/
Mvti2dpseudosv.c
526 lines (429 loc) · 16 KB
/
Mvti2dpseudosv.c
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/* 2-D two-components wavefield modeling using pseudo-pure mode qSV-wave equation in VTI media.
Copyright (C) 2012 Tongji University, Shanghai, China
Authors: Jiubing Cheng, Wei Kang and Tengfei Wang
This program is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program; if not, write to the Free Software
Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
*/
#include <rsf.h>
/* prepared head files by myself */
#include "_fd.h"
#include "_cjb.h"
/* head files aumatically produced from *.c */
#include "ricker.h"
#include "puthead.h"
#include "fdcoef.h"
#include "zero.h"
#include "kykxkztaper.h"
#include "kykxkz2yxz.h"
#include "clipsmthspec.h"
/* wave-mode separation operators */
#include "curlpoldevvtisv.h"
#include "filter2dsep.h"
/* wavefield propagators */
#include "fwpvtipseudosv.h"
/*****************************************************************************************/
int main(int argc, char* argv[])
{
int ix, iz, ixf, izf, jx, jz, ixx, izz, i,j,im, jm,nx,nz,nxpad,nzpad,it,ii,jj;
float kxmax,kzmax;
float A, f0, t, t0, dx, dz, dxf, dzf, dt, dkx, dkz, dt2, div;
int mm, nvx, nvz, ns;
int hnkx, hnkz, nkx, nkz, nxz, nkxz;
int hnkx1=0, hnkz1=0, nkx1, nkz1;
int isx, isz, isxm, iszm; /*source location */
int nxf, nzf;
int nstep; /* every nstep in spatial grids to calculate filters sparsely*/
int itaper; /* tapering or not for spectrum of oprtator*/
float *coeff_1dx, *coeff_1dz, *coeff_2dx, *coeff_2dz; /* finite-difference coefficient */
float *kx, *kz, *kkx, *kkz, *kx2, *kz2, **taper;
float **acx, **acz, **acxx, **aczz; /* divergence operator of P-wave for a location */
float **asx, **asz, **asxx, **aszz; /* polarization operator of P-wave for a location */
float **asvx, **asvz, **asvxx, **asvzz; /* projection deviation operator of P-wave for a location */
float ****ex, ****ez; /* operator for whole model for P-wave*/
float **exx, **ezz; /* operator for constant model for P-wave*/
float **vp0, **vs0, **epsi, **del; /* velocity model */
float **p1, **p2, **p3, **q1, **q2, **q3, **p3c, **q3c, **sum; /* wavefield array */
clock_t t2, t3, t4, t5;
float timespent;
float fx, fz;
char *tapertype;
int isep=1;
int ihomo=1;
double vp2, vs2, ep2, de2;
sf_init(argc,argv);
sf_file Fo1, Fo2, Fo3, Fo4, Fo5, Fo6, Fo7, Fo8;
sf_file Fo9, Fo10, Fo11, Fo12, Fo13, Fo14, Fo15, Fo16;
/* wavelet parameter for source definition */
f0=30.0;
t0=0.04;
A=1.0;
/* time samping paramter */
if (!sf_getint("ns",&ns)) ns=301;
if (!sf_getfloat("dt",&dt)) dt=0.001;
if (!sf_getint("isep",&isep)) isep=0; /* if isep=1, separate wave-modes */
if (!sf_getint("ihomo",&ihomo)) ihomo=0; /* if ihomo=1, homogeneous medium */
if (!sf_getint("itaper",&itaper)) itaper=0; /* if itaper=1, taper the wavenumber domain p=operators*/
if (NULL== (tapertype=sf_getstring("tapertype"))) tapertype="D"; /* taper type*/
if (!sf_getint("nstep",&nstep)) nstep=2;
sf_warning("isep=%d",isep);
sf_warning("ihomo=%d",ihomo);
sf_warning("itaper=%d",itaper);
sf_warning("tapertype=%s",tapertype);
sf_warning("nstep=%d",nstep);
sf_warning("ns=%d dt=%f",ns,dt);
sf_warning("read velocity model parameters");
/* setup I/O files */
sf_file Fvp0, Fvs0, Feps, Fdel;
Fvp0 = sf_input ("in"); /* vp0 using standard input */
Fvs0 = sf_input ("vs0"); /* vs0 */
Feps = sf_input ("epsi"); /* epsi */
Fdel = sf_input ("del"); /* delta */
/* Read/Write axes */
sf_axis az, ax;
az = sf_iaxa(Fvp0,1); nvz = sf_n(az); dz = sf_d(az)*1000.0;
ax = sf_iaxa(Fvp0,2); nvx = sf_n(ax); dx = sf_d(ax)*1000.0;
fx=sf_o(ax)*1000.0;
fz=sf_o(az)*1000.0;
/* source definition */
isx=nvx/2;
isz=nvz/2;
//isz=nvz*2/5;
/* wave modeling space */
nx=nvx;
nz=nvz;
nxpad=nx+2*_m;
nzpad=nz+2*_m;
sf_warning("fx=%f fz=%f dx=%f dz=%f",fx,fz,dx,dz);
sf_warning("nx=%d nz=%d nxpad=%d nzpad=%d", nx,nz,nxpad,nzpad);
vp0=sf_floatalloc2(nz,nx);
vs0=sf_floatalloc2(nz,nx);
epsi=sf_floatalloc2(nz,nx);
del=sf_floatalloc2(nz,nx);
nxz=nx*nz;
mm=2*_m+1;
dt2=dt*dt;
isxm=isx+_m; /* source's x location */
iszm=isz+_m; /* source's z-location */
/* read velocity model */
sf_floatread(vp0[0],nxz,Fvp0);
sf_floatread(vs0[0],nxz,Fvs0);
sf_floatread(epsi[0],nxz,Feps);
sf_floatread(del[0],nxz,Fdel);
t2=clock();
/* setup I/O files */
Fo1 = sf_output("out"); /* pseudo-pure qSV-wave x-component */
Fo2 = sf_output("PseudoPureSVz"); /* pseudo-pure qSV-wave z-component */
Fo3 = sf_output("PseudoPureSV"); /* scalar qSV-wave field using divergence operator */
puthead3(Fo1, nz, nx, 1, dz/1000.0, dx/1000.0, dt, fz/1000.0, fx/1000.0, dt*(ns-1));
puthead3(Fo2, nz, nx, 1, dz/1000.0, dx/1000.0, dt, fz/1000.0, fx/1000.0, dt*(ns-1));
puthead3(Fo3, nz, nx, 1, dz/1000.0, dx/1000.0, dt, fz/1000.0, fx/1000.0, dt*(ns-1));
/*****************************************************************************
* Calculating polarization deviation operator for wave-mode separation
* ***************************************************************************/
if(isep==1)
{
/* calculate spatial steps for operater in sparsely sampling grid point */
dxf=dx*nstep;
dzf=dz*nstep;
nxf=nx/nstep+1;
nzf=nz/nstep+1;
/* operators length for calculation */
hnkx=800.0/dxf;
hnkz=800.0/dzf;
nkx=2*hnkx+1; /* operator length in kx-direction */
nkz=2*hnkz+1; /* operator length in kz-direction */
/* truncated spatial operators length for filtering*/
hnkx1=400.0/dxf;
hnkz1=400.0/dzf;
nkx1=2*hnkx1+1;
nkz1=2*hnkz1+1;
sf_warning("nx=%d nz=%d nxf=%d nzf=%d", nx,nz,nxf,nzf);
sf_warning("dx=%f dz=%f dxf=%f dzf=%f", dx,dz,dxf,dzf);
sf_warning("hnkx=%d hnkz=%d nkx=%d nkz=%d", hnkx, hnkz, nkx, nkz);
sf_warning("hnkx1=%d hnkz1=%d nkx1=%d nkz1=%d", hnkx1, hnkz1, nkx1, nkz1);
dkx=2*SF_PI/dxf/nkx;
dkz=2*SF_PI/dzf/nkz;
kxmax=SF_PI/dxf;
kzmax=SF_PI/dzf;
kx=sf_floatalloc(nkx);
kz=sf_floatalloc(nkx);
kkx=sf_floatalloc(nkx);
kkz=sf_floatalloc(nkx);
kx2=sf_floatalloc(nkx);
kz2=sf_floatalloc(nkx);
taper=sf_floatalloc2(nkz, nkx);
// define axis samples and taper in wavenumber domain
kxkztaper(kx, kz, kkx, kkz, kx2, kz2, taper, nkx, nkz, hnkx, hnkz, dkx, dkz, kxmax, kzmax, tapertype);
p3c=sf_floatalloc2(nz,nx);
q3c=sf_floatalloc2(nz,nx);
sum=sf_floatalloc2(nz,nx);
if(ihomo==1)
{
exx=sf_floatalloc2(nkz1, nkx1);
ezz=sf_floatalloc2(nkz1, nkx1);
ex=NULL;
ez=NULL;
}
else{ // to store spatail varaied operators
ex=sf_floatalloc4(nkz1, nkx1, nzf, nxf);
ez=sf_floatalloc4(nkz1, nkx1, nzf, nxf);
exx=NULL;
ezz=NULL;
}
nkxz=nkx*nkz;
acx=sf_floatalloc2(nkz, nkx);
acz=sf_floatalloc2(nkz, nkx);
acxx=sf_floatalloc2(nkz, nkx);
aczz=sf_floatalloc2(nkz, nkx);
asx=sf_floatalloc2(nkz, nkx);
asz=sf_floatalloc2(nkz, nkx);
asxx=sf_floatalloc2(nkz, nkx);
aszz=sf_floatalloc2(nkz, nkx);
asvx=sf_floatalloc2(nkz, nkx);
asvz=sf_floatalloc2(nkz, nkx);
asvxx=sf_floatalloc2(nkz, nkx);
asvzz=sf_floatalloc2(nkz, nkx);
/* setup I/O files */
Fo4 = sf_output("acx"); /* divergence x-comp */
Fo5 = sf_output("acz"); /* divergence z-comp */
Fo6 = sf_output("asx"); /* qSV-wave's polarization x-comp */
Fo7 = sf_output("asz"); /* qSV-wave's polarization z-comp */
Fo8 = sf_output("asvx"); /* qSV-wave projection deviation x-comp */
Fo9 = sf_output("asvz"); /* qSV-wave projection deviation z-comp */
Fo10 = sf_output("acxx"); /* curl operator x-comp in (x,z) domain */
Fo11 = sf_output("aczz"); /* curl operator z-comp in (x,z) domain */
Fo12 = sf_output("asxx"); /* qSV-wave's polarization x-comp in (x,z) domain */
Fo13 = sf_output("aszz"); /* qSV-wave's polarization z-comp in (x,z) domain */
Fo14 = sf_output("asvxx"); /* qSV-wave projection deviation x-comp in (x,z) domain */
Fo15 = sf_output("asvzz"); /* qSV-wave projection deviation z-comp in (x,z) domain */
puthead1(Fo4, nkz, nkx, dkz, -kzmax, dkx, -kxmax);
puthead1(Fo5, nkz, nkx, dkz, -kzmax, dkx, -kxmax);
puthead1(Fo6, nkz, nkx, dkz, -kzmax, dkx, -kxmax);
puthead1(Fo7, nkz, nkx, dkz, -kzmax, dkx, -kxmax);
puthead1(Fo8, nkz, nkx, dkz, -kzmax, dkx, -kxmax);
puthead1(Fo9, nkz, nkx, dkz, -kzmax, dkx, -kxmax);
puthead2(Fo10, nkz, nkx, dzf/1000.0, 0.0, dxf/1000.0, 0.0);
puthead2(Fo11, nkz, nkx, dzf/1000.0, 0.0, dxf/1000.0, 0.0);
puthead2(Fo12, nkz, nkx, dzf/1000.0, 0.0, dxf/1000.0, 0.0);
puthead2(Fo13, nkz, nkx, dzf/1000.0, 0.0, dxf/1000.0, 0.0);
puthead2(Fo14, nkz, nkx, dzf/1000.0, 0.0, dxf/1000.0, 0.0);
puthead2(Fo15, nkz, nkx, dzf/1000.0, 0.0, dxf/1000.0, 0.0);
/*************calculate projection deviation grid-point by grid-point **********/
for(ix=0,ixf=0;ix<nx;ix+=nstep,ixf++)
{
for(iz=0,izf=0;iz<nz;iz+=nstep,izf++)
{
vp2=vp0[ix][iz]*vp0[ix][iz];
vs2=vs0[ix][iz]*vs0[ix][iz];
ep2=1.0+2*epsi[ix][iz];
de2=1.0+2*del[ix][iz];
if(ixf%50==0&&izf%100==0) sf_warning("Operator: nxf=%d ixf=%d izf=%d vp2=%f vs2=%f",nxf, ixf,izf,vp2,vs2);
/*************calculate projection deviation without tapering **********/
//sf_warning("calculate projection deviation operators");
/* devvtip: projection deviation operators for P-wave in VTI media */
//divpoldevvtip(acx,acz,asx,asz,asvx,asvz,kx,kz,kkx,kkz,kx2,kz2,taper,hnkx,hnkz,
//dkx,dkz,vp2,vs2,ep2,de2,itaper);
curlpoldevvtisv(acx,acz,asx,asz,asvx,asvz,kx,kz,kkx,kkz,kx2,kz2,taper,hnkx,hnkz,
dkx,dkz,vp2,vs2,ep2,de2,itaper);
/* inverse Fourier transform */
kxkz2xz(asvx, asvxx, hnkx, hnkz, nkx, nkz);
kxkz2xz(asvz, asvzz, hnkx, hnkz, nkx, nkz);
// truncation and saving of operator in space-domain
if(ihomo==1)
{
for(jx=-hnkx1,ixx=hnkx-hnkx1;jx<=hnkx1;jx++,ixx++)
for(jz=-hnkz1,izz=hnkz-hnkz1;jz<=hnkz1;jz++,izz++)
{
exx[jx+hnkx1][jz+hnkz1]=asvxx[ixx][izz];
ezz[jx+hnkx1][jz+hnkz1]=asvzz[ixx][izz];
}
}else{
for(jx=-hnkx1,ixx=hnkx-hnkx1;jx<=hnkx1;jx++,ixx++)
for(jz=-hnkz1,izz=hnkz-hnkz1;jz<=hnkz1;jz++,izz++)
{
ex[ixf][izf][jx+hnkx1][jz+hnkz1]=asvxx[ixx][izz];
ez[ixf][izf][jx+hnkx1][jz+hnkz1]=asvzz[ixx][izz];
}
}
if((ixf==nxf/2&&izf==nzf/2&&ihomo==0)||ihomo==1)
{
//sf_warning("write-disk projection-deviation operators in kx-kz domain");
ikxkz2xz(acx, acxx, hnkx, hnkz, nkx, nkz);
ikxkz2xz(acz, aczz, hnkx, hnkz, nkx, nkz);
ikxkz2xz(asx, asxx, hnkx, hnkz, nkx, nkz);
ikxkz2xz(asz, aszz, hnkx, hnkz, nkx, nkz);
sf_floatwrite(acx[0], nkxz, Fo4);
sf_floatwrite(acz[0], nkxz, Fo5);
sf_floatwrite(asx[0], nkxz, Fo6);
sf_floatwrite(asz[0], nkxz, Fo7);
sf_floatwrite(asvx[0], nkxz, Fo8);
sf_floatwrite(asvz[0], nkxz, Fo9);
sf_floatwrite(acxx[0], nkxz, Fo10);
sf_floatwrite(aczz[0], nkxz, Fo11);
sf_floatwrite(asxx[0], nkxz, Fo12);
sf_floatwrite(aszz[0], nkxz, Fo13);
sf_floatwrite(asvxx[0], nkxz, Fo14);
sf_floatwrite(asvzz[0], nkxz, Fo15);
}
if(ihomo==1) goto loop;
}// iz loop
}//ix loop
loop:;
free(*acx);
free(*acz);
free(*acxx);
free(*aczz);
free(*asx);
free(*asz);
free(*asxx);
free(*aszz);
free(*asvx);
free(*asvz);
free(*asvxx);
free(*asvzz);
free(*taper);
free(kx);
free(kz);
free(kx2);
free(kz2);
free(kkx);
free(kkz);
} else { //isep==1
q3c = NULL;
p3c = NULL;
sum = NULL;
ezz = NULL;
exx = NULL;
ex = NULL;
ez = NULL;
}
/****************End of Calculating Projection Deviation Operator****************/
t3=clock();
timespent=(float)(t3-t2)/CLOCKS_PER_SEC;
sf_warning("Computation time (operators): %f (second)",timespent);
/****************begin to calculate wavefield****************/
/****************begin to calculate wavefield****************/
coeff_2dx=sf_floatalloc(mm);
coeff_2dz=sf_floatalloc(mm);
coeff_1dx=sf_floatalloc(mm);
coeff_1dz=sf_floatalloc(mm);
coeff2d(coeff_2dx,dx);
coeff2d(coeff_2dz,dz);
p1=sf_floatalloc2(nzpad, nxpad);
p2=sf_floatalloc2(nzpad, nxpad);
p3=sf_floatalloc2(nzpad, nxpad);
q1=sf_floatalloc2(nzpad, nxpad);
q2=sf_floatalloc2(nzpad, nxpad);
q3=sf_floatalloc2(nzpad, nxpad);
zero2float(p1, nzpad, nxpad);
zero2float(p2, nzpad, nxpad);
zero2float(p3, nzpad, nxpad);
zero2float(q1, nzpad, nxpad);
zero2float(q2, nzpad, nxpad);
zero2float(q3, nzpad, nxpad);
coeff1d(coeff_1dx,dx);
coeff1d(coeff_1dz,dz);
if(isep==1)
{
Fo16 = sf_output("PseudoPureSepSV"); /* scalar P-wave field using polarization projection oprtator*/
puthead3(Fo16, nz, nx, 1, dz/1000.0, dx/1000.0, dt, fz/1000.0, fx/1000.0, dt*(ns-1));
} else {
Fo16 = NULL;
}
sf_warning("==================================================");
sf_warning("== Porpagation Using Pseudo-Pure P-Wave Eq. ==");
sf_warning("==================================================");
t4=clock();
for(it=0;it<ns;it++)
{
t=it*dt;
p2[isxm][iszm]+=Ricker(t, f0, t0, A);
q2[isxm][iszm]+=Ricker(t, f0, t0, A);
/* fwpvtipseudop: forward-propagating in VTI media with pseudo-pure P-wave equation */
fwpvtipseudosv(dt2, p1, p2, p3, q1, q2, q3, coeff_2dx, coeff_2dz,
nx, nz, vp0, vs0, epsi, del);
/******* output wavefields: component and divergence *******/
if(it==ns-1)
{
for(i=0;i<nx;i++)
{
im=i+_m;
for(j=0;j<nz;j++)
{
jm=j+_m;
sf_floatwrite(&p3[im][jm],1,Fo1);
sf_floatwrite(&q3[im][jm],1,Fo2);
div=p3[im][jm]+q3[im][jm];
sf_floatwrite(&div,1,Fo3);
}
}/* i loop*/
t4=clock();
timespent=(float)(t4-t3)/CLOCKS_PER_SEC;
sf_warning("Computation time (propagation): %f (second)",timespent);
if(isep==1)
{
//////////////////////////////////////////////////////////////////////////////////////////
/* correct projection error for accurate separate qP wave in spatial domain */
zero2float(p3c,nz,nx);
zero2float(q3c,nz,nx);
zero2float(sum, nz, nx);
if(ihomo==1)
filter2dsepglobal(p3, q3, p3c, q3c, exx, ezz, nx, nz, hnkx1, hnkz1);
else
filter2dsep(p3, q3, p3c, q3c, ex, ez, nx, nz, nstep, hnkx1, hnkz1);
for(i=0;i<nx;i++)
for(j=0;j<nz;j++)
sum[i][j]=p3c[i][j]+q3c[i][j];
sf_floatwrite(sum[0],nx*nz, Fo16);
t5=clock();
timespent=(float)(t5-t4)/CLOCKS_PER_SEC;
sf_warning("Computation time (one-step separation): %f (second)",timespent);
} // isep==1
}/* (it+1)%ntstep==0 */
/**************************************/
for(i=0,ii=_m;i<nx;i++,ii++)
for(j=0,jj=_m;j<nz;j++,jj++)
{
p1[ii][jj]=p2[ii][jj];
p2[ii][jj]=p3[ii][jj];
q1[ii][jj]=q2[ii][jj];
q2[ii][jj]=q3[ii][jj];
}
if(it%50==0)
sf_warning("Pseudo: it= %d",it);
}/* it loop */
if(isep==1)
{
free(*p3c);
free(*q3c);
free(*sum);
if(ihomo==1)
{
free(*exx);
free(*ezz);
}else{
free(***ex);
free(***ez);
}
}
free(*p1);
free(*p2);
free(*p3);
free(*q1);
free(*q2);
free(*q3);
free(*vp0);
free(*vs0);
free(*epsi);
free(*del);
exit(0);
}