Bulletin of Computational Applied Mathematics (Bull CompAMa)
Modeling seismic wave propagation using staggered-grid mimetic finite differences
Freysimar Solano-Feo, Juan Guevara-Jordan, Carlos González-Ramiréz, Otilio Rojas-Ulacio, Beatriz Otero-Calvinyo
Mimetic finite difference (MFD) approximations of continuous gradient and divergence operators satisfy a discrete version of the Gauss-Divergence theorem on staggered grids. On the mimetic approximation of this integral conservation principle, an unique boundary flux operator is introduced that also intervenes on the discretization of a given boundary value problem (BVP). In this work, we present a second-order MFD scheme for seismic wave propagation on staggered grids that discretized free surface and absorbing boundary conditions (ABC) with same accuracy order. This scheme is time explicit after coupling a central three-level finite difference (FD) stencil for numerical integration. Here, we briefly discuss the convergence properties of this scheme and show its higher accuracy on a challenging test when compared to a traditional FD method. Preliminary applications to 2-D seismic scenarios are also presented and show the potential of the mimetic finite difference method.
Keywords: acoustic waves; staggered grids; mimetic finite differences; absorbing conditions.