Abstract:

In view of the adaptability of finite analytic method for irregular unit，a fivepoint element scheme of finite analytic method was established in the present study to solve unsteady groundwater flow equation.The three typical questions of groundwater were calculated with the method proposed.In comparison with the analytic solution and predecessor's computed result，the result of the 5point element scheme of finite analytic method tallies well with analytic solution and has higher precision than the solution of finite element and boundary element.Moreover，it is shown that it has a simple computational process，good stability and quick convergence rate，and it can adapt well in complex geometry region.It is proposed that the computational form reported in this paper may also be applied in other irregular region.

Key words: unsteady groundwater flow, finite analytic method, irregular region, laplace equation