比奥数
孔力学
离散化
多孔介质
边值问题
机械
有限差分法
数学分析
有限差分
波传播
背景(考古学)
笛卡尔坐标系
声学
声波
物理
数学
几何学
材料科学
多孔性
光学
地质学
古生物学
复合材料
作者
Guillaume Chiavassa,Bruno Lombard
出处
期刊:Communications in Computational Physics
[Global Science Press]
日期:2013-04-01
卷期号:13 (4): 985-1012
被引量:21
标识
DOI:10.4208/cicp.140911.050412a
摘要
Abstract Numerical methods are developed to simulate the wave propagation in heterogeneous 2D fluid/poroelastic media. Wave propagation is described by the usual acoustics equations (in the fluid medium) and by the low-frequency Biot’s equations (in the porous medium). Interface conditions are introduced to model various hydraulic contacts between the two media: open pores, sealed pores, and imperfect pores. Well-posedness of the initial-boundary value problem is proven. Cartesian grid numerical methods previously developed in porous heterogeneous media are adapted to the present context: a fourth-order ADER scheme with Strang splitting for time- marching; a space-time mesh-refinement to capture the slow compressional wave predicted by Biot’s theory; and an immersed interface method to discretize the interface conditions and to introduce a subcell resolution. Numerical experiments and comparisons with exact solutions are proposed for the three types of interface conditions, demonstrating the accuracy of the approach.
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