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cOkadaFault.cpp
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cOkadaFault.cpp
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/*
* EasyWave - A realtime tsunami simulation program with GPU support.
* Copyright (C) 2014 Andrey Babeyko, Johannes Spazier
* GFZ German Research Centre for Geosciences (http://www.gfz-potsdam.de)
*
* Parts of this program (especially the GPU extension) were developed
* within the context of the following publicly funded project:
* - TRIDEC, EU 7th Framework Programme, Grant Agreement 258723
* (http://www.tridec-online.eu)
*
* Licensed under the EUPL, Version 1.1 or - as soon they will be approved by
* the European Commission - subsequent versions of the EUPL (the "Licence"),
* complemented with the following provision: For the scientific transparency
* and verification of results obtained and communicated to the public after
* using a modified version of the work, You (as the recipient of the source
* code and author of this modified version, used to produce the published
* results in scientific communications) commit to make this modified source
* code available in a repository that is easily and freely accessible for a
* duration of five years after the communication of the obtained results.
*
* You may not use this work except in compliance with the Licence.
*
* You may obtain a copy of the Licence at:
* https://joinup.ec.europa.eu/software/page/eupl
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the Licence is distributed on an "AS IS" basis,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the Licence for the specific language governing permissions and
* limitations under the Licence.
*/
#include <stdio.h>
#include <string.h>
#include "utilits.h"
#include "cOkadaFault.h"
#include <cmath>
static const double Rearth=6384.e+3;
//=========================================================================
// Constructor
cOkadaFault::cOkadaFault()
{
// obligatory user parameters
lat = lon = depth = strike = dip = rake = RealMax;
// optional user parameters
mw = slip = length = width = 0.;
adjust_depth = 0;
// default values
refpos = FLT_POS_C;
mu = 3.5e+10;
// derivative parameters
zbot = sind = cosd = sins = coss = tand = coslat = wp = dslip = sslip = 0;
// flags
checked = 0;
}
//=========================================================================
// Destructor
cOkadaFault::~cOkadaFault()
{
}
//=========================================================================
// read fault parameters from input string. read only. consistency check in separate method
int cOkadaFault::read( char *faultparam )
{
char *cp,buf[64];
// origin location
cp = strstr( faultparam, "-location" );
if( cp ) {
if( sscanf( cp, "%*s %lf %lf %lf", &lon, &lat, &depth ) != 3 ) return Err.post( "cOkadaFault::read: position" );
depth *= 1000;
}
// adjust depth if fault breaks through surface
cp = strstr( faultparam, "-adjust_depth" );
if( cp ) adjust_depth = 1;
// reference point
cp = strstr( faultparam, "-refpos" );
if( cp ) {
if( sscanf( cp, "%*s %s", buf ) != 1 ) return Err.post( "cOkadaFault::read: refpos" );
if( !strcmp( buf, "C" ) || !strcmp( buf, "c" ) )
refpos = FLT_POS_C;
else if( !strcmp( buf, "MT" ) || !strcmp( buf, "mt" ) )
refpos = FLT_POS_MT;
else if( !strcmp( buf, "BT" ) || !strcmp( buf, "bt" ) )
refpos = FLT_POS_BT;
else if( !strcmp( buf, "BB" ) || !strcmp( buf, "bb" ) )
refpos = FLT_POS_BB;
else if( !strcmp( buf, "MB" ) || !strcmp( buf, "mb" ) )
refpos = FLT_POS_MB;
else
return Err.post( "cOkadaFault::read: refpos" );
}
// magnitude
cp = strstr( faultparam, "-mw" );
if( cp ) if( sscanf( cp, "%*s %lf", &mw ) != 1 ) return Err.post( "cOkadaFault::read: mw" );
// slip
cp = strstr( faultparam, "-slip" );
if( cp ) {
if( sscanf( cp, "%*s %lf", &slip ) != 1 ) return Err.post( "cOkadaFault::read: slip" );
if( slip < 1.e-6 ) slip = 1.e-6;
}
// strike
cp = strstr( faultparam, "-strike" );
if( cp ) if( sscanf( cp, "%*s %lf", &strike ) != 1 ) return Err.post( "cOkadaFault::read: strike" );
// dip
cp = strstr( faultparam, "-dip" );
if( cp ) if( sscanf( cp, "%*s %lf", &dip ) != 1 ) return Err.post( "cOkadaFault::read: dip" );
// rake
cp = strstr( faultparam, "-rake" );
if( cp ) if( sscanf( cp, "%*s %lf", &rake ) != 1 ) return Err.post( "cOkadaFault::read: rake" );
// length and width
cp = strstr( faultparam, "-size" );
if( cp ) {
if( sscanf( cp, "%*s %lf %lf", &length, &width ) != 2 ) return Err.post( "cOkadaFault::read: size" );
length *= 1000;
width *= 1000;
}
// rigidity
cp = strstr( faultparam, "-rigidity" );
if( cp ) if( sscanf( cp, "%*s %lf", &mu ) != 1 ) return Err.post( "cOkadaFault::read: rigidity" );
// check fault data for integrity
//ierr = check(); if(ierr) return ierr;
return 0;
}
//================================================================================
int cOkadaFault::check()
// Check readed fault parameters for consistency and calculate secondary parameters
{
// check necessary parameters
if( lon == RealMax ) { Err.post( "cOkadaFault::check: lon" ); return FLT_ERR_DATA; }
if( lat == RealMax ) { Err.post( "cOkadaFault::check: lat" ); return FLT_ERR_DATA; }
if( depth == RealMax ) { Err.post( "cOkadaFault::check: depth" ); return FLT_ERR_DATA; }
if( strike == RealMax ) { Err.post( "cOkadaFault::check: strike" ); return FLT_ERR_STRIKE; }
if( rake == RealMax ) { Err.post( "cOkadaFault::check: rake" ); return FLT_ERR_DATA; }
if( dip == RealMax ) { Err.post( "cOkadaFault::check: dip" ); return FLT_ERR_DATA; }
// cache trigonometric expressions
sind = sindeg( dip );
cosd = cosdeg( dip );
sins = sindeg( 90-strike );
coss = cosdeg( 90-strike );
tand = tandeg( dip );
coslat = cosdeg( lat );
// branching through given parameters (the full solution table see end of file)
if( !mw && !slip ) {
Err.post( "cOkadaFault::check: not enough data" ); return FLT_ERR_DATA;
}
else if( !mw && slip ) {
if( !length && !width ) {
Err.post( "cOkadaFault::check: not enough data" ); return FLT_ERR_DATA;
}
else if( length && !width ) {
width = length/2;
}
else if( !length && width ) {
length = 2*width;
}
else if( length && width ) {
}
else {
Err.post( "cOkadaFault::check: internal error" ); return FLT_ERR_INTERNAL;
}
mw = 2. / 3. * (log10(mu * length * width * slip) - 9.1);
}
else if( mw && !slip ) {
if( !length && !width ) {
// scaling relations used by JMA
length = pow(10., -1.80 + 0.5 * mw) * 1000;
width = length/2;
}
else if( length && !width ) {
width = length/2;
}
else if( !length && width ) {
length = 2*width;
}
else if( length && width ) {
}
else {
Err.post( "cOkadaFault::check: internal error" ); return FLT_ERR_INTERNAL;
}
slip = mw2m0() / mu / length / width;
}
else if( mw && slip ) {
if( !length && !width ) {
double area = mw2m0() / mu / slip;
length = sqrt(2 * area);
width = length/2;
}
else if( length && !width ) {
width = mw2m0() / mu / slip / length;
}
else if( !length && width ) {
length = mw2m0() / mu / slip / width;
}
else if( length && width ) {
if (fabs(1 - mu * slip * length * width / mw2m0()) > 0.01) {
Err.post( "cOkadaFault::check: data inconsistency" ); return FLT_ERR_DATA;
}
}
else {
Err.post( "cOkadaFault::check: internal error" ); return FLT_ERR_INTERNAL;
}
}
// calculate bottom of the fault
switch( refpos ) {
double ztop;
case FLT_POS_C:
ztop = depth - width/2*sind;
if( ztop < 0 ) {
if( adjust_depth ) {
ztop = 0.;
depth = ztop + width/2*sind;
}
else {
Err.post( "cOkadaFault::check: negative ztop" );
return FLT_ERR_ZTOP;
}
}
zbot = depth + width/2*sind;
break;
case FLT_POS_MT:
case FLT_POS_BT:
zbot = depth + width*sind;
break;
case FLT_POS_BB:
case FLT_POS_MB:
ztop = depth - width*sind;
if( ztop < 0 ) {
if( adjust_depth ) {
ztop = 0.;
depth = ztop + width*sind;
}
else {
Err.post( "cOkadaFault::check: negative ztop" );
return FLT_ERR_ZTOP;
}
}
zbot = depth;
break;
}
// slip components
dslip = slip*sindeg(rake);
sslip = slip*cosdeg(rake);
// surface projection of width
wp = width*cosd;
checked = 1;
return 0;
}
//=========================================================================
double cOkadaFault::mw2m0()
{ return pow(10., 3. * mw / 2 + 9.1); }
//=========================================================================
double cOkadaFault::getM0()
{
if( !checked ) { Err.post( "cOkadaFault::getM0: fault not checked" ); return -RealMax; }
return mw2m0();
}
//=========================================================================
double cOkadaFault::getMw()
{
if( !checked ) { Err.post( "cOkadaFault::getMw: fault not checked" ); return -RealMax; }
return mw;
}
//=========================================================================
double cOkadaFault::getZtop()
{
return( zbot - width*sind );
}
//=========================================================================
int cOkadaFault::global2local( double glon, double glat, double& lx, double& ly )
// from global geographical coordinates into local Okada's coordinates
{
double x,y;
// center coordinate system to refpos (lon/lat), convert to meters
y = Rearth * g2r(glat - lat);
x = Rearth * coslat * g2r(glon - lon);
// rotate according to strike
lx = x*coss + y*sins;
ly = -x*sins + y*coss;
// finally shift to Okada's origin point (BB)
switch( refpos ) {
case FLT_POS_C: lx = lx + length/2; ly = ly + wp/2; break;
case FLT_POS_MT: lx = lx + length/2; ly = ly + wp ; break;
case FLT_POS_BT: lx = lx * 1.0 ; ly = ly + wp ; break;
case FLT_POS_BB: lx = lx * 1.0 ; ly = ly * 1.0 ; break;
case FLT_POS_MB: lx = lx + length/2; ly = ly * 1.0 ; break;
}
return 0;
}
//=========================================================================
int cOkadaFault::local2global( double lx, double ly, double& glon, double& glat )
// from local Okada's coordinates to global geographical
{
double x,y,gx,gy;
// define local coordinates relative to the fault refpos
switch( refpos ) {
case FLT_POS_C: x = lx - length/2; y = ly - wp/2; break;
case FLT_POS_MT: x = lx - length/2; y = ly - wp ; break;
case FLT_POS_BT: x = lx ; y = ly - wp ; break;
case FLT_POS_BB: x = lx ; y = ly ; break;
case FLT_POS_MB: x = lx - length/2; y = ly ; break;
}
// back-rotate to geographical axes (negative strike!). Values are still in meters!
gx = x*coss + y*(-sins);
gy = -x*(-sins) + y*coss;
// convert meters to degrees. This is offset in degrees relative to refpos. Add refpos coordinates for absolute values
glat = r2g(gy/Rearth) + lat;
glon = r2g(gx/Rearth/cosdeg(lat)) + lon;
return 0;
}
//=========================================================================
// get ruptured area to calculate surface displacement
// parameter rand accounts for lateral enlargement at rands of rupture surface projection
int cOkadaFault::getDeformArea( double& lonmin, double& lonmax, double& latmin, double& latmax )
{
#define FLT_NL 2 // significant deformation area along length (in length units)
#define FLT_NW 5 // significant deformation area along width (in width units)
double dxC,dyC,l2,w2,glon,glat;
if( !checked ) { Err.post( "cOkadaFault::getDeformArea: attempt with non-checked fault" ); return FLT_ERR_INTERNAL; }
// follow rectangle around the fault
dxC = FLT_NL * length;
l2 = length/2;
dyC = FLT_NW * wp;
w2 = wp/2;
local2global( dxC+l2, dyC+w2, glon, glat );
lonmin = lonmax = glon;
latmin = latmax = glat;
local2global( -dxC+l2, dyC+w2, glon, glat );
if( glon<lonmin ) lonmin = glon; if( glon>lonmax ) lonmax = glon;
if( glat<latmin ) latmin = glat; if( glat>latmax ) latmax = glat;
local2global( -dxC+l2, -dyC+w2, glon, glat );
if( glon<lonmin ) lonmin = glon; if( glon>lonmax ) lonmax = glon;
if( glat<latmin ) latmin = glat; if( glat>latmax ) latmax = glat;
local2global( dxC+l2, -dyC+w2, glon, glat );
if( glon<lonmin ) lonmin = glon; if( glon>lonmax ) lonmax = glon;
if( glat<latmin ) latmin = glat; if( glat>latmax ) latmax = glat;
return 0;
}
//=========================================================================
int cOkadaFault::calculate( double lon0, double lat0, double& uz, double& ulon, double &ulat )
{
double x,y,ux,uy;
if( !checked ) { Err.post( "cOkadaFault::calculate: attempt with non-checked fault" ); return FLT_ERR_INTERNAL; }
global2local( lon0, lat0, x, y );
// Okada model
okada( length, width, zbot, sind, cosd, sslip, dslip, x, y, 1, &ux,&uy,&uz );
// back-rotate horizontal deformations to global coordinates (negative strike!)
ulon = ux*coss + uy*(-sins);
ulat = -ux*(-sins) + uy*coss;
return 0;
}
//=========================================================================
int cOkadaFault::calculate( double lon0, double lat0, double &uz )
{
double x,y,ux,uy;
if( !checked ) { Err.post( "cOkadaFault::calculate: attempt with non-checked fault" ); return FLT_ERR_INTERNAL; }
global2local( lon0, lat0, x, y );
// Okada model
okada( length, width, zbot, sind, cosd, sslip, dslip, x, y, 0, &ux,&uy,&uz );
return 0;
}
//======================================================================================
// Input parameter selection: Solution table
// if given:
// mw slip L W action
// - - - - err_data
// - - - + err_data
// - - + - err_data
// - - + + err_data
// - + - - err_data
// - + - + L=2W, Mw
// - + + - W=L/2, Mw
// - + + + Mw
// + - - - W&C96(L,W), S
// + - - + L=2W, S
// + - + - W=L/2, S
// + - + + S
// + + - - area(Mw), L=2W
// + + - + L
// + + + - W
// + + + + check Mw=muSLW