气井拟压力产能方程的推导、简化及应用  

Derivation,simplification,and application of the pseudo-pressure productivity equation of gas wells

作　　者：陈元千[1] CHEN Yuanqian(Research Institute of Petroleum Exploration&Development,Petrochina,Beijing City,100083,China)

机构地区：[1]中国石油勘探开发研究院,北京100083

出　　处：《油气地质与采收率》2025年第1期147-151,共5页Petroleum Geology and Recovery Efficiency

摘　　要：对于新区发现天然气的探井或是老区新打的调整井,在完井试气并关井取得地层压力之后,都要进行气井的产能测试或成为供气能力测试,用于确定气井的绝对无阻流量和流入动态关系曲线,为气藏开发方案的编制提供可靠的技术基础。在国际上,评价气井产能的方法主要是利用压力平方表示的二项式和指数式,并通过多点测试(一般为四点)气井产量和相应的井底流压求解。本文基于Forchheimer(1901)的压力梯度与流动速度的二次方程,利用Al-Hussainy(1966)的拟压力函数,推导得到了气井拟压力的产能方程。同时,利用Rawlines(1936)提出的修正方法,得到了拟压力的指数式产能方程。通过实例应用表明,利用拟压力表示的二项式和指数式产能方程,评价的绝对无阻流量结果基本一致。For exploratory wells where natural gas has been discovered in new regions or for new adjustment wells in mature areas,it is essential to conduct productivity testing(also known as deliverability testing)after completing the gas test and shut-in to obtain the reservoir pressure,to determine the absolute open flow rate and inflow performance relationship(IPR)curves of the gas well.These results provide a reliable technical foundation for developing the gas reservoir development program.Internationally,methods for evaluating gas well productivity are mainly quadratic form and exponential form expressed by the squared pressure and solved by the production of the gas well and the corresponding flowing bottomhole pressure from a multi-point test(typically four points).In this paper,the productivity equation for the pseudo-pressure of the gas well was derived based on the quadratic equation for the pressure gradient and flow velocity proposed by Forchheimer(1901)and the pseudo-pressure function proposed by Al-Hussainy(1966).Additionally,the exponential equation of pseudo-pressure was obtained by using the correction method proposed by Rawlins(1936).Example applications demonstrate that the evaluation results for absolute open flow rate are essentially identical using both the quadratic and exponential equations expressed in terms of pseudo-pressure.

关 键 词：气井 拟压力 产能方程 二项式 指数式 绝对无阻流量 IPR曲线 

分 类 号：TE328[石油与天然气工程—油气田开发工程]