Abstract: Multi-factors analysis of the parameters which influences the productivity of perforated horizontal well is conducted, the real perforation is simulated and the relative mathematical model is established to describe the three-dimensional physical model characteristics of flow field through porous media in perforated horizontal well and continuity equation. The equation of variation for the finite element derivation is deduced for obtaining the solution of the elliptical boundary value problem. The equation of variation is solved by applying the large finite element analysis software-ANSYS through the steps of building geometry, defining material property, grid subdivision etc. The new method solving the productivity ratio of perforated horizontal well is acquired. By the way of quadratic regression analysis in orthogonal designing, the quantitative relationship between PR of perforated horizontal well and perforation parameters in different cases are obtained by sensitivity and multi-factors analysis of every parameter. At the same time, the order of essentiality that the perforation parameters influence the PR of perforated horizontal well is gained. The corresponding software is designed to supervise optimal plan of horizontal well perforation parameters to gain the best production effectiveness. The achievement of this research is popularized and applied in Tazhong 16 block and perforated horizontal wells in Liaohe Oilfield, and perfect effect is acquired.

Key words: horizontal well, perforation, productivity, finite element, ANSYS, multi-factors analysis