In this paper, based on the actual reservoir models, combined with the theory of similar structure of complex reservoir and percolation mechanism of complex differential equations, solution of nonlinear radial compound reservoir with different boundary conditions and boundary conditions under the influence of flow model, four composite reservoir model is established, and gives out a new method to solve the complex mathematical model, named the similar constructive method, and gives the concrete steps of the method. The specific process of the method are as follows: the nonlinear reservoir model is linearized firstly by using the variable substitution, and then the composite type equation in Laplace space of the boundary value problem by using the Laplace transform, and then using the similar structure theory of complex differential equation, Laplace space in the region of the reservoir pressure and bottom hole pressure solution is obtained. |