Modelling Porous and Deformable Media with Several Scales ofHeterogeneity

本研究提出了一种异质性理论， 多孔弹性介质，其材料特性是 以几个不同的长度尺度为特征（例如， 颗粒、层、全局）。现代数学技术 均匀化理论，迄今为止发展为复合材料 媒体将扩大。本构系数 准静态热固结和动态热固结 将研究多孔弹性。显式计算a 简单但通用的3D微结构（Wigner-Seitz 多面体）将被执行。横观各向同性 宏观尺度方程将解决几个物理 问题，如上升的地热羽，淹没 点汇等，和地震波传播。

This study proposes to develop a theory of heterogeneous poroelastic media whose material properties are characterized by several distinct length scales (e.g. grains, layers, global). The modern mathematical techniques of homogenization theory, so far developed for composite media will be extended. The constitutive coefficients for quasi static thermal consolidation, and dynamic poroelasticity will be studied. Explicit calculations for a simple but versatile 3-D micro structure (Wigner-Seitz polyhedron) will be performed. The transversely isotropic macroscale equations will be solved for several physical problems such as the rising geothermal plume, the submerged point sink, etc., and seismic wave propagation.