Multi‐porous extension of anisotropic poroelasticity: Consolidation and related coefficients
Multi‐porous extension of anisotropic poroelasticity: Consolidation and related coefficients
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DOI：
10.1002/nag.3727
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发表时间：
2023-03
影响因子：
4
通讯作者：
F. P. Adamus;D. Healy;P. Meredith;T. Mitchell;A. Stanton‐Yonge
中科院分区：
文献类型：
--
作者：
F. P. Adamus;D. Healy;P. Meredith;T. Mitchell;A. Stanton‐Yonge
提出了各向异性孔隙弹性理论的概化。在大尺度上，介质被认为是准静态的，这是Biot最初的假设。在较小的尺度上，我们区分出不同组的孔隙或裂缝，这些孔隙或裂缝以不同的流体压力为特征，这是Aifantis的原始孔隙弹性延伸。因此，瞬时和时间相关的变形都会导致流体含量的变化，而这些变化在每一组中都是不同的。我们提出了这种现象的方程，其中假定固体基质和孔隙集的各向异性。在我们的扩展中，提出了新的涉及固相和流体相的孔隙弹性系数，并确定了它们的物理意义。为了证明我们的方程的实用性并强调新系数的意义，我们对三重孔隙固结进行了数值模拟。这些模拟揭示了弱连接孔隙集在排水行为中的正孔隙压力瞬态，这可能导致材料的力学弱化。
We propose the generalization of the anisotropic poroelasticity theory. At a large scale, a medium is viewed as quasi‐static, which is the original assumption of Biot. At a smaller scale, we distinguish different sets of pores or fractures that are characterized by various fluid pressures, which is the original poroelastic extension of Aifantis. In consequence, both instantaneous and time‐dependent deformation lead to fluid content variations that are different in each set. We present the equations for such phenomena, where the anisotropic properties of both the solid matrix and pore sets are assumed. Novel poroelastic coefficients that relate solid and fluid phases in our extension are proposed, and their physical meaning is determined. To demonstrate the utility of our equations and emphasize the meaning of new coefficients, we perform numerical simulations of a triple‐porosity consolidation. These simulations reveal positive pore pressure transients in the drained behaviour of weakly connected pore sets, and these may result in the mechanical weakening of the material.