Abstract

A diffuse-interface method for simulating wave fields in saturated elastic porous media is addressed. Wave processes are described by a hyperbolic system of first-order differential equations derived from the theory of thermodynamically consistent systems of conservation laws of continuum mechanics. This unified system of governing equations provides a universal way for the simulation of wave fields in rock samples with sharp interfaces between layers with different elastic/poroelastic petrophysical properties. A good qualitative agreement of numerical calculations with the classical theory of elasticity and Biot’s model is shown.

中文翻译：

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多孔介质中波场的扩散界面模拟

摘要

提出了一种在饱和弹性多孔介质中模拟波场的扩散界面方法。波动过程是由一阶微分方程的双曲系统描述的，该双阶微分方程是从连续力学力学守恒律的热力学一致系统理论中得出的。这种统一的控制方程系统为模拟岩石样品中的波场提供了一种通用方法，该岩石样品在具有不同弹性/孔隙弹性岩石物理特性的层之间具有清晰的界面。显示了数值计算与经典弹性理论和比奥模型的良好定性一致性。