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163 lines
4.9 KiB
C
163 lines
4.9 KiB
C
#include <stdlib.h>
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#include <math.h>
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#include "geostat.h"
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#include "toolsludo.h"
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/*FAST FOURIER TRANSFORM Pressure Simulation */
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/*Turns a Gaussian white noise vector into a */
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/*spatially correlated vector */
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/*input: */
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/*variogram: structure defining the variogram */
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/* model */
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/*grid: structure defining the grid */
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/*n: vector with the number of cells along the */
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/* X, Y and Z axes for the underlying grid */
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/* i = [0 1 2] */
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/* --> 0 0 0 : n will be computed and */
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/* updated as output */
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/* --> nx ny nz: these dimensions are used */
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/*realin: structure defining a realization - */
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/* must be a Gaussian white noise */
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/*gradient: macroscopic gradient pression vector */
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/*output: */
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/*realout: structure defining a realization - */
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/*realout2: structure defining a pressure field */
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/*realout3: structure defining a xvelocity field */
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/*realout4: structure defining a yvelocity field */
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/*realout5: structure defining a zvelocity field */
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void FFTPSim(struct vario_mod variogram,struct statistic_mod stat,struct grid_mod grid,int n[3],struct realization_mod *realin,struct pressure_mod gradient,struct realization_mod *realout,struct realization_mod *realout2,struct realization_mod *realout3,struct realization_mod *realout4,struct realization_mod *realout5)
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{
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int NTOT,i,j,k,NMAX,NDIM,ntot,nmax,NXYZ,nxyz,maille0,maille1;
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double *workr,*worki,temp,temp2,coeff;
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double *covar,*realization,*pressure;
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double *icovar,*ireal,*ipressure;
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double *xvelocity,*ixvelocity,*yvelocity,*iyvelocity,*zvelocity,*izvelocity;
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double ki,kj,kk;
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/*covariance axis normalization*/
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axes(variogram.ap,variogram.scf,variogram.Nvario);
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/*pseudo-grid definition*/
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cgrid(variogram,grid,n);
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/*constant definition*/
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NTOT = n[0]*n[1]*n[2];
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ntot = NTOT+1;
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NMAX = n[0];
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NDIM = 3;
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for (i=1;i<3;i++) {
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if (n[i] > NMAX)
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NMAX = n[i];
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if (n[i] == 1)
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NDIM--;
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}
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nmax = NMAX+1;
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NXYZ = grid.NX*grid.NY*grid.NZ;
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nxyz = NXYZ+1;
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/*array initialization*/
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covar = (double *) malloc(ntot * sizeof(double));
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testmemory(covar);
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icovar = (double *) malloc(ntot * sizeof(double));
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testmemory(icovar);
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realization = (double *) malloc(ntot * sizeof(double));
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testmemory(realization);
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ireal = (double *) malloc(ntot * sizeof(double));
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testmemory(ireal);
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pressure = (double *) malloc(ntot * sizeof(double));
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testmemory(pressure);
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ipressure = (double *) malloc(ntot * sizeof(double));
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testmemory(ipressure);
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xvelocity = (double *) malloc(ntot * sizeof(double));
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testmemory(xvelocity);
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ixvelocity = (double *) malloc(ntot * sizeof(double));
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testmemory(ixvelocity);
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yvelocity = (double *) malloc(ntot * sizeof(double));
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testmemory(yvelocity);
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iyvelocity = (double *) malloc(ntot * sizeof(double));
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testmemory(iyvelocity);
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zvelocity = (double *) malloc(ntot * sizeof(double));
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testmemory(zvelocity);
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izvelocity = (double *) malloc(ntot * sizeof(double));
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testmemory(izvelocity);
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workr = (double *) malloc(nmax * sizeof(double));
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testmemory(workr);
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worki = (double *) malloc(nmax * sizeof(double));
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testmemory(worki);
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/*covariance function creation*/
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covariance(covar,variogram,grid,n);
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/*power spectrum*/
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fourt(covar,icovar,n,NDIM,1,0,workr,worki);
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/*organization of the input Gaussian white noise*/
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prebuild_gwn(grid,n,realin,realization);
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/*forward fourier transform of the GWN*/
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fourt(realization,ireal,n,NDIM,1,0,workr,worki);
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/* build realization in spectral domain */
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build_real(n,NTOT,covar,realization,ireal);
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free(covar);
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/* pressure calculation in the spectral domain*/
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build_pressure(n,grid,gradient,realization,ireal,pressure,ipressure);
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build_velocity(n,grid,stat,gradient,realization,ireal,xvelocity,ixvelocity,1);
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build_velocity(n,grid,stat,gradient,realization,ireal,yvelocity,iyvelocity,2);
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build_velocity(n,grid,stat,gradient,realization,ireal,zvelocity,izvelocity,3);
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/*backward fourier transform*/
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fourt(realization,ireal,n,NDIM,0,1,workr,worki);
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fourt(pressure,ipressure,n,NDIM,0,1,workr,worki);
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fourt(xvelocity,ixvelocity,n,NDIM,0,1,workr,worki);
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fourt(yvelocity,iyvelocity,n,NDIM,0,1,workr,worki);
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fourt(zvelocity,izvelocity,n,NDIM,0,1,workr,worki);
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free(ireal);
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free(ipressure);
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free(ixvelocity);
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free(iyvelocity);
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free(izvelocity);
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free(workr);
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free(worki);
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/*output realization*/
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/*is the output realization already allocated?*/
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/*if not, memory allocation*/
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clean_real(realin,n,grid,realization,realout);
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clean_real(realin,n,grid,pressure,realout2);
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clean_real(realin,n,grid,xvelocity,realout3);
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clean_real(realin,n,grid,yvelocity,realout4);
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clean_real(realin,n,grid,zvelocity,realout5);
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free(realization);
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free(pressure);
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free(xvelocity);
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free(yvelocity);
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free(zvelocity);
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return;
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}
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