水平井稳态产能公式及其改进

Stable Productivity Formula for Horizontal Well with Improvement

综合分析了水平井产能方程Borisov,Joshi,Giger,Renard-Dupuy公式之间的异同。对Joshi公式中垂直方向渗流阻力分母上少π的问题、偏心距的处理问题以及简化的二维渗流场与三维渗流场之间的差异问题进行了研究。研究认为,Joshi公式本身因为渗流场的简化产生的误差并不明显,而少π的问题以及对偏心距的处理方法应当加以改进,并提出相应的改进方法。推导出了上下封闭边界中无限大油藏水平井的三维稳态产能解析公式。

Horizontal well productivity equations of Borisov＇s, Joshi＇s, Giger＇s and Renard-Dupuy＇s formulae are analyzed comprehensively, and then their differences and similarities are compared. Actually, there are some problems to be improved in Joshi＇s formula. 3-D analytical productivity equation of horizontal well in infinite-acting reservoir with sealed boundary is derived. For the problem of Joshi＇s formula without π in the denominator of vertical seepage resistance term and the treatment of eccentricity as well as the differences between 2-D and 3-D seepage flow field, the corresponding improvement method is proposed. The study indicates that the error caused by the simplification of seepage flow field is not obvious. However, the problem of Joshi＇s formula without π and the treatment of eccentricity should be improved.