Grout diffusion model in porous media considering the variation in viscosity with time

Abstract

Grouting engineering is widely used in water plugging for geotechnical engineering. However, grout is usually treated as a Newton fluid and the viscosity is considered unchangeable over time during the grouting design process. This study proposes a grout diffusion model for porous media that considers the variation in viscosity with time. The flow equation is derived for a single smooth tubule. Then, the microequation of Bingham grout flowing in porous media is obtained. Finally, an assembled diffusion model of spheres and cylinders for grouting using a perforated pipe is proposed. A numerical simulation method is used to verify the grout diffusion mode. The research results can guide grouting design and practical grouting engineering in water plugging and reinforcement.