Modelling Porous and Deformable Media with Several Scales ofHeterogeneity

具有多种异质性尺度的多孔和可变形介质建模

• 批准号: 9019976
• 负责人: Chiang Mei
• 金额: --
• 依托单位: Massachusetts Institute of Technology
• 依托单位国家: 美国
• 项目类别: Continuing grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-08-01 至 1994-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9019976&HistoricalAwards=false
• 关键词: Modelling; Porous; Deformable; Media; Several

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.

本研究提出发展一种异质多孔弹性介质理论，其材料特性由几种不同的长度尺度（例如颗粒、层、全局）来表征。迄今为止针对复合介质开发的均质化理论的现代数学技术将得到扩展。将研究准静态热固结和动态孔隙弹性的本构系数。将对简单但通用的 3D 微观结构（Wigner-Seitz 多面体）进行显式计算。横观各向同性宏观方程将解决地热羽流上升、淹没点汇等以及地震波传播等物理问题。