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A discontinuous Galerkin method for poroelastic wave propagation: the two-dimensional case

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JournalJournal of Computational Physics
DateAccepted/In press - 31 Aug 2017
DateE-pub ahead of print - 7 Sep 2017
DatePublished (current) - 1 Dec 2017
Volume350
Number of pages38
Pages (from-to)690-727
Early online date7/09/17
Original languageEnglish

Abstract

In this paper, we consider a high-order discontinuous Galerkin (DG) method for modelling wave propagation in coupled poroelastic–elastic media. The upwind numerical flux is derived as an exact solution for the Riemann problem including the poroelastic–elastic interface. Attenuation mechanisms in both Biot's low- and high-frequency regimes are considered. The current implementation supports non-uniform basis orders which can be used to control the numerical accuracy element by element. In the numerical examples, we study the convergence properties of the proposed DG scheme and provide experiments where the numerical accuracy of the scheme under consideration is compared to analytic and other numerical solutions.

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© 2017 Elsevier B.V. or its licensors or contributors. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy.

    Research areas

  • Discontinuous Galerkin method, Non-uniform basis order, Poroelastic waves

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