Quasi-isotropic Biot’s Tensor for Anisotropic Porous Rocks: Experiments and Micromechanical Modelling

Hu, Cong; Lemarchand, Éric; Dormieux, Luc; Skoczylas, Frédéric

doi:10.1007/s00603-020-02147-7

Cited by 2 publications

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References 10 publications

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“…At the first-step homogenization, the rock block with the assumption of uniformly distributed penny-shaped cracks embedded is homogenized by the Eshelby solution-based upscaling procedure. Following the free energy of saturated cracked rocks (Chen et al 2013, Zhu 2016, the associated free enthalpy of rock block using the Mori-Tanaka homogenization scheme can be obtained by Legendre-Fenchel transform of the free energy (Zhu et al 2008 (2) where is the macroscopic strain contributed by the cracks, β and γ are the volumetric averaging of opening and sliding of cracks, is the unit sphere surface accounting for uniform randomly-distributed cracks, denotes the unit normal vector of randomly-distributed cracks; is the isotropic elastic compliance tensor of the solid matrix, which is characterized by its Poisson's ratio and Young's modulus ; H 0 and H 1 are two elastic parameters calculated by and ; is the second-order identity tensor; is the unit normal vector of bedding planes; is the microscopic damage variable defined by crack density, denotes the number of cracks per unit volume, a is the average radius; , B are the Biot modulus and Biot coefficient tensor of cracked rock blocks, they are related to the homogenized effective tensor of cracked rocks, with uniform randomly-distributed cracks in rock blocks an isotropic Biot coefficient tensor is used for simplification (Xie et al 2012, Hu et al 2020, , , and are the Biot coefficient and initial porosity for rock blocks.…”

Section: Free Enthalpy Of Saturated Layered Rocksmentioning

confidence: 99%

A micromechanical hydro-mechanical-damage coupled model for layered rocks considering multi-scale structures

Liu

Zheng

Zhang

et al. 2021

International Journal of Rock Mechanics and Mining Sciences

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An anisotropic H-M-D coupled model was established for saturated layered rocks containing arbitrarily-distributed cracks of smaller scales and orientated bedding planes of much larger scales in the framework of thermodynamics. The impacts of anisotropic damage growth and frictional sliding of cracks and shear sliding and dilatancy of bedding planes, as well as the interaction between cracks and bedding planes on the deformation and permeability of layered rocks in coupled HM loading conditions, are simultaneously considered in the proposed model. Numerical implementation of the nonlinear coupled model was developed based on the TOUGHREACT, which is a well-established simulator for multiphase fluid flow and reactive transport analysis. The proposed model was first validated with laboratory water injection test results on rock blocks, and then used to study the effects of injection rates, in-situ stresses and existed bedding planes on fluid injection processes at the field scale, demonstrating the importance to consider the variation of multi-scale structures for better understanding the coupled HM responses in layered rocks.

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