Multi‐porous extension of anisotropic poroelasticity: Linkage with micromechanics
Multi‐porous extension of anisotropic poroelasticity: Linkage with micromechanics
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各向异性孔隙弹性的多孔延伸：与微观力学的联系
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发表时间：
2023
期刊：
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通讯作者：
T. Mitchell
中科院分区：
文献类型：
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作者：
F. P. Adamus;D. Healy;P. Meredith;T. Mitchell
我们试图形式化孔隙弹性理论与微观力学有效介质理论之间的关系。这两种方法的假设有所不同，但都可以通过考虑材料的不排水响应来联系起来；这就是本文的主要焦点。为了分析孔隙弹性与微观力学之间的联系，我们并不局限于毕奥的原始理论。相反，我们考虑各向异性孔隙弹性的多孔扩展，其中孔隙流体压力可能在感兴趣的本体介质内变化。因此，材料中的任何不均匀性不一定是相互关联的；相反，它们可能形成由不同的孔隙弹性参数和流体压力描述的孤立的孔隙组。我们尝试将有效的方法纳入类毕奥理论中，并研究各种微观结构的孔隙弹性响应。我们展示了这种实施有效的情况和其他似乎有问题的情况。在微观力学分析过程中，我们得出了圆柱横向各向同性的特殊情况（通常在传统实验室三轴测试中假设），其中对称性是由一组对齐的裂纹引起的。
We attempt to formalise the relationship between the poroelasticity theory and the effective medium theory of micromechanics. The assumptions of these two approaches vary, but both can be linked by considering the undrained response of a material; and that is the main focus of the paper. To analyse the linkage between poroelasticity and micromechanics, we do not limit ourselves to the original theory of Biot. Instead, we consider a multi‐porous extension of anisotropic poroelasticity, where pore fluid pressure may vary within the bulk medium of interest. As a consequence, any inhomogeneities in the material are not necessarily interconnected; instead, they may form isolated pore sets that are described by different poroelastic parameters and fluid pressures. We attempt to incorporate the effective methods inside Biot‐like theory and investigate the poroelastic response of various microstructures. We show the cases where such implementation is valid and the others that appear to be questionable. During micromechanical analysis, we derive a particular case of cylindrical transverse isotropy—commonly assumed in conventional laboratory triaxial tests—where the symmetry is induced by sets of aligned cracks.