Abstract:When the liquefied water-saturated sand is regarded as a fluid, it is idealized as a kind of shear thinning non-Newtonian fluid. Based on non-Newtonian fluid mechanics, the theoretical analysis was conducted on the liquefied water-saturated sand. According to this, the relationship in zero effective stress state between the shear strain rate and the viscosity can be properly reproduced by pure viscous flow constitutive mode. The Gross model of liquefied water-saturated sand is established by fitting the flow curve of the dynamic torsional shear test results on the basis of predictions resulting from several commonly used pure viscous flow constitutive models. The model representative parameters include the relative density, the consolidation stress and the impact of stress history. The relationships between parameter in Time Dimension K, zero shear apparent viscosity and limit shear apparent viscosity are fitted based on the dynamic torsional shear test results. The physical meanings of the parameters are introduced in the composed function. The research landmarks a theoretical foundation for further analysis of large deformation of liquefied flows based on fluid mechanics theory.