模拟多孔介质中生物化学输运的有限颗粒法的一个修正算法

曹圣山; 孙讷正

Volume 28 Issue 5

Sep. 2003

Turn off MathJax

Article Contents

Article Navigation > Earth Science > 2003 > 28(5): 492-496

CAO Sheng-shan, SUN Ne-zheng, 2003. A Modified Algorithm of FCM for Simulating Biological and Chemical Transport Process. Earth Science, 28(5): 492-496.

Citation:

CAO Sheng-shan, SUN Ne-zheng, 2003. A Modified Algorithm of FCM for Simulating Biological and Chemical Transport Process. Earth Science, 28(5): 492-496.

CAO Sheng-shan, SUN Ne-zheng, 2003. A Modified Algorithm of FCM for Simulating Biological and Chemical Transport Process. Earth Science, 28(5): 492-496.

Citation:

CAO Sheng-shan, SUN Ne-zheng, 2003. A Modified Algorithm of FCM for Simulating Biological and Chemical Transport Process. Earth Science, 28(5): 492-496.

PDF( 205 KB)

A Modified Algorithm of FCM for Simulating Biological and Chemical Transport Process

CAO Sheng-shan^{1, 2
,},
SUN Ne-zheng³

1.
School of Mathematics and System Sciences, Shandong University, Jinan 250100, China
2.
Mathematical Department, Ocean University of China, Qingdao 266071, China
3.
Civil and Environmental Engineering Department, University of California, Los Angeles, USA

Received Date: 2003-05-18
Publish Date: 2003-09-25

Abstract

Abstract

A modified algorithm of finite cell method (FCM) is presented for simulating complex physical, biological and chemical transport in porous media. It not only has the same advantages as the original finite cell method, but also can keep local mass conservation in more finer meshes, so we may get the locations of cells as well as the final results with high accuracy. Two numerical examples show the comparison between the solutions of modified FCM and original FCM and analytical solutions.
- groundwater pollution,
- reactive transport,
- biodegradation,
- finite cell method.

FullText(HTML)

References(11)

References

[1]	Bear J. 多孔介质流体动力学[M]. 李竟生, 陈崇希, 译. 北京: 中国建筑工业出版社, 1983. Bear J. Dynamics of fluids in porous media[M]. Translated by LI J S, CHEN C X. Beijing: China Architecture & Building Press, 1983.
[2]	Sun N Z. Mathematical modeling of groundwater pollution [M]. New York: Springer-Verlag, 1996.
[3]	Sun N Z. Modeling biodegradation processes in porous media by the finite cell method[J]. Water Resour Res, 2002, 38(3): 1-11.
[4]	Rashid M, Kaluarachchi J J. A simplified numerical algorithm for oxygen-and nitrate-based biodegradation of hydrocarbons using Monod expressions[J]. J Contam Hydrol, 1999, 40(1): 53-77. doi: 10.1016/S0169-7722(99)00032-7
[5]	Cirpka O A, Frind E O, Helmig R. Numerical simulation of biodegradation controlled by transverse mixing[J]. J Contam Hydrol, 1999, 40(2): 159-182. doi: 10.1016/S0169-7722(99)00044-3
[6]	Tompson A F B. Numerical simulation of chemical migration inphysically and chemically heterogeneous porous media[J]. Water Resour Res, 1993, 29(11): 3709-3726. doi: 10.1029/93WR01526
[7]	BosmaW J P, van de Zee S E A T M, van Duijn C J. Plume development of a nonlinearly adsorbing solutein heterogeneous porous formations[J]. Water Resour Res, 1996, 32(6): 1569-1584. doi: 10.1029/96WR00636
[8]	Labolle E M, Fogg G E, Tompson A F B. Random-walk simulation of transport in heterogeneous porous media: Local mass-conservation problem and implementation methods [J]. Water Resour Res, 1996, 32(3): 583-594. doi: 10.1029/95WR03528
[9]	Delay F, Housset H, Porel G, et al. Transport in a2-D saturated porousmedium: A new method for particle tracking[J]. Math Geol, 1996, 28(1): 45-71. doi: 10.1007/BF02273523
[10]	Sun N Z. A finite cell method for simulating the mass transport process in porous media[J]. Water Resour Res, 1999, 35(12): 3649-3662. doi: 10.1029/1999WR900187
[11]	Murphy E M, Ginn T R. Modeling microbial processes in porous media[J]. Hydrol J, 2000, 8(1): 142-158.