Solution of the model of dual-permeability reservoir based on the similar constructive method

In the paper, we establish a seepage model which satisfies a constant rate, the rate is generally called outer boundary conditions including the infinite condition, the closed condition and the constant condition, and also the rate excludes the effects of the skin and wellbore storage effects. This model can help us to solve the double permeability reservoirs problem under the condition of the plane radial flow. Firstly, this model produces non dimensional treatment by introducing non dimensional quantity, and then obtains a problem which has boundary value in Laplace space; secondly, we can use a method of Laplace transform in this model; thirdly, the solutions we get are proved to have a similar structural equation. Therefore, a new method for solving such seepage model is obtained-similar constructive method. And also, this paper transforms the problem into the problem which has boundary value and can avoid the complicating calculate of the model. As an innovative approach, similar constructive method can be obtained easily to construct with a simple arithmetic, to be mastered and be used in many practical problems in engineering optimization.