半球形流气井产量公式的推导与应用

Derivation and Application of Semi-Spherical Flow Production Formula of Gas Well

对于底水驱动的块状气藏,在气井开采和地下储气库建设当中,都会遇到半球形流的产量预测问题。由于半球形流与平面径向流存在很大的差别,在实际工作中,往往忽略了半球形流的特点,而用平面径向流公式进行计算,因此,就会引起明显的偏差。本文基于半球形流的特点,利用质量守恒原理,通过推导得到了由拟压力、压力平方和压力一次方表示的产量公式。由例题应用表明,本文推导的结果是正确的,不同压力表示的产量公式具有很好的一致性。

For the block gas reservoir of bottom water drive,the forecasting problem of production rate about semi-spherical flow are usually happened when the production of gas well in gas reservoir and the construction of underground gas storage.Because of very big difference between semi-spherical flow and radical plane flow,and also the feature of semi-spherical flow are often neglected and calculated use for radical plane flow in actual work,therefore it may be caused obvious error.Based on the mass conservation principle,the production formula of semi-spherical flow for pseudo-pressure,pressure-squared and pressure are derived in this paper.The validity is proved by the example and there are very good identity for three different formulas.