Abstract

The purpose of the present work is to develop a quasi‐3D numerical method that can be used to study the diffusion mechanism of grout injection in a rock fracture based on the collocated structured grid of the finite volume method (FVM). Considering the characteristics of fracture in geometry that the aperture is much less than its length and width, the Hele‐Shaw model is introduced to deduce the z-derivatives of velocities u and v at walls, which is a function of the relevant average velocity and the fracture aperture. The traditional difference scheme for the diffusive term is partly substituted with the derived analytical expressions; hence a three‐dimensional problem of grout flow in the parallel fracture can be transformed into a two‐dimensional one that concerns fracture aperture. The new model is validated by the analytical solution and experimental data on three cases of grouting in the parallel‐plate fracture. Compared with the results from ANSYS‐Fluent software, the present model shows better agreement with the analytical solution for the distribution of pressure and velocity. Furthermore, the new model needs less grid unit, spends less time, but achieves greater accuracy. The complexity of the grout flow field in the rock fracture is reduced; thus the computational efficiency can be improved significantly.

Highlights

  • Grouting is widely used as the main means of antiseepage reinforcement of fractured rock mass in the fields of civil engineering, water conservancy and mining

  • In terms of the analytical method, the first discussion of Bingham fluid flow in the fracture channel emerged with the work of Wallner [2]

  • Based on the traditional three-dimensional finite volume method (FVM), the aim of this paper is to develop a quasi-3D model to simulate the grout injection in the parallel fracture considering its geometric characteristics

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Summary

Introduction

Grouting is widely used as the main means of antiseepage reinforcement of fractured rock mass in the fields of civil engineering, water conservancy and mining. The knowledge of grout diffusion mechanism in the rock fracture can significantly guide the design and construction of the grouting project. The rock mass is usually considered as a discontinuity separated by fractures, in which the grout flows, spreads, and seals the channel. In terms of the analytical method, the first discussion of Bingham fluid flow in the fracture channel emerged with the work of Wallner [2]. The grout transport was described as linear flow in a channel, and the penetration length was calculated by the one-dimensional channel flow model.

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