Theoretical Research on Sand Penetration Grouting Based on Cylindrical Diffusion Model of Tortuous Tubes

The penetration paths of grouts in sand layers are tortuous, and there is no reasonable grouting theory at present. By employing tortuous circular tubes as the internal pore channels layer, cylindrical diffusion model established for sand-layer grouting. First, permeability porous media average velocity Bingham slurry were deduced by considering tortuosity. Second, based on continuity equation, active steady-state differential equation pressure distribution function region obtained. Finally, combined with indoor test results, attenuation law influencing factors radius discussed. results show that can better characterize process layer. stop condition during reduction gradient to its starting value. has obvious stages. faster area close tube. At 50% maximum radius, 70.01~75.41% total within region. Increasing coefficient reducing viscosity ratio greatly increase radius. These provide a theoretical basis determining parameters future.