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对水平井的产能公式进行了细致的研究,尤其对Joshi的产能公式进行了重点分析。根据Giger和Joshi的假设,用保角变换方法重新推导了水平井的产量公式,发现Joshi公式中分母第二项少了一个“π”。进一步用等值潜流阻力法推导出在椭圆边界和直线供油边界条件下水平井产能公式。结果表明,用等值渗流阻力法很容易解决水平井的干扰问题和水平井开发方案的概念设计问题。
The production formula of horizontal well was studied in detail, and the production capacity formula of Joshi was especially analyzed. According to the hypothesis of Giger and Joshi, the conformal transformation method is used to derive the horizontal well’s yield formula. It is found that the second term of the Joshi formula has a “π” less. The formula of horizontal well productivity under the conditions of elliptic boundary and straight oil supply boundary is further deduced by the equivalent current-flow resistance method. The results show that the equivalent seepage flow resistance method can easily solve the horizontal well disturbance and the horizontal well development concept design.