Abstract: This paper studies the transient pressure of percolation during one production and one shutting in one dimension porous media with threshold pressure gradient, the differential equations are derived and solved with numerical computation. Basing on numerical solution, it is analyzed that: 1. the relation between the steady pressure at well bore (or at endpoint) and threshold pressure gradient, shut-in time, and the corresponding formulae ore derived; 2. the regulation of transient pressure peak. The result is very useful and will help experiments and applications in the development of low permeability reservoirs withthreshold pressure gradient.

Key words: low permeability reservoirs, threshold pressure gradient, moving Boundary, numerical computation