Biot’s theory allows incorporation of permeability and viscosity in computing seismic amplitudes for a porous media that is fully saturated with a single phase fluid. In its original form, Biot formulated the dynamical system considering the viscous dissipation for a very simple pore geometry. In this study, we reformulated the Biot’s poroelastic system using dynamic permeability model developed by Johnson-Koplik-Dashen (JKD) to obtain a generic system defining the broad band Biot’s system across entire frequency range. This system results into hyperbolic system of partial differential equations describing the poroelasticity with out any constraints on pore geometry and source frequency. Numerical solution of the system is obtained using a high order nodal Discontinuous Galerkin (DG) scheme with a penalized central flux, dealing with the natural boundary conditions implicitly. In order to circumvent the effect of , an approach of Strang’s splitting is adopted, and thus a two step scheme is implemented as predictor (DG) and corrector operators (Strang Splitting). This paper, for the first time, presents a model and DG implementation with a penalized central flux for borad-band Biot’s poroelastic wave equations.
Presentation Date: Wednesday, September 27, 2017
Start Time: 3:05 PM
Location: 381A
Presentation Type: ORAL
