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Mewefd2d_omp.c
616 lines (505 loc) · 18.2 KB
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Mewefd2d_omp.c
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/* 2D elastic time-domain FD modeling */
/*
Copyright (C) 2008 Colorado School of Mines
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>
#ifdef _OPENMP
#include <omp.h>
#endif
#include "fdutil.h"
#define NOP 4 /* derivative operator half-size */
/* Muir's derivative operator */
/*#define C1 +0.598144 */
/* 1225/ 1024 /2 */
/*#define C2 -0.039876 */
/* -1225/(1024* 15)/2 */
/*#define C3 +0.004785 */
/* 1225/(1024* 125)/2 */
/*#define C4 -0.000348 */
/* -1225/(1024*1715)/2 */
/* forward FD derivative stencils */
/*#define Fx(a,ix,iz,s) (C4*(a[ix+4][iz ] - a[ix-3][iz ]) + \*/
/* C3*(a[ix+3][iz ] - a[ix-2][iz ]) + \*/
/* C2*(a[ix+2][iz ] - a[ix-1][iz ]) + \*/
/* C1*(a[ix+1][iz ] - a[ix ][iz ]) )*s*/
/*#define Fz(a,ix,iz,s) (C4*(a[ix ][iz+4] - a[ix ][iz-3]) + \*/
/* C3*(a[ix ][iz+3] - a[ix ][iz-2]) + \*/
/* C2*(a[ix ][iz+2] - a[ix ][iz-1]) + \*/
/* C1*(a[ix ][iz+1] - a[ix ][iz ]) )*s*/
/* backward FD derivative stencils */
/*#define Bx(a,ix,iz,s) (C4*(a[ix+3][iz ] - a[ix-4][iz ]) + \*/
/* C3*(a[ix+2][iz ] - a[ix-3][iz ]) + \*/
/* C2*(a[ix+1][iz ] - a[ix-2][iz ]) + \*/
/* C1*(a[ix ][iz ] - a[ix-1][iz ]) )*s*/
/*#define Bz(a,ix,iz,s) (C4*(a[ix ][iz+3] - a[ix ][iz-4]) + \*/
/* C3*(a[ix ][iz+2] - a[ix ][iz-3]) + \*/
/* C2*(a[ix ][iz+1] - a[ix ][iz-2]) + \*/
/* C1*(a[ix ][iz ] - a[ix ][iz-1]) )*s*/
/*------------------------------------------------------------*/
/* CENTERED derivatives */
/* #define C1 +0.800000 +4/5 */
/* #define C2 -0.200000 -1/5 */
/* #define C3 +0.038095 +4/105 */
/* #define C4 -0.003571 -5/280 */
#define C1 4.0f/5.0f
#define C2 -1.0f/5.0f
#define C3 4.0f/105.0f
#define C4 -1.0f/280.0f
#define Dx(a,ix,iz,s) (C4*(a[ix+4][iz] - a[ix-4][iz]) + \
C3*(a[ix+3][iz] - a[ix-3][iz]) + \
C2*(a[ix+2][iz] - a[ix-2][iz]) + \
C1*(a[ix+1][iz] - a[ix-1][iz]) )*s
#define Dz(a,ix,iz,s) (C4*(a[ix][iz+4] - a[ix][iz-4]) + \
C3*(a[ix][iz+3] - a[ix][iz-3]) + \
C2*(a[ix][iz+2] - a[ix][iz-2]) + \
C1*(a[ix][iz+1] - a[ix][iz-1]) )*s
int main(int argc, char* argv[])
{
bool verb,fsrf,snap,ssou,dabc,opot;
int jsnap,ntsnap,jdata;
/* I/O files */
sf_file Fwav=NULL; /* wavelet */
sf_file Fsou=NULL; /* sources */
sf_file Frec=NULL; /* receivers */
sf_file Fccc=NULL; /* velocity */
sf_file Fden=NULL; /* density */
sf_file Fdat=NULL; /* data */
sf_file Fwfl=NULL; /* wavefield */
/* cube axes */
sf_axis at,ax,az;
sf_axis as,ar,ac;
int nt,nz,nx,ns,nr,nc,nb;
int it,iz,ix;
float dt,dz,dx,idz,idx;
/* FDM structure */
fdm2d fdm=NULL;
/* abcone2d abcp=NULL; */
abcone2d abcs=NULL;
sponge spo=NULL;
/* I/O arrays */
float***ww=NULL; /* wavelet */
pt2d *ss=NULL; /* sources */
pt2d *rr=NULL; /* receivers */
float **dd=NULL; /* data */
/*------------------------------------------------------------*/
float **tt=NULL;
float **ro=NULL; /* density */
/* orthorombic footprint - 4 coefficients */
/* c11 c13
. c33
c55 */
float **c11=NULL;
float **c33=NULL;
float **c55=NULL;
float **c13=NULL;
/* float **vp=NULL; */
float **vs=NULL;
float **qp=NULL,**qs=NULL;
/*------------------------------------------------------------*/
/* displacement: um = U @ t-1; uo = U @ t; up = U @ t+1 */
float **umz,**uoz,**upz,**uaz,**utz;
float **umx,**uox,**upx,**uax,**utx;
/* stress/strain tensor */
float **tzz,**tzx,**txx;
float szz, szx, sxx;
/*------------------------------------------------------------*/
/* linear interpolation weights/indices */
lint2d cs,cr;
/* Gaussian bell */
int nbell;
/* wavefield cut params */
sf_axis acz=NULL,acx=NULL;
int nqz,nqx;
float oqz,oqx;
float dqz,dqx;
float **uc=NULL;
/*------------------------------------------------------------*/
/* init RSF */
sf_init(argc,argv);
/*------------------------------------------------------------*/
/* OMP parameters */
#ifdef _OPENMP
omp_init();
#endif
/*------------------------------------------------------------*/
/*------------------------------------------------------------*/
/* execution flags */
if(! sf_getbool("verb",&verb)) verb=false; /* verbosity flag */
if(! sf_getbool("snap",&snap)) snap=false; /* wavefield snapshots flag */
if(! sf_getbool("free",&fsrf)) fsrf=false; /* free surface flag */
if(! sf_getbool("ssou",&ssou)) ssou=false; /* stress source */
if(! sf_getbool("dabc",&dabc)) dabc=false; /* absorbing BC */
if(! sf_getbool("opot",&opot)) opot=false; /* output potentials */
/*------------------------------------------------------------*/
/*------------------------------------------------------------*/
/* I/O files */
Fwav = sf_input ("in" ); /* wavelet */
Fccc = sf_input ("ccc"); /* stiffness */
Fden = sf_input ("den"); /* density */
Fsou = sf_input ("sou"); /* sources */
Frec = sf_input ("rec"); /* receivers */
Fdat = sf_output("out"); /* data */
if(snap)
Fwfl = sf_output("wfl"); /* wavefield */
/*------------------------------------------------------------*/
/*------------------------------------------------------------*/
/* axes */
at = sf_iaxa(Fwav,3); sf_setlabel(at,"t"); if(verb) sf_raxa(at); /* time */
az = sf_iaxa(Fccc,1); sf_setlabel(az,"z"); if(verb) sf_raxa(az); /* depth */
ax = sf_iaxa(Fccc,2); sf_setlabel(ax,"x"); if(verb) sf_raxa(ax); /* space */
as = sf_iaxa(Fsou,2); sf_setlabel(as,"s"); if(verb) sf_raxa(as); /* sources */
ar = sf_iaxa(Frec,2); sf_setlabel(ar,"r"); if(verb) sf_raxa(ar); /* receivers */
nt = sf_n(at); dt = sf_d(at);
nz = sf_n(az); dz = sf_d(az);
nx = sf_n(ax); dx = sf_d(ax);
ns = sf_n(as);
nr = sf_n(ar);
/*------------------------------------------------------------*/
/*------------------------------------------------------------*/
/* other execution parameters */
if(! sf_getint("nbell",&nbell)) nbell=5; /* bell size */
if(verb) sf_warning("nbell=%d",nbell);
if(! sf_getint("jdata",&jdata)) jdata=1;
if(snap) { /* save wavefield every *jsnap* time steps */
if(! sf_getint("jsnap",&jsnap)) jsnap=nt;
}
/*------------------------------------------------------------*/
/*------------------------------------------------------------*/
/* expand domain for FD operators and ABC */
if( !sf_getint("nb",&nb) || nb<NOP) nb=NOP;
fdm=fdutil_init(verb,fsrf,az,ax,nb,1);
fdbell_init(nbell);
sf_setn(az,fdm->nzpad); sf_seto(az,fdm->ozpad); if(verb) sf_raxa(az);
sf_setn(ax,fdm->nxpad); sf_seto(ax,fdm->oxpad); if(verb) sf_raxa(ax);
/*------------------------------------------------------------*/
/* 2D vector components */
nc=2;
ac=sf_maxa(nc,0,1);
/*------------------------------------------------------------*/
/* setup output data header */
sf_oaxa(Fdat,ar,1);
sf_oaxa(Fdat,ac,2);
sf_setn(at,nt/jdata);
sf_setd(at,dt*jdata);
sf_oaxa(Fdat,at,3);
/* setup output wavefield header */
if(snap) {
if(!sf_getint ("nqz",&nqz)) nqz=sf_n(az);
if(!sf_getint ("nqx",&nqx)) nqx=sf_n(ax);
if(!sf_getfloat("oqz",&oqz)) oqz=sf_o(az);
if(!sf_getfloat("oqx",&oqx)) oqx=sf_o(ax);
dqz=sf_d(az);
dqx=sf_d(ax);
acz = sf_maxa(nqz,oqz,dqz); sf_raxa(acz);
acx = sf_maxa(nqx,oqx,dqx); sf_raxa(acx);
/* TODO: check if the imaging window fits in the wavefield domain */
uc=sf_floatalloc2(sf_n(acz),sf_n(acx));
ntsnap=0;
for(it=0; it<nt; it++) {
if(it%jsnap==0) ntsnap++;
}
sf_setn(at, ntsnap);
sf_setd(at,dt*jsnap);
if(verb) sf_raxa(at);
sf_oaxa(Fwfl,acz,1);
sf_oaxa(Fwfl,acx,2);
sf_oaxa(Fwfl,ac, 3);
sf_oaxa(Fwfl,at, 4);
}
/*------------------------------------------------------------*/
/* source array */
ww=sf_floatalloc3(ns,nc,nt);
sf_floatread(ww[0][0],nt*nc*ns,Fwav);
/* data array */
dd=sf_floatalloc2(nr,nc);
/*------------------------------------------------------------*/
/* setup source/receiver coordinates */
ss = (pt2d*) sf_alloc(ns,sizeof(*ss));
rr = (pt2d*) sf_alloc(nr,sizeof(*rr));
pt2dread1(Fsou,ss,ns,2); /* read (x,z) coordinates */
pt2dread1(Frec,rr,nr,2); /* read (x,z) coordinates */
cs = lint2d_make(ns,ss,fdm);
cr = lint2d_make(nr,rr,fdm);
/*------------------------------------------------------------*/
/* setup FD coefficients */
idz = 1/dz;
idx = 1/dx;
/*------------------------------------------------------------*/
tt = sf_floatalloc2(nz,nx);
ro =sf_floatalloc2(fdm->nzpad,fdm->nxpad);
c11=sf_floatalloc2(fdm->nzpad,fdm->nxpad);
c33=sf_floatalloc2(fdm->nzpad,fdm->nxpad);
c55=sf_floatalloc2(fdm->nzpad,fdm->nxpad);
c13=sf_floatalloc2(fdm->nzpad,fdm->nxpad);
/* input density */
sf_floatread(tt[0],nz*nx,Fden); expand(tt,ro ,fdm);
/* input stiffness */
sf_floatread(tt[0],nz*nx,Fccc ); expand(tt,c11,fdm);
sf_floatread(tt[0],nz*nx,Fccc ); expand(tt,c33,fdm);
sf_floatread(tt[0],nz*nx,Fccc ); expand(tt,c55,fdm);
sf_floatread(tt[0],nz*nx,Fccc ); expand(tt,c13,fdm);
free(*tt); free(tt);
/*------------------------------------------------------------*/
if(dabc) {
/* one-way abc setup */
/* vp = sf_floatalloc2(fdm->nzpad,fdm->nxpad); */
vs = sf_floatalloc2(fdm->nzpad,fdm->nxpad);
for (ix=0; ix<fdm->nxpad; ix++) {
for(iz=0; iz<fdm->nzpad; iz++) {
/* vp[ix][iz] = sqrt( c11[ix][iz]/ro[ix][iz] ); */
vs[ix][iz] = sqrt( c55[ix][iz]/ro[ix][iz] );
}
}
/* abcp = abcone2d_make(NOP,dt,vp,fsrf,fdm); */
abcs = abcone2d_make(NOP,dt,vs,fsrf,fdm);
/* free(*vp); free(vp); */
free(*vs); free(vs);
/* sponge abc setup */
spo = sponge_make(fdm->nb);
}
/*------------------------------------------------------------*/
/* precompute 1/ro * dt^2 */
for (ix=NOP; ix<fdm->nxpad-NOP; ix++) {
for(iz=NOP; iz<fdm->nzpad-NOP; iz++) {
ro[ix][iz] = dt*dt/ro[ix][iz];
}
}
/*------------------------------------------------------------*/
/* allocate wavefield arrays */
umz=sf_floatalloc2(fdm->nzpad,fdm->nxpad);
uoz=sf_floatalloc2(fdm->nzpad,fdm->nxpad);
upz=sf_floatalloc2(fdm->nzpad,fdm->nxpad);
uaz=sf_floatalloc2(fdm->nzpad,fdm->nxpad);
umx=sf_floatalloc2(fdm->nzpad,fdm->nxpad);
uox=sf_floatalloc2(fdm->nzpad,fdm->nxpad);
upx=sf_floatalloc2(fdm->nzpad,fdm->nxpad);
uax=sf_floatalloc2(fdm->nzpad,fdm->nxpad);
tzz=sf_floatalloc2(fdm->nzpad,fdm->nxpad);
tzx=sf_floatalloc2(fdm->nzpad,fdm->nxpad);
txx=sf_floatalloc2(fdm->nzpad,fdm->nxpad);
for (ix=0; ix<fdm->nxpad; ix++) {
for(iz=0; iz<fdm->nzpad; iz++) {
umz[ix][iz]=0; umx[ix][iz]=0;
uoz[ix][iz]=0; uox[ix][iz]=0;
upz[ix][iz]=0; upx[ix][iz]=0;
uaz[ix][iz]=0; uax[ix][iz]=0;
}
}
if(opot) {
qp=sf_floatalloc2(fdm->nzpad,fdm->nxpad);
qs=sf_floatalloc2(fdm->nzpad,fdm->nxpad);
}
/*------------------------------------------------------------*/
/*
* MAIN LOOP
*/
/*------------------------------------------------------------*/
if(verb) fprintf(stderr,"\n");
for (it=0; it<nt; it++) {
if(verb) fprintf(stderr,"\b\b\b\b\b%d",it);
/*------------------------------------------------------------*/
/* from displacement to strain */
/*------------------------------------------------------------*/
/*
* exx = Fx(ux)
* ezz = Fz(uz)
* ezx = Bx(uz) + Bz(ux)
*/
#ifdef _OPENMP
#pragma omp parallel for \
schedule(dynamic,fdm->ompchunk) \
private(iz,ix) \
shared(fdm,tzz,tzx,txx,uoz,uox,idz,idx)
#endif
for (ix=NOP; ix<fdm->nxpad-NOP; ix++) {
for(iz=NOP; iz<fdm->nzpad-NOP; iz++) {
txx[ix][iz] = Dx(uox,ix,iz,idx);
tzz[ix][iz] = Dz(uoz,ix,iz,idz);
tzx[ix][iz] = Dx(uoz,ix,iz,idx) + Dz(uox,ix,iz,idz);
}
}
/*------------------------------------------------------------*/
/* from strain to stress */
/*------------------------------------------------------------*/
#ifdef _OPENMP
#pragma omp parallel for \
schedule(dynamic,fdm->ompchunk) \
private(iz,ix,szz,szx,sxx) \
shared(fdm,tzz,tzx,txx,c11,c33,c55,c13)
#endif
for (ix=0; ix<fdm->nxpad; ix++) {
for(iz=0; iz<fdm->nzpad; iz++) {
sxx = c11[ix][iz] * txx[ix][iz]
+ c13[ix][iz] * tzz[ix][iz];
szz = c13[ix][iz] * txx[ix][iz]
+ c33[ix][iz] * tzz[ix][iz];
szx = c55[ix][iz] * tzx[ix][iz];
txx[ix][iz] = sxx;
tzz[ix][iz] = szz;
tzx[ix][iz] = szx;
}
}
/*------------------------------------------------------------*/
/* free surface */
/*------------------------------------------------------------*/
if(fsrf) {
for (ix=0; ix<fdm->nxpad; ix++) {
for(iz=0; iz<fdm->nb; iz++) {
txx[ix][iz]=0;
tzz[ix][iz]=0;
tzx[ix][iz]=0;
}
}
}
/*------------------------------------------------------------*/
/* inject stress source */
/*------------------------------------------------------------*/
if(ssou) {
lint2d_bell(tzz,ww[it][0],cs);
lint2d_bell(txx,ww[it][1],cs);
}
/*------------------------------------------------------------*/
/* from stress to acceleration */
/*------------------------------------------------------------*/
/*
* ax = Bx(txx) + Fz(txz)
* az = Fx(txz) + Bz(tzz)
*/
#ifdef _OPENMP
#pragma omp parallel for \
schedule(dynamic,fdm->ompchunk) \
private(iz,ix) \
shared(fdm,tzz,tzx,txx,uaz,uax,idz,idx)
#endif
for (ix=NOP; ix<fdm->nxpad-NOP; ix++) {
for(iz=NOP; iz<fdm->nzpad-NOP; iz++) {
uax[ix][iz] = Dx( txx,ix,iz,idx ) + Dz( tzx,ix,iz,idz );
uaz[ix][iz] = Dx( tzx,ix,iz,idx ) + Dz( tzz,ix,iz,idz );
}
}
/*------------------------------------------------------------*/
/* inject acceleration source */
/*------------------------------------------------------------*/
if(!ssou) {
lint2d_bell(uaz,ww[it][0],cs);
lint2d_bell(uax,ww[it][1],cs);
}
/*------------------------------------------------------------*/
/* step forward in time */
/*------------------------------------------------------------*/
#ifdef _OPENMP
#pragma omp parallel for \
schedule(dynamic,fdm->ompchunk) \
private(iz,ix) \
shared(fdm,uoz,uox,umz,umx,upz,upx,uaz,uax,ro)
#endif
for (ix=0; ix<fdm->nxpad; ix++) {
for(iz=0; iz<fdm->nzpad; iz++) {
upz[ix][iz] = 2*uoz[ix][iz]
- umz[ix][iz]
+ uaz[ix][iz] * ro[ix][iz];
upx[ix][iz] = 2*uox[ix][iz]
- umx[ix][iz]
+ uax[ix][iz] * ro[ix][iz];
}
}
/* circulate wavefield arrays */
utz=umz; utx=umx;
umz=uoz; umx=uox;
uoz=upz; uox=upx;
upz=utz; upx=utx;
if(dabc) {
/* one-way ABC */
/* abcone2d_apply(uoz,umz,NOP,abcp,fdm); */
/* abcone2d_apply(uox,umx,NOP,abcp,fdm); */
abcone2d_apply(uoz,umz,NOP,abcs,fdm);
abcone2d_apply(uox,umx,NOP,abcs,fdm);
/* sponge ABC */
sponge2d_apply(umz,spo,fdm);
sponge2d_apply(uoz,spo,fdm);
sponge2d_apply(umx,spo,fdm);
sponge2d_apply(uox,spo,fdm);
}
/*------------------------------------------------------------*/
/* cut wavefield and save */
/*------------------------------------------------------------*/
if(opot) {
#ifdef _OPENMP
#pragma omp parallel for \
schedule(dynamic,fdm->ompchunk) \
private(iz,ix) \
shared(fdm,uoz,uox,qp,qs,idz,idx)
#endif
for (ix=NOP; ix<fdm->nxpad-NOP; ix++) {
for(iz=NOP; iz<fdm->nzpad-NOP; iz++) {
qp[ix][iz] = Dz( uoz,ix,iz,idz )
+ Dx( uox,ix,iz,idx );
qs[ix][iz] = Dz( uox,ix,iz,idz )
- Dx( uoz,ix,iz,idx );
}
}
if(snap && it%jsnap==0) {
cut2d(qp,uc,fdm,acz,acx);
sf_floatwrite(uc[0],sf_n(acz)*sf_n(acx),Fwfl);
cut2d(qs,uc,fdm,acz,acx);
sf_floatwrite(uc[0],sf_n(acz)*sf_n(acx),Fwfl);
}
lint2d_extract(qp,dd[0],cr);
lint2d_extract(qs,dd[1],cr);
if(it%jdata==0) sf_floatwrite(dd[0],nr*nc,Fdat);
} else {
if(snap && it%jsnap==0) {
cut2d(uoz,uc,fdm,acz,acx);
sf_floatwrite(uc[0],sf_n(acz)*sf_n(acx),Fwfl);
cut2d(uox,uc,fdm,acz,acx);
sf_floatwrite(uc[0],sf_n(acz)*sf_n(acx),Fwfl);
}
lint2d_extract(uoz,dd[0],cr);
lint2d_extract(uox,dd[1],cr);
if(it%jdata==0) sf_floatwrite(dd[0],nr*nc,Fdat);
}
}
if(verb) fprintf(stderr,"\n");
/*------------------------------------------------------------*/
/* deallocate arrays */
free(**ww); free(*ww); free(ww);
free(ss);
free(rr);
free(*dd); free(dd);
free(*ro); free(ro);
free(*c11); free(c11);
free(*c33); free(c33);
free(*c55); free(c55);
free(*c13); free(c13);
free(*umz); free(umz);
free(*uoz); free(uoz);
free(*upz); free(upz);
free(*uaz); free(uaz);
free(*umx); free(umx);
free(*uox); free(uox);
free(*upx); free(upx);
free(*uax); free(uax);
free(*tzz); free(tzz);
free(*txx); free(txx);
free(*tzx); free(tzx);
if(snap) {
free(*uc); free(uc);
}
if(opot) {
free(*qp); free(qp);
free(*qs); free(qs);
}
/*------------------------------------------------------------*/
exit (0);
}