Cement flow in interaction rock fractures and its corresponding new construction process in slope engineering

•The highlights of this study are as following:•The hydraulic fluidity and groutability of materials are affected by the matrix diversion and coupling.•Cement grouting in fractures has variable perturbation and intensity factors.•The leakage, dilation, and drilling failure of grouting are arisen from the interaction fractures.•The construction process of multi holes and strata injection is developed for rock slope. Cement as the main grouting material is usually used in the plugging and reinforcement of tunnels and rock slopes. The flow and diffusion mechanism of grout in fractures plays a key role in guiding the design. Based on the geological fractures and Navier-Stoke equations, the coupling model of cement flow considering the mutual interaction between fractures is established. The fracture-fracture perturbation factor (FPF) and perturbation intensity factor (PIF) are defined. Considering the coupling effect under the diversion, the disturbance in the cement flow and the grouting parameters are discussed with a case of XW coal mine as background. The results show that, in cement diffusion, the existing fractures can weaken the flow capacity of cement in another fracture, resulting in a power function decline of pressure drop, velocity and its related FPF with coefficient of