Computational poroelasticity — A review

摘要

Computational physics has become an essential research and interpretation tool in many fields. Particularly in reser-voir geophysics, ultrasonic and seismic modeling in porous media is used to study the properties of rocks and to charac-terize the seismic response of geologic formations. We pro-vide a review of the most common numerical methods used to solve the partial differential equations describing wave propagation in fluid-saturated rocks, i.e., finite-difference, pseudospectral, and finite-element methods, including the spectral-element technique. The modeling is based on Biot-type theories of dynamic poroelasticity, which constitute a general framework to describe the physics of wave propaga-tion_ We explain the various techniques and discuss numeri-cal implementation aspects for application to seismic modeling and rock physics, as, for instance, the role of the Biot diffusion wave as a loss mechanism and interface waves in porous media.