各向异性多孔弹性力学的多孔扩展：与细观力学的联系
Multi-porous extension of anisotropic poroelasticity: linkage with micromechanics
摘要：
我们试图形式化的孔隙弹性理论和有效介质理论的微观力学之间的关系。这两种方法的假设各不相同，但都可以通过考虑材料的不排水响应来联系起来;这是本文的主要重点。为了分析孔隙弹性和微观力学之间的联系，我们并不局限于原来的毕奥理论。相反，我们考虑一个多孔的各向异性多孔弹性，孔隙流体压力可能会有所不同的散装介质内的利益。因此，材料中的任何不均匀性不一定是相互关联的;相反，它们可以形成由不同的孔隙弹性参数和流体压力描述的孤立孔隙集。我们试图将有效的方法内的Biot-like理论和调查的多孔弹性响应的各种微结构。我们显示的情况下，这种实施是有效的，其他人似乎是有问题的。在细观力学分析过程中，我们推导出一个特殊的情况下，圆柱形的横向各向同性-通常假设在常规的实验室三轴试验-其中的对称性是由一组对齐的裂纹。
英文摘要：
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.
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