The distribution and amount of ground ice on Mars is an important issue to be addressed for the future exploration of the planet.The occurrence of interstitial ice in Martian frozen ground is indicated by landforms,such as fluidized ejecta craters,softened terrain,and fretted channels.How-ever,experimental data on the rheology of ice-rock mixture under Martian physical conditions are sparse,and the amount of ground ice that is required to produce the viscous deformation observed in Martian ice-related landforms is still unknown.In our study,we put forward a three-dimensional non-Newtonian viscous finite element model to investigate the behavior of ice-rock mixtures numeri-cally.The randomly distributed tetrahedral elements are generated in regular domain to represent the natural distribution of ice-rock materials.Numerical simulation results show that when the volume of rock is less than 40%,the rheology of the mixture is dominated by ice,and there is occurrence of a brittle-ductile transition when ice fraction reaches a certain value.Our preliminary results contribute to the knowledge of the determination of the rheology and ice content in Martian ice-rock mixture.The presented model can also be utilized to evaluate the amount of ground ice on Mars. The distribution and amount of ground ice on Mars is an important issue to be addressed for the future exploration of the planet. The occurrence of interstitial ice in Martian frozen ground is indicated by landforms, such as fluidized ejecta craters, softened terrain, and fretted channels . How-ever, experimental data on the rheology of ice-rock mixture under Martian physical conditions are sparse, and the amount of ground ice that is required to produce the viscous deformation observed in Martian ice-related landforms is still unknown. In our study , we put forward a three-dimensional non-Newtonian viscous finite element model to investigate the behavior of ice-rock mixtures numeri-cally. The randomly-distributed tetrahedral elements are generated in regular domain to represent the natural distribution of ice-rock materials. Numerical simulation results show that when the volume of rock is less than 40%, the rheology of the mixture is dominated by ice, and there is occur is a brittle-ductile tr ansition when ice fraction reaches a certain value. Our preliminary results contribute to the knowledge of the determination of the rheology and ice content in Martian ice-rock mixture. The presented model can also be utilized to evaluate the amount of ground ice on Mars.