N. Chaabane1,a, B. Rivierea, Mikhail Sekachevb and Henri Calandrab
aCAAM department, Rice University
bTotal E&P Research & Technology USA, LLC
1E-mail: nc33@rice.edu
Abstract: In [7], a sequential approach was
introduced to solve the Biot system where the pressure and displacement
variables are decoupled. A stabilization term was added and the discontinuous
Galerkin method was used to discretize the equations in space and the backward
Euler method was used to discretize the equations in time. The convergence of
the method was established both theoretically and numerically. In this work, we
run several numerical experiments to further validate this approach. Cases with
more complex boundary conditions and realistic input parameters are solved. We
also carry out a strong scalability analysis to show the efficiency of this
method on supercomputers.
c 2018 European Society of Computational
Methods in Sciences and Engineering
Keywords: Poroelasticity; Biot system;
Discontinuous Galerkin; Barry-Mercer; sequential method; parallel
implementation
Mathematics Subject Classiffication: 65M60
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