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01-05-2012 | Original Paper | Issue 3/2012

Rock Mechanics and Rock Engineering 3/2012

An Elastic Stress–Strain Relationship for Porous Rock Under Anisotropic Stress Conditions

Journal:
Rock Mechanics and Rock Engineering > Issue 3/2012
Authors:
Yu Zhao, Hui-Hai Liu

Abstract

A stress–strain relationship within porous rock under anisotropic stress conditions is required for modeling coupled hydromechanical processes associated with a number of practical applications. In this study, a three-dimensional stress–strain relationship is proposed for porous rock under elastic and anisotropic stress conditions. This relationship is a macroscopic-scale approximation that uses a natural-strain-based Hooke’s law to describe deformation within a fraction of pores and an engineering-strain-based Hooke’s law to describe deformation within the other part. This new relationship is evaluated using data from a number of uniaxial and triaxial tests published in the literature. Based on this new stress–strain relationship, we also develop constitutive relationships among stress, strain, and related stress-dependent hydraulic/mechanical properties (such as compressibility, shear modulus, and porosity). These relationships are demonstrated to be consistent with experimental observations.

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