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######################################################## |
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# |
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# Copyright (c) 2003-2009 by University of Queensland |
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# Earth Systems Science Computational Center (ESSCC) |
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# http://www.uq.edu.au/esscc |
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# |
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# Primary Business: Queensland, Australia |
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# Licensed under the Open Software License version 3.0 |
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# http://www.opensource.org/licenses/osl-3.0.php |
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# |
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######################################################## |
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__copyright__="""Copyright (c) 2003-2009 by University of Queensland |
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Earth Systems Science Computational Center (ESSCC) |
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http://www.uq.edu.au/esscc |
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Primary Business: Queensland, Australia""" |
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__license__="""Licensed under the Open Software License version 3.0 |
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http://www.opensource.org/licenses/osl-3.0.php""" |
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__url__="https://launchpad.net/escript-finley" |
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|
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""" |
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calculation of the stress distribution around a fault from the slip on the fault |
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e.g. use slip_stress_mesh.py to generate mesh |
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|
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@var __author__: name of author |
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@var __copyright__: copyrights |
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@var __license__: licence agreement |
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@var __url__: url entry point on documentation |
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@var __version__: version |
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@var __date__: date of the version |
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""" |
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__author__="Lutz Gross, Louise Kettle" |
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from esys.escript import * |
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from esys.escript.pdetools import SaddlePointProblem |
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from esys.escript.linearPDEs import LinearPDE |
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from esys.finley import ReadMesh |
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rho=0. |
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lam_lmbd=1.7e11 |
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lam_mu=1.7e11 |
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g=9.81 |
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fstart = [50000.0, 40000.0, 10909.09090909091] |
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fend = [50000.0, 60000.0, 19090.909090909092] |
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class SlippingFault(SaddlePointProblem): |
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""" |
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simple example of saddle point problem |
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""" |
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def __init__(self,domain): |
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super(SlippingFault, self).__init__(self) |
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self.domain=domain |
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self.__pde_u=LinearPDE(domain,numEquations=self.domain.getDim(),numSolutions=self.domain.getDim()) |
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self.__pde_u.setSymmetryOn() |
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|
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def initialize(self,density=1.,lmbd=1., mu=1., traction=Data(),fixed_u_mask=Data(), slip=0.): |
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d=self.domain.getDim() |
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self.slip=slip |
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A =self.__pde_u.createCoefficientOfGeneralPDE("A") |
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for i in range(self.domain.getDim()): |
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for j in range(self.domain.getDim()): |
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A[i,j,j,i] += mu |
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A[i,j,i,j] += mu |
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A[i,i,j,j] += lmbd |
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self.__pde_u.setValue(A=A,q=fixed_u_mask,Y=-kronecker(Function(self.domain))[d-1]*g*density,y=traction) |
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def inner(self,p0,p1): |
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return integrate(inner(p0,p1),FunctionOnContactZero(self.domain)) |
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def solve_f(self,u,p,tol=1.e-8): |
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self.__pde_u.setTolerance(tol) |
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self.__pde_u.setValue(y_contact=-p) |
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# print "p:",inf(p),sup(p) |
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# print "u:",inf(u),sup(u) |
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self.__pde_u.setValue(y_contact=-p) |
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return self.__pde_u.getSolution() |
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def solve_g(self,u,tol=1.e-8): |
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dp=Vector(0.,FunctionOnContactZero(self.domain)) |
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h=FunctionOnContactZero(self.domain).getSize() |
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# print jump(u)-self.slip |
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dp[0]=(self.slip[0]-jump(u[0]))*lam_mu/h |
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dp[1]=(self.slip[1]-jump(u[1]))*lam_mu/h |
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dp[2]=(self.slip[2]-jump(u[2]))*lam_mu/h |
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return dp |
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dom=ReadMesh("meshfault3D.fly",integrationOrder=-1) |
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prop=SlippingFault(dom) |
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d=dom.getDim() |
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x=dom.getX()[0] |
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# x=dom.getX()[d-1] |
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mask=whereZero(x-inf(x))*numpy.ones((d,)) |
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x=FunctionOnContactZero(dom).getX() |
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s=numpy.array([-100000.,1.,1.]) |
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for i in range(3): |
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d=fend[i]-fstart[i] |
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if d>0: |
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q=(x[i]-fstart[i])/d |
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s=q*(1-q)*4*s |
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elif d<0: |
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q=(x[i]-fend[i])/d |
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s=q*(1-q)*4*s |
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u0=Vector(0.,Solution(dom)) |
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p0=Vector(1.,FunctionOnContactZero(dom)) |
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prop.initialize(fixed_u_mask=mask,slip=Data(s,FunctionOnContactZero(dom)), density=rho,lmbd=lam_lmbd, mu=lam_mu) |
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u,p=prop.solve(u0,p0,iter_max=50,tolerance=0.13,accepted_reduction=1.) |
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saveVTK("dis.vtu",u=u) |
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saveVTK("fault.vtu",sigma=p,s=jump(u)) |
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