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Journal of Zhejiang University SCIENCE A 2004 Vol.5 No.8 P.966-969

http://doi.org/10.1631/jzus.2004.0966


Combinatorial model of solute transport in porous media


Author(s):  ZHANG Miao-xian, ZHANG Li-ping

Affiliation(s):  College of Engineering, Zhejiang Forestry University, Lin'an 311300, China; more

Corresponding email(s):   zhangmx18@163.com, lpzhang@zju.edu.cn

Key Words:  Modeling, Mass transport, Expanding scale, Combinatorics


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ZHANG Miao-xian, ZHANG Li-ping. Combinatorial model of solute transport in porous media[J]. Journal of Zhejiang University Science A, 2004, 5(8): 966-969.

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%A ZHANG Li-ping
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Abstract: 
modeling of solute transport is a key issue in the area of soil physics and hydrogeology. The most common approach (the convection-dispersion equation) considers an average convection flow rate and Fickian-like dispersion. Here, we propose a solute transport model in porous media of continuously expanding scale, according to the combinatorics principle. The model supposed actual porous media as a combinative body of many basic segments. First, we studied the solute transport process in each basic segment body, and then deduced the distribution of pore velocity in each basic segment body by difference approximation, finally assembled the solute transport process of each basic segment body into one of the combinative body. The simulation result coincided with the solute transport process observed in test. The model provides useful insight into the solute transport process of the non-Fickian dispersion in continuously expanding scale.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

[1] Bear, J., 1972. Dynamics of Fluid in Porous Media. American Elsevier, New York.

[2] Bresler, E., 1981. Transport of salts in soils and subsoils. Agric. Water Management, (4):35-62.

[3] Briam, B., Harvey, S., Stephen, E.S., 2000. Anomalous transport in laboratory-scale, heterogeneous porous media. Water Resour. Res., 36(1):149-158.

[4] Cyril, F., van der Lee, J., 2001. A stochastic model of transport in three-dimensional porous media. Mathematical Geology, 33(4):449-474.

[5] Grubert, D., 1999. Effective parameter interpretation and extrapolation of dispersion simulations by means of a simple two-velocity model. Transport in Porous Media, 37:153-167.

[6] Huang, K.L., 1991. Scale-dependence of hydrodynamic dispersion in porous media. Hydrogeology and Engineering Geology, (3-4):25-33 (in Chinese).

[7] Jury, W.A., Sposito, G., White, R.E., 1986. A transfer functions model of solute transport through soil 1. Fundamental concepts. Water Resour. Res., 22(2):234-247.

[8] Lei, Z.D., Yang, S.X., Xie, S.C., 1988. Hydrodynamics in Soil. Tsinghua University Press, Beijing, China, p.203-260 (in Chinese).

[9] Li, Y.Z., Li, B.G., 1998. Solute Transport in Soil. Science Press, Beijing, China, p.113-152 (in Chinese).

[10] Neuman, S.P., 1990. Universal scaling of hydraulic conductivity and dispersivities in geological media. Water Resour. Res., 26(8):905-908.

[11] Nielsen, D.R., Biggar, J.W., Erh, K.T., 1973. Spatial variability of field-measured soil-water properties. Hilgardia, 42:215-259.

[12] Qu, W.L., 1989. Combinatorics. Beijing University Press, China, p.33-54 (in Chinese).

[13] Toride, N., Leij, F.J., 1996. Convective dispersive stream tube model for field scale solute transport: I moment analysis. Soil Sci. Soc. AM. J., 60:342-352.

[14] Van, G.M.T., Shouse, P.J., 1989. Solute Transport in Heterogenous Field Soil. In: Allen, D.T., et al.(ed.). Intermedia Pollutant Transport. Plenum Publ. Corp., New York, p.177-187.

[15] Yang, D., Udey, N., Spanos, T.J.T., 1998a. Automation simulations of dispersion in porous media. Transport in Porous Media, 32:187-198.

[16] Yang, J.Z. , Chai, S.Y., Ye, Z.T., 1998b. Study and advance about the stochastic theory of groundwater solute transport in region. Hydrology Science Advance, 9(1):85-98 (in Chinese).

[17] Yang, J.Z., Chai, S.Y., Huang, G.H., Ye, Z.T., 2000. Stochastic Theory of Water and Solute Transport in Porous Media. Science Press, Beijing, China, p.129-156 (in Chinese).

[18] Zhang, M.X., 2001. Information-statistics Evaluation on the Effect of Ground Water Buried Depth to Upper Soil and Ground Water Salinity. China Postdoctoral Preceding. Science Press, Beijing, China, p.221-224 (in Chinese).

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