The mathematic model of transient flow of finite conductivity vertically fractured well in composite reservoir with arbitrary shape is established and solved by Finite Element Method(FEM).And the well bore storage factor and the skin factor are introduced by Laplace transformation and Stethfest inversion.Taking the two-area and three-area composite reservoirs as an example,the pressure behavior curves are also drawn.By analysis,as for the existence of the fracture and composite areas,the pressure behavior c...