Based on reservoir seepage theory， in view of nonlinear seepage in homogeneous reservoir， established is a seepage model in secondary pressure gradient， bottom hole storage， effective radius and three types of external boundary conditions which include the closed boundary， constant pressure boundary and infinity boundary. The seepage model is linearized through variable substitution. Obtained is the boundary value problem of zero order modification Bessel equation by utilization of Laplace space transformation， which is corresponding to the seepage model in Laplace space. It is proved that solutions of this kind of boundary value problem have similar structures and proposed is a new method—similar constructive method. By this method， the seepage model’s dimensionless reservoir pressure and dimensionless bottom hole pressure in Laplace space are obtained consequently. The similar constructive method is a new method for solving this type of seepage model easily and feasibly