考虑动态毛细管力的IMPES油藏数值模拟方法

2019年 26卷 第04期
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IMPES reservoir numerical simulation considering dynamic capillary force
张媛 田凯 王硕亮 邹枫4
中国石化石油勘探开发研究院,北京 100083 中国地质大学(北京)能源学院,北京 100083 中国石油吐哈油田分公司鲁克沁采油厂,新疆 鄯善 838200 中国石化中原油田分公司工程技术管理部,河南 濮阳 457001)

摘要
油藏数值模拟方法中普遍认为毛细管力是含水饱和度的函数,但是室内实验表明,毛细管力不仅受含水饱和度的影响,而且受流体流动速度的影响,因此需要修正已有的数值模拟方法。文中首先将动态毛细管力引入油水运动控制方程,对数值模拟基本渗流方程进行了修正;然后采用IMPES方法对压力方程和饱和度方程进行了求解,利用均质、非均质模型分析了动态毛细管力对数值模拟结果的影响。分析结果认为:考虑动态毛细管力对均质模型的结果影响较小,对非均质模型影响较大;考虑动态毛细管力计算的含水率在低含水率阶段上升速度较快,在高含水率阶段上升速度较慢;考虑动态毛细管力后,波及系数变小。实际单井生产动态数据验证了该方法的可靠性。
Abstract
In reservoir numerical simulation methods, capillary force is generally considered as a function of water saturation. However, a large number of laboratory experiments show that the capillary force is not only affected by the water saturation, but also influenced by the flow velocity of the fluid. Therefore, the existing numerical simulation methods need to be revised. In this paper, the dynamic capillary force is introduced into the control equation of the oil and water phase, and the basic seepage equations of the reservoir numerical simulation are corrected. Then the IMPES method is used to solve the pressure equation and the saturation equation. A homogeneous model and a heterogeneous model are established, and the influence of dynamic capillary force on the numerical simulation results is analyzed. The results show that under homogeneous conditions, the dynamic capillary force has little effect on the results; under heterogeneous conditions, the dynamic capillary force has greater influence; in low water?鄄cut stage, the water cut calculated with dynamic capillary force increases faster; in high water?鄄cut stage, the water cut with dynamic capillary force increases slower; the sweep coefficient calculated after considering dynamic capillary force is smaller than that calculated without considering dynamic capillary force. The reliability of the method is verified by the actual single well enhanced liquid treatment.
关键词:
动态毛细管力; 数值模拟; 有限差分; 波及系数; 含水率
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Keywords:
dynamic capillary force; numerical simulation; finite difference; sweep efficiency; water cut
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基金项目
DOI
10.6056/dkyqt201904020