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

TLDR: A high-order discontinuous Galerkin (DG) method for modelling wave propagation in coupled poroelastic–elastic media and experiments where the numerical accuracy of the scheme under consideration is compared to analytic and other numerical solutions are provided.

About: This article is published in Journal of Computational Physics.The article was published on 2017-12-01 and is currently open access. It has received 36 citations till now. The article focuses on the topics: Discontinuous Galerkin method & Riemann problem.

Figures

Table 1: Material parameters used in the convergence analysis.

Table 5: The convergence rate as a function of the grid parameter hmin and constant C (see Eq. 160) for three basis orders starting from order 3 (top), order 5 (middle), and ending with order 6 (bottom) for the LSRK time stepping scheme.

Table 11: Computed mean speeds in different subdomains for the active prospecting experiment in Section 6.3.

Table 3: The convergence rate as a function of the grid parameter hmin for three basis orders starting from order 3 (top), order 5 (middle), and ending with order 6 (bottom). Convergence rates together with the L2-error values are reported for the inviscid (columns 2 and 3), viscous (low-frequency, columns 4 and 5), and viscous (high-frequency, columns 6 and 7) cases.

Frequently asked questions

Q1. What contributions have the authors mentioned in the paper "A discontinuous galerkin method for poroelastic wave propagation i: the two-dimensional case" ?

This article is distributed under the terms of the Creative Commons Attribution-NonCommercial-NoDerivs ( CC BY-NC-ND ) licence. This licence only allows you to download this work and share it with others as long as you credit the authors, but you can ’ t change the article in any way or use it commercially. 

Q2. What have the authors stated for future works in "A discontinuous galerkin method for poroelastic wave propagation i: the two-dimensional case" ?

This is the topic of future studies. The authors further remark that implementation of perfectly matched layers or high-order absorbing boundary conditions for a coupled425 elastic/poroelastic in all frequency regimes with comprehensive viscoelastic and poroelastic modelling is likely to be extremely challenging.