Numerical investigation of the influence of fractal characteristics on grouting diffusion process in soil-rock mixture

The examination of pore fractal characteristics and tortuosity fractal characteristics in soil-rock mixtures, along with the consolidation process through grouting, is crucial for accurately predicting the mechanical behavior of soil after grouting. The current investigation explores the fractal attributes of soil-rock mixtures, with a specific focus on the fractal features of porosity and tortuosity. A field equation has been developed to couple the seepage field and stress field, incorporating the concept of tortuosity. A diffusion model is subsequently formulated for grouting within strata, employing soil-rock mixtures as the grouting medium. A comparison was conducted to assess the diffusion range of grouting at different time intervals, and an investigation was carried out to examine the self-similarity of the diffusion boundary of cement slurry within the soil-rock mixture. Moreover, the study examines the influence of the fractal characteristics of the soil-rock composite on the grouting diffusion process. The study investigates the relationship between the fractal dimension and the maximum radius of grouting diffusion. The research findings suggest that the porosity and tortuosity features of soil-rock mixtures have a substantial impact on the diffusion behavior of grout within porous media and offer theoretical backing for the implementation of grouting in soil-rock mixture formations.