Grouting Diffusion Mechanism in a Single Fracture under Flowing Water Conditions

[Objective] Existing grouting theories and engineering experience are mostly based on hydrostatic or weakly flowing water conditions, making it difficult to accurately describe the diffusion and evolution characteristics of grout under dynamic water-flow environments. It is necessary to systematically reveal the diffusion mechanisms of grout in water-flowing fractures so as to provide theoretical support for grouting design under complex water inrush conditions in water-sealed caverns. In response to engineering conditions involving stable flowing water in a single fracture, this study aims to: (1) reveal the influence mechanisms of fracture geometric characteristics and construction parameters on grout diffusion behavior; (2) quantitatively analyze the controlling effects of key factors on grout diffusion distance, diffusion time, and sealing efficiency; and (3) clarify the relative importance of different influencing factors in the grouting of water-flowing fractures, thereby providing a basis for optimization of grouting parameters and construction decision-making for water-sealed caverns. [Methods] Based on the grout-water two-phase flow theory, a numerical model of grouting in a single fracture with flowing water was established using the finite element method. Variations in water flow velocity within the fracture and the driving effect of grouting pressure were comprehensively considered, and the diffusion, advection, and deposition processes of grout within the fracture were simulated. Through parametric comparative analysis, the effects of fracture aperture, fracture inclination, grouting pressure, flowing water velocity, and fracture boundary extent on the evolution of grout diffusion were systematically investigated. On this basis, a sealing efficiency index was introduced to comprehensively evaluate the grouting performance under different working conditions. [Results] Under flowing water conditions, the grout diffusion pattern, stabilization time, and final sealing performance within fractures were jointly controlled by multiple coupled factors. (1) Fracture inclination had a significant inhibiting effect on grout diffusion. As the fracture inclination increased, the coupling between the gravitational component and the flowing water direction was enhanced, causing the grout to more easily deviate along the down-dip direction. As a result, the ability of grout to migrate against the water flow was weakened, and the diffusion range was markedly restricted. (2) The time required for grout diffusion to reach a stable state increased significantly with an increase in the extent of the fracture domain, because a larger boundary extent provided a greater seepage space for grout diffusion. In contrast, increasing grouting pressure effectively accelerated the advance of the grout diffusion front and shortened the stabilization time, exhibiting a pronounced accelerating effect. (3) In terms of diffusion distance, the effective diffusion distance of grout was inversely proportional to fracture boundary extent and flowing water velocity. Higher flowing water velocity resulted in stronger scouring and transport effects on the grout, thereby reducing its retention capacity within the fracture. Conversely, increases in fracture aperture and grouting pressure facilitated the grout in overcoming water flow resistance, enabling longer diffusion distances and more sufficient fracture filling. (4) Comparative analysis of the influence degrees of various factors indicated that fracture aperture had the most significant effect on grout sealing efficiency, followed in descending order by flowing water velocity, grouting pressure, and fracture boundary extent. This demonstrated that fracture geometric characteristics and hydrodynamic conditions were the key factors controlling the success or failure of grouting under flowing water conditions. [Conclusion] Overall, in strong flowing water environments, relying solely on increasing grouting pressure does not significantly improve grouting performance, and comprehensive design must be carried out by jointly considering fracture aperture characteristics and groundwater hydrodynamic conditions. For areas with larger fracture apertures and higher flowing water velocities, measures such as staged grouting or advance water reduction should be preferentially adopted to enhance grout retention and sealing capacity within fractures.