气水两相流二项式产能方程研究

Binomial deliverability equation of gas-water two-phase flow

张合文 冯其红 鄢雪梅

中国石油勘探开发研究院廊坊分院，河北 廊坊 065007 中国石油大学石油工程学院，山东 东营 257001

针对边水驱气藏开发中后期地层存在气水两相渗流这一实际情况，井的气水两相流产能分析理论及分析方法对于气藏工程研究和采气工程研究都具有重要的意义。从渗流力学的基本原理出发，结合质量守恒方程，建立了气水两相流的数学模型，推导出气水两相流时的二项式产能方程，并且给出了求解该数学模型的方法，建立了关于稳定流入动态关系曲线的理论，由此可以做出流入动态关系曲线，为确定井的产能及进行动态分析提供了理论基础。

In view of the fact that there is the gas-water two-phase percolation at the medium and later stages of edge water drive gas
reservoir development, the productivity analysis theory of gas-water two-phase flow has an important significance for the gas
reservoir study and gas production study in well. Based on the basic principle of fluid mechanics in porous medium and combined
with the mass conservation equations, we have established the mathematical model of gas-water two-phase flow and have derived
the binomial deliverability equation of gas-water two-phase flow. The solving method of mathematical model has been given.
Consequently, we set up the theory of dynamic relationship curves when water and gas flows are steady. According to this theory, we
can get the relationship curves of dynamic flowing, which provides a theoretical base for the determination of well throughput and
dynamic analysis.