " "**当震源和场点深度差小于1km时，自动使用峰谷平均法（PTAM）**。具体流程为，程序中在进行完离散波数积分后，继续增加k（不同震中距使用不同dk），使用PTAM寻找足够数量的波峰和波谷（内部设定为36个），再对这些波峰波谷取缩减序列" " :math:`M_i \\leftarrow 0.5\\times(M_i + M_{i+1})` " "，得到估计的积分收敛值。取缩减序列的C代码如下，" msgstr "" -"In the above example, when the source and field point depths are close, you will notice an increase in the output kernel function files. This is because the program is internally configured to " -"**automatically use the Peak-Trough Averaging Method (PTAM) when the depth difference between the source and field point is less than 1km**. The specific process is as follows: after completing the discrete wavenumber integration, the program continues to increase k (using different dk for different epicentral distances), uses PTAM to find a sufficient number of peaks and troughs (internally set to 36), and then applies a reduction sequence to these peaks and troughs " -" :math:`M_i \\leftarrow 0.5\\times(M_i + M_{i+1})` " -"to obtain the estimated integral convergence value. The C code for the reduction sequence is as follows," - -#: ../../source/Tutorial/integ_converg/integ_converg.rst:144 -#: a9104a95bcd44ae48fa4421260e69dc3 +"In the above example, when the source and field point depths are close, " +"you will notice an increase in the output kernel function files. This is " +"because the program is internally configured to **automatically use the " +"Peak-Trough Averaging Method (PTAM) when the depth difference between the" +" source and field point is less than 1km**. The specific process is as " +"follows: after completing the discrete wavenumber integration, the " +"program continues to increase k (using different dk for different " +"epicentral distances), uses PTAM to find a sufficient number of peaks and" +" troughs (internally set to 36), and then applies a reduction sequence to" +" these peaks and troughs :math:`M_i \\leftarrow 0.5\\times(M_i + " +"M_{i+1})` to obtain the estimated integral convergence value. The C code " +"for the reduction sequence is as follows," + +#: ../../source/Advanced/integ_converg/integ_converg.rst:144 +#: 415e097454b64cafbe18a04198b95d1d msgid "" "在 ``K_{iw}_{freq}`` 文件同级目录下，程序把 **PTAM过程中的核函数以及积分峰谷位置分为两个文件** 保存在 " "``PTAM_{ir}_{dist}/`` 目录下（ ``{ir}`` 为震中距索引， ``{dist}`` 为震中距），其中 " "``PTAM_{ir}_{dist}/K_{iw}_{freq}`` 为核函数文件（格式不变）， " "``PTAM_{ir}_{dist}/PTAM_{iw}_{freq}`` 为峰谷文件，其中记录积分值的峰谷。" msgstr "" -"In the same directory as the ``K_{iw}_{freq}`` file, the program saves **the kernel functions and integral peak-trough positions during the PTAM process into two separate files** in the " -"``PTAM_{ir}_{dist}/`` directory (where ``{ir}`` is the epicentral distance index and ``{dist}`` is the epicentral distance). " -"Among them, ``PTAM_{ir}_{dist}/K_{iw}_{freq}`` is the kernel function file (format unchanged), and " -"``PTAM_{ir}_{dist}/PTAM_{iw}_{freq}`` is the peak-trough file, which records the peaks and troughs of the integral values." - -#: ../../source/Tutorial/integ_converg/integ_converg.rst:148 -#: 5492d0e7cc6742c19d122eca4ffeb0eb +"In the same directory as the ``K_{iw}_{freq}`` file, the program saves " +"**the kernel functions and integral peak-trough positions during the PTAM" +" process into two separate files** in the ``PTAM_{ir}_{dist}/`` directory" +" (where ``{ir}`` is the epicentral distance index and ``{dist}`` is the " +"epicentral distance). Among them, ``PTAM_{ir}_{dist}/K_{iw}_{freq}`` is " +"the kernel function file (format unchanged), and " +"``PTAM_{ir}_{dist}/PTAM_{iw}_{freq}`` is the peak-trough file, which " +"records the peaks and troughs of the integral values." + +#: ../../source/Advanced/integ_converg/integ_converg.rst:148 +#: 53bc22d888bd422fb5c766696abb5a9f msgid ":command:`grt.k2a` 程序也支持将 ``PTAM_{ir}_{dist}/PTAM_{iw}_{freq}`` 文件转为文本格式，" -msgstr "The :command:`grt.k2a` program also supports converting the ``PTAM_{ir}_{dist}/PTAM_{iw}_{freq}`` file into text format." +msgstr "" +"The :command:`grt.k2a` program also supports converting the " +"``PTAM_{ir}_{dist}/PTAM_{iw}_{freq}`` file into text format." -#: ../../source/Tutorial/integ_converg/integ_converg.rst:160 -#: 39f146fa19884f95a644c505469f975a +#: ../../source/Advanced/integ_converg/integ_converg.rst:160 +#: cd259ed7968945958e3c1abf0b96f0a1 msgid "记录了不同震源、不同积分类型的峰谷位置。" -msgstr "Records the peak-trough positions for different sources and integral types." +msgstr "" +"Records the peak-trough positions for different sources and integral " +"types." -#: ../../source/Tutorial/integ_converg/integ_converg.rst:163 -#: ef88f125266842a699b6da48bdd72bbb +#: ../../source/Advanced/integ_converg/integ_converg.rst:163 +#: d977291e151a4f57b94d3c560dd09ff6 msgid "" "故为了绘制完整的波数积分+PTAM过程，涉及三个文件。不过Python函数已经做了优化，由于程序输出的目录结构固定，文件命名格式固定，只需传入 " "``PTAM_{ir}_{dist}/PTAM_{iw}_{freq}`` 文件，Python函数会自动读取对应的三个文件。" msgstr "" -"Therefore, to plot the complete wavenumber integration + PTAM process, three files are involved. However, the Python function has been optimized. Since the program's output directory structure and file naming format are fixed, you only need to pass the " -"``PTAM_{ir}_{dist}/PTAM_{iw}_{freq}`` file, and the Python function will automatically read the corresponding three files." - -#: ../../source/Tutorial/integ_converg/integ_converg.rst:174 -#: 62b141b242c84d908b59551b27845c5c +"Therefore, to plot the complete wavenumber integration + PTAM process, " +"three files are involved. However, the Python function has been " +"optimized. Since the program's output directory structure and file naming" +" format are fixed, you only need to pass the " +"``PTAM_{ir}_{dist}/PTAM_{iw}_{freq}`` file, and the Python function will " +"automatically read the corresponding three files." + +#: ../../source/Advanced/integ_converg/integ_converg.rst:174 +#: 2ec69cfec0b64ac7bdb938156a47b148 msgid "红十字为选取的波峰波谷，再取缩减序列即可得到估计的积分收敛值。" -msgstr "The red crosses represent the selected peaks and troughs, and the estimated integral convergence value can be obtained by applying the reduction sequence." +msgstr "" +"The red crosses represent the selected peaks and troughs, and the " +"estimated integral convergence value can be obtained by applying the " +"reduction sequence." -#: ../../source/Tutorial/integ_converg/integ_converg.rst:179 -#: cbf9055018924262a938cfb9df1ccd9f +#: ../../source/Advanced/integ_converg/integ_converg.rst:179 +#: 3f2ee24207844b0596f51150b875939e msgid "静态解的积分收敛性" msgstr "Integral convergence of static solutions" -#: ../../source/Tutorial/integ_converg/integ_converg.rst:180 -#: 6b0ebcaf238146679e660dddfac38780 +#: ../../source/Advanced/integ_converg/integ_converg.rst:180 +#: f6b1a03c70be4910bff29ae1664c9f66 msgid "以上部分是以动态解为例，静态解从积分类型、收敛特征、文件格式、绘图完全类似，只是不再有频率索引值。" -msgstr "The above section uses dynamic solutions as an example. Static solutions are completely similar in terms of integral types, convergence characteristics, file formats, and plotting, except that there is no frequency index." +msgstr "" +"The above section uses dynamic solutions as an example. Static solutions " +"are completely similar in terms of integral types, convergence " +"characteristics, file formats, and plotting, except that there is no " +"frequency index." -#: ../../source/Tutorial/integ_converg/integ_converg.rst:184 -#: e4be907168844ed68dd5f653f9b49abc +#: ../../source/Advanced/integ_converg/integ_converg.rst:184 +#: a4559764a2de45c2931d082fc377f79b msgid "" "核函数文件中记录的值非最终核函数值。对于静态解，还需乘 :math:`\\left(\\dfrac{\\Delta " "k}{4\\pi\\mu}\\right)`。" @@ -283,18 +335,21 @@ msgstr "" "function values. For static solutions, they need to be multiplied by " ":math:`\\left(\\dfrac{\\Delta k}{4\\pi\\mu}\\right)`." -#: ../../source/Tutorial/integ_converg/integ_converg.rst:186 -#: 7ec3917ab3e640ff96070518c10a4660 +#: ../../source/Advanced/integ_converg/integ_converg.rst:186 +#: 9b0645ba48404d1793eddb498cecb384 msgid "假设震源深度0.1km，场点位于地表，场点仅定义一个点(2,2)做示例，这里直接给出脚本。" -msgstr "Assume the source depth is 0.1km, the field point is on the surface, and only one point (2,2) is defined as an example. The script is provided directly here." +msgstr "" +"Assume the source depth is 0.1km, the field point is on the surface, and " +"only one point (2,2) is defined as an example. The script is provided " +"directly here." -#: ../../source/Tutorial/integ_converg/integ_converg.rst:207 -#: 2abd9848504845acb4869b98d24174ee +#: ../../source/Advanced/integ_converg/integ_converg.rst:207 +#: 2401fffa26974696a6de399dc3c96de5 msgid "**只使用离散波数积分**" msgstr "**Only use discrete wavenumber integration**" -#: ../../source/Tutorial/integ_converg/integ_converg.rst:215 -#: 263486be70b74606bcbb010d7d96a4fc +#: ../../source/Advanced/integ_converg/integ_converg.rst:215 +#: f16724d784f6468fb1cacffe39c2fce8 msgid "**使用峰谷平均法**" msgstr "**Use Peak-Trough averaging method**" diff --git a/docs/locales/en/LC_MESSAGES/Advanced/k_integ.po b/docs/locales/en/LC_MESSAGES/Advanced/k_integ.po new file mode 100644 index 00000000..2c5ef9c5 --- /dev/null +++ b/docs/locales/en/LC_MESSAGES/Advanced/k_integ.po @@ -0,0 +1,214 @@ +# SOME DESCRIPTIVE TITLE. +# Copyright (C) 2025, Zhu Dengda +# This file is distributed under the same license as the PyGRT package. +# FIRST AUTHOR , 2025. +# +#, fuzzy +msgid "" +msgstr "" +"Project-Id-Version: PyGRT 0.6.1.dev17+g4521452.d20250424\n" +"Report-Msgid-Bugs-To: \n" +"POT-Creation-Date: 2025-04-24 18:17+0800\n" +"PO-Revision-Date: YEAR-MO-DA HO:MI+ZONE\n" +"Last-Translator: FULL NAME \n" +"Language: en\n" +"Language-Team: en \n" +"Plural-Forms: nplurals=2; plural=(n != 1);\n" +"MIME-Version: 1.0\n" +"Content-Type: text/plain; charset=utf-8\n" +"Content-Transfer-Encoding: 8bit\n" +"Generated-By: Babel 2.16.0\n" + +#: ../../source/Advanced/k_integ.rst:4 87ff0fdc29dc4cd39864a536298db4af +msgid "控制波数积分" +msgstr "Control the Wavenumber Integral" + +#: ../../source/Advanced/k_integ.rst 1cc7529328c0437a9ee3779312e50261 +msgid "Author" +msgstr "" + +#: ../../source/Advanced/k_integ.rst:6 ab49adb6873342a2addfb308b639b375 +msgid "Zhu Dengda" +msgstr "" + +#: ../../source/Advanced/k_integ.rst bd299ca0a3a14a8abaf25fb8dbef4e44 +msgid "Email" +msgstr "" + +#: ../../source/Advanced/k_integ.rst:7 d03c97fba0b540bdab1f7d73296e5b15 +msgid "zhudengda@mail.iggcas.ac.cn" +msgstr "" + +#: ../../source/Advanced/k_integ.rst:11 0985b725ebd841acaa02977538ff4c37 +msgid "在 :ref:`gfunc_rst` 部分介绍了程序将按以下形式从数值上计算波数积分，" +msgstr "In the :ref:`gfunc_rst` section, the program numerically computes the wavenumber integral in the following form," + +#: ../../source/Advanced/k_integ.rst:13 fa7c8f44d77943a188ca9302a333bdde +msgid "" +"P_m(\\omega) = \\Delta k \\sum_{j=0}^{\\infty} F_m(k_j,\\omega)J_m(k_j " +"r)k_j" +msgstr "" + +#: ../../source/Advanced/k_integ.rst:17 a6406b12738a4648b50d639a7ee8d25c +msgid "" +"其中 :math:`\\Delta k = 2\\pi/L, k_j=j\\Delta k`，:math:`L` 为特征长度，即 " +":math:`L` 控制波数积分的积分间隔，默认根据 :ref:`gfunc_rst` 部分介绍的约束条件自动确定。" +msgstr "" +"where :math:`\\Delta k = 2\\pi/L, k_j=j\\Delta k`, and :math:`L` is the " +"characteristic length, which controls the interval of the wavenumber integral. " +"By default, it is automatically determined based on the constraints introduced " +"in the :ref:`gfunc_rst` section." + +#: ../../source/Advanced/k_integ.rst:19 adacd157fad2498f981ac3a08fcbc9b3 +msgid "程序会取一个较大值 :math:`k_{\\text{max}}` 作为波数积分的上限，经验公式为" +msgstr "The program will take a relatively large value :math:`k_{\\text{max}}` as the upper limit of the wavenumber integral, with the empirical formula being" + +#: ../../source/Advanced/k_integ.rst:21 1064e89ab8af4d71a4f2a277acdd7a06 +msgid "" +"k_{\\text{max}} = \\sqrt{k_0^2 + s \\cdot " +"\\left(\\dfrac{\\omega}{v_{\\text{min}}}\\right)^2}" +msgstr "" + +#: ../../source/Advanced/k_integ.rst:25 32b42b13b6514f99a373bda326af464d +msgid "其中" +msgstr "in which" + +#: ../../source/Advanced/k_integ.rst:27 77134b08c32f4ae587af3c890ca8d53f +msgid "" +":math:`k_0` 为零频的波数积分上限，默认为 :math:`\\dfrac{5\\pi}{h_s}`， :math:`h_s` " +"为震源和场点的深度差（绝对值），限制最小为1km，若实际深度差小于该值，则自动使用峰谷平均法；" +msgstr "" +":math:`k_0` is the upper limit of the wavenumber integral at zero frequency, " +"with a default value of :math:`\\dfrac{5\\pi}{h_s}`, where :math:`h_s` is the " +"depth difference (absolute value) between the source and the field point, " +"with a minimum limit of 1 km. If the actual depth difference is less than this " +"value, the peak-trough averaging method is automatically used;" + +#: ../../source/Advanced/k_integ.rst:28 5b27979ba29f4cefa238c6ed9079a9ae +msgid ":math:`\\omega` 为角频率；" +msgstr ":math:`\\omega` is angular frequency; " + +#: ../../source/Advanced/k_integ.rst:29 c1bc940666894d15ab48ec781ae73ace +msgid "" +":math:`v_{\\text{min}}` " +"为参考最小速度，默认取自模型中的最小速度，且限制在0.1km/s以上；若传入负值，表明使用峰谷平均法（负号不参与计算）。" +msgstr ":math:`v_{\\text{min}}` is the reference minimum velocity, which defaults to the minimum velocity in the model and is constrained to be above 0.1 km/s. If a negative value is passed, it indicates the use of the peak-trough averaging method (the negative sign is not involved in the calculation)." + +#: ../../source/Advanced/k_integ.rst:30 9c96af014f994d7cbeed5af1f023bc90 +msgid ":math:`s` 为放大系数，默认为1.15；" +msgstr ":math:`s` is the amplification factor, with a default value of 1.15." + +#: ../../source/Advanced/k_integ.rst:32 50bd4468c26d4ab3b0b56085e59e407c +msgid "" +"程序支持自动判断积分收敛 :ref:`(Yao and Harkrider, 1983) ` " +"。当所有积分满足如下表达式时，自动退出波数循环（若达到 :math:`k_{\\text{max}}` 则强制退出 ），" +msgstr "" +"The program supports automatic determination of integral convergence :ref:`(Yao and Harkrider, 1983) `. " +"When all integrals satisfy the following expression, the wavenumber loop automatically exits (or forcibly exits if :math:`k_{\\text{max}}` is reached)." + +#: ../../source/Advanced/k_integ.rst:34 ec1e4ad7c431464887daf95ae76773c8 +msgid "" +"\\left | \\dfrac{ k_j F_m(k_j,\\omega) J_m(k_j r) }\n" +"{\\sum_{i=1}^j k_i F_m(k_i,\\omega) J_m(k_i r) } \\right | \\le \\epsilon" +msgstr "" + +#: ../../source/Advanced/k_integ.rst:39 8a0fa6fedad54f259b35beb9cf5562f2 +msgid "其中 :math:`\\epsilon` 为预先指定的收敛精度。程序默认不使用该功能。" +msgstr "where :math:`\\epsilon` is the pre-specified convergence precision. By default, the program does not use this feature." + +#: ../../source/Advanced/k_integ.rst:43 1fc743ca959d4603aa4ba69ca169546f +msgid "通过以下可选参数，可直接控制波数积分， **也将直接影响程序计算结果和运行时长**。" +msgstr "The wavenumber integral can be directly controlled through the following optional parameters, **which will also directly affect the program's calculation results and runtime duration**." + +#: ../../source/Advanced/k_integ.rst:47 5272f11a07444d5bacc7b53a12e75411 +msgid "C" +msgstr "" + +#: ../../source/Advanced/k_integ.rst:49 d67f545bea54451aaca58040f8397be4 +msgid ":command:`grt` 程序支持以下可选参数来控制波数积分，具体说明详见 :command:`grt -h`。" +msgstr "The :command:`grt` program supports the following optional parameters to control the wavenumber integral. For detailed explanations, see :command:`grt -h`." + +#: ../../source/Advanced/k_integ.rst:51 2e90e349a51d418d8e98d1d538881307 +msgid "``-K[//]``" +msgstr "" + +#: ../../source/Advanced/k_integ.rst:53 05e7d4ce390e4e66ad3219f96c92266b +msgid "```` 对应公式中的 :math:`k_0` 的系数，默认为5" +msgstr "```` corresponds to the coefficient of :math:`k_0` in the formula, with a default value of 5." + +#: ../../source/Advanced/k_integ.rst:54 9e8a6ecaf1ea411e93e597bef12a79f4 +msgid "```` 对应公式中的 :math:`s` ，默认为1.15" +msgstr "```` corresponds to :math:`s` in the formula, with a default value of 1.15." + +#: ../../source/Advanced/k_integ.rst:55 8c88510577cb43fb92e122ccd4930d5f +msgid "```` 对应公式中的 :math:`\\epsilon`，默认为-1（不使用）" +msgstr "```` corresponds to :math:`\\epsilon` in the formula, with a default value of -1 (not used)." + +#: ../../source/Advanced/k_integ.rst:57 8d2c65b110004904b2a1efbcb465a844 +msgid "``-V``， 对应公式中的 :math:`v_{\\text{min}}`" +msgstr "``-V`` corresponds to :math:`v_{\\text{min}}` in the formula." + +#: ../../source/Advanced/k_integ.rst:59 eeac188d30b84bb49dcddf1ec821b68d +msgid "" +"``-L``， 对应公式中的 :math:`L` 的系数, :math:`L=` ```` " +":math:`\\cdot r_{\\text{max}}`" +msgstr "``-L`` corresponds to the coefficient of :math:`L` in the formula, where :math:`L=` ```` :math:`\\cdot r_{\\text{max}}`." + +#: ../../source/Advanced/k_integ.rst:61 f2cda0eaf3fe42929713f5c5eed8eb91 +msgid ":command:`stgrt` 程序支持以下可选参数来控制波数积分，参数与上面对应，具体说明详见 :command:`stgrt -h`。" +msgstr "The :command:`stgrt` program supports the following optional parameters to control the wavenumber integral. The parameters correspond to the above, and detailed explanations can be found in :command:`stgrt -h`." + +#: ../../source/Advanced/k_integ.rst:63 de3b285eef554807913934c2148aea69 +msgid "``-K[/]``" +msgstr "" + +#: ../../source/Advanced/k_integ.rst:64 797b5b41f6424f198a8fd9abc514a532 +msgid "``-L``" +msgstr "" + +#: ../../source/Advanced/k_integ.rst:66 1038c2e13ae345549f351ca0a46713e5 +msgid "Python" +msgstr "" + +#: ../../source/Advanced/k_integ.rst:68 0699bee654af41ed8c4e53bc58d6973f +msgid "" +":func:`compute_grn() ` " +"函数支持以下可选参数来控制波数积分，具体说明详见API。" +msgstr "The :func:`compute_grn() ` function supports the following optional parameters to control the wavenumber integral. For detailed explanations, see the API." + +#: ../../source/Advanced/k_integ.rst:70 1802fc3c1789437090fadc966180c163 +msgid "``k0:float``, 对应公式中的 :math:`k_0` 的系数，默认为5" +msgstr "``k0:float`` corresponds to the coefficient of :math:`k_0` in the formula, with a default value of 5." + +#: ../../source/Advanced/k_integ.rst:71 e240b6bd982e4c23902f69f4f81eabbf +msgid "``ampk:float``, 对应公式中的 :math:`s` ，默认为1.15" +msgstr "``ampk:float`` corresponds to :math:`s` in the formula, with a default value of 1.15." + +#: ../../source/Advanced/k_integ.rst:72 f4bce5d58e8346fca3393407ad64d939 +msgid "``keps:float`` 对应公式中的 :math:`\\epsilon`，默认为-1（不使用）" +msgstr "``keps:float`` corresponds to :math:`\\epsilon` in the formula, with a default value of -1 (not used)." + +#: ../../source/Advanced/k_integ.rst:73 3776ee56a0a040eca108a14a217fd6e4 +msgid "" +"``Length:float`` 对应公式中的 :math:`L` 的系数, :math:`L=` ```` " +":math:`\\cdot r_{\\text{max}}`" +msgstr "``Length:float`` corresponds to the coefficient of :math:`L` in the formula, where :math:`L=` ```` :math:`\\cdot r_{\\text{max}}`." + +#: ../../source/Advanced/k_integ.rst:75 aee1cf0b2baf4762aa0e46678d9298ae +msgid "" +":func:`compute_static_grn() ` " +"函数支持以下可选参数来控制波数积分，参数与上面对应，具体说明详见API。" +msgstr "The :func:`compute_static_grn() ` function supports the following optional parameters to control the wavenumber integral. The parameters correspond to the above, and detailed explanations can be found in the API." + +#: ../../source/Advanced/k_integ.rst:77 c35575180a9f4e6b8f6b4b8645d80207 +msgid "``k0:float``" +msgstr "" + +#: ../../source/Advanced/k_integ.rst:78 adc2a5b37a084c83b18939c74f29dece +msgid "``keps:float``" +msgstr "" + +#: ../../source/Advanced/k_integ.rst:79 ad419c4908d14fbd883312c30f20a4e6 +msgid "``Length:float``" +msgstr "" + diff --git a/docs/locales/en/LC_MESSAGES/Tutorial/dynamic/gfunc.po b/docs/locales/en/LC_MESSAGES/Tutorial/dynamic/gfunc.po index 135cd7b1..4d46ffdc 100644 --- a/docs/locales/en/LC_MESSAGES/Tutorial/dynamic/gfunc.po +++ b/docs/locales/en/LC_MESSAGES/Tutorial/dynamic/gfunc.po @@ -114,7 +114,6 @@ msgstr "" ":rst:dir:`GRN/milrow_{depsrc}_{deprcv}_{dist}/`." #: ../../source/Tutorial/dynamic/gfunc.rst:44 b597d6560c994c0bbe1aee78d1648581 -#, fuzzy msgid "" "一些基本信息（包括源点和场点的物性参数）保存在SAC头段变量中，其中 :c:var:`t0` 和 :c:var:`t1` " "分别代表初至P波和初至S波的到时。在不设定其它参数时，程序中使用0（发震时刻）作为参考时间，故其等价于走时。" @@ -210,22 +209,22 @@ msgstr "" "into solving the following integrals:" #: ../../source/Tutorial/dynamic/gfunc.rst:96 7b26addcbf9e47b99eec0ba68d561dc1 -msgid "P_m(\\omega) = \\int_0^\\infty F(k, \\omega)J_m(kr)kdk" +msgid "P_m(\\omega) = \\int_0^\\infty F_m(k, \\omega)J_m(kr)kdk" msgstr "" #: ../../source/Tutorial/dynamic/gfunc.rst:100 93a7e16857954427acff5c4229f3eee3 msgid "" -"其中 :math:`F(k,\\omega)` 称为核函数，它是和介质属性相关的量，与震中距无关。我们可以使用离散波数积分法 " +"其中 :math:`F_m(k,\\omega)` 称为核函数，它是和介质属性相关的量，与震中距无关。我们可以使用离散波数积分法 " ":ref:`(Bouchon, 1981) ` 将上式积分转变为求和:" msgstr "" -"Here, :math:`F(k,\\omega)` is called the kernel function, which is " +"Here, :math:`F_m(k,\\omega)` is called the kernel function, which is " "related to the medium properties and independent of the epicentral " "distance. We can use the discrete wavenumber integration method " ":ref:`(Bouchon, 1981) ` to transform the above integral " "into a summation:" #: ../../source/Tutorial/dynamic/gfunc.rst:102 1df6a1eece5342fcb3462ff4ae6bdc80 -msgid "P_m(\\omega) = \\Delta k \\sum_{j=0}^{\\infty} F(k_j,\\omega)J_m(k_j r)k_j" +msgid "P_m(\\omega) = \\Delta k \\sum_{j=0}^{\\infty} F_m(k_j,\\omega)J_m(k_j r)k_j" msgstr "" #: ../../source/Tutorial/dynamic/gfunc.rst:106 3675493efafa44dca67e40b40714875d @@ -379,10 +378,10 @@ msgstr "" #: ../../source/Tutorial/dynamic/gfunc.rst:186 fde71aca360f42bdbb33c2fa1bf8cb0f msgid "" -"以上每个积分都形成 :math:`\\int_0^\\infty F(k, \\omega)J_m(kr)kdk` " +"以上每个积分都形成 :math:`\\int_0^\\infty F_m(k, \\omega)J_m(kr)kdk` " "的形式，便可逐个使用离散波数积分（或Filon积分、峰谷平均法等）求解每个积分。" msgstr "" -"Each of the above integrals takes the form :math:`\\int_0^\\infty F(k, " +"Each of the above integrals takes the form :math:`\\int_0^\\infty F_m(k, " "\\omega)J_m(kr)kdk`, and each integral can be solved individually using " "discrete wavenumber integration (or Filon integration, peak-trough " "averaging method, etc.)." diff --git a/docs/source/Advanced/filon_linear.rst b/docs/source/Advanced/filon_linear.rst new file mode 100644 index 00000000..afec422c --- /dev/null +++ b/docs/source/Advanced/filon_linear.rst @@ -0,0 +1,75 @@ +Filon积分法 +=================== + +:Author: Zhu Dengda +:Email: zhudengda@mail.iggcas.ac.cn + +----------------------------------------------------------- + +.. warning:: + + 谨慎使用固定间隔的Filon积分法，除非你很清楚原理以及误差来源。后期会考虑加入 **自适应Filon积分法** :ref:`(张海明, 2021) ` 以减少固定积分间隔的影响。 + + +以下介绍程序中使用的 **基于两点线性插值的Filon积分** :ref:`(纪晨, 姚振兴, 1995) ` :ref:`(初稿) ` ，主要介绍思路，具体公式推导详见对应论文。 + +对于以下积分， + +.. math:: + + P_m(\omega,r) = \int_0^{k_{\text{max}}} F_m(k, \omega)J_m(kr)kdk + +分成两个部分， + +.. math:: + + P_m(\omega,r) = \int_0^{k^*} F_m(k, \omega)J_m(kr)kdk + \int_{k^*}^{k_{\text{max}}} F_m(k, \omega)J_m(kr)kdk + +其中积分第一部分仍然使用离散波数积分求解 （见 :ref:`k_integ_rst` 部分），积分第二部分将Bessel函数取渐近表达式，可将其转为以下形式 + +.. math:: + + \begin{align} + P_m(\omega,r) &= \sqrt{\dfrac{2}{\pi r}} + \bbox[yellow] {\int_{k^*}^{k_{\text{max}}} \bar{F}_m(k, \omega) \text{cos} \left( kr - (2m+1)\pi/4 \right) dk } \\ + \bar{F}_m(k, \omega) &= \sqrt{k} F_m(k, \omega) + \end{align} + +其中高亮部分的积分是Filon积分的关键。在每一个区间 :math:`[k_i, k_{i+1}], k_i=(i-1) \Delta k` 内，使用两点线性插值公式，:math:`\bar{F}` 可表示为 + +.. math:: + + \bar{F} = \bar{F}_i + \dfrac{\bar{F}_{i+1} - \bar{F}_i}{\Delta k} (k - k_i) + +将此式代回积分公式中，可得到 **该区间内的积分解析解**，而最终的解即为多个区间内解析解的和。可进一步推导，将相邻区间的解析解中的部分式子两两相消，得到更简化的整个区间的解析解。由于相比于Bessel函数， :math:`\bar{F}` 往往变化比较缓慢，故Filon积分可使用相对较大的步长 :math:`\Delta k` 也可以有很好的精度。 + +------------------------------------ + +.. note:: + + 从以上推导可看出，该方法的精度取决于以下两个方面： + + 1. **Bessel函数渐近表达式与真实值的误差：** 通过将积分分为两个部分计算，可大幅减少该误差。 + + 2. **区间内核函数线性拟合与真实值的误差：** 该误差受人为设定的Filon积分间隔控制。当 **区间过大** 时，线性拟合效果很差，计算结果偏差较大。 + + +通过以下可选参数，可使用Filon积分。 + +.. tabs:: + + .. group-tab:: C + + :command:`grt` 和 :command:`stgrt` 程序支持以下可选参数来使用Filon积分，具体说明详见 :command:`grt -h` 或 :command:`stgrt -h`。 + + + ``-L[//]`` + + + ```` 定义离散波数积分的积分间隔 （见 :ref:`k_integ_rst` 部分） + + ```` 定义Filon积分间隔，公式和离散波数积分使用的一致。 + + ```` 定义了两个积分的分割点， :math:`k^*=` ```` :math:`/r_{\text{max}}` + + .. group-tab:: Python + + :func:`compute_grn() ` 函数和 :func:`compute_static_grn() ` 函数支持以下可选参数来使用Filon积分，具体说明详见API。 + + + ``filonLC:List[float]`` 需给定两个量，分别对应C选项卡中的 ```` 参数和 ```` 参数。 diff --git a/docs/source/Advanced/index.rst b/docs/source/Advanced/index.rst index c9affaaf..f8b59a50 100644 --- a/docs/source/Advanced/index.rst +++ b/docs/source/Advanced/index.rst @@ -11,5 +11,7 @@ .. toctree:: :maxdepth: 1 + k_integ + filon_linear integ_converg/integ_converg kernel/kernel diff --git a/docs/source/Advanced/integ_converg/integ_converg.rst b/docs/source/Advanced/integ_converg/integ_converg.rst index f502c52d..3b176d2d 100644 --- a/docs/source/Advanced/integ_converg/integ_converg.rst +++ b/docs/source/Advanced/integ_converg/integ_converg.rst @@ -1,7 +1,7 @@ .. _integ_converg_rst: -积分收敛性 -=================== +积分收敛性与峰谷平均法 +=============================== :Author: Zhu Dengda :Email: zhudengda@mail.iggcas.ac.cn diff --git a/docs/source/Advanced/k_integ.rst b/docs/source/Advanced/k_integ.rst new file mode 100644 index 00000000..9b962f9e --- /dev/null +++ b/docs/source/Advanced/k_integ.rst @@ -0,0 +1,79 @@ +.. _k_integ_rst: + +控制波数积分 +=================== + +:Author: Zhu Dengda +:Email: zhudengda@mail.iggcas.ac.cn + +----------------------------------------------------------- + +在 :ref:`gfunc_rst` 部分介绍了程序将按以下形式从数值上计算波数积分， + +.. math:: + + P_m(\omega) = \Delta k \sum_{j=0}^{\infty} F_m(k_j,\omega)J_m(k_j r)k_j + +其中 :math:`\Delta k = 2\pi/L, k_j=j\Delta k`，:math:`L` 为特征长度，即 :math:`L` 控制波数积分的积分间隔，默认根据 :ref:`gfunc_rst` 部分介绍的约束条件自动确定。 + +程序会取一个较大值 :math:`k_{\text{max}}` 作为波数积分的上限，经验公式为 + +.. math:: + + k_{\text{max}} = \sqrt{k_0^2 + s \cdot \left(\dfrac{\omega}{v_{\text{min}}}\right)^2} + +其中 + ++ :math:`k_0` 为零频的波数积分上限，默认为 :math:`\dfrac{5\pi}{h_s}`， :math:`h_s` 为震源和场点的深度差（绝对值），限制最小为1km，若实际深度差小于该值，则自动使用峰谷平均法； ++ :math:`\omega` 为角频率； ++ :math:`v_{\text{min}}` 为参考最小速度，默认取自模型中的最小速度，且限制在0.1km/s以上；若传入负值，表明使用峰谷平均法（负号不参与计算）。 ++ :math:`s` 为放大系数，默认为1.15； + +程序支持自动判断积分收敛 :ref:`(Yao and Harkrider, 1983) ` 。当所有积分满足如下表达式时，自动退出波数循环（若达到 :math:`k_{\text{max}}` 则强制退出 ）， + +.. math:: + + \left | \dfrac{ k_j F_m(k_j,\omega) J_m(k_j r) } + {\sum_{i=1}^j k_i F_m(k_i,\omega) J_m(k_i r) } \right | \le \epsilon + +其中 :math:`\epsilon` 为预先指定的收敛精度。程序默认不使用该功能。 + +------------------------------------ + +通过以下可选参数，可直接控制波数积分， **也将直接影响程序计算结果和运行时长**。 + +.. tabs:: + + .. group-tab:: C + + :command:`grt` 程序支持以下可选参数来控制波数积分，具体说明详见 :command:`grt -h`。 + + + ``-K[//]`` + + + ```` 对应公式中的 :math:`k_0` 的系数，默认为5 + + ```` 对应公式中的 :math:`s` ，默认为1.15 + + ```` 对应公式中的 :math:`\epsilon`，默认为-1（不使用） + + + ``-V``， 对应公式中的 :math:`v_{\text{min}}` + + + ``-L``， 对应公式中的 :math:`L` 的系数, :math:`L=` ```` :math:`\cdot r_{\text{max}}` + + :command:`stgrt` 程序支持以下可选参数来控制波数积分，参数与上面对应，具体说明详见 :command:`stgrt -h`。 + + + ``-K[/]`` + + ``-L`` + + .. group-tab:: Python + + :func:`compute_grn() ` 函数支持以下可选参数来控制波数积分，具体说明详见API。 + + + ``k0:float``, 对应公式中的 :math:`k_0` 的系数，默认为5 + + ``ampk:float``, 对应公式中的 :math:`s` ，默认为1.15 + + ``keps:float`` 对应公式中的 :math:`\epsilon`，默认为-1（不使用） + + ``Length:float`` 对应公式中的 :math:`L` 的系数, :math:`L=` ```` :math:`\cdot r_{\text{max}}` + + :func:`compute_static_grn() ` 函数支持以下可选参数来控制波数积分，参数与上面对应，具体说明详见API。 + + + ``k0:float`` + + ``keps:float`` + + ``Length:float`` diff --git a/docs/source/Tutorial/dynamic/gfunc.rst b/docs/source/Tutorial/dynamic/gfunc.rst index 1e997833..70b064e8 100644 --- a/docs/source/Tutorial/dynamic/gfunc.rst +++ b/docs/source/Tutorial/dynamic/gfunc.rst @@ -95,13 +95,13 @@ Python中计算动态格林函数的主函数为 :func:`compute_grn() ` 将上式积分转变为求和: +其中 :math:`F_m(k,\omega)` 称为核函数，它是和介质属性相关的量，与震中距无关。我们可以使用离散波数积分法 :ref:`(Bouchon, 1981) ` 将上式积分转变为求和: .. math:: - P_m(\omega) = \Delta k \sum_{j=0}^{\infty} F(k_j,\omega)J_m(k_j r)k_j + P_m(\omega) = \Delta k \sum_{j=0}^{\infty} F_m(k_j,\omega)J_m(k_j r)k_j 其中 :math:`\Delta k = 2\pi/L, k_j=j\Delta k`，:math:`L` 为特征长度，要求满足: @@ -183,7 +183,7 @@ Python中计算动态格林函数的主函数为 :func:`compute_grn() `_ 的订正。 diff --git a/docs/source/Tutorial/run_all.sh b/docs/source/run_all.sh similarity index 78% rename from docs/source/Tutorial/run_all.sh rename to docs/source/run_all.sh index e9b30fb6..14c40c5c 100755 --- a/docs/source/Tutorial/run_all.sh +++ b/docs/source/run_all.sh @@ -1,10 +1,11 @@ #!/bin/bash +set -e # 运行教程中所有示例的脚本，方便将成图过程放在readthedocs服务器上 if [[ $1 == '1' || $1 == '' ]]; then - cd dynamic/run + cd Tutorial/dynamic/run chmod +x *.sh ./run.sh python run.py @@ -13,7 +14,7 @@ fi if [[ $1 == '2' || $1 == '' ]]; then - cd static/run + cd Tutorial/static/run chmod +x *.sh ./run.sh python run.py @@ -21,7 +22,7 @@ if [[ $1 == '2' || $1 == '' ]]; then fi if [[ $1 == '3' || $1 == '' ]]; then - cd dynamic/run_upar + cd Tutorial/dynamic/run_upar chmod +x *.sh ./run.sh python run.py @@ -29,7 +30,7 @@ if [[ $1 == '3' || $1 == '' ]]; then fi if [[ $1 == '4' || $1 == '' ]]; then - cd static/run_upar + cd Tutorial/static/run_upar chmod +x *.sh ./run.sh python run.py @@ -37,7 +38,7 @@ if [[ $1 == '4' || $1 == '' ]]; then fi if [[ $1 == '5' || $1 == '' ]]; then - cd integ_converg/run + cd Advanced/integ_converg/run chmod +x *.sh ./run.sh python run.py @@ -45,7 +46,7 @@ if [[ $1 == '5' || $1 == '' ]]; then fi if [[ $1 == '6' || $1 == '' ]]; then - cd kernel/run + cd Advanced/kernel/run chmod +x *.sh ./run.sh python run.py