摘要
产能方程能够直接描述产量与压力之间的关系,在油田生产中发挥了极其重要的作用。目前气井的产能方程(包括压力、压力平方以及气体拟压力形式等)大多是针对单相气体而言,由于其自身的局限性,已不再适用于油水同产气井。文章提出了一种计算携液生产气井的数学模型,分别得到达西渗流、非达西渗流以及考虑表皮效应时的携液生产气井产能方程,并针对纯气井、油气同产井、气水同产井等几种特殊情况进一步讨论了产能方程的表达形式。推导显示,在引入油气水三相拟压力函数以后,携液气井的产能方程与单相气体产能方程相同;将单相气体体积流量和压力用多相总质量流量和油气水三相拟压力替换后,单相气井产能方程可以应用于该条件下的携液气井产能的计算。该方法拓展了单相气体渗流产能方程的适用范围,实例计算证明方法是切实可行的。
The relation between production and pressure can be directly reflected by the productivity equation. The equation has a significant function for operation of the oil field. However, the current productivity equation of gas wells (including pressure, pressure square and pseudo-pressure etc.) is based on single-phase gas, and doesn't suit the gas wells with oil/water producing simultaneously because of its limitation. A mathematical model is proposed to calculate the productivity for the gas wells with liquid. Then, the productivity equations of the gas wells with liquid are derived for Darcy percolation, non-Darcy percolation and while considering skin effect respectively. Also, the special expressions of the productivity equations are further discussed for pure gas wells, gas wells with oil and gas wells with water. The derivation shows that the productivity equation of gas wells with liquid is the same as productivity equation of gas wells with single phase after introducing the pseudo-pressure function with three phases of oil, gas, and water. Substituting the volume flow rate and the pressure of the gas well with single phase by the flow rate of multi-phase total mass and the pseudo-pressure of three phases of oil, gas, and water, the productivity equation of gas wells with single phase can be used to calculate the productivity of gas wells with liquid under the conditions. The method expands the using range of the productivity equation of gas percolation with single phase. With real cases calculating, it is proved that the method is feasible.
出处
《天然气工业》
EI
CAS
CSCD
北大核心
2006年第6期92-94,共3页
Natural Gas Industry
关键词
气井
生产能力
压力
液体
方程
gas well, productivity, pressure, liquid, equation
