分支水平井产能方程式研究进展

Development process of branch horizontal well productivity formulas

分析了分支水平井的7个典型产能方程式。对比发现,王卫红、李璗方程式均为程林松方程式的特例;蒋廷学方程式比程林松方程式更加准确。通过理论分析和实例运算,验证了齐成伟方程式在外部渗流阻力部分的重要突破。进一步分析发现,齐成伟方程式的外部渗流阻力部分自相容,科学严谨。最后,考虑到各种附加阻力,得出了完整的产能方程式。

Seven typical productivity formulas for branch horizontal well were analyzed in this paper.It was found WANG Weihong formula and LI Dang formula are the two special cases of CHENG Linsong formula,and JIANG Tingxue formula is more accurate than CHENG Linsong formula.Theoretical analysis and case calculation proved that QI Chengwei formula was an important breakthrough in external seepage resistance.Further analysis showed the external seepage resistance made by QI Chengwei is self-compatible and rigorous.Finally,by taking various additional resistances into account,a complete productivity formula was obtained.