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.

这项研究提出了一种改进的平滑粒子流体动力学（SPH），用于模拟中尺度的液体-断裂相互作用。在这种方法中，引入了可以在短距离内提供排斥力和在长距离上提供吸引力的粒子间力，以对液-液和液-固相互作用进行建模。当在高压下时，这种粒子间作用力可防止SPH粒子聚集并具有高可压缩性。实现了液滴的形成，不同的接触角和液体的实际可压缩性，以证明所提出的基于SPH的方法的能力。此外，在SPH中实施了Drucker-Prager模型和Grady-Kipp损伤模型来描述固体破坏。结果表明，混合模式可以重现类似岩石的3D打印材料上可用的巴西圆盘测试的断裂模式。最后，以中尺度模拟了水力压裂过程。结果表明，考虑到中尺度和固体裂缝的界面效应，提出的SPH框架在模拟液体-裂缝相互作用方面具有潜力。