| 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 |
| DOI：10.3969/j.issn.1673-5005.2011.01.018 |
| 分类号::TE 357.46 |
| 文献标识码:A |
| 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) |
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| Finite volume modeling method for random process of dispersive flow in porous media |
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WANG Changjiang1, JIANG Hanqiao1, QIN Shenggao2, LI Junjian1
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(1.College of Petroleum Engineering in China University of Petroleum, Beijing 102249, China;2.Petroleum Engineering College of Northeast Petroleum University, Daqing 163318, China)
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| 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 along with the particle adsorption item of the convective flux while the spatial derivative of the dispersive variable matches along with the particle adsorption item of the dispersive flux. The results indicate that the bigger the infiltration coefficient, the higher the particle concentration and the larger the dispersion ratio, then the greater the probability density of the particles to be adsorbed. The shorter the sample route of the dispersive particles, the greater the probability density of the particles to be adsorbed. |
| Key words: finite volume modeling method convective dispersion equation Markov method particle retention |
