UCVM svm1d

GTL

Adding a new svm:svm1d for UCVMC

• svm1d

cross plots

cvms5 Z1.0

cvms5

cvms5 with svm

cvms5 with ely (z 0,350)

cvms5

cvms5 with svm

cvms5 with ely (z 0,350)

Raw Datafiles

Output format of the raw data is: lon lat Z surf vs30 crustal cr_vp cr_vs cr_rho gtl gtl_vp gtl_vs gtl_rho cmb_algo cmb_vp cmb_vs cmb_rho

depth profiles

Target point: -118.4,34

echo "-118.4 34.0 " | basin_query -m cvms5 -f ../conf/ucvm.conf 

returns the Z1.0 at 580.0

Profile plots,

cvms5 background

cvms5 baseline

cvms5 with svmgtl -z 0,200

cvms5 with svmgtl -z 0,350

cvms5 with svmgtl -Z 1000

commands used :

./plot_depth_profile.py -s 34,-118.4 -b 0  -e 40000 -d vs,vp,density -v 100 -c cvms5 -o cvms5_depth_nogtl_bkg.png
./plot_depth_profile.py -s 34,-118.4 -b 0  -e 800 -d vs -v 10 -c cvms5 -o cvms5_depth_nogtl_base.png
./plot_depth_profile.py -s 34,-118.4 -b 0  -e 800 -d vs -v 10 -c cvms5,svm:svm1d -z 0,200 -o cvms5_depth_svmgtl_200.png
./plot_depth_profile.py -s 34,-118.4 -b 0  -e 800 -d vs -v 10 -c cvms5,svm:svm1d -z 0,350 -o cvms5_depth_svmgtl_350.png
./plot_depth_profile.py -s 34,-118.4 -b 0  -e 800 -d vs -v 10 -c cvms5,svm:svm1d -Z 1000 -o cvms5_depth_svmgtl_Z1.png

Raw Datafiles

Near Garner Valley

Horizontal plots near Garner Valley,

Loc => -b 33.40,-116.859 -u 33.80,-116.30

This plot shows the Z1.0 crossing values ranges from 0 to 80,

cvms5 Z1.0 map

Horizontal plots at 50m depth with just cvms5,

cvms5 50m depth

cvms5 50m depth

Horizontal plots ad 30m and 50m with cvms5 and svm,

cvms5&svm 30m depth

cvms5&svm 50m depth

Comparing at the same depth of 80m (there are very slight differences),

cvms5 80m depth

cvms5&svm 80m depth

Comparing at the same depth of 100m (wiki said they are identical image),

cvms5 100m

cvms5&svm 100m

Raw Datafiles

Somewhere by the water

Near westside with cvms5, internal GTL disabled,

cvms5 Z10 map

cvms5 Z25 map

Depth cross plot,

sample commands used :

./plot_cross_section.py -b 34,-118.5 -u 34,-117.5 -h 700 -v 10 -d vs -c cvms5 -a d -s 0 -e 800 -o cvms5_cross_base.png

and,

./plot_cross_section.py -b 34,-118.5 -u 34,-117.5 -h 500 -v 10 -d vs -c cvms5,svm:svm1d -a d -Z 1000 -s 0 -e 800 -o cvms5_cross_svmgtl_Z1.png

cvms5 background

cvms5 baseline

cvms5 with svm1d -z 0,200

cvms5 with svm1d -z 0,350

cvms5 with svm1d -Z 1000

Raw Datafiles

Additional Info

SVM interpolation function extracted by Elnaz from Jian's class_svm.py from https://github.com/jsh9/PySeismoSoil

// zmax would be the Z1.0 if there is one and vs30
// in data->gtl.vs

double calc_z1_from_Vs30(double vs30) {
  double z1 = 140.511*exp(-0.00303*vs30); // [m]
  return z1;
}

double calc_rho (double vs, double z) {
  if (z == 0.0) {
    z = 0.0001;
  }
  double lb = 1.65; //lower bound  [g/cm^3]
  double rho  = 1000.0 * max(lb, 1.0 + 1.0/ (0.614 + 58.7 * (log(z) + 1.095) / vs)); //[kg/m^3]
  return rho;
}


/* SVM interpolation method */
int ucvm_interp_svm(double zmin, double zmax, ucvm_ctype_t cmode, ucvm_point_t *pnt, ucvm_data_t *data) {

  // curve fitting parameters for SVM model
  double p1 = -2.1688E-04;
  double p2 =  0.5182    ;
  double p3 = 69.452     ;

  double r1 = -59.67     ;
  double r2 = -0.2722    ;
  double r3 = 11.132     ;

  double s1 =  4.110     ;
  double s2 = -1.0521E-04;
  double s3 = -10.827    ;
  double s4 = -7.6187E-03;

  double zstar = 2.5 ; // [m]
  double z1    = zmax; // z at which vs = 1000
  double vz1;

  double z     = data->depth; // interpolation depth

  double vs, k, n, vs0; // vs profiling parameters

  double vscap = 1000.0;
  double eta   = 0.9   ;
  double zeta, veta    ;
  
  double vs30   = data->gtl.vs;

  double nu = 0.3; // poisson ratio
  double vp_vs  = sqrt(2.0*(1.0-nu)/(1.0-2.0*nu));

  //~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
  switch (cmode) {
    case UCVM_COORD_GEO_DEPTH:
    case UCVM_COORD_GEO_ELEV:
    break;
    default:
    fprintf(stderr, "Unsupported coord type\n");
    return(UCVM_CODE_ERROR);
    break;
  }

  if (z < 0.0) {
    return(UCVM_CODE_NODATA);
  }

  // if no z1 data, compute empirically
  if (z1 == 0.0 || z1 == -1.0) {
    z1 = calc_z1_from_Vs30(vs30);
  }

  // query in crustal properties
  if (z >= z1) {
    data->cmb.vp     = data->crust.vp;
    data->cmb.vs     = data->crust.vs;
    data->cmb.rho    = data->crust.rho;
    data->cmb.source = UCVM_SOURCE_CRUST;
    return(UCVM_CODE_SUCCESS);
  }

  // z is between 0 and z1: query in SVM model
  vs0 = p1*pow(vs30,2.0) + p2*vs30 + p3;

  if (z1<=zstar) {
    vs  = min(vs0,vscap);
  }
  else { // z1 > zstar
    k   = exp(r1*pow(vs30,2.0) + r3);                    //  <<=== r2 ???
    n   = max(1.0, s1*exp(s2*vs30) + s3*exp(s4*vs30));
    vz1 = vs0*pow(1.0+k*(z1-zstar),1.0/n); // vs @ z1

    if (vz1 <= vscap) { // no need to cap the model
      if (z<=zstar) {
        vs = vs0;
      }
      else {
        vs = vs0*pow(1.0+k*(z-zstar),1.0/n);
      }  
    }
    else { // vz1 > vscap -> need to cap the model with linear interpolation from zeta to z1
      veta = eta*vscap;
      zeta = (1.0/k)*(pow(veta/vs0,n)-1.0)+zstar; // depth at which vs = eta*vscap
      if (z <= zeta) {
        if (z<=zstar) {
          vs = vs0;
        }
        else {
          vs = vs0*pow(1.0+k*(z-zstar),1.0/n);
        }
      }
      else { // z>zeta -> linear interpolation
        vs   = veta + ((vcap-veta)/(z1-zeta))*(z-zeta);
      }
    }
  }

  data->cmb.vs     = vs;
  data->cmb.vp     = vp_vs * vs;
  data->cmb.rho    =  calc_rho(vs,z);
  data->cmb.source = data->gtl.source;
  return(UCVM_CODE_SUCCESS);
}

Related Links

• UCVM