Effective medium methods and a computational approach for estimating geomaterial properties of porous materials with randomly oriented ellipsoidal pores

被引:19
作者
Suvorov, A. P. [1 ]
Selvadurai, A. P. S. [1 ]
机构
[1] McGill Univ, Dept Civil Engn & Appl Mech, Montreal, PQ H3A 2K6, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
Effective elastic properties; Disc-shaped voids; Self-consistent estimates of elastic properties; Mori-Tanaka estimates of elastic properties; Computational estimates; ELASTIC-MODULI; ROCKS; BEHAVIOR; STRESS;
D O I
10.1016/j.compgeo.2011.04.002
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
The role of effective medium approaches and the differential scheme in estimating the overall elastic moduli of a porous medium with randomly oriented pores is examined. The analytical estimates of the elastic moduli are compared with approximations available in the literature that are valid for small pore aspect ratios. Accuracy of the analytical estimates is further established by performing finite element simulations. Finite element estimates are obtained for a model of a porous medium containing three families of spheroidal pores arranged in a mutually orthogonal configuration. This model is regarded as a close approximation to a porous medium with randomly oriented pores. Also, experimental data available for several sandstones and granites was used to analytically examine the influence of the aspect ratio of pores on overall properties. This information is also used to provide an estimate for the permeability of the porous medium. (C) 2011 Elsevier Ltd. All rights reserved.
引用
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页码:721 / 730
页数:10
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