| Natural gas has the characteristics of clean, environmental protection, high efficiency and so on.The demand of natural gas increases with the improve of the social environment protection requirements. China has abundant natural gas reservoir, but the development of gas reservoir is complex. The tight gas reservoir occupies a large proportion. The most effective way is hydraulic fracturing, but the modern well test analysis method for multi-layer fracturing gas wells is not the most comprehensive and mature. Therefore, the study of the stratified fracturing gas well productivity analysis has important guidance for field development of multi-layer oilfield.In this paper, the Green function of one-dimensional unbounded layer is deduced by decomposing the one-dimensional unstable seepage model, applying the limit theory and Laplace transform. The Green function of the multi-dimensional layer is obtained by the Newmann product method. To solve the rectangular formation in eccentric vertical well unsteady pressure distribution, showing the Green’s function method in the application of the link, by asymptotic analysis of the late quasi steady pressure function approximate flow type and function approximation.In this paper, a finite diversion vertical fractured well model is established by the integration of the sink point method. And the distribution function of the seepage pressure and the decreasing function of the flow rate are obtained. The main characteristics of the variation of borehole wall pressure and the calculation of the decreasing flow of the characteristics of the flow decline are explained by single parameter analysis.In this paper, the analysis of the productivity of multi - layered production wells is given by deduction of convolution theorem.The analytical solution of the unstable transfusion model of the multi-layer circular reservoir and multi-layer rectangular reservoir with stratified fracturing is presented. Finally, the capacity analysis and calculation method is formed. Using VC++6.0, the basic data input, curve drawing, results data output module, can be easily analyzed and calculated. |