黑油模型井筒控制的全隐式数值处理方法研究  

Research of the Numerical Processing Method for Wellbore Control of the Black Oil Model

作　　者：梁景伟[1] 朱圣举[2] 王立群[1] 慕国权[2] 牛畅 易新钢 郝龙龙 

机构地区：[1]中国石油大学(北京)理学院,北京102249 [2]长庆油田分公司勘探开发研究院,陕西西安710018

出　　处：《油气井测试》2017年第6期8-13,共6页Well Testing

摘　　要：在实际油藏数值模拟中,黑油模型是应用最广泛且被普遍接受的模型。从数学的角度,黑油模型是由一组非线性抛物型偏微分方程、辅助方程以及给定的初边值条件所构成的定解问题。由于井筒附近的非线性程度非常高,因此井筒处理是油藏数值模拟中的重要环节。采用强耦合的全隐式井模型进行求解,在合理处理水头项中的混合流体密度的前提下,对每口井引入三个新的未知变量,在不同的井控条件下,相应的三个未知变量均可以较完整地描述井筒中流体流动,尤其针对比较特殊的交叉流现象,这种强耦合井模型体现了自身的优越性。为了验证该方法的准确性,运用Matlab软件编写程序实现本文算法。最后,针对多个油藏实例,分别在块中心网格和角点网格系统下进行数值计算,并将结果与商业软件Eclipse的运行结果进行比较。吻合效果较好,验证了本文的处理方法科学、准确。In practical petroleum reservoir simulation,the black oil model is the most popular and comprehensive model.Mathematically,it is a definite solution problem which is composed by a set of nonlinear parabolic partial differential equations with appropriate initial and boundary conditions.Due to the strong nonlinearity near the well bore,wellbore processing is a vital part of reservoir numerical simulation.Based on the full implicit well model of strong coupling and on the premise of the mixed fluid density of well head,three new unknown variables are introduced for each well,and under different well control conditions,the corresponding three unknown variables can completely describe the flow of the fluid in well bore,and especially for the special crossflow phenomena,the well model of strong coupling embodies the superiority of itself.In order to test the accuracy of this method,Matlab software is used to write programs to achieve the algorithm.Finally,multiple instances of reservoir are simulated based on the block-center grid and corner-point grid respectively,and the results are compared with the commercial software Eclipse.The anastomotic effect is better which proves the process way of this article is scientific and accurate.

关 键 词：油藏数值模拟 黑油模型 全隐式模型 井筒处理 强耦合 井筒密度 交叉流 

分 类 号：TE353[石油与天然气工程—油气田开发工程]