The diffusion path of grout in porous media has a significant effect on the diffusion range and grouting effect. Based on the fractal characteristics and the seepage motion equation of Bingham fluid in porous media

the penetration grouting mechanism of Bingham fluid considering the diffusion path was revealed through theoretical analysis

and verified by the penetration grouting test carried out by the team in the previous studies. The effects of porosity of porous media

water-cement ratio of Bingham cement slurry

permeability coefficient of porous media

grouting pressure and groundwater pressure on diffusion radius are analyzed. In addition

a 3D numerical simulation program of penetration grouting mechanism of Bingham fluid considering the diffusion path was developed through Comsol Multiphysics platform. Then the penetration and diffusion morphology effect of Bingham cement grout in porous media was investigated by the developed simulation program. The results show that the theoretical calculation value of diffusion radius obtained by using the Bingham fluid penetration grouting mechanism considering the diffusion path is closer to the experimental value than that obtained by the spherical diffusion formula of Bingham fluid penetration grouting without considering the diffusion path. The results can provide theoretical support for practical grouting engineering.