Abstract: It is great important to accurately predict the water influx rate and cumulative water encroachment for the adjustment of oil and gas field development technology countermeasures. Combined with the principle of seepage flow mechanics, the mathematical model for calculating the water and water influx is established for a gas reservoir with an oil ring with an oil band. The model takes into account the changes of water invasion velocity caused by the variation of the seepage resistance in the oil zone. Through the argumentation and calculation, the rapid and practical algorithm is obtained. The example of the mathematical model for practical calculation established shows that the algorithm has comparatively high serviceability.

Key words: Water saturation,    , Oil ring resistance,    , Water invasion rate,    , Cumulative water encroachment,    , Mathematical model

摘要：         准确预测水侵前缘的水侵速度和累积水侵量,对油气田的开发技术对策调整具有重要意义。结合渗流力学原理,针对有边水带油环的气藏建立了计算其水侵速度和水侵量的数学模型,该模型考虑了油环带渗流阻力的变化而引起的水侵速度的变化。通过论证和计算,得出了快速、实用的求解算法。利用所建立的数学模型,进行实例计算,证明该方法具有较强的可操作性。

关键词: 含水饱和度,   ,  油环带阻力,   ,  水侵速度,   ,  累积水侵量,   ,  数学模型