Abstract: The research on mantle mass creep is one of the most important subjects in the field of geology and ore-forming dynamics．It has received a considerable attention in the past century．A new tendency in this aspect is the development of mathematical modeling analysis for the movement of partially molten magma. For the magma ascent by asthenosphere rock flow, some simplified dynamical models are studied and discussed in this paper Firstly，the complex magma movement is simplified to one-dimensional problem of vertical movement so that the basic physical process might be understood．Secondly．Some assumptions are made to get a series of simplified formulae aecorring to the basic principles of fluid flow in a porous medium, for example，the asthenosphere rock is treated as a porous medium saturated with liquid(partially molten magma)and supposed to move vertically at a constant velocity Therefore，some characteristics related to the mechanism of transport of partially molten magma could be obtained from these formulae It is worthy to emphasize that a formula of critical velocitiy could be yielded It shows that the partially molten magma would be produced at some level planes while the rock velocities are smaller than the critical velocity；and it would be produced in some delayed region while the rock velocities are greater than the critical velocity．Finally，some simple numerical calculations have been done by applying the formulae to the partially molten magma of basalt．All these conclusions show the reasons why the energy and the metallogenetic materials could move upward from the asthenosphere to the earth’s surfac, which is consistent with the geologic background and observation，and the magma transport might be of great importance for the further research on mantle creep flow and the dynamics of ore-forming processes．