Abstract

Based on the law of conservation of mass and the law of linear infiltration, the theoretical model of slurry density in porous media under the combined influences of convection–diffusion–infiltration is established after applying the Laplace transform. Using a laboratory grouting test, the variation of cement slurry density for different grouting parameters and different times is studied. In addition, the differences between the experimental and theoretical values are analyzed. The results demonstrate that the experimental values of slurry density are positively correlated with time, while the average growth rates of each group are different. The experimental and theoretical values of slurry density are close in some test groups; the deviation rate between the experimental and theoretical values varies between − 12.9% and 30.1%. The average growth rate of the experimental value is smaller than that of the theoretical value. The results have some practical value and can provide a reference for construction design.

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