Abstract: The control equations,initial conditions and boundary conditions related to low permeability flow with moving-boundary are given in dimensionless representations.Subsequently,meshless methods were introduced to simulate these problems and numerical results were obtained.Gringarten-Bourdet graphs are used to analyze the bottom well pressure.To investigate the propagation of moving-boundary,a method to determine the position of moving-boundary is presented and the propagation curves of moving-boundary in different parameters are discussed.