A modified smoothed particle hydrodynamics for modelling fluid-fracture interaction at mesoscale

Abstract

This study presents a modified smoothed particle hydrodynamics (SPH) for modelling liquid-fracture interaction at mesoscale. In this approach, an interparticle force that can provide repulsive force in the short-range and attractive force in the long-range is introduced to model the liquid–liquid and liquid–solid interactions. This interparticle force prevents the SPH particles from clustering and having high compressibility when under high pressure. The formation of a droplet, different contact angles and realistic compressibility of liquid are achieved to demonstrate the capability of the proposed SPH based approach. Moreover, the Drucker–Prager model and the Grady–Kipp damage model are implemented in SPH to describe the solid failure. The results show that the mixed-mode can reproduce the fracture patterns of available Brazilian disc tests on rock-like 3D printed material. Finally, a process of hydraulic fracturing is simulated at mesoscale. The results demonstrate that the proposed SPH framework has potential in modelling liquid-fracture interaction with the consideration of interfacial effects at mesoscale and solid fracture.