Abstract We present a multi-resolution approach for constructing model-based simulations of hydraulic fracturing, wherein flow through porous media is coupled with fluid-driven fracture. The consists hybrid scheme that couples discrete crack representation in global domain to phase-field local subdomain near the tip. addresses issues such as computational expense accurate fracture and difficult...

This paper derives approximate ‘sunset’ similarity solutions for receding plane strain and radially symmetric hydraulic fractures in permeable elastic media close to the point of closure. Local analysis is used show that a fracture has linear aperture asymptote $\hat {w}\sim \hat {s}$ tip, where distance from front. Due regularity asymptote, it possible determine form power series expansions, w...

Abstract Hydraulic fracturing experiments with low-viscosity fluids, such as supercritical CO2, demonstrate the formation of complex fracture networks spread throughout rocks. To study influence viscosity fluids on hydraulic propagation, a hydromechanical-coupled cohesive zone model is proposed for simulation mechanical response rock grains boundary separation. This methodology considers synerg...

Abstract The shale gas reservoir is regarded as a dual medium consisting of fracture (hydraulic and discrete natural network) rock matrix, the seepage process in matrix fully considered mathematical model flow accordance with Darcy's law was established. results show influence order hydraulic geometry on cumulative production. Compared aperture 10 –4 m, when –5 m –6 production reduced by 88.0% ...

In this work, we employ a Bayesian inversion framework to fluid-filled phase-field fracture. We develop robust and efficient numerical algorithm for hydraulic fracture toward transversely isotropic orthotropy anisotropic the fluid-driven coupled problem, three primary fields pressure, displacements, crack are solved while direction-dependent responses (due preferred fiber orientation) enforced ...