Improved difference method in numerical simulation of linear seepage flow

In Finite difference method, time step-size adaptation must take decreasing calculating error and time consuming in long time simulation in consideration. Based on finite difference method, a new improved difference method was proposed to solve linear seepage flow: Firstly by Laplace transform time variable was eliminated and Laplace mathematics model was proposed, then the mathematics model was solved by finite difference method, finally the wellbore pressure or production was obtained by numerical Inversion algorithm. The calculating results show that, the calculating error of improved difference method is smaller than finite difference method, though it has high time consuming in each step calculating, the improved difference method has more advantage in long time simulation because calculating any moment simulation doesn´t rely on other moment calculating results.