void
GridMapping::makeTimeDepthMapping(NRLib::Grid<float> * velocity,
const Simbox * timeSimbox)
{
Simbox * depthSimbox = simbox_; // For readability
int nx = depthSimbox->getnx();
int ny = depthSimbox->getny();
int nz = depthSimbox->getnz();
mapping_ = new StormContGrid(*depthSimbox, nx, ny, nz);
for(int i=0;i<nx;i++)
{
for(int j=0;j<ny;j++)
{
double x,y;
depthSimbox->getXYCoord(i,j,x,y);
double tTop = timeSimbox->getTop(x,y);
double tBase = timeSimbox->getBot(x,y);
double zTop = depthSimbox->getTop(x,y);
double zBase = depthSimbox->getBot(x,y);
double deltaT = (tBase-tTop)/(static_cast<double>(2000*timeSimbox->getnz()));
double deltaZ = (zBase-zTop)/static_cast<double>(nz);
double sum = 0.0;
double sumz = 0.0;
for(int k=0 ; k<timeSimbox->getnz() ; k++)
sumz +=deltaT*static_cast<double>(velocity->GetValue(i,j,k));
double c = (zBase-zTop)/sumz;
(*mapping_)(i,j,0) = static_cast<float>(tTop);
int kk = 0;
for(int k=1;k<nz;k++)
{
double z = k*deltaZ;
while(sum<z && kk<nz)
{
kk++;
sum+=deltaT*c*static_cast<double>(velocity->GetValue(i,j,kk-1));
}
double v = velocity->GetValue(i,j,kk-1);
double z0 = tTop;
double dz1 = 2000.0*static_cast<double>(kk-1)*deltaT;
double dz2 = 2000.0*(z - sum + deltaT*c*v)/(c*v);
(*mapping_)(i,j,k) = static_cast<float>(z0 + dz1 + dz2);
}
}
}
// velocity->endAccess();
}
void ModelGravityDynamic::BuildGMatrix(ModelGravityStatic * modelGravityStatic,
SeismicParametersHolder & seismicParameters)
{
// Building gravity matrix for each time vintage, using updated mean Vp in generating the grid.
double gamma = 6.67384e-11; // units: m^3/(kg*s^2)
Simbox * fullSizeTimeSimbox = modelGeneral_ ->getTimeSimbox();
// Use vp_current, found in Seismic parameters holder.
FFTGrid * expMeanAlpha = new FFTGrid(seismicParameters.GetMuAlpha()); // for upscaling
FFTGrid * meanAlphaFullSize = new FFTGrid(expMeanAlpha); // for full size matrix
int nx = fullSizeTimeSimbox->getnx();
int ny = fullSizeTimeSimbox->getny();
int nz = fullSizeTimeSimbox->getnz();
double dx = fullSizeTimeSimbox->getdx();
double dy = fullSizeTimeSimbox->getdy();
int nxp = expMeanAlpha->getNxp();
int nyp = expMeanAlpha->getNyp();
int nzp = expMeanAlpha->getNzp();
int nxp_upscaled = modelGravityStatic->GetNxp_upscaled();
int nyp_upscaled = modelGravityStatic->GetNyp_upscaled();
int nzp_upscaled = modelGravityStatic->GetNzp_upscaled();
int upscaling_factor_x = nxp/nxp_upscaled;
int upscaling_factor_y = nyp/nyp_upscaled;
int upscaling_factor_z = nzp/nzp_upscaled;
// dimensions of one grid cell
double dx_upscaled = dx*upscaling_factor_x;
double dy_upscaled = dy*upscaling_factor_y;
int nx_upscaled = modelGravityStatic->GetNx_upscaled();
int ny_upscaled = modelGravityStatic->GetNy_upscaled();
int nz_upscaled = modelGravityStatic->GetNz_upscaled();
int N_upscaled = nx_upscaled*ny_upscaled*nz_upscaled;
int N_fullsize = nx*ny*nz;
int nObs = 30;
G_ .resize(nObs, N_upscaled);
G_fullsize_.resize(nObs, N_fullsize);
// Need to be in real domain for transforming from log domain
if(expMeanAlpha->getIsTransformed())
expMeanAlpha->invFFTInPlace();
if(meanAlphaFullSize->getIsTransformed())
meanAlphaFullSize->invFFTInPlace();
float sigma_squared = GravimetricInversion::GetSigmaForTransformation(seismicParameters.GetCovAlpha());
GravimetricInversion::MeanExpTransform(expMeanAlpha, sigma_squared);
GravimetricInversion::MeanExpTransform(meanAlphaFullSize, sigma_squared);
//Smooth (convolve) and subsample
FFTGrid * upscalingKernel_conj = modelGravityStatic->GetUpscalingKernel();
if(upscalingKernel_conj->getIsTransformed() == false)
upscalingKernel_conj->fftInPlace();
upscalingKernel_conj->conjugate(); // Conjugate only in FFT domain.
// Need to be in FFT domain for convolution and subsampling
if(expMeanAlpha->getIsTransformed() == false)
expMeanAlpha->fftInPlace();
expMeanAlpha->multiply(upscalingKernel_conj); // Now is expMeanAlpha smoothed
FFTGrid * upscaledMeanAlpha;
GravimetricInversion::Subsample(upscaledMeanAlpha, expMeanAlpha, nx_upscaled, ny_upscaled, nz_upscaled, nxp_upscaled, nyp_upscaled, nzp_upscaled);
upscaledMeanAlpha->invFFTInPlace();
float x0, y0, z0; // Coordinates for the observations points
int J = 0; // Index in matrix counting cell number
int I = 0;
float vp;
double dt;
double localMass;
double localDistanceSquared;
for(int i = 0; i < nObs; i++){
x0 = observation_location_utmx_[i];
y0 = observation_location_utmy_[i];
z0 = observation_location_depth_[i];
J = 0; I = 0;
// Loop through upscaled simbox to get x, y, z for each grid cell
for(int ii = 0; ii < nx_upscaled; ii++){
for(int jj = 0; jj < ny_upscaled; jj++){
for(int kk = 0; kk < nz_upscaled; kk++){
double x, y, z;
vp = upscaledMeanAlpha->getRealValue(ii,jj,kk);
int istart = ii*upscaling_factor_x;
int istop = (ii+1)*upscaling_factor_x;
int jstart = jj*upscaling_factor_y;
int jstop = (jj+1)*upscaling_factor_y;
int kstart = kk*upscaling_factor_z;
int kstop = (kk+1)*upscaling_factor_z;
double x_local = 0;
double y_local = 0;
double z_local = 0;
double dt_local = 0;
//Find center position of coarse grid cell using indices of fine grid and averaging their cell centers.
for(int iii=istart; iii<istop; iii++){
for(int jjj=jstart; jjj<jstop; jjj++){
for(int kkk=kstart; kkk<kstop; kkk++){
fullSizeTimeSimbox->getCoord(iii, jjj, kkk, x, y, z);
x_local += x;
y_local += y;
z_local += z; // NB Need time depth mapping!
dt_local += fullSizeTimeSimbox->getdz(iii, jjj);
}
}
}
x_local /= (upscaling_factor_x*upscaling_factor_y*upscaling_factor_z);
y_local /= (upscaling_factor_x*upscaling_factor_y*upscaling_factor_z);
z_local /= (upscaling_factor_x*upscaling_factor_y*upscaling_factor_z);
dt_local /= (upscaling_factor_x*upscaling_factor_y*upscaling_factor_z);
// Find fraction of dx_upscaled and dy_upscaled according to indicies
double xfactor = 1;
if(istop <= nx){ // inside
xfactor = 1;
}
else if(istart > nx){ //outside
xfactor = 0;
}
else{
xfactor = (nx - istart)/upscaling_factor_x;
}
double yfactor = 1;
if(jstop <= ny){
yfactor = 1;
}
else if(jstart > ny){
yfactor = 0;
}
else{
yfactor = (ny - jstart)/upscaling_factor_y;
}
localMass = (xfactor*dx_upscaled)*(yfactor*dy_upscaled)*dt_local*vp*0.5*1000; // units kg
localDistanceSquared = pow((x_local-x0),2) + pow((y_local-y0),2) + pow((z_local-z0),2); //units m^2
G_(i,J) = localMass/localDistanceSquared;
J++;
}
}
}
// Loop through full size simbox to get x, y, z for each grid cell
for(int ii = 0; ii < nx; ii++){
for(int jj = 0; jj < ny; jj++){
for(int kk = 0; kk < nz; kk++){
double x, y, z;
fullSizeTimeSimbox->getCoord(ii, jj, kk, x, y, z); // assuming these are center positions...
vp = meanAlphaFullSize->getRealValue(ii, jj, kk);
dt = fullSizeTimeSimbox->getdz(ii, jj);
localMass = dx*dy*dt*vp*0.5*1000; // units kg
localDistanceSquared = pow((x-x0),2) + pow((y-y0),2) + pow((z-z0),2); //units m^2
G_fullsize_(i,I) = localMass/localDistanceSquared;
I++;
}
}
}
}
G_ = G_*gamma;
G_fullsize_ = G_fullsize_*gamma;
}