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Simulation of experimental breakthrough curves using multiprocess non-equilibrium model for reactive solute transport in stratified porous media. (English) Zbl 1322.82016
Summary: In this paper, we have studied the behaviour of reactive solute transport through stratified porous medium under the influence of multi-process nonequilibrium transport model. Various experiments were carried out in the laboratory and the experimental breakthrough curves were observed at spatially placed sampling points for stratified porous medium. Batch sorption studies were also performed to estimate the sorption parameters of the material used in stratified aquifer system. The effects of distance dependent dispersion and tailing are visible in the experimental breakthrough curves. The presence of physical and chemical non-equilibrium are observed from the pattern of breakthrough curves. Multi-process non-equilibrium model represents the combined effect of physical and chemical non-ideality in the stratified aquifer system. The results show that the incorporation of distance dependent dispersivity in multi-process non-equilibrium model provides best fit of observed data through stratified porous media. Also, the exponential distance dependent dispersivity is more suitable for large distances and at small distances, linear or constant dispersivity function can be considered for simulating reactive solute in stratified porous medium.
82C70 Transport processes in time-dependent statistical mechanics
76S05 Flows in porous media; filtration; seepage
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[1] Abulaban A and Nieber J L 2000 Modeling the effects of nonlinear equilibrium sorption on the transport of solute plumes in saturated heterogeneous porous media. Advances in Water Resources 23(8): 893-905
[2] Aral M M and Liao B 1996 Analytical solutions for two-dimensional transport equation with time-dependent dispersion coefficients. J. Hydrol. Eng. 1(1): 20-32
[3] Barry D A and Sposito G 1989 Analytical solution of a convection-dispersion model with time-dependent transport coefficients. Water Resour. Res. 25(12): 2407-2416
[4] Brindha K and Elango L 2011 Fluoride in groundwater: Causes, implications and mitigation measures. Fluoride Properties, Applications and Environmental Management 111-136
[5] Brusseau M L 1991 Application of a Multiprocess nonequilibrium sorption model to solute transport in a stratified porous medium. Water Resour. Res. 27(4): 589-595
[6] Brusseau M L 1992 Transport of rate limited sorbing solute in heterogeneous porous media: Application of a one dimensional multifactor nonideality model to field data. Water Resour. Res. 28(9): 2485-2497
[7] Brusseau M L and Rao P S C 1989 Sorption nonideality during organic contaminant transport in porous media. CRC Crit. Rev. Environ. Control 19(1): 33-99
[8] Brusseau M L, Jessup R E and Rao P S C 1989 Modeling the transport of solutes influenced by multiprocessnon-equilibrium. Water Resour. Res. 25(9): 1971-1988
[9] Burr D T, Sudicky E A and Naff R L 1994 Nonreactive and reactive solute transport in three-dimensional heterogeneous porous media: Mean displacement, plume spreading, and uncertainty. Water Resour. Res. 30(3): 791-815
[10] Chiou C T, Peters L J and Freed V H 1979 A physical concept of soil-water equilibria for non-ionic organic compounds. Science 206(4420): 831-832
[11] Dykhuizen R C 1991 Asymptotic solutions for solute transport in dual velocity media. Mathematical Geology 23(3): 383-401 · Zbl 0970.86523
[12] Elzein A H and Booker J R 1999 Groundwater pollution by organic compounds: a two-dimensional analysis of contaminant transport in stratified porous media with multiple sources of non-equilibrium partitioning. Int. J. Numerical and Analytical Methods in Geomech. 23(14): 1717-1732 · Zbl 0939.76600
[13] Freeze R A and Cherry J A 1979 Groundwater Englewood Cliffs, N.J.: Prentice-Hall
[14] Gao G, Zhan H, Feng S, Fu B, Ma Y and Huang G 2010 A new mobile-immobile model for reactive solute transport with scale-dependent dispersion. Water Resour. Res. 46 (8): W08533, DOI: 10.1029/2009WR008707
[15] Gerke H H and Van Genuchten M Th 1996 Macroscopic representation of structural geometry for simulating water and solute movement in dual-porosity media. Advances in Water Resour. 19(6): 343-357
[16] Gillham R W, Sudicky E A, Cherry J A and Frind E O 1984 An advection- diffusion concept for solute transport in heterogeneous-unconsolidated geological deposits. Water Resour. Res. 20(3): 369-378
[17] Goltz N M and Roberts P V 1986 Three-dimensional solution for solute transport in an infinite medium with mobile and immobile zones. Water Resour. Res. 22(7): 1139-1148
[18] Gupta M K, Singh A K and Srivastava R K 2009 Kinetic sorption studies of heavy metal contamination on Indian expansive soil. E-J. Chem. 6(4): 1125-1132
[19] Huang H, Huang Q and Zhan H 2006 Evidence of one dimensional scale-dependent fractional advection-dispersion. J. Contam. Hydro. 85(1-2): 53-71
[20] Huang K, Van Genuchten M T and Zhang R 1996 Exact solutions for one-dimensional transport with asymptotic scale-dependent dispersion. Appl. Math. Model. 20: 298-308 · Zbl 0871.76086
[21] Hunt B 1998 Contaminant source solutions with scale-dependent dispersivities. J. Hydrologic Eng. 3(4): 268-275
[22] Karickhoff S W 1981 Semi empirical estimation of sorption of hydrophobic pollutants on natural sediments and soils. Chemosphere 10(8): 833-846
[23] Khan A A, Muthukrishnan M and Guha B K 2010 Sorption and transport modeling of hexavalent chromium on soil media. J. Hazardous Materials 174(1): 444-454
[24] Logan L D 1996 Solute transport in porous media with scale-dependent dispersion and periodic boundary conditions. J. Hydrol. 184(3): 261-276
[25] Liu Gang Si and Bing C 2008 Analytical modeling of one dimensional diffusion in layered systems with position dependent diffusion coefficients. Advances in water Resour. Res. 31(2): 251-268
[26] Molz F J, Guven O and Melville J G 1983 An examination of scale-dependent dispersion coefficient. Ground Water 21(6): 715-725
[27] Naik M S, Reddy H P P and Sivapullaiah P V 2008 A reliable method of obtaining breakthrough curves of ions in soils using transport equation. In The 12th International Conference of International Association for Computer Methods and Advances in Geomechanics (IACMAG) (pp. 1-6)
[28] Pickens J F and Grisak G E 1981 Scale-dependent dispersion in a stratified granular aquifer. Water Resour. Res. 17(4): 1191-1211
[29] Rao P S C, Jessup R E, Rolston D E, Davidson J M and Kilcrease D P 1980 Experimental and mathematical description of nonadsorbed solute transfer by diffusion in spherical aggregates. Soil Sci. Soc. Am. J. 44(4): 684-688
[30] Roberts P V, Goltz M N and Mackay D M 1986 A natural gradient experiment on solute transport in a sand aquifer: 3. Retardation estimates and mass balances for organic solutes. Water Resour. Res. 22(13): 2047-2058
[31] Sudicky E A, Gillham R W and Frind E O 1985 Experimental investigation of solute transport in stratified porous media, 1. The nonreactive case. Water Resour. Res. 21(7): 1035-1041
[32] Starr R C, Gillham R W and Sudicky E A 1985 Experimental investigation of solute transport in stratified porous media, 2. The reactive case. Water Resour. Res. 21(7): 1043-1050
[33] Tang D H, Frind E O and Sudicky E A 1981 Contaminant transport in fractured porous media: Analytical solution for a single fracture. Water Resour. Res. 17(3): 555-564
[34] Van Duijn C J and van derZee S E A T M 1986 Solute transport parallel to an interface separating two different porous materials. Water Resour. Res. 22(13): 1779-1789, DOI: 10.1029/WR022i013p01779
[35] Van Genuchten M Th and Wierenga P J 1976 Mass transfer studies in sorbing porous media: Analytical solutions. Soil Sci. Soc. Am. J. 40(3): 473-479
[36] Van Genuchten M Th 1981 Non-equilibrium transport parameters from miscible displacement experiments. Res. Rep. 119, U.S. Salinity Lab., U.S. Dep. of Agric. Washington, D.C
[37] Xu L and Brusseau M L 1996 Semianalytical solution for solute transport in porous media with multiple spatially variable reaction processes. Water Resour. Res. 32(7): 1985-1991
[38] Yates S R 1990 An analytical solution for one-dimensional transport in heterogeneous porous media. Water Resour. Res. 26(10): 2331-2338
[39] Yates S R 1992 An analytical solution for one-dimensional transport in porous media with an exponential dispersion function. Water Resour. Res. 28(8): 2149-2154
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