<p>In underground engineering, grouting serves as a critical method to prevent and control water inflow and water inrush disasters in caverns. Because of the combined action of the viscosity time-varying behavior and inertia effects, grout flow exhibits pronounced nonlinear characteristics during its diffusion through rock fractures. Based on theoretical analysis and numerical simulation, this study proposes nonlinear flow models for unidirectional and radial flow configurations that consider both time-varying viscosity and inertia, and establishes a unified expression for the flow models. To quantify the magnitude of the grout non-Darcy effects, the grout non-Darcy effect factors are proposed. The results show that the viscosity time-varying nonlinear flow models can effectively describe the nonlinear flow behavior of grout in a rough single fracture. Under steady state conditions, the non-Darcy effect factor reaches a minimum at a certain grouting flow rate, which characterizes the flow state in which the relative contribution of the non-Darcy effect to the total hydraulic gradient is minimized. The minimum point in the unidirectional flow configuration is more susceptible than that in the radial flow configuration. Under the same flow rate, the inertial effect is more pronounced under radial flow than under unidirectional flow, due to differences in the spatial distribution of flow velocity and the stronger tangential velocity component generated by radial flow.</p>

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Flow Models and Characteristics of Grout Flow in Rock Fractures Considering Both the Inertia Effects and Time-Varying Viscosity

  • Xuechen Zhang,
  • Liping Qiao,
  • Jie Liu,
  • Kanglin Li,
  • Zhechao Wang,
  • Wei Li

摘要

In underground engineering, grouting serves as a critical method to prevent and control water inflow and water inrush disasters in caverns. Because of the combined action of the viscosity time-varying behavior and inertia effects, grout flow exhibits pronounced nonlinear characteristics during its diffusion through rock fractures. Based on theoretical analysis and numerical simulation, this study proposes nonlinear flow models for unidirectional and radial flow configurations that consider both time-varying viscosity and inertia, and establishes a unified expression for the flow models. To quantify the magnitude of the grout non-Darcy effects, the grout non-Darcy effect factors are proposed. The results show that the viscosity time-varying nonlinear flow models can effectively describe the nonlinear flow behavior of grout in a rough single fracture. Under steady state conditions, the non-Darcy effect factor reaches a minimum at a certain grouting flow rate, which characterizes the flow state in which the relative contribution of the non-Darcy effect to the total hydraulic gradient is minimized. The minimum point in the unidirectional flow configuration is more susceptible than that in the radial flow configuration. Under the same flow rate, the inertial effect is more pronounced under radial flow than under unidirectional flow, due to differences in the spatial distribution of flow velocity and the stronger tangential velocity component generated by radial flow.