| 1 |
# |
| 2 |
# $Id$ |
| 3 |
# |
| 4 |
####################################################### |
| 5 |
# |
| 6 |
# Copyright 2003-2007 by ACceSS MNRF |
| 7 |
# Copyright 2007 by University of Queensland |
| 8 |
# |
| 9 |
# http://esscc.uq.edu.au |
| 10 |
# Primary Business: Queensland, Australia |
| 11 |
# Licensed under the Open Software License version 3.0 |
| 12 |
# http://www.opensource.org/licenses/osl-3.0.php |
| 13 |
# |
| 14 |
####################################################### |
| 15 |
# |
| 16 |
|
| 17 |
""" |
| 18 |
calculation of the stress distribution around a fault from the slip on the fault |
| 19 |
|
| 20 |
@var __author__: name of author |
| 21 |
@var __copyright__: copyrights |
| 22 |
@var __license__: licence agreement |
| 23 |
@var __url__: url entry point on documentation |
| 24 |
@var __version__: version |
| 25 |
@var __date__: date of the version |
| 26 |
""" |
| 27 |
|
| 28 |
__author__="Lutz Gross, Louise Kettle" |
| 29 |
__copyright__=""" Copyright (c) 2006, 2007 by ACcESS MNRF |
| 30 |
http://www.access.edu.au |
| 31 |
Primary Business: Queensland, Australia""" |
| 32 |
__license__="""Licensed under the Open Software License version 3.0 |
| 33 |
http://www.opensource.org/licenses/osl-3.0.php""" |
| 34 |
__url__="http://www.iservo.edu.au/esys" |
| 35 |
__version__="$Revision$" |
| 36 |
__date__="$Date$" |
| 37 |
|
| 38 |
from esys.escript import * |
| 39 |
from esys.escript.pdetools import SaddlePointProblem |
| 40 |
from esys.escript.linearPDEs import LinearPDE |
| 41 |
from esys.finley import Brick |
| 42 |
from esys.pyvisi import Scene, DataCollector, Contour, Camera, Velocity, Text2D, LocalPosition |
| 43 |
from esys.pyvisi.constant import * |
| 44 |
import os |
| 45 |
|
| 46 |
JPG_RENDERER = Renderer.OFFLINE_JPG |
| 47 |
ne = 20 # number of elements in spatial direction |
| 48 |
|
| 49 |
def lockToGrid(x,l,n): |
| 50 |
h=l/n |
| 51 |
return int(x/h+0.5)*h |
| 52 |
|
| 53 |
|
| 54 |
width = 100000. |
| 55 |
height = 30000. |
| 56 |
|
| 57 |
ne_w=int((ne/height)*width+0.5) |
| 58 |
rho=0. |
| 59 |
lmbd=1.7e11 |
| 60 |
mu=1.7e11 |
| 61 |
g=9.81 |
| 62 |
|
| 63 |
# fault location: |
| 64 |
|
| 65 |
fstart = [lockToGrid(50000.0,width,ne_w), lockToGrid(40000.0,width,ne_w), lockToGrid(8000.,height,ne)] |
| 66 |
fend = [lockToGrid(50000.0,width,ne_w), lockToGrid(60000.0,width,ne_w), lockToGrid(20000.,height,ne)] |
| 67 |
s=[0.,1.,0.] |
| 68 |
|
| 69 |
print "=== generate mesh over %s x %s x %s ==="%(width,width,height) |
| 70 |
dom=Brick(l0=width, l1=width, l2=height, n0=ne_w, n1=ne_w, n2=ne) |
| 71 |
print " total number of elements = ",ne*ne_w*ne_w |
| 72 |
|
| 73 |
print "=== prepare PDE coefficients ===" |
| 74 |
# fixed displacements: |
| 75 |
d=dom.getDim() |
| 76 |
x=dom.getX() |
| 77 |
mask=whereZero(x[d-1]-inf(x[d-1]))*numarray.ones((d,)) |
| 78 |
|
| 79 |
# map the fault into the unit square: |
| 80 |
x_hat=x-fstart |
| 81 |
p=[0.,0.,0.] |
| 82 |
q=1. |
| 83 |
for i in range(d): |
| 84 |
p[i]=fend[i]-fstart[i] |
| 85 |
if abs(p[i])>0: |
| 86 |
x_hat[i]/=p[i] |
| 87 |
q=whereNonNegative(x_hat[i])*whereNonPositive(x_hat[i]-1.)*x_hat[i]*(1.-x_hat[i])*4.*q |
| 88 |
else: |
| 89 |
flip=i |
| 90 |
q=whereZero(x_hat[i],1.e-3*Lsup(x_hat[i]))*q |
| 91 |
g_s=grad(q*s) |
| 92 |
sigma0=(mu*symmetric(g_s)+lmbd*trace(g_s)*kronecker(d))*(whereNegative(interpolate(x_hat[flip],g_s.getFunctionSpace()))-0.5) |
| 93 |
pde=LinearPDE(dom) |
| 94 |
pde.setSymmetryOn() |
| 95 |
A =Tensor4(0.,Function(dom)) |
| 96 |
for i in range(d): |
| 97 |
for j in range(d): |
| 98 |
A[i,j,j,i] += mu |
| 99 |
A[i,j,i,j] += mu |
| 100 |
A[i,i,j,j] += lmbd |
| 101 |
pde.setValue(A=A,q=mask,Y=-kronecker(Function(dom))[d-1]*g*rho,X=sigma0) |
| 102 |
|
| 103 |
print "=== solve pde === " |
| 104 |
u=pde.getSolution(verbose=True) |
| 105 |
|
| 106 |
print "=== calculate stress ===" |
| 107 |
g_s=grad(u) |
| 108 |
sigma=mu*symmetric(g_s)+lmbd*trace(g_s)*kronecker(d) |
| 109 |
|
| 110 |
print "=== start rendering ===" |
| 111 |
# Create a Scene. |
| 112 |
s = Scene(renderer = JPG_RENDERER, num_viewport = 1, x_size = 800, y_size = 800) |
| 113 |
dc1 = DataCollector(source = Source.ESCRIPT) |
| 114 |
dc1.setData(disp=u,sigma=sigma,cfs=sigma[0,1]-0.4*sigma[0,0]) |
| 115 |
|
| 116 |
# Create a Contour. |
| 117 |
ctr1 = Contour(scene = s, data_collector = dc1, viewport = Viewport.SOUTH_WEST, |
| 118 |
lut = Lut.COLOR, cell_to_point = True, outline = True) |
| 119 |
ctr1.generateContours(contours = 10) |
| 120 |
ctr1.setOpacity(0.5) |
| 121 |
|
| 122 |
# Create velocity |
| 123 |
vopc1 = Velocity(scene = s, data_collector = dc1, |
| 124 |
color_mode = ColorMode.VECTOR, |
| 125 |
arrow = Arrow.THREE_D, lut = Lut.COLOR, cell_to_point = False, |
| 126 |
outline = False) |
| 127 |
vopc1.setScaleFactor(scale_factor = 10000.) |
| 128 |
vopc1.setRatio(2) |
| 129 |
vopc1.randomOn() |
| 130 |
|
| 131 |
# Create a Camera. |
| 132 |
cam1 = Camera(scene = s, viewport = Viewport.SOUTH_WEST) |
| 133 |
cam1.elevation(angle = -50) |
| 134 |
|
| 135 |
# add some text |
| 136 |
t2 = Text2D(scene = s, text = "CFS and displacement around vertical fault") |
| 137 |
t2.setPosition(LocalPosition(200,30)) |
| 138 |
t2.setColor(color = Color.BLACK) |
| 139 |
t2.setFontSize(size = 20) |
| 140 |
t2.setFontToArial() |
| 141 |
t2.shadowOn() |
| 142 |
|
| 143 |
# Render the object. |
| 144 |
s.render("stress_contour.jpg") |
| 145 |
print "=== finished rendering ===" |
Parent Directory
| 
Revision Log