- journal_title：Geophysics
- Contributor：Josep de la Puente ; Michael Dumbser ; Martin Käser ; Heiner Igel
- Publisher：Society of Exploration Geophysicists
- Date：2008-
- Format：text/html
- Language：en
- Identifier：10.1190/1.2965027
- journal_abbrev：Geophysics
- issn：0016-8033
- volume：73
- issue：5
- firstpage：T77
- section：SEISMIC MODELING AND WAVE PROPAGATION
We have developed a new numerical method to solve the heterogeneous poroelastic wave equations in bounded three-dimensional domains. This method is a discontinuous Galerkin method that achieves arbitrary high-order accuracy on unstructured tetrahedral meshes for the low-frequency range and the inviscid case. By using Biot's equations and Darcy's dynamic laws, we have built a scheme that can successfully model wave propagation in fluid-saturated porous media when anisotropy of the pore structure is allowed. Zero-inflow fluxes are used as absorbing boundary conditions. A continuous arbitrary high-order derivatives time integration is used for the high-frequency inviscid case, whereas a space-time discontinuous scheme is applied for the low-frequency case. We conducted a numerical convergence test of the proposed methods. We used a series of examples to quantify the quality of our numerical results, comparing them to analytic solutions as well as numerical solutions obtained by other methodologies. In particular, a large scale 3D reservoir model showed the method's suitability to solve poroelastic wave-propagation problems for complex geometries using unstructured tetrahedral meshes. The resulting method is proved to be high-order accurate in space and time, stable for the low-frequency case, and asymptotically consistent with the diffusion limit.