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多孔介质中溶质弥散传输过程的体积微元建模法
引用本文:王长江,姜汉桥,覃生高,李俊健.多孔介质中溶质弥散传输过程的体积微元建模法[J].中国石油大学学报(自然科学版),2011,35(1):93-97.
作者姓名:王长江  姜汉桥  覃生高  李俊健
作者单位:1. 中国石油大学,石油工程学院,北京,102249
2. 东北石油大学,石油工程学院,黑龙江,大庆,163318
基金项目:国家科技重大专项课题(2008ZX05024-02-12); 国家“863”重点基础研究发展规划项目(2007AA090701)
摘    要:用体积微元法推导出考虑吸附效应的对流弥散新模型,分析HLL模型和理想对流弥散模型的简化条件,通过与马尔科夫方法的推导结果对比,确定出体积微元法建模过程与简化条件的随机统计特征。两种方法中,对流流量中颗粒的俘获项对应漂移变量的空间导数,弥散流量中颗粒的俘获项对应扩散变量的空间导数。结果表明:渗滤系数越大,颗粒浓度越高,弥散率越大,发生吸附的颗粒概率密度越大;多孔介质孔隙度越小,弥散颗粒样本路径越小,发生吸附的颗粒概率密度越大。

关 键 词:体积微元法  对流弥散方程  马尔科夫方法  颗粒俘获

Finite volume modeling method for random process of dispersive flow in porous media
WANG Chang-jiang,JIANG Han-qiao,QIN Sheng-gao,LI Jun-jian.Finite volume modeling method for random process of dispersive flow in porous media[J].Journal of China University of Petroleum,2011,35(1):93-97.
Authors:WANG Chang-jiang  JIANG Han-qiao  QIN Sheng-gao  LI Jun-jian
Institution:WANG Chang-jiang1,JIANG Han-qiao1,QIN Sheng-gao2,LI Jun-jian1(1.College of Petroleum Engineering in China University of Petroleum,Beijing 102249,China,2.Petroleum Engineering College of Northeast Petroleum University,Daqing 163318,China)
Abstract:A dispersion model with adsorption was derived by finite volume modeling method.It can be simplified to the HLL model and further to the ideal model under certain conditions,of which the physical meanings were analyzed also.Compared with the process of derivation by Markov method,the finite volume modeling method was developed based on statistical mechanism of random processes for the model construction and simplification conditions.In the two methods,the spatial derivative of the drift variable matches alo...
Keywords:finite volume modeling method  convective dispersion equation  Markov method  particle retention  
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