@article {DelaPuente2008,
	title = {{Discontinuous Galerkin methods for wave propagation in poroelastic media}},
	journal = {GEOPHYSICS},
	volume = {73},
	number = {5},
	year = {2008},
	month = {sep},
	pages = {T77{\textendash}T97},
	abstract = {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{\textquoteright}s equations and Darcy{\textquoteright}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{\textquoteright}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. {\textcopyright} 2008 Society of Exploration Geophysicists. All rights reserved.},
	issn = {0016-8033},
	doi = {10.1190/1.2965027},
	url = {http://www.scopus.com/inward/record.url?eid=2-s2.0-53849111940\&partnerID=tZOtx3y1},
	author = {de la Puente, Josep and Dumbser, Michael and K{\"a}ser, Martin and Igel, Heiner}
}
