Abstract: The retical formula of diffusion parameters of Newtonian fluid based on column–hemispherical penetration grouting is not existence, such as, diffusion radius of hemispheroid, diffusion length belongs to cylinder etc; so it lag far behind the actual grouting engineering. In this study, according to combining with the rheological equation and seepage motion equation of Newtonian fluid, theory formula of diffusion radius of hemispheroid, diffusion length belongs to cylinder based on column–hemispherical penetration grouting were deduced. Relationships between some grouting factors and them based on cylindrical penetration grouting, such as, rheology of Newtonian fluid, grout pressure, groundwater pressure and water temperature of configuration cement, were analyzed theoretically. What’s more, they were validated by means of designing grouting verifying experiments. Experimental results show the theoretical diffusion radius of hemispheroid, diffusion length belongs to cylinder calculated by the formula of diffusion parameters of Newtonian fluid based on column-hemispherical penetration grouting have about 30% of the differences with the actual measurement diffusion radius by grouting experiments; but they are all within the acceptable error limits. Therefore, research achievements may not only provide strong theoretical basis for perfecting the penetration grouting mechanism, but also play a reference guiding role for the theoretical research, design and construction on grouting technique.

Key words: Newtonian fluid, column–hemispherical penetration grouting, diffusion radius of hemispheroid, diffusion length belongs to cylinder