论文标题
流体流过各向异性和可变形的双孔隙率介质，具有超低基质渗透率：连续框架
Fluid flow through anisotropic and deformable double porosity media with ultra-low matrix permeability: A continuum framework
论文作者
论文摘要
断裂的多孔介质或双孔隙率介质在本质上很常见。同时，由于双模式孔径分布，各向异性，多场耦合和各种流动模式，准确的建模仍然是一个重大挑战。这项研究旨在制定一个可以充分考虑这些关键特征的综合耦合连续框架。在我们的框架中，微裂缝网络中的流体流是按广义的达西定律建模的，其中等效的断裂渗透性与详细的地质特征相比提高。渗透性矩阵中的液体遵循低速度非能流，其特征是阈值和非线性。流体传质被认为是形状因子，压力差和（可变）界面通透性的函数。固体变形依赖于从能量平衡方程得出的热力学一致的有效应力，并且以各向异性的毛弹性理论进行建模。讨论围绕通用的双孔隙媒体展开。模型应用揭示了我们框架捕获耦合，毛弹性系数，各向异性和超低基质渗透性在决定压力和位移场中的关键作用的能力。
Fractured porous media or double porosity media are common in nature. At the same time, accurate modeling remains a significant challenge due to bi-modal pore size distribution, anisotropy, multi-field coupling, and various flow patterns. This study aims to formulate a comprehensive coupled continuum framework that could adequately consider these critical characteristics. In our framework, fluid flow in the micro-fracture network is modeled with the generalized Darcy's law, in which the equivalent fracture permeability is upscaled from the detailed geological characterizations. The liquid in the much less permeable matrix follows a low-velocity non-Darcy flow characterized by threshold values and non-linearity. The fluid mass transfer is assumed to be a function of the shape factor, pressure difference, and (variable) interface permeability. The solid deformation relies on a thermodynamically consistent effective stress derived from the energy balance equation, and it is modeled following anisotropic poroelastic theory. The discussion revolves around generic double porosity media. Model applications reveal the capability of our framework to capture the crucial roles of coupling, poroelastic coefficients, anisotropy, and ultra-low matrix permeability in dictating the pressure and displacement fields.
