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

来源：

COMPUTERS AND GEOTECHNICS | 2011年 / 38卷 / 05期

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

页码：721 / 730

页数：10

共 30 条

[11] Effective thermal conductivity of partially saturated porous rocks [J].

Gruescu, C. ;

Giraud, A. ;

Homand, F. ;

Kondo, D. ;

Do, D. P. .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2007, 44 (3-4) :811-833

[12] TRANSPORT-PROPERTIES OF ROCKS FROM STATISTICS AND PERCOLATION [J].

GUEGUEN, Y ;

DIENES, J .

MATHEMATICAL GEOLOGY, 1989, 21 (01) :1-13

[13] Crack-induced anisotropy in crustal rocks: Predicted dry and fluid-saturated Thomsen's parameters [J].

Gueguen, Yves ;

Sarout, Joel .

PHYSICS OF THE EARTH AND PLANETARY INTERIORS, 2009, 172 (1-2) :116-124

[14] A comparative micromechanical analysis of the effective properties of a geomaterial: Effect of mineralogical compositions [J].

Guery, A. Abou-Chakra ;

Cormery, F. ;

Shao, J. -F. ;

Kondo, D. .

COMPUTERS AND GEOTECHNICS, 2010, 37 (05) :585-593

[15] A SELF-CONSISTENT MECHANICS OF COMPOSITE MATERIALS [J].

HILL, R .

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1965, 13 (04) :213-+

[16] ELASTIC PROPERTIES OF REINFORCED SOLIDS - SOME THEORETICAL PRINCIPLES [J].

HILL, R .

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1963, 11 (05) :357-372

[17]

KACHANOV M, 1994, ADV APPL MECH, V30, P259

[18] STUDY OF DIFFERENTIAL SCHEME FOR COMPOSITE-MATERIALS [J].

MCLAUGHLIN, R .

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1977, 15 (04) :237-244

[19] AVERAGE STRESS IN MATRIX AND AVERAGE ELASTIC ENERGY OF MATERIALS WITH MISFITTING INCLUSIONS [J].

MORI, T ;

TANAKA, K .

ACTA METALLURGICA, 1973, 21 (05) :571-574

[20] Upscaling of Navier-Stokes equations in porous media: Theoretical, numerical and experimental approach [J].

Narsilio, Guillermo A. ;

Buzzi, Olivier ;

Fityus, Stephen ;

Yun, Tae Sup ;

Smith, David W. .

COMPUTERS AND GEOTECHNICS, 2009, 36 (07) :1200-1206

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