Abstract: This paper gives the productivity of wells by conformal transformation and equivalent filterate resistance method.Comparing it with Табаков and Joshi's formula indicated that they didn't distinguish the assumption of uniform flux from the assumption of infinite conductivity.The influences of the branch number and the horizontal section length of multibranch wells on productivity are discussed.The productivity of horizontal well with longer horizontal section is greater than the productivity of multiple deviation wells,if the length of all branches is the same with horizontal section length of a horizontal well.The productivity formula given here is theoretically correct,and can be used in the design and the productivity estimation of multibranch wells.

Key words: branch, horizontal well, productivity, conformal transformation

摘要： 利用保角变换方法和等值渗流阻力原理推导出了分支水平井产能计算公式,并与Табаков和Joshi提出的公式进行了比较,指出他们的公式没有注意到均匀流量和导流能力无限大的区别,分析讨论了井筒数和水平井筒长度对分支水平井产能的影响.研究表明,一口长水平井产能比总长与之相等的分支水平井产能效果好,本文推导的分支水平井产能公式理论根据充分,可用于实际油藏中分支水平井设计和产能预测.

关键词: 分支, 水平井, 产能, 保角, 变换