Fluid flow through anisotropic and deformable double porosity media with ultra-low matrix permeability: A continuum framework

Fractured porous media or double porosity 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 formulate comprehensive coupled continuum framework that could adequately consider these critical characteristics. In our framework, fluid micro-fracture network is modeled with generalized Darcy's law, which equivalent fracture permeability upscaled from detailed geological characterizations. The liquid much less permeable matrix follows low-velocity non-Darcy characterized by threshold values non-linearity. mass transfer assumed be function of shape factor, pressure difference, (variable) interface permeability. solid deformation relies on thermodynamically consistent effective stress derived energy balance equation, it following anisotropic poroelastic theory. discussion revolves around generic media. Model applications reveal capability capture crucial roles coefficients, ultra-low dictating displacement fields.