Abstract
In this study, a numerical model of grouting penetration in a porous medium is established. The fluid flow in the interstices of the porous medium is directly modeled by Navier–Stokes equations. The grouting process is considered as a two-phase flow problem, and the level set method is used to characterize the interaction between grout and groundwater. The proposed model has considered the nuances for each grain during grouting penetration, instead of representing the fluid flow as a continuum process. In the simulation, three kinds of porosity (0.3; 0.4; 0.5) and two kinds of grain size distribution (0.5~1 mm; 1~2 mm) are used. Results show that: the pressure drop along penetration distance is approximately in a linear trend. The variation of filling degree along grouting distance approximately obeys a quadratic polynomial function. The injection pressure is influenced by the porosity and grain size of the porous medium, especially by the former. A theoretical analysis is carried out to propose an analytical solution of the grouting penetration. The analytical solution gives a good estimation when the grain amounts in the porous medium are small, and the difference becomes larger as the grain amounts increase.
Highlights
Academic Editors: Krzysztof Talaśka, In recent years, grouting has been widely used to improve mechanical properties of formations [1,2,3,4]
The fluid flow in the interstices of the porous medium is directly modeled by Navier–Stokes equations
The grouting process is considered a two-phase flow problem, and the level set method is used to characterize the interaction between grout and groundwater
Summary
Academic Editors: Krzysztof Talaśka, In recent years, grouting has been widely used to improve mechanical properties of formations [1,2,3,4]. A large number of laboratory and field studies have been conducted to estimate the permeability of porous media [7,8,9,10] The traditional seepage flow equations, such as Darcy’s law, are no longer applicable for grouting penetration, and the KC equation cannot be used directly to calculate the permeability of the porous medium. Some other researchers conducted numerical simulations on grouting penetration in a porous medium [21,22,23,24] Most of these studies have simplified the microstructures of the porous medium through homogenization, which neglected the tortuosity of the real flow path. The value of porosity is chosen according to some similar previous studies, which investigated two-dimensional fluid flow in porous media [25,26]. Some conclusions and perspectives are drawn from the calculation results
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