Discontinuous Galerkin methods for wave propagation in poroelastic media

• DOI: 10.1190/1.2965027
• Publication Date: 2008-09-29T22:00:34Z
• Authors: Josep de la Puente; Michael Dumbser; Martin Käser; Heiner Igel
• Keywords: Inviscid flow; Poromechanics; Biot number

We have developed a new numerical method to solve the heterogeneous poroelastic wave equations in bounded three-dimensional domains. This is discontinuous Galerkin that achieves arbitrary high-order accuracy on unstructured tetrahedral meshes for low-frequency range and inviscid case. By using Biot’s Darcy’s dynamic laws, we built scheme can successfully model propagation fluid-saturated porous media when anisotropy of pore structure allowed. Zero-inflow fluxes are used as absorbing boundary conditions. A continuous derivatives time integration high-frequency case, whereas space-time applied conducted convergence test proposed methods. series examples quantify quality our results, comparing them analytic solutions well obtained by other methodologies. In particular, large scale 3D reservoir showed method’s suitability wave-propagation problems complex geometries meshes. The resulting proved be accurate space time, stable asymptotically consistent with diffusion limit.