Shukla, KhemrajHesthaven, Jan S.Carcione, Jose MYe, Ruichaode la Puenta, JosepJaiswal, Priyank2018-07-162018-07-162018-07-16201910.1007/s10596-019-9809-1https://infoscience.epfl.ch/handle/20.500.14299/147370We use the nodal discontinuous Galerkin method with a Lax-Friedrich flux to model the wave propagation in transversely isotropic and poroelastic media. The effect of dissipation due to global fluid flow causes a stiff relaxation term, which is incorporated in the numerical scheme through an operator splitting approach. The well-posedness of the poroelastic system is proved by adopting an approach based on characteristic variables. An error analysis for a plane wave propagating in poroelastic media shows a convergence rate of O(hn+1). Computational experiments are shown for various combinations of homogeneous and heterogeneous poroelastic media.WavesporoelasticityLax-Friedrichattenuationnumerical fluxtext::journal::journal article::research article