复合油藏压裂井产能的有限元分析

Productivity analysis of fractured wells in two-area composite reservoir by finite element method

建立任意形状复合油藏有限导流垂直裂缝井不稳定渗流的数学模型,采用有限元方法进行求解,绘制垂直裂缝井产能动态典型曲线.结果表明,裂缝导流能力、表皮效应及储层非均质性对压裂井产能有显著影响.导流能力越大,压裂井的产能越高,但增加到一定程度后,产能增加幅度减小;表皮效应越严重,裂缝井的产能越低;压裂井产能随着外部区域与内部区域流度比的减小而减小.

The mathematic model of transient flow of finite conductivity vertically fractured well in composite reservoir with arbitrary shape is established and solved by finite element method(FEM).The well bore storage factor and the skin factor are introduced by Laplace transformation and Stethfest inversion.And its typical productivity performance curves are drawn and analyzed.By analysos,it shows that the fractural conductivity,the skin effect and the heterogeneity all have a great effect on the productivity of fractured wells.The greater the fractural conductivity,the higher the output of fractured wells,but the effect is diminishing when the fractural conductivity reaches a certain number.The more obvious the skin effect,the lower the output of fractured wells.And the worse the formation is,the lower the output of fractured well.