定井底流压下有限导流垂直裂缝井的理论模型Theoretical Model for a Well with a Finite-Conductivity Verti-cal Fracture on Constant Bottom-Hole Pressure
程博,刘常红,翟云芳,赵学栋
CHENG Bo ; LIU Chang-hong; ZHAI Yun-fang; ZHAO Xue-dong (1.China University of Geosciences;
摘要(Abstract):
人工压裂后在油气藏中产生了水力裂缝,油气井的生产动态已经成为具有水力裂缝的油藏工程问题,为了经济合理地开发需要分析评价压裂效果,预测产量。分析研究了在无限大均质地层中定井底流压生产条件下有限导流垂直裂缝井的流量动态,建立其渗流模型,并利用牛曼积原理、格林函数等方法进行求解,根据推导得到的离散方程,可以得到一组合有未知量的方程组,通过程序编制绘制出了产量理论曲线。该无因次产量与无因次时间曲线对分析油藏参数十分有用,通过产量曲线拟合,可以确定渗透率、裂缝长度及裂缝导流能力等参数。同时还可利用该曲线对压裂井进行产能预测,进而从理论上对油田问题进行有效分析。
A hydraulic iracture is produced by manpower fracture. Now production dynamic of oil-gas wells has become one question of reservoir engineering with fracture. In order to develop economically and reasonably we need to analyze and estimate fractured effect, to predict oil rate. Then transient flow behavior of a vertically fractured well producing at constant bottom-hole pressure is analyzed and studied in an infinite homogeneous reservoir. A mathematical model is established. And the solution is also presented applying Newman method and Green function. When plotted in terms of di-mensionless rate and time, a type curve matching procedure can be used to obtain the formation and fracture characteristics. Theoretically effective analysis is processed.
关键词(KeyWords):
垂直裂缝;产能预测;格林函数;典型曲线
vertical fracture; production prediction; Green func-tion; type curve
基金项目(Foundation):
作者(Authors):
程博,刘常红,翟云芳,赵学栋
CHENG Bo ; LIU Chang-hong; ZHAI Yun-fang; ZHAO Xue-dong (1.China University of Geosciences;
参考文献(References):
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