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Manacoustic_inversion_SA.c
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Manacoustic_inversion_SA.c
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/* Inverse Vp, Rou & Qp Using Simulated Annealing Method************* */
/**********************************************************************
INPUT DATA: seismic data: data[nsita][nt];
wavelet[];
OUTPUT DATA: inversed parameters: Vp[nt+1], rou[nt+1] , Qp[nt+1],
Program developed by: Heng Luo in SINOPEC, 2014/07/25
Gm=d
***********************************************************************/
#include <rsf.h>
#include "lh_mp.h"
#include "su_alloc.h"
#include "lh_readwrite.h"
#include "lh_wavelet.h"
#include "lh_bayesian.h"
#include "lh_LSCG.h"
#include <time.h>
struct wave_project
{
float *wavelet;
float k;
float intercept;
float energy;
float *correlation;
};
float SA_Obj( float **G , float *m , float *d , float *m_prior, float *lamda , int row , int column )
{
float obj_value=0.;
float *Gm, *Gm_d, *m_m_prior;
int i;
Gm = alloc1float( row );
Gm_d = alloc1float( row );
m_m_prior = alloc1float( column );
zero1float( Gm , row );
zero1float( Gm_d , row );
zero1float( m_m_prior , column );
lh_matrix_mu_vector( G , m , Gm , row , column );
lh_vector_sub_vector( Gm , d , Gm_d , row );
lh_vector_sub_vector( m , m_prior , m_m_prior , column );
for( i=0 ; i<row ; i++ )
obj_value+=Gm_d[i]*Gm_d[i];
for( i=0 ; i<column ; i++ )
obj_value+=m_m_prior[i]*m_m_prior[i]*lamda[i];
free1float( Gm );
free1float( Gm_d );
free1float( m_m_prior );
return obj_value;
}
int main( int argc , char* argv[] )
{
sf_init( argc , argv );
int nfft=512, nt=98 , i , it , iw , j, nfre=nfft/2+1, nsita=40, isita , sita, dsita=1.*SF_PI/180.;
float amp=10. , fm=50. , t0=0.08, w0=30., dt=0.002;
float dfre=1.0/(dt*nfft), fre_value;
float **trace, **logdata, *vp, *rou, *Qp, *initial_vp, *initial_rou, *initial_qp;
float **Atoms, **Atoms_sub, **L, **G, *lamda, *d;
float *wavelet_E, *wavelet_Q, *MP_RVF_rvf , *MP_RVF_wave_rm , *MP_RVF_wave_im;
float *m_prior;
float *SA_down_limit, *SA_up_limit;
int iMarkov, NMarkov=500;
float SA_DecayScale=0.95;
float SA_Temperature=1000;
float *SA_PreSolution, *SA_NextSolution;
float *SA_PreBestSolution, *SA_BestSolution;
int SA_AcceptPoint=0;
float SA_Tolerance=0.00001;
float SA_StepFactor=0.2;
// srand( (int)time(0) );
SA_down_limit = alloc1float( 3*(nt+1) );
SA_up_limit = alloc1float( 3*(nt+1) );
SA_PreSolution = alloc1float( 3*(nt+1) );
SA_NextSolution = alloc1float( 3*(nt+1) );
SA_PreBestSolution = alloc1float( 3*(nt+1) );
SA_BestSolution = alloc1float( 3*(nt+1) );
m_prior = alloc1float( 3*(nt+1) );
wavelet_E = alloc1float( nfft );
wavelet_Q = alloc1float( nfft );
MP_RVF_rvf = alloc1float( nfft );
MP_RVF_wave_rm = alloc1float( nfft );
MP_RVF_wave_im = alloc1float( nfft );
Atoms_sub = alloc2float( 2*nt , nt );
Atoms = alloc2float( 2*nt*nsita , nt*nsita );
L = alloc2float( 3*(nt+1) , 2*nt*nsita );
G = alloc2float( 3*(nt+1) , nt*nsita );
d = alloc1float( nsita*nt );
lamda = alloc1float( 3*(nt+1) );
initial_vp = alloc1float( nt+1 );
initial_rou = alloc1float( nt+1 );
initial_qp = alloc1float( nt+1 );
zero1float( SA_down_limit , 3*(nt+1) );
zero1float( SA_up_limit , 3*(nt+1) );
zero1float( SA_PreSolution , 3*(nt+1) );
zero1float( SA_NextSolution , 3*(nt+1) );
zero1float( SA_PreBestSolution , 3*(nt+1) );
zero1float( SA_BestSolution , 3*(nt+1) );
zero1float( m_prior , 3*(nt+1) );
zero1float( wavelet_E , nfft );
zero1float( wavelet_Q , nfft );
zero1float( MP_RVF_rvf , nfft );
zero1float( MP_RVF_wave_rm , nfft );
zero1float( MP_RVF_wave_im , nfft );
zero2float( Atoms_sub , 2*nt , nt );
zero2float( Atoms , 2*nt*nsita , nt*nsita );
zero2float( L , 3*(nt+1) , 2*nt*nsita );
zero2float( G , 3*(nt+1) , nt*nsita );
zero1float( d , nsita*nt );
zero1float( lamda , 3*(nt+1) );
zero1float( initial_vp , nt+1 );
zero1float( initial_rou , nt+1 );
zero1float( initial_qp , nt+1 );
logdata = alloc2float( nt+1 , 6 );
trace = alloc2float( nt , 40 );
vp = alloc1float( nt+1 );
rou = alloc1float( nt+1 );
Qp = alloc1float( nt+1 );
zero2float( logdata , nt+1 , 6 );
zero2float( trace , nt , 40 );
zero1float( vp , nt+1 );
zero1float( rou , nt+1 );
zero1float( Qp , nt+1 );
lh_read_2d_float_bin( logdata , 6 , nt+1 , "/home/Pitaloveu/DeskTop/log_viscoelastic_resampling.bin");
lh_read_2d_float_bin( trace , 40 , nt , "/var/tmp/anacoustic_trace.rsf@" );
for( i=0 ; i<nt+1 ; i++ )
{
vp[i] = log(logdata[1][i]);
rou[i]= log(logdata[3][i]);
Qp[i] = logdata[4][i];
}
lh_write_1d_float_bin( vp , (nt+1) , "vp.bin" );
lh_write_1d_float_bin( rou, (nt+1) , "rou.bin" );
lh_write_1d_float_bin( Qp , (nt+1) , "Qp.bin" );
for( isita=0 ; isita<nsita ; isita++ )
for( it=0 ; it<nt ; it++ )
d[isita*nt+it] = trace[isita][it];
lh_read_1d_float_bin( initial_qp , nt+1 , "qp_smooth.bin" );
lh_read_1d_float_bin( initial_vp , nt+1 , "vp_smooth.bin" );
lh_read_1d_float_bin( initial_rou , nt+1 , "rou_smooth.bin" );
for( it=0 ; it<nt+1 ; it++ )
{
// m_prior[it] = initial_vp[it];
// m_prior[nt+1+it] = initial_rou[it];
// m_prior[2*nt+2+it] = initial_qp[it];
m_prior[it] = vp[it];
m_prior[nt+1+it] = rou[it];
m_prior[2*nt+2+it] = Qp[it];
}
lh_ricker( wavelet_E , amp , nfft , dt , fm , t0 );
for( iw=0,fre_value=0. ; iw<nfre ; iw++,fre_value+= dfre )
{
if( iw==0 )
MP_RVF_rvf[0] = 0;
else if( iw>0 && iw<nfre-1 )
{
MP_RVF_rvf[iw] = log(fre_value/w0);
MP_RVF_rvf[nfft-iw] = MP_RVF_rvf[iw];
}
else
MP_RVF_rvf[iw] = log(fre_value/w0);
}
for( it=0 ; it<nfft ; it++ )
{
MP_RVF_wave_rm[it] = wavelet_E[it];
}
lh_fft( MP_RVF_wave_rm , MP_RVF_wave_im , nfft , 1 );
for( iw=0 ; iw<nfft ; iw++ )
{
MP_RVF_wave_rm[iw] = MP_RVF_wave_rm[iw]*MP_RVF_rvf[iw];
MP_RVF_wave_im[iw] = MP_RVF_wave_im[iw]*MP_RVF_rvf[iw];
}
lh_fft( MP_RVF_wave_rm , MP_RVF_wave_im , nfft , -1 );
for( it=0 ; it<nfft ; it++ )
{
wavelet_Q[it] = MP_RVF_wave_rm[it];
}
for( isita=0 ,sita=0 ; isita<nsita ; isita++ ,sita+=dsita )
for( it=0 ; it<nt ; it++ )
{
L[isita*2*nt+it][it] = -0.5/( cos(sita)*cos(sita) );
L[isita*2*nt+it][it+1] = 0.5/( cos(sita)*cos(sita) );
L[isita*2*nt+it][nt+1+it] = -0.5;
L[isita*2*nt+it][nt+1+it+1] = 0.5;
L[isita*2*nt+nt+it][2*nt+2+it] = -0.5/( cos(sita)*cos(sita)*SF_PI );
L[isita*2*nt+nt+it][2*nt+2+it+1] = 0.5/( cos(sita)*cos(sita)*SF_PI );
}
lh_shift_array( wavelet_E , nfft , (int)(t0/dt+0.5) );
lh_shift_array( wavelet_Q , nfft , (int)(t0/dt+0.5) );
for( i=0 ; i<nt ; i++ )
{
for( j=0 ; j<nt ; j++ )
{
Atoms_sub[j][i] = wavelet_E[j];
Atoms_sub[j][nt+i] = wavelet_Q[j];
}
lh_shift_array( wavelet_E , nfft , -1 );
lh_shift_array( wavelet_Q , nfft , -1 );
}
for( isita=0 ; isita<nsita ; isita++ )
for( i=0 ; i<nt ; i++ )
for( j=0 ; j<2*nt ; j++ )
Atoms[isita*nt+i][isita*2*nt+j] = Atoms_sub[i][j];
lh_matrix_mu_matrix( Atoms , L , G , nt*nsita , 2*nt*nsita , 3*(nt+1) );
for( i=0 ; i<nt+1 ; i++ )
{
SA_down_limit[i] = m_prior[i]-0.1;
SA_up_limit[i] = m_prior[i]+0.1;
SA_down_limit[nt+1+i] = m_prior[nt+1+i]-0.02;
SA_up_limit[nt+1+i] = m_prior[nt+1+i]+0.02;
SA_down_limit[2*nt+2+i] = m_prior[2*nt+2+i]-0.04;
SA_up_limit[2*nt+2+i] = m_prior[2*nt+2+i]+0.04;
}
lh_write_1d_float_bin( SA_down_limit , nt+1 , "vp_down_limit.bin" );
lh_write_1d_float_bin( SA_up_limit , nt+1 , "vp_up_limit.bin" );
lh_write_1d_float_bin( &SA_down_limit[nt+1] , nt+1 , "rou_down_limit.bin" );
lh_write_1d_float_bin( &SA_up_limit[nt+1] , nt+1 , "rou_up_limit.bin" );
lh_write_1d_float_bin( &SA_down_limit[2*nt+2] , nt+1 , "qp_down_limit.bin" );
lh_write_1d_float_bin( &SA_up_limit[2*nt+2] , nt+1 , "qp_up_limit.bin" );
/*
for( i=0 ; i<nt+1 ; i++ )
{
SA_down_limit[i] = 8.2;
SA_down_limit[nt+1+i] = 7.75;
SA_down_limit[2*nt+2+i] = 0.;
SA_up_limit[i] = 8.6;
SA_up_limit[nt+1+i] = 7.9;
SA_up_limit[2*nt+2+i] = 0.12;
}
*/
for( i=0 ; i<3*(nt+1) ; i++ )
{
SA_PreSolution[i] = ( SA_up_limit[i]+SA_down_limit[i] )/2.+(rand()/(RAND_MAX+1.0)-0.5)*( SA_up_limit[i]-SA_down_limit[i] );
SA_PreBestSolution[i] = SA_PreSolution[i];
SA_BestSolution[i] = SA_PreSolution[i];
}
for( i=0 ; i<3*(nt+1) ; i++ )
{
lamda[i] = 1./pow( (SA_up_limit[i]+SA_down_limit[i])/2. , 2. );
}
do
{
SA_Temperature *= SA_DecayScale;
printf( "Temperature=%f\n" , SA_Temperature );
printf( "AcceptPoint=%d\n" , SA_AcceptPoint );
for( iMarkov=0 ; iMarkov<NMarkov ; iMarkov++ )
{
srand( (int)time(0)+iMarkov );
if( iMarkov%100==0 )
printf( "iMarkov=%d\n" , iMarkov );
for( i=0 ; i<3*(nt+1) ; i++ )
{
do
SA_NextSolution[i] = SA_PreSolution[i] + (rand()/(RAND_MAX+1.0)-0.5)*SA_StepFactor*( SA_up_limit[i]-SA_down_limit[i] );
while( !(SA_NextSolution[i]>=SA_down_limit[i] && SA_NextSolution[i]<=SA_up_limit[i]) );
}
if( SA_Obj( G , SA_NextSolution , d , m_prior , lamda , nt*nsita , 3*(nt+1) )
<SA_Obj( G , SA_BestSolution , d , m_prior , lamda , nt*nsita , 3*(nt+1) ) )
{
for( i=0 ; i<3*(nt+1) ; i++ )
{
SA_PreBestSolution[i] = SA_BestSolution[i];
SA_BestSolution[i] = SA_NextSolution[i];
}
}
/* MetroPolis Procedure */
if( SA_Obj( G , SA_NextSolution , d , m_prior , lamda , nt*nsita , 3*(nt+1) )
<SA_Obj( G , SA_PreSolution , d , m_prior , lamda , nt*nsita , 3*(nt+1) ) )
{
for( i=0 ; i<3*(nt+1) ; i++ )
{
SA_PreSolution[i] = SA_NextSolution[i];
}
SA_AcceptPoint++;
}
else
{
if( (exp((-1.*(SA_Obj( G , SA_NextSolution , d , m_prior , lamda , nt*nsita , 3*(nt+1) )-
SA_Obj( G , SA_PreSolution , d , m_prior , lamda , nt*nsita , 3*(nt+1) )))/SA_Temperature))>(rand()/(RAND_MAX+1.0)) )
{
for( i=0 ; i<3*(nt+1) ; i++ )
{
SA_PreSolution[i] = SA_NextSolution[i];
}
SA_AcceptPoint++;
}
}
}
lh_write_1d_float_bin( &SA_BestSolution[0] , (nt+1) , "vp_inversed.bin" );
lh_write_1d_float_bin( &SA_BestSolution[nt+1] , (nt+1) , "rou_inversed.bin" );
lh_write_1d_float_bin( &SA_BestSolution[2*nt+2] , (nt+1) , "qp_inversed.bin" );
}
while( fabs((SA_Obj( G , SA_BestSolution , d , m_prior , lamda , nt*nsita , 3*(nt+1) )-
SA_Obj( G , SA_PreBestSolution , d , m_prior , lamda , nt*nsita , 3*(nt+1) ))/(
SA_Obj( G , SA_PreBestSolution , d , m_prior , lamda , nt*nsita , 3*(nt+1) )))>SA_Tolerance );
lh_write_1d_float_bin( &SA_BestSolution[0] , (nt+1) , "vp_inversed.bin" );
lh_write_1d_float_bin( &SA_BestSolution[nt+1] , (nt+1) , "rou_inversed.bin" );
lh_write_1d_float_bin( &SA_BestSolution[2*nt+2] , (nt+1) , "qp_inversed.bin" );
exit(0);
}