水驱气藏流动物质平衡方程的建立及应用

Establishment and Application of the Flowing Material Balance(FMB) Equation for Water-Drive Gas Reservoirs

  • 摘要: 常规流动物质平衡方法基于封闭气藏假设,未考虑水侵对气藏动态的影响,难以准确识别和定量评价水驱气藏水侵程度,制约了生产资料中蕴含的动态信息的深度挖掘。为此,引入水驱波及体积系数来表征水侵对渗流特征的改变,对气井拟压力形式的产能方程进行修正;联合求解Al-Hussainy拟压力表达式、修正后的产能方程及水驱气藏物质平衡方程,建立了适用于水驱气藏的流动物质平衡方程。研究结果表明:新方程揭示了水驱气藏气井在经历不同水侵阶段时,其归一化拟压力与归一化产气量呈线性关系,为水侵动态诊断提供了理论依据;基于该线性关系,利用气井日常生产数据,通过试算拟合逼近理论直线,可同步确定气井动态储量、水侵波及体积系数及累计水侵量,进而能够动态修正拟压力产能方程中的Darcy渗流项系数,定量评价水侵程度。四川盆地气井分析结果验证了新方程的可靠性,实际数据点均能较好地落在理论直线上。研究表明,新建立的流动物质平衡方程为水驱气藏提供了集水侵实时诊断与定量评价于一体的动态分析手段,提升了生产数据的利用价值,对活塞式水驱气藏的开发动态评价具有较好的理论指导价值。

     

    Abstract: Conventional flowing material balance methods are based on the assumption of closed gas reservoirs and do not account for the impact of water influx on reservoir performance. Consequently, when applied to water-drive gas reservoirs, these methods struggle to accurately identify and quantitatively evaluate the extent of water influx, which limits the depth of dynamic information that can be extracted from production data. To address this issue, the water invasion sweep efficiency coefficient was introduced to characterize the alteration of flow characteristics caused by water influx, and the deliverability equation for gas wells in the form of pseudo-pressure was modified. By jointly solving the Al-Hussainy pseudo-pressure expression, the modified deliverability equation, and the material balance equation for water-drive gas reservoirs, a flowing material balance equation suitable for water-drive gas reservoirs was established. The research results indicate that: The new equation reveals that for gas wells in water-drive reservoirs experiencing different stages of water influx, a strict linear relationship always exists between the normalized pseudo-pressure and the normalized gas production rate. This provides a theoretical basis for the dynamic diagnosis of water influx. Based on this linear relationship, by utilizing the daily production data of gas wells and fitting the data points to approach the theoretical straight line through trial calculations, the dynamic reserves of the gas well, the water invasion sweep efficiency coefficient, and the cumulative water influx can be determined simultaneously. Furthermore, the coefficient of the Darcy flow term in the pseudo-pressure deliverability equation can be dynamically corrected, enabling a quantitative evaluation of water influx. The application to example gas wells in the Sichuan Basin verifies the reliability of the new equation, with actual data points falling well onto the theoretical straight line. It is concluded that the newly established flowing material balance equation provides a dynamic analysis tool for water-drive gas reservoirs that integrates real-time water influx diagnosis with quantitative evaluation. This method effectively enhances the utilization value and mining depth of production data. It holds significant theoretical guidance and strong potential for practical application in the development performance evaluation of piston-like water-drive gas reservoirs. Developing a flowing material balance method for complex, heterogeneous water invasion will be a key focus of future research.

     

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