Abstract The thermo-poroelastic model for the fluid migration and heat transport around reservoir may be employed to deal with many geophysical problems including underground resources and bounding rock system, etc. In this paper, interactions between multiple ellipsoidal inhomogeneities with arbitrary orientations and eigenstrains caused by the change of pore fluid pressure, localized heating and cooling are investigated. On the basis of equivalent inclusion method (EIM), an approximate analytical method is presented to evaluate the full displacement, strain and stress fields for arbitrarily distributed inhomogeneities. This method is an effective and straightforward way to study the elastic fields of multiple inhomogeneities, since it avoids increasing the computational complexity. The illustrative benchmark studies are served to demonstrate the accuracy of the present algorithm. Furthermore, applications in geostructures for the elastic distributions of arbitrarily orientated inhomogeneities subjected to the thermo-porous eigenstrains are provided, and the closed-form solutions for the degenerate case of spheroidal inclusions for both the prolate and oblate shapes, spherical and elliptical cylindrical inclusion are presented.

中文翻译：

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多个任意取向的不均匀性与热孔本征应变的相互作用及其在地热资源中的应用

摘要 储层周围流体运移和传热的热孔弹性模型可用于处理地下资源、围岩系统等地球物理问题。研究了孔隙流体压力的变化、局部加热和冷却。在等效夹杂法(EIM)的基础上，提出了一种近似解析方法来评估任意分布的不均匀性的全位移、应变和应力场。该方法是研究多重不均匀性弹性场的一种有效且直接的方法，因为它避免了增加计算复杂度。说明性基准研究用于证明本算法的准确性。此外，提供了受热多孔本征应变的任意取向的不均匀性的弹性分布在地质结构中的应用，并提供了扁长形和扁圆形、球形和椭圆形圆柱形包裹体的球状包裹体退化情况的封闭形式解呈现。