An immersed phase field fracture model for microporomechanics with Darcy–Stokes flow

This paper presents an immersed phase field model designed to predict the fracture-induced flow due brittle fracture in vuggy porous media. Due multiscale nature of pores material, crack growth may connect previously isolated pores, which leads conduits. mechanism has important implications for many applications such as disposal carbon dioxide and radioactive materials hydraulic mining. To understand detailed microporomechanics that causes flow, we introduce a new framework where is not only used indicator function damage solid skeleton but also pore space. By coupling Stokes equation governs fluid transport voids, cavities, cracks Darcy’s deformable media, our proposed enables us capture fluid–solid interaction constituents during growth. Numerical experiments are conducted analyze how presence cavities affects accuracy predictions based on homogenized effective medium