Diffuse interface approach to modeling wavefields in a saturated porous medium

作者：

Highlights：

• New thermodynamically compatible two-phase model in conjunction with the diffuse interface method is applied to description of small amplitude waves in porous media.

• Method is applicable for wavefields simulations in regions with interfaces between media with different porosity, including pure phases.

• Efficient finite difference method on a staggered grid is developed and applied to solve model equations.

• Results of simulations of the series of test problems show physically correct results.

摘要

•New thermodynamically compatible two-phase model in conjunction with the diffuse interface method is applied to description of small amplitude waves in porous media.•Method is applicable for wavefields simulations in regions with interfaces between media with different porosity, including pure phases.•Efficient finite difference method on a staggered grid is developed and applied to solve model equations.•Results of simulations of the series of test problems show physically correct results.

论文关键词：Waves in saturated porous medium,Two-phase model,Diffuse interface,Finite difference scheme,Staggered grid

论文评审过程：Received 29 April 2020, Revised 3 December 2020, Accepted 6 January 2021, Available online 27 January 2021, Version of Record 27 January 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.125978