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#include "par.h"
#include "segy.h"
#include <time.h>
#include <stdlib.h>
#include <stdio.h>
#include <math.h>
#include <assert.h>
#include <genfft.h>
int omp_get_max_threads(void);
int omp_get_num_threads(void);
void omp_set_num_threads(int num_threads);
#ifndef MAX
#define MAX(x,y) ((x) > (y) ? (x) : (y))
#endif
#ifndef MIN
#define MIN(x,y) ((x) < (y) ? (x) : (y))
#endif
#define NINT(x) ((int)((x)>0.0?(x)+0.5:(x)-0.5))
#ifndef COMPLEX
typedef struct _complexStruct { /* complex number */
float r,i;
} complex;
#endif/* complex */
int readShotData(char *filename, float *xrcv, float *xsrc, float *zsrc, int *xnx, complex *cdata, int nw, int nw_low, int ngath, int nx, int nxm, int ntfft, int mode, float weight, int verbose);
int readTinvData(char *filename, float *xrcv, float *xsrc, float *zsrc, int *xnx, complex *cdata, int nw, int nw_low, int ngath, int nx, int ntfft, int mode, float *maxval, float *tinv, int hw, int verbose);
int writeDataIter(char *file_iter, float *data, segy *hdrs, int n1, int n2, float d2, float f2, int n2out, int Nsyn, float *xsyn, float *zsyn, int iter);
void name_ext(char *filename, char *extension);
void applyMute( float *data, float *mute, int smooth, int above, int Nsyn, int nxs, int nts, float *xsrc, int *xrcvsyn, int nx, int shift);
int getFileInfo(char *filename, int *n1, int *n2, int *ngath, float *d1, float *d2, float *f1, float *f2, float *xmin, float *xmax, float *sclsxgx, int *nxm);
int readData(FILE *fp, float *data, segy *hdrs, int n1);
int writeData(FILE *fp, float *data, segy *hdrs, int n1, int n2);
int disp_fileinfo(char *file, int n1, int n2, float f1, float f2, float d1, float d2, segy *hdrs);
double wallclock_time(void);
void synthesis(complex *Refl, complex *Fop, float *syndata, int nx, int nt, int nxs, int nts, float dt, float *xsyn, int Nsyn, float *xrcv, float *xsrc, float fxs2, float fxs, float dxs, float dxsrc, float dx, int ixa, int ixb, int ntfft, int nw, int nw_low, int nw_high, int reci, int nshots, int verbose);
void synthesisPosistions(int nx, int nt, int nxs, int nts, float dt, float *xsyn, int Nsyn, float *xrcv, float *xsrc, float fxs2, float fxs, float dxs, float dxsrc, float dx, int ixa, int ixb, int reci, int nshots, int *ixpossyn, int *npossyn, int verbose);
/*********************** self documentation **********************/
char *sdoc[] = {
" ",
" MARCHENKO - Iterative Green's functions retrieval in frequency domain",
" ",
" marchenko file_tinv= file_shot= nshots= [optional parameters]",
" ",
" Required parameters: ",
" ",
" file_tinv= ............... focusing operator(s)",
" file_shot= ............... shot records with Reflection data",
" ",
" Optional parameters: ",
" ",
" SYNTHESIS ",
" ixa=0 .................... number of traces after focus point",
" ixb=ixa .................. number of traces before focus point",
" tap=0 .................... lateral taper focusing(1), shot(2) or both(3)",
" ntap=0 ................... number of taper points at boundaries",
" reci=0 ................... 1; add focusing in emission 2; emission only",
" fmax=70 .................. maximum frequency",
" MARCHENKO ITERATIONS ",
" niter=10 ................. number of iterations",
" MUTE WINDOW ",
" above=0 .................. mute above(1), around(0) or below(-1) the first travel times of file_tinv",
" shift=12 ................. number of points above(positive) / below(negative) travel time for mute",
" hw=8 ..................... window in time samples to look for maximum in next trace",
" smooth=5 ................. number of points to smooth mute with cosine window",
" weight=1 ................. weight factor for summation of muted field with Tinv",
" OUTPUT DEFINITION ",
" file_green= .............. output file with full Green function(s)",
" file_gplus= .............. output file with G+ ",
" file_gmin= ............... output file with G- ",
" file_f1plus= ............. output file with f1+ ",
" file_f1min= .............. output file with f1- ",
" file_pplus= .............. output file with p+ ",
" file_f2= ................. output file with f2 (=p+) ",
" file_pmin= ............... output file with p- ",
" file_iter= ............... output file with N for each iteration",
" verbose=0 ................ silent option; >0 displays info",
" ",
" Note that if ixa=0 and ixb=0 all shots are used.",
" ",
" author : Jan Thorbecke : 2013 (j.w.thorbecke@tudelft.nl)",
" ",
NULL};
/**************** end self doc ***********************************/
int main (int argc, char **argv)
{
FILE *fp_syn, *fp_shot, *fp_out, *fp_f1plus, *fp_f1min;
FILE *fp_gmin, *fp_gplus, *fp_f2, *fp_pmin;
int i, j, k, l, ret, nshots, Nsyn, nt, nx, nts, nxs, more, ngath;
int nf, nw, nw_low, nw_high, nfreq, *xnx, *xnxsyn;
int reci, mode, ixa, ixb, n2out, verbose, ntfft;
int iter, niter, iw, tracf;
int hw, smooth, above, shift, *ixpossyn, npossyn, ix;
float fmin, fmax, df, *tapersh, *tapersy, fxf, dxf, fxs2, *xsrc, *xrcv, *zsyn, *zsrc, *xrcvsyn;
double t0, t1, t2, t3, tsyn, tread, tfft;
float *shotdata, d1, d2, f1, f2, fts, fxs, ft, fx, *xsyn, dxsrc;
float *green, *pplus, *f2p, *pmin, *tinv, *mute, dt, dx, dts, dxs, scl, mem;
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float *f1plus, *f1min, *Nk, *Nk_1, *trace, *Gmin, *Gplus;
float max, scel, xmin, xmax, weight;
complex *Refl, *Fop, *ctrace;
char *file_tinv, *file_shot, *file_green, *file_iter;
char *file_f1plus, *file_f1min, *file_gmin, *file_gplus, *file_f2, *file_pmin;
char number[16], filename[1024];
segy *hdrs, *hdrs_in, *hdrs_out;
initargs(argc, argv);
requestdoc(1);
tsyn = tread = tfft = 0.0;
t0 = wallclock_time();
if (!getparstring("file_shot", &file_shot)) file_shot = NULL;
if (!getparstring("file_tinv", &file_tinv)) file_tinv = NULL;
if (!getparstring("file_f1plus", &file_f1plus)) file_f1plus = NULL;
if (!getparstring("file_f1min", &file_f1min)) file_f1min = NULL;
if (!getparstring("file_gplus", &file_gplus)) file_gplus = NULL;
if (!getparstring("file_gmin", &file_gmin)) file_gmin = NULL;
if (!getparstring("file_pplus", &file_f2)) file_f2 = NULL;
if (!getparstring("file_f2", &file_f2)) file_f2 = NULL;
if (!getparstring("file_pmin", &file_pmin)) file_pmin = NULL;
if (!getparstring("file_iter", &file_iter)) file_iter = NULL;
if (!getparint("verbose", &verbose)) verbose = 0;
if (file_tinv == NULL && file_shot == NULL)
verr("file_tinv and file_shot cannot be both input pipe");
if (!getparstring("file_green", &file_green)) {
if (verbose) vwarn("parameter file_green not found, assume pipe");
file_green = NULL;
}
if (!getparfloat("fmin", &fmin)) fmin = 0.0;
if (!getparfloat("fmax", &fmax)) fmax = 70.0;
if (!getparint("ixa", &ixa)) ixa = 0;
if (!getparint("ixb", &ixb)) ixb = ixa;
if (!getparint("reci", &reci)) reci = 0;
if (!getparfloat("weight", &weight)) weight = 1.0;
if (!getparint("tap", &tap)) tap = 0;
if (!getparint("ntap", &ntap)) ntap = 0;
if(!getparint("niter", &niter)) niter = 10;
if(!getparint("hw", &hw)) hw = 15;
if(!getparint("smooth", &smooth)) smooth = 5;
if(!getparint("above", &above)) above = 0;
if(!getparint("shift", &shift)) shift=12;
if (reci && ntap) vwarn("tapering influences the reciprocal result");
/*================ Reading info about shot and focusing operator sizes ================*/
ngath = 0; /* setting ngath=0 scans all traces; n2 contains maximum traces/gather */
ret = getFileInfo(file_tinv, &n1, &n2, &ngath, &d1, &d2, &f1, &f2, &xmin, &xmax, &scl, &ntraces);
Nsyn = ngath;
nxs = n2;
nts = n1;
dxs = d2; dts = d1;
fxs = f2; fts = f1;
ngath = 0; /* setting ngath=0 scans all traces; nx contains maximum traces/gather */
ret = getFileInfo(file_shot, &nt, &nx, &ngath, &d1, &dx, &ft, &fx, &xmin, &xmax, &scl, &ntraces);
nshots = ngath;
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if (!getparfloat("dt", &dt)) dt = d1;
ntfft = optncr(MAX(nt, nts));
nts = ntfft;
nf = ntfft/2+1;
df = 1.0/(ntfft*dt);
nfreq = ntfft/2+1;
nw_low = (int)MIN((fmin*ntfft*dt), nfreq-1);
nw_low = MAX(nw_low, 1);
nw_high = MIN((int)(fmax*ntfft*dt), nfreq-1);
nw = nw_high - nw_low + 1;
scl = 1.0/((float)ntfft);
/*================ Reading all focusing operator(s) ================*/
Fop = (complex *)malloc(nxs*nw*Nsyn*sizeof(complex));
xrcvsyn = (float *)calloc(Nsyn*nxs,sizeof(float));
xsyn = (float *)malloc(Nsyn*sizeof(float));
zsyn = (float *)malloc(Nsyn*sizeof(float));
tapersy = (float *)malloc(nxs*sizeof(float));
xnxsyn = (int *)calloc(Nsyn,sizeof(int));
green = (float *)calloc(Nsyn*nxs*ntfft,sizeof(float));
f2p = (float *)calloc(Nsyn*nxs*ntfft,sizeof(float));
pmin = (float *)calloc(Nsyn*nxs*ntfft,sizeof(float));
Gmin = (float *)calloc(Nsyn*nxs*ntfft,sizeof(float));
Gplus = (float *)calloc(Nsyn*nxs*ntfft,sizeof(float));
f1plus = (float *)calloc(Nsyn*nxs*ntfft,sizeof(float));
f1min = (float *)calloc(Nsyn*nxs*ntfft,sizeof(float));
Nk = (float *)calloc(Nsyn*nxs*ntfft,sizeof(float));
Nk_1 = (float *)calloc(Nsyn*nxs*ntfft,sizeof(float));
ctrace = (complex *)malloc(ntfft*sizeof(complex));
trace = (float *)malloc(ntfft*sizeof(float));
mute = (float *)calloc(Nsyn*nxs,sizeof(float));
tinv = (float *)malloc(Nsyn*nxs*ntfft*sizeof(float));
ixpossyn = (int *)malloc(nxs*sizeof(int));
/*================ Read and define mute window based on focusing operator(s) ================*/
/* Fop = p_0^+ = G_d (-t) ~ Tinv */
mode=-1; /* apply complex conjugate to read in data */
readTinvData(file_tinv, xrcvsyn, xsyn, zsyn, xnxsyn, Fop, nw, nw_low, Nsyn, nxs, ntfft,
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if (tap == 1 || tap == 3) {
for (j = 0; j < ntap; j++)
tapersy[j] = (cos(PI*(j-ntap)/ntap)+1)/2.0;
for (j = ntap; j < nxs-ntap; j++)
tapersy[j] = 1.0;
for (j = nxs-ntap; j < nxs; j++)
tapersy[j] =(cos(PI*(j-(nxs-ntap))/ntap)+1)/2.0;
}
else {
for (j = 0; j < nxs; j++) tapersy[j] = 1.0;
}
if (tap == 1 || tap == 3) {
if (verbose) vmess("Taper for operator applied ntap=%d", ntap);
for (l = 0; l < Nsyn; l++) {
for (j = 1; j < nw; j++) {
for (i = 0; i < nxs; i++) {
Fop[l*nxs*nw+j*nxs+i].r *= tapersy[i];
Fop[l*nxs*nw+j*nxs+i].i *= tapersy[i];
}
}
}
}
if (xrcvsyn[0] != 0 || xrcvsyn[1] != 0 ) fxs = xrcvsyn[0];
fxs2 = fxs + (float)(nxs-1)*dxs;
dxf = (xrcvsyn[nxs-1] - xrcvsyn[0])/(float)(nxs-1);
if (NINT(dxs*1e3) != NINT(fabs(dxf)*1e3)) {
vmess("dx in hdr.d1 (%.3f) and hdr.gx (%.3f) not equal",d2, dxf);
if (dxf != 0) dxs = fabs(dxf);
vmess("dx in operator => %f", dxs);
}
/*================ Reading shot records ================*/
Refl = (complex *)malloc(nw*nx*nshots*sizeof(complex));
tapersh = (float *)malloc(nx*sizeof(float));
xsrc = (float *)calloc(nshots,sizeof(float));
zsrc = (float *)calloc(nshots,sizeof(float));
xrcv = (float *)calloc(nshots*nx,sizeof(float));
xnx = (int *)calloc(nshots,sizeof(int));
mode=1;
readShotData(file_shot, xrcv, xsrc, zsrc, xnx, Refl, nw, nw_low, ngath, nx, nx, ntfft,
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tapersh = (float *)malloc(nx*sizeof(float));
if (tap == 2 || tap == 3) {
for (j = 0; j < ntap; j++)
tapersh[j] = (cos(PI*(j-ntap)/ntap)+1)/2.0;
for (j = ntap; j < nx-ntap; j++)
tapersh[j] = 1.0;
for (j = nx-ntap; j < nx; j++)
tapersh[j] =(cos(PI*(j-(nx-ntap))/ntap)+1)/2.0;
}
else {
for (j = 0; j < nx; j++) tapersh[j] = 1.0;
}
if (tap == 2 || tap == 3) {
if (verbose) vmess("Taper for shots applied ntap=%d", ntap);
for (l = 0; l < nshots; l++) {
for (j = 1; j < nw; j++) {
for (i = 0; i < nx; i++) {
Refl[l*nx*nw+j*nx+i].r *= tapersh[i];
Refl[l*nx*nw+j*nx+i].i *= tapersh[i];
}
}
}
}
free(tapersh);
fxf = xsrc[0];
if (nx > 1) dxf = (xrcv[0] - xrcv[nx-1])/(float)(nx-1);
else dxf = d2;
if (NINT(dx*1e3) != NINT(fabs(dxf)*1e3)) {
vmess("dx in hdr.d1 (%.3f) and hdr.gx (%.3f) not equal",dx, dxf);
if (dxf != 0) dx = fabs(dxf);
else verr("gx hdrs not set");
vmess("dx used => %f", dx);
}
dxsrc = (float)xsrc[1] - xsrc[0];
if (dxsrc == 0) {
vwarn("sx hdrs are not filled in!!");
dxsrc = dx;
}
/*================ Check the size of the files ================*/
if (NINT(dxsrc/dx)*dx != NINT(dxsrc)) {
vwarn("source (%.2f) and receiver step (%.2f) don't match",dxsrc,dx);
if (reci == 2) vwarn("step used from operator (%.2f) ",dxs);
}
di = NINT(dxf/dxs);
if ((NINT(di*dxs) != NINT(dxf)) && verbose)
vwarn("dx in receiver (%.2f) and operator (%.2f) don't match",dx,dxs);
if (nt != nts)
vmess("Time samples in shot (%d) and focusing operator (%d) are not equal",nt, nts);
if (verbose) {
vmess("Number of focusing operators = %d", Nsyn);
vmess("Number of receivers in focusop = %d", nxs);
vmess("number of shots = %d", nshots);
vmess("number of receiver/shot = %d", nx);
vmess("first model position = %.2f", fxs);
vmess("last model position = %.2f", fxs2);
vmess("first source position fxf = %.2f", fxf);
vmess("source distance dxsrc = %.2f", dxsrc);
vmess("last source position = %.2f", fxf+(nshots-1)*dxsrc);
vmess("receiver distance dxf = %.2f", dxf);
vmess("direction of increasing traces = %d", di);
vmess("number of time samples (ntfft) = %d (%d)", nt, ntfft);
vmess("time sampling = %e ", dt);
if (file_green != NULL) vmess("Green output file = %s ", file_green);
if (file_gmin != NULL) vmess("Gmin output file = %s ", file_gmin);
if (file_gplus != NULL) vmess("Gplus output file = %s ", file_gplus);
if (file_pmin != NULL) vmess("Pmin output file = %s ", file_pmin);
if (file_f2 != NULL) vmess("f2 (=pplus) output file = %s ", file_f2);
if (file_f1min != NULL) vmess("f1min output file = %s ", file_f1min);
if (file_f1plus != NULL)vmess("f1plus output file = %s ", file_f1plus);
if (file_iter != NULL) vmess("Iterations output file = %s ", file_iter);
}
t1 = wallclock_time();
tread = t1-t0;
/*================ initializations ================*/
if (ixa || ixb) n2out = ixa + ixb + 1;
else if (reci) n2out = nxs;
else n2out = nshots;
mem = Nsyn*n2out*ntfft*sizeof(float)/1048576.0;
if (verbose) {
vmess("number of output traces = %d", n2out);
vmess("number of output samples = %d", ntfft);
vmess("Size of output data = %.1f Mb", mem);
}
/* dry-run of synthesis to get all x-positions calcalated by the integration */
synthesisPosistions(nx, nt, nxs, nts, dt, xsyn, Nsyn, xrcv, xsrc, fxs2, fxs,
dxs, dxsrc, dx, ixa, ixb, reci, nshots, ixpossyn, &npossyn, verbose);
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if (verbose) {
vmess("synthesisPosistions: nshots=%d npossyn=%d", nshots, npossyn);
}
/*================ set variables for output data ================*/
n1 = nts; n2 = n2out;
f1 = ft; f2 = fxs+dxs*ixpossyn[0];
d1 = dt;
if (reci == 0) d2 = dxsrc;
else if (reci == 1) d2 = dxs;
else if (reci == 2) d2 = dx;
hdrs_out = (segy *) calloc(n2,sizeof(segy));
if (hdrs_out == NULL) verr("allocation for hdrs_out");
size = nxs*nts;
for (i = 0; i < n2; i++) {
hdrs_out[i].ns = n1;
hdrs_out[i].trid = 1;
hdrs_out[i].dt = dt*1000000;
hdrs_out[i].f1 = f1;
hdrs_out[i].f2 = f2;
hdrs_out[i].d1 = d1;
hdrs_out[i].d2 = d2;
hdrs_out[i].trwf = n2out;
hdrs_out[i].scalco = -1000;
hdrs_out[i].gx = NINT(1000*(f2+i*d2));
hdrs_out[i].scalel = -1000;
hdrs_out[i].tracl = i+1;
}
/*================ number of Marchenko iterations ================*/
for (iter=0; iter<niter; iter++) {
t2 = wallclock_time();
/*================ construction of Nk(-t) = - \int R(x,t) Fop(t) ================*/
synthesis(Refl, Fop, Nk, nx, nt, nxs, nts, dt, xsyn, Nsyn,
xrcv, xsrc, fxs2, fxs, dxs, dxsrc, dx, ixa, ixb, ntfft, nw, nw_low, nw_high,
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/* set Fop to zero, so new operator can be defined within ixpossyn points */
memset(&Fop[0].r, 0, Nsyn*nxs*nw*2*sizeof(float));
if (file_iter != NULL) {
writeDataIter(file_iter, Nk, hdrs_out, ntfft, nxs, d2, f2, n2out, Nsyn, xsyn, zsyn, iter);
}
/* copy initialization value */
if (iter==0) {
/* N_0(t) = M_0(t) = -p0^-(x,-t) = R * T_d^inv */
for (l = 0; l < Nsyn; l++) {
for (i = 0; i < npossyn; i++) {
j = 0;
Nk_1[l*nxs*nts+i*nts+j] = -Nk[l*nxs*nts+i*nts+j];
for (j = 1; j < nts; j++) {
Nk_1[l*nxs*nts+i*nts+j] = -Nk[l*nxs*nts+i*nts+nts-j];
}
}
}
/* p0^- = Int R P0^+ = Nk */
for (l = 0; l < Nsyn; l++) {
for (i = 0; i < npossyn; i++) {
j = 0;
pmin[l*nxs*nts+i*nts+j] = Nk[l*nxs*nts+i*nts+j];
for (j = 1; j < nts; j++) {
pmin[l*nxs*nts+i*nts+j] = Nk[l*nxs*nts+i*nts+j];
}
}
}
applyMute(Nk_1, mute, smooth, above, Nsyn, nxs, nts, xsrc, ixpossyn, npossyn, shift);
/* even iterations: => - f_1^- (-t) = windowed(pmin(t)) */
for (l = 0; l < Nsyn; l++) {
for (i = 0; i < npossyn; i++) {
j = 0;
f1min[l*nxs*nts+i*nts+j] -= Nk_1[l*nxs*nts+i*nts+j];
for (j = 1; j < nts; j++) {
f1min[l*nxs*nts+i*nts+j] -= Nk_1[l*nxs*nts+i*nts+nts-j];
}
}
}
for (l = 0; l < Nsyn; l++) {
for (i = 0; i < npossyn; i++) {
j = 0;
//ix = NINT((xsrc[i]-fxs)/dxs);
ix = ixpossyn[i];
//fprintf(stderr,"i=%d xsrc=%f ix=%d ixpossyn=%d\n", i, xsrc[i], ix, ixpossyn[i]);
f2p[l*nxs*nts+i*nts+j] = tinv[l*nxs*nts+ix*nts+j] + Nk_1[l*nxs*nts+i*nts+j];
for (j = 1; j < nts; j++) {
f2p[l*nxs*nts+i*nts+j] = tinv[l*nxs*nts+ix*nts+j] + Nk_1[l*nxs*nts+i*nts+j];
}
}
}
/* Pressure based scheme */
for (l = 0; l < Nsyn; l++) {
for (i = 0; i < npossyn; i++) {
j=0;
//ix = NINT((xsrc[i]-fxs)/dxs);
ix = ixpossyn[i];
green[l*nxs*nts+i*nts+j] = tinv[l*nxs*nts+ix*nts+j] + pmin[l*nxs*nts+i*nts+j];
for (j = 1; j < nts; j++) {
green[l*nxs*nts+i*nts+j] = tinv[l*nxs*nts+ix*nts+j] + pmin[l*nxs*nts+i*nts+j];
}
}
}
}
else if (iter==1) {
/* Nk_1(x,t) = -\int R(x,t) M_0(x,-t) dxdt*/
for (l = 0; l < Nsyn; l++) {
for (i = 0; i < npossyn; i++) {
j = 0;
Nk_1[l*nxs*nts+i*nts+j] = -Nk[l*nxs*nts+i*nts+j];
for (j = 1; j < nts; j++) {
Nk_1[l*nxs*nts+i*nts+j] = -Nk[l*nxs*nts+i*nts+nts-j];
}
}
}
for (l = 0; l < Nsyn; l++) {
for (i = 0; i < npossyn; i++) {
j = 0;
pmin[l*nxs*nts+i*nts+j] -= Nk_1[l*nxs*nts+i*nts+j];
for (j = 1; j < nts; j++) {
pmin[l*nxs*nts+i*nts+j] -= Nk_1[l*nxs*nts+i*nts+nts-j];
}
}
}
applyMute(Nk_1, mute, smooth, above, Nsyn, nxs, nts, xsrc, ixpossyn, npossyn, shift);
/* Pressure based scheme */
for (l = 0; l < Nsyn; l++) {
for (i = 0; i < npossyn; i++) {
j=0;
green[l*nxs*nts+i*nts+j] = f2p[l*nxs*nts+i*nts+j] + pmin[l*nxs*nts+i*nts+j];
for (j = 1; j < nts; j++) {
green[l*nxs*nts+i*nts+j] = f2p[l*nxs*nts+i*nts+nts-j] + pmin[l*nxs*nts+i*nts+j];
}
}
}
for (l = 0; l < Nsyn; l++) {
for (i = 0; i < npossyn; i++) {
j = 0;
f2p[l*nxs*nts+i*nts+j] += Nk_1[l*nxs*nts+i*nts+j];
for (j = 1; j < nts; j++) {
f2p[l*nxs*nts+i*nts+j] += Nk_1[l*nxs*nts+i*nts+j];
}
}
}
/* odd iterations: M_m^+ */
for (l = 0; l < Nsyn; l++) {
for (i = 0; i < npossyn; i++) {
j = 0;
//ix = NINT((xsrc[i]-fxs)/dxs);
ix = ixpossyn[i];
f1plus[l*nxs*nts+i*nts+j] = tinv[l*nxs*nts+ix*nts+j] + Nk_1[l*nxs*nts+i*nts+j];
for (j = 1; j < nts; j++) {
f1plus[l*nxs*nts+i*nts+j] = tinv[l*nxs*nts+ix*nts+j] + Nk_1[l*nxs*nts+i*nts+j];
}
}
}
}
else {
/* in next iteration use time reversal (and scale with scalar w)*/
/* N_k(x,t) = -N_(k-1)(x,-t) */
for (l = 0; l < Nsyn; l++) {
for (i = 0; i < npossyn; i++) {
j = 0;
Nk_1[l*nxs*nts+i*nts+j] = -Nk[l*nxs*nts+i*nts+j];
for (j = 1; j < nts; j++) {
Nk_1[l*nxs*nts+i*nts+j] = -Nk[l*nxs*nts+i*nts+nts-j];
}
}
}
for (l = 0; l < Nsyn; l++) {
for (i = 0; i < npossyn; i++) {
j = 0;
pmin[l*nxs*nts+i*nts+j] -= Nk_1[l*nxs*nts+i*nts+j];
for (j = 1; j < nts; j++) {
pmin[l*nxs*nts+i*nts+j] -= Nk_1[l*nxs*nts+i*nts+nts-j];
}
}
}
applyMute(Nk_1, mute, smooth, above, Nsyn, nxs, nts, xsrc, ixpossyn, npossyn, shift);
/* compute full Green's function G = p^+(-t) + p^-(t) */
if (iter == niter-1) {
/* Pressure based scheme */
for (l = 0; l < Nsyn; l++) {
for (i = 0; i < npossyn; i++) {
j=0;
green[l*nxs*nts+i*nts+j] = f2p[l*nxs*nts+i*nts+j] + pmin[l*nxs*nts+i*nts+j];
for (j = 1; j < nts; j++) {
green[l*nxs*nts+i*nts+j] = f2p[l*nxs*nts+i*nts+nts-j] + pmin[l*nxs*nts+i*nts+j];
}
}
}
} /* end if for last iteration */
for (l = 0; l < Nsyn; l++) {
for (i = 0; i < npossyn; i++) {
j = 0;
f2p[l*nxs*nts+i*nts+j] += Nk_1[l*nxs*nts+i*nts+j];
for (j = 1; j < nts; j++) {
f2p[l*nxs*nts+i*nts+j] += Nk_1[l*nxs*nts+i*nts+j];
}
}
}
if (iter % 2 == 0) { /* even iterations: => - f_1^- (-t) = pmin(t) */
for (l = 0; l < Nsyn; l++) {
for (i = 0; i < npossyn; i++) {
j = 0;
f1min[l*nxs*nts+i*nts+j] -= Nk_1[l*nxs*nts+i*nts+j];
for (j = 1; j < nts; j++) {
f1min[l*nxs*nts+i*nts+j] -= Nk_1[l*nxs*nts+i*nts+nts-j];
}
}
}
}
else {/* odd iterations: M_m^+ */
for (l = 0; l < Nsyn; l++) {
for (i = 0; i < npossyn; i++) {
j = 0;
f1plus[l*nxs*nts+i*nts+j] += Nk_1[l*nxs*nts+i*nts+j];
for (j = 1; j < nts; j++) {
f1plus[l*nxs*nts+i*nts+j] += Nk_1[l*nxs*nts+i*nts+j];
}
}
}
}
} /* end else (iter!=0) branch */
t3 = wallclock_time();
tsyn += t3 - t2;
/* compute up and downgoing Green's function G^+,- G^+,+ */
/* f1 based scheme */
if (iter == niter-1) {
/* transform f1+ to frequency domain */
for (l = 0; l < Nsyn; l++) {
for (i = 0; i < npossyn; i++) {
for (j = 0; j < nts; j++) {
trace[j] = f1plus[l*nxs*nts+i*nts+j];
}
rc1fft(&trace[0],ctrace,ntfft,-1);
ix = ixpossyn[i];
for (iw=0; iw<nw; iw++) {
Fop[l*nxs*nw+iw*nxs+ix].r = ctrace[nw_low+iw].r;
Fop[l*nxs*nw+iw*nxs+ix].i = ctrace[nw_low+iw].i;
}
}
}
synthesis(Refl, Fop, Nk, nx, nt, nxs, nts, dt, xsyn, Nsyn,
xrcv, xsrc, fxs2, fxs, dxs, dxsrc, dx, ixa, ixb, ntfft, nw, nw_low, nw_high,
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/* compute upgoing Green's G^-,+ */
for (l = 0; l < Nsyn; l++) {
for (i = 0; i < npossyn; i++) {
j=0;
Gmin[l*nxs*nts+i*nts+j] = Nk[l*nxs*nts+i*nts+j] - f1min[l*nxs*nts+i*nts+j];
for (j = 1; j < nts; j++) {
Gmin[l*nxs*nts+i*nts+j] = Nk[l*nxs*nts+i*nts+j] - f1min[l*nxs*nts+i*nts+j];
}
}
}
/* Apply mute with window for Gmin */
applyMute(Gmin, mute, smooth, 1, Nsyn, nxs, nts, xsrc, ixpossyn, npossyn, shift);
/* transform f1- to frequency domain */
for (l = 0; l < Nsyn; l++) {
for (i = 0; i < npossyn; i++) {
for (j = 0; j < nts; j++) {
trace[j] = f1min[l*nxs*nts+i*nts+j];
}
rc1fft(&trace[0],ctrace,ntfft,-1);
ix = ixpossyn[i];
for (iw=0; iw<nw; iw++) {
Fop[l*nxs*nw+iw*nxs+ix].r = ctrace[nw_low+iw].r;
Fop[l*nxs*nw+iw*nxs+ix].i = -ctrace[nw_low+iw].i;
}
}
}
synthesis(Refl, Fop, Nk, nx, nt, nxs, nts, dt, xsyn, Nsyn,
xrcv, xsrc, fxs2, fxs, dxs, dxsrc, dx, ixa, ixb, ntfft, nw, nw_low, nw_high,
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/* compute downgoing Green's G^+,+ */
for (l = 0; l < Nsyn; l++) {
for (i = 0; i < npossyn; i++) {
j=0;
Gplus[l*nxs*nts+i*nts+j] = -Nk[l*nxs*nts+i*nts+j] + f1plus[l*nxs*nts+i*nts+j];
for (j = 1; j < nts; j++) {
Gplus[l*nxs*nts+i*nts+j] = -Nk[l*nxs*nts+i*nts+j] + f1plus[l*nxs*nts+i*nts+nts-j];
}
}
}
} /* end if for last iteration */
/* transform muted Nk_1 to frequency domain */
for (l = 0; l < Nsyn; l++) {
for (i = 0; i < npossyn; i++) {
rc1fft(&Nk_1[l*nxs*nts+i*nts],ctrace,ntfft,-1);
ix = ixpossyn[i];
for (iw=0; iw<nw; iw++) {
Fop[l*nxs*nw+iw*nxs+ix].r = ctrace[nw_low+iw].r;
Fop[l*nxs*nw+iw*nxs+ix].i = ctrace[nw_low+iw].i;
}
}
}
t2 = wallclock_time();
tfft += t2 - t3;
if (verbose) vmess("*** Iteration %d finished ***", iter);
} /* end of iterations */
t2 = wallclock_time();
if (verbose) {
vmess("Total CPU-time marchenko = %.3f", t2-t0);
vmess("with CPU-time synthesis = %.3f", tsyn);
vmess("and CPU-time fft data = %.3f", tfft);
vmess("and CPU-time read data = %.3f", tread);
}
/*================ write output files ================*/
/*
n1 = nts; n2 = n2out;
f1 = ft; f2 = fxs;
d1 = dt;
if (reci == 0) d2 = dxsrc;
else if (reci == 1) d2 = dxs;
else if (reci == 2) d2 = dx;
hdrs_out = (segy *) calloc(n2,sizeof(segy));
if (hdrs_out == NULL) verr("allocation for hdrs_out");
size = nxs*nts;
*/
fp_out = fopen(file_green, "w+");
if (fp_out==NULL) verr("error on creating output file %s", file_green);
if (file_gmin != NULL) {
fp_gmin = fopen(file_gmin, "w+");
if (fp_gmin==NULL) verr("error on creating output file %s", file_gmin);
}
if (file_gplus != NULL) {
fp_gplus = fopen(file_gplus, "w+");
if (fp_gplus==NULL) verr("error on creating output file %s", file_gplus);
}
if (file_f2 != NULL) {
fp_f2 = fopen(file_f2, "w+");
if (fp_f2==NULL) verr("error on creating output file %s", file_f2);
}
if (file_pmin != NULL) {
fp_pmin = fopen(file_pmin, "w+");
if (fp_pmin==NULL) verr("error on creating output file %s", file_pmin);
}
if (file_f1plus != NULL) {
fp_f1plus = fopen(file_f1plus, "w+");
if (fp_f1plus==NULL) verr("error on creating output file %s", file_f1plus);
}
if (file_f1min != NULL) {
fp_f1min = fopen(file_f1min, "w+");
if (fp_f1min==NULL) verr("error on creating output file %s", file_f1min);
}
tracf = 1;
for (l = 0; l < Nsyn; l++) {
if (ixa || ixb) f2 = xsyn[l]-ixb*d2;
else {
if (reci) f2 = fxs;
else f2 = fxf;
}
for (i = 0; i < n2; i++) {
hdrs_out[i].fldr = l+1;
hdrs_out[i].sx = NINT(xsyn[l]*1000);
hdrs_out[i].offset = (long)NINT((f2+i*d2) - xsyn[l]);
hdrs_out[i].tracf = tracf++;
hdrs_out[i].selev = NINT(zsyn[l]*1000);
hdrs_out[i].sdepth = NINT(-zsyn[l]*1000);
}
ret = writeData(fp_out, (float *)&green[l*size], hdrs_out, n1, n2);
if (ret < 0 ) verr("error on writing output file.");
if (file_gmin != NULL) {
ret = writeData(fp_gmin, (float *)&Gmin[l*size], hdrs_out, n1, n2);
if (ret < 0 ) verr("error on writing output file.");
}
if (file_gplus != NULL) {
ret = writeData(fp_gplus, (float *)&Gplus[l*size], hdrs_out, n1, n2);
if (ret < 0 ) verr("error on writing output file.");
}
if (file_f2 != NULL) {
ret = writeData(fp_f2, (float *)&f2p[l*size], hdrs_out, n1, n2);
if (ret < 0 ) verr("error on writing output file.");
}
if (file_pmin != NULL) {
ret = writeData(fp_pmin, (float *)&pmin[l*size], hdrs_out, n1, n2);
if (ret < 0 ) verr("error on writing output file.");
}
if (file_f1plus != NULL) {
/* rotate to get t=0 in the middle */
for (i = 0; i < n2; i++) {
hdrs_out[i].f1 = -n1*0.5*dt;
memcpy(&trace[0],&f1plus[l*size+i*nts],nts*sizeof(float));
for (j = 0; j < n1/2; j++) {
f1plus[l*size+i*nts+n1/2+j] = trace[j];
}
for (j = n1/2; j < n1; j++) {
f1plus[l*size+i*nts+j-n1/2] = trace[j];
}
}
ret = writeData(fp_f1plus, (float *)&f1plus[l*size], hdrs_out, n1, n2);
if (ret < 0 ) verr("error on writing output file.");
}
if (file_f1min != NULL) {
/* rotate to get t=0 in the middle */
for (i = 0; i < n2; i++) {
hdrs_out[i].f1 = -n1*0.5*dt;
memcpy(&trace[0],&f1min[l*size+i*nts],nts*sizeof(float));
for (j = 0; j < n1/2; j++) {
f1min[l*size+i*nts+n1/2+j] = trace[j];
}
for (j = n1/2; j < n1; j++) {
f1min[l*size+i*nts+j-n1/2] = trace[j];
}
}
ret = writeData(fp_f1min, (float *)&f1min[l*size], hdrs_out, n1, n2);
if (ret < 0 ) verr("error on writing output file.");
}
}
ret = fclose(fp_out);
if (file_gplus != NULL) {ret += fclose(fp_gplus);}
if (file_gmin != NULL) {ret += fclose(fp_gmin);}
if (file_f2 != NULL) {ret += fclose(fp_f2);}
if (file_pmin != NULL) {ret += fclose(fp_pmin);}
if (file_f1plus != NULL) {ret += fclose(fp_f1plus);}
if (file_f1min != NULL) {ret += fclose(fp_f1min);}
if (ret < 0) verr("err %d on closing output file",ret);
if (verbose) {
t1 = wallclock_time();
vmess("and CPU-time write data = %.3f", t1-t2);
}
/*================ free memory ================*/
free(hdrs_out);
free(tapersy);
exit(0);
}
void synthesis(complex *Refl, complex *Fop, float *syndata, int nx, int nt, int nxs, int nts, float dt, float *xsyn, int Nsyn, float *xrcv, float *xsrc, float fxs2, float fxs, float dxs, float dxsrc, float dx, int ixa, int ixb, int ntfft, int nw, int nw_low, int nw_high, int reci, int nshots, int verbose)
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{
int nfreq, size, iox, inx;
float scl;
int i, j, l, m, ixsrc, ix, ixrcv, dosrc, k;
float *rdata, *p, **dum, x0, x1;
static double t0, t1, tfft, t;
complex *sum, *cdata, tmp, ts, to;
int npe;
size = nxs*nts;
nfreq = ntfft/2+1;
/* scale factor 1/N for backward FFT,
* scale dt for correlation/convolution along time,
* scale dx (or dxsrc) for integration over receiver (or shot) coordinates */
scl = 1.0*dt/((float)ntfft);
t0 = wallclock_time();
/* reset output data to zero */
memset(&syndata[0], 0, Nsyn*nxs*nts*sizeof(float));
for (k=0; k<nshots; k++) {
ixsrc = NINT((xsrc[k] - fxs)/dxs);
/* if (verbose>=3) {
vmess("source position: %.2f in operator %d", xsrc[k], ixsrc);
vmess("receiver positions: %.2f <--> %.2f", xrcv[k*nx+0], xrcv[k*nx+nx-1]);
}
*/
if ((NINT(xsrc[k]-fxs2) > 0) || (NINT(xrcv[k*nx+nx-1]-fxs2) > 0) ||
(NINT(xrcv[k*nx+nx-1]-fxs) < 0) || (NINT(xsrc[k]-fxs) < 0) ||
(NINT(xrcv[k*nx+0]-fxs) < 0) || (NINT(xrcv[k*nx+0]-fxs2) > 0) ) {
vwarn("source/receiver positions are outside synthesis model");
vwarn("integration calculation is stopped at gather %d", k);
vmess("xsrc = %.2f xrcv_1 = %.2f xrvc_N = %.2f", xsrc[k], xrcv[k*nx+0], xrcv[k*nx+nx-1]);
break;
}
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/*================ SYNTHESIS ================*/
#ifdef _OPENMP
npe = omp_get_max_threads();
/* parallelisation is over number of virtual source positions (Nsyn) */
if (npe > Nsyn) {
vmess("Number of OpenMP threads set to %d (was %d)", Nsyn, npe);
omp_set_num_threads(Nsyn);
}
#endif
#pragma omp parallel default(none) \
shared(syndata, dx, npe, nw, verbose) \
shared(Refl, Nsyn, reci, xrcv, xsrc, xsyn, fxs, nxs, dxs) \
shared(nx, ixa, ixb, dxsrc, iox, inx, k, nfreq, nw_low, nw_high) \
shared(Fop, size, nts, ntfft, scl, ixsrc, stderr) \
private(l, x0, x1, ix, dosrc, j, m, i, ixrcv, sum, rdata, tmp, ts, to)
{ /* start of parallel region */
sum = (complex *)malloc(nfreq*sizeof(complex));
rdata = (float *)calloc(ntfft,sizeof(float));
#pragma omp for
for (l = 0; l < Nsyn; l++) {
/*
if (ixa || ixb) {
if (reci == 0) {
x0 = xsyn[l]-ixb*dxsrc;
x1 = xsyn[l]+ixa*dxsrc;
if ((xsrc[k] < x0) || (xsrc[k] > x1)) continue;
ix = NINT((xsrc[k]-x0)/dxsrc);
dosrc = 1;
}
else if (reci == 1) {
x0 = xsyn[l]-ixb*dxs;
x1 = xsyn[l]+ixa*dxs;
if (((xsrc[k] < x0) || (xsrc[k] > x1)) &&
(xrcv[k*nx+0] < x0) && (xrcv[k*nx+nx-1] < x0)) continue;
if (((xsrc[k] < x0) || (xsrc[k] > x1)) &&
(xrcv[k*nx+0] > x1) && (xrcv[k*nx+nx-1] > x1)) continue;
if ((xsrc[k] < x0) || (xsrc[k] > x1)) dosrc = 0;
else dosrc = 1;
ix = NINT((xsrc[k]-x0)/dxs);
}
else if (reci == 2) {
if (NINT(dxsrc/dx)*dx != NINT(dxsrc)) dx = dxs;
x0 = xsyn[l]-ixb*dx;
x1 = xsyn[l]+ixa*dx;
if ((xrcv[k*nx+0] < x0) && (xrcv[k*nx+nx-1] < x0)) continue;
if ((xrcv[k*nx+0] > x1) && (xrcv[k*nx+nx-1] > x1)) continue;
}
}
else {
*/
ix = k;
x0 = fxs;
x1 = fxs+dxs*nxs;
dosrc = 1;
// }
// if (reci == 1 && dosrc) ix = NINT((xsrc[k]-x0)/dxs);
// if (reci < 2 && dosrc) {
for (j = 0; j < nfreq; j++) sum[j].r = sum[j].i = 0.0;
for (j = nw_low, m = 0; j <= nw_high; j++, m++) {
for (i = iox; i < inx; i++) {
ixrcv = NINT((xrcv[k*nx+i]-fxs)/dxs);
tmp = Fop[l*nw*nxs+m*nxs+ixrcv];
sum[j].r += Refl[k*nw*nx+m*nx+i].r*tmp.r -
Refl[k*nw*nx+m*nx+i].i*tmp.i;
sum[j].i += Refl[k*nw*nx+m*nx+i].i*tmp.r +
Refl[k*nw*nx+m*nx+i].r*tmp.i;
}
}
#pragma omp critical
{
cr1fft(sum, rdata, ntfft, 1);
}
// fprintf(stderr,"synthesis[%d] = %d ix=%d\n", k, ixsrc, ix);
/* dx = receiver distance */
for (j = 0; j < nts; j++)
syndata[l*size+ix*nts+j] += rdata[j]*scl*dx;
// }
/*
if (reci == 1 || reci == 2) {
for (j = 0; j < nfreq; j++) sum[j].r = sum[j].i = 0.0;
for (i = iox; i < inx; i++) {
if ((xrcv[k*nx+i] < x0) || (xrcv[k*nx+i] > x1)) continue;
if (reci == 1) ix = NINT((xrcv[k*nx+i]-x0)/dxs);
else ix = NINT((xrcv[k*nx+i]-x0)/dx);
for (j = nw_low, m = 0; j < nw_high; j++, m++) {
tmp = Fop[l*nw*nxs+m*nxs+ixsrc];
sum[j].r = Refl[k*nw*nx+m*nx+i].r*tmp.r -
Refl[k*nw*nx+m*nx+i].i*tmp.i;
sum[j].i = Refl[k*nw*nx+m*nx+i].i*tmp.r +
Refl[k*nw*nx+m*nx+i].r*tmp.i;
}
#pragma omp critical
{
cr1fft(sum, rdata, ntfft, 1);
}
// dxsrc = source distance
for (j = 0; j < nts; j++)
syndata[l*size+ix*nts+j] += rdata[j]*scl*dxsrc;
}
}
*/
} /* end of parallel Nsyn loop */
free(sum);
free(rdata);
#pragma omp single
{
#ifdef _OPENMP
npe = omp_get_num_threads();
#endif
}
} /* end of parallel region */
if (verbose>3) vmess("*** Shot gather %d processed ***", k);
} /* end of nshots (k) loop */
t = wallclock_time() - t0;
if (verbose) {
vmess("OMP: parallel region = %f seconds (%d threads)", t, npe);
}
return;
}
void synthesisPosistions(int nx, int nt, int nxs, int nts, float dt, float *xsyn, int Nsyn, float *xrcv, float *xsrc, float fxs2, float fxs, float dxs, float dxsrc, float dx, int ixa, int ixb, int reci, int nshots, int *ixpossyn, int *npossyn, int verbose)
{
int nfreq, size, iox, inx;
float scl;
int i, j, l, m, ixsrc, ix, ixrcv, dosrc, k;
float *rdata, *p, **dum, x0, x1;
static double t0, t1, tfft, t;
complex *sum, *cdata, tmp, ts, to;
int npe;