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考虑动半径和粘度变化的稠油非牛顿不稳定渗流数学模型
引用本文:罗艳艳,程林松,黄世军.考虑动半径和粘度变化的稠油非牛顿不稳定渗流数学模型[J].计算物理,2011,28(6).
作者姓名:罗艳艳  程林松  黄世军
作者单位:中国石油大学石油工程学院石油工程教育部重点实验室,北京,102249
基金项目:国家973项目(2011CB707305); 国家科技重大专项(2011ZX05024-005-006); 国家重大专项(2011ZX05012-004)资助项目
摘    要:针对稠油非牛顿特征,在Bingham流体渗流方程基础上,通过对动半径和粘度进行表征,建立同时考虑启动压力梯度、动半径变化和粘度变化的非牛顿稠油不稳定渗流数学模型,完善Bingham型稠油渗流数学模型.通过空间、时间离散差分及Matlab数值计算,得到非牛顿稠油非稳态渗流地层压力分布.结果表明,相同产量下,随启动压力梯度增大,动半径向井方向移动;启动压力梯度越大,压降曲线越陡,相应近井压降越大;相同启动压力梯度下,产量越大,不同吞吐周期压力差距越大.将半径和粘度动态变化相结合,弥补了现行非牛顿稠油渗流数学模型的一个缺陷.

关 键 词:动边界  非牛顿稠油  不稳定渗流  压力分布  启动压力梯度  

Mathematical Model for Transient Flow of Non-Newtonian Heavy Oil with Dynamic Radius and Variable Viscosity
LUO Yanyan,CHENG Linsong,HUANG Shijun.Mathematical Model for Transient Flow of Non-Newtonian Heavy Oil with Dynamic Radius and Variable Viscosity[J].Chinese Journal of Computational Physics,2011,28(6).
Authors:LUO Yanyan  CHENG Linsong  HUANG Shijun
Institution:LUO Yanyan,CHENG Linsong,HUANG Shijun(MOE Key Laboratory of Petroleum Engineering,College of Petroleum Engineering,China University of Petroleum,Beijing 102249,China)
Abstract:A mathematical model for transient flow of non-Newtonian heavy oil with dynamic radius and variable viscosity is established.The non-Newtonian transient pressure distribution of heavy oil is obtained with time and space.It shows that under same production,dynamic radius is closer to the well as threshold pressure gradient increases.The greater the threshold pressure gradient,the greater the pressure drop near the well.We combine dynamic radius and viscosity to avoid shortcomings of existing non-Newtonian he...
Keywords:dynamic radius  non-Newtonian  transient flow  pressure distribution  threshold pressure gradient  
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