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首页> 外文期刊>International Journal of Solids and Structures >Effect of pore shape on effective porothermoelastic properties of isotropic rocks
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Effect of pore shape on effective porothermoelastic properties of isotropic rocks

机译：孔隙形状对各向同性岩石有效孔隙弹性的影响

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摘要

The present work is devoted to the determination of the macroscopic poroelastic and porothermoelastic properties of geomaterials or rock-like composites constituted by an isotropic matrix with embedded ellipsoidal inhomogeneities and/or pores randomly oriented. By considering the solution of a single ellipsoidal inhomogeneity in the homogenization problem it is possible to observe the significant influence of the shape of inhomogeneities on the effective porothermoelastic properties. In the particular case of microscopic and macroscopic isotropic behaviors, a closed form solution based on analytical integrate of the Eshelby solution for the single ellipsoidal inhomogeneity can be obtained for the randomly oriented distribution. This result completes the well known solutions in the limiting cases of spherical and penny shape inhomogeneities. Based on recent works on porous rock-like composites such as shales or argillites, an application of the developed solution to a two-level microporomechanics model is presented. The microporosity in homogenized at the first level, and multiple solid mineral phase inclusions are added at the second level. The overall porothermoelastic coefficients are estimated in the particular context of heterogeneous solid matrix. Numerical results are presented for data representative of isotropic rock-like composites. (C) 2007 Elsevier Ltd. All rights reserved.
机译：本工作致力于确定由各向同性基体构成的土工材料或类岩石复合材料的宏观孔隙弹性和孔隙热弹性性质，嵌入的椭圆形不均匀性和/或孔隙随机定向。通过考虑均匀化问题中单个椭圆形不均匀性的解决方案，可以观察到不均匀性形状对有效的多孔弹性特性的重大影响。在微观和宏观各向同性行为的特殊情况下，对于随机取向的分布，可以获得基于单个椭圆体不均匀性的Eshelby解的解析积分的闭式解。该结果在球形和便士形不均匀性的极限情况下完成了众所周知的解决方案。基于对多孔岩石状复合材料（如页岩或泥锌矿）的最新研究，提出了开发的解决方案在两级微孔力学模型中的应用。在第一级将微孔均匀化，并在第二级添加多个固体矿物质相包裹体。在非均质固体基质的特定情况下估计整体孔隙弹性系数。数值结果用于表示各向同性岩石状复合材料的数据。 （C）2007 Elsevier Ltd.保留所有权利。

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