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Darcy渗流定律的微观界定及其应用

 引用本文: 许友生, 刘慈群, 林机. Darcy渗流定律的微观界定及其应用[J]. 应用数学和力学, 2004, 25(3): 253-261.
XU You-sheng, LIU Ci-qun, LIN Ji. Microcosmic Bound Theorem of Daycy’s Law and Its Application[J]. Applied Mathematics and Mechanics, 2004, 25(3): 253-261.
 Citation: XU You-sheng, LIU Ci-qun, LIN Ji. Microcosmic Bound Theorem of Daycy’s Law and Its Application[J]. Applied Mathematics and Mechanics, 2004, 25(3): 253-261.

## Darcy渗流定律的微观界定及其应用

###### 作者简介:许友生(1963- ),男,浙江人,副教授,博士(联系人.Tel:86-13764450587,Fax:86-579-2282040;E-mail:xys.001@163.com).
• 中图分类号: O357.3

## Microcosmic Bound Theorem of Daycy’s Law and Its Application

• 摘要: 将Boltzmann微观方程用Chapman-Enskog展开，结合BGK近似理论得到Navier-Stokes方程，通过在多孔介质的某种表征体元上的不同的方式平均Navier-Stokes方程后得出Darcy渗流定律的一种表示方法，并用实例证明了方法的可靠性．
•  [1] 许友生，刘慈群，俞慧丹.多孔介质中两相驱离的格子Boltzmann模型新研究[J].应用数学和力学，2002，23(4)：353—358. [2] Spaid M A A，Phelan F R.Lattice Boltzmann methods for modeling microscale flow in fibrous porous media[J].Physics of Fluids,1997,9(9):2468—2474. doi: 10.1063/1.869392 [3] Cercignani C.The Boltzmann Equation and Its Applications[M].New York:Springer,1988. [4] Irmay S.On the hydraulic conductivity of unsaturated soils[J].Trans Amer Geophys,1954,(35):463—468. [5] Frisch U.Relation between the lattice Boltzmann equation and the Navier-Stokes equations [J].Physica D,1991,47(7):231—232. [6] Bhatnagar P,Gross E P ,Krook M K. A model for collision processes in gases—Ⅰ：Small amplitude processes in charged and neutral one-component systems[J].Physics Reviews,1954,94(3):515—525. [7] Bear J.Dymanics of Fluids in Porous Media[M].New York:American Elsevier Publishing Company.1972,111. [8] Polubarinova-Kochina P Y.Unsteady seepage with an interface [J].Nauk S S S R,1949,(66):173—176.(in Russian) [9] CHEN Shi-yi,WANG Zhi,SHAN Xao-wen，et al.Lattice Boltzmann computationl fluid dynamics in three dimensions [J].Stat Phys,1992,68(3/4):379—400. [10] Cornubert R,d'Hunières D，Levermore D.A knudsen layer theory for lattice gases [J].Physica D,1991,47(1):241—259.
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##### 出版历程
• 收稿日期:  2002-04-01
• 修回日期:  2003-12-06
• 刊出日期:  2004-03-15

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