Behavioral Study of the Mass Transfer Coefficient of Nonreactive Solute with Velocity, Distance, and Dispersion
Publication: Journal of Environmental Engineering
Volume 143, Issue 1
Abstract
In this work, laboratory experiments and numerical simulations were used to investigate the transport of solute through stratified porous media. Experiments were performed using nonreactive solute transport through an experimental model of stratified porous media of different lengths. The aim of conducting the experiments was to evaluate the effect of the length of mobile–immobile domain on estimation of first-order mass transfer coefficient. The velocity was also changed for different lengths of stratification for understanding the behavior of mass transfer coefficient. The estimated values of mass transfer coefficient were analyzed for interdependency with length, velocity, and dispersion coefficient. It was found that mass transfer coefficient has an inverse relation with dispersion coefficient and also varies with the length of the mobile–immobile region and velocity. Finally, the variable behavior of mass transfer coefficient is obtained when the transport media are under the influence of physical nonequilibrium.
Get full access to this article
View all available purchase options and get full access to this article.
References
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.” Adv. Water Resour., 23(8), 893–905.
Anwar, N., Robinson, C., and Barry, D. A. (2014). “Influence of tides and waves on the fate of nutrients in a nearshore aquifer: Numerical simulations.” Adv. Water Resour., 73, 203–213.
Aquino, T., Aubeneau, A., and Bolster, D. (2015). “Peak and tail scaling of breakthrough curves in hydrologic tracer tests.” Adv. Water Resour., 78, 1–8.
Bear, J. (1972). Dynamics of fluids in porous media, Courier Dover Publications, Mineola, NY.
Boufadel, M. C. (2000). “A mechanistic study of nonlinear solute transport in a groundwater-surface water system under steady state and transient hydraulic conditions.” Water Resour. Res., 36(9), 2549–2565.
Brusseau, M. L., Jessup, R. E., and Rao, P. S. C. (1989). “Modeling the transport of solutes influenced by multiprocess non-equilibrium.” Water Resour. Res., 25(9), 1971–1988.
Brusseau, M. L., Jessup, R. E., and Rao, P. S. C. (1992). “Modeling solute transport influenced by multiprocess non-equilibrium and transformation reactions.” Water Resour. Res., 28(1), 175–182.
Casey, F. X. M. (1996). “Determining solute transport parameters in field soil.” Ph.D. thesis, Iowa State Univ., Ames, IA.
Casey, F. X. M., Horton, R., Logsdon, S. D., and Jaynes, D. B. (1997). “Immobile water content and mass exchange coefficient of a field soil.” Soil Sci. Soc. Am. J., 61(4), 1030–1036.
Casey, F. X. M., Horton, R., Logsdon, S. D., and Jaynes, D. B. (1998). “Measurement of field soil hydraulic and solute transport parameters.” Soil Sci. Soc. Am. J., 62(5), 1172–1178.
Comegna, V., Coppola, A., and Sommella, A. (2001). “Effectiveness of equilibrium and physical non-equilibrium approaches for interpreting solute transport through undisturbed soil columns.” J. Contam. Hydrol., 50(1), 121–138.
Day-Lewis, F. D., and Singha, K. (2008). “Geoelectrical inference of mass transfer parameters using temporal moments.” Water Resour. Res., 44(5), W05201.
Dentz, M., and Berkowitz, B. (2003). “Transport behavior of a passive solute in continuous time random walks and multirate mass transfer.” Water Resour. Res., 39(5), 1111.
De Smedt, F., Wauters, F., and Sevilla, J. (1986). “Study of tracer movement through unsaturated sand.” J. Hydrol. (Amsterdam, Neth.), 85(1), 169–181.
De Smedt, F., and Wierenga, P. J. (1979). “A generalized solution for solute flow in soils with mobile and immobile water.” Water Resour. Res., 15(5), 1137–1141.
De Smedt, F., and Wierenga, P. J. (1984). “Solute transfer through columns of glass beads.” Water Resour. Res., 20(2), 225–232.
Elzein, A. H., and Booker, J. R. (1999). “Ground water pollution by organic compounds: A two-dimensional analysis of contaminant transport in stratified porous media with multiple sources of nonequilibrium partitioning.” Int. J. Numer. Anal. Methods Geomech., 23(14), 1717–1732.
Fitts, C. R. (2002). Groundwater science, Academic Press, Cambridge, MA.
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.
Geng, X., and Boufadel, M. C. (2015). “Numerical study of solute transport in shallow beach aquifers subjected to waves and tides.” J. Geophys. Res.: Oceans, 120(2), 1409–1428.
Geng, X., Boufadel, M. C., Lee, K., Abrams, S., and Suidan, M. (2015). “Biodegradation of subsurface oil in a tidally influenced sand beach: Impact of hydraulics and interaction with pore water chemistry.” Water Resour. Res., 51(5), 3193–3218.
Gerke, H. H., and van Genutcheten, M. T. (1996). “Macroscopic representation of structural geometry for simulating water and solute movement in dual-porosity media.” Adv. Water Resour., 19(6), 343–357.
Goltz, M. N., and Roberts, P. V. (1986a). “Interpreting organic solute transport data from a field experiment using physical non-equilibrium models.” J. Contam. Hydrol., 1(1), 77–93.
Goltz, M. N., and Roberts, P. V. (1986b). “Three dimensional solutions for solute transport in an infinite medium with mobile and immobile zones.” Water Resour. Res., 22(7), 1139–1148.
Goltz, M. N., and Roberts, P. V. (1988). “Simulations of physical non-equilibrium solute transport models: Application to a large-scale field experiment.” J. Contam. Hydrol., 3(1), 37–63.
Huang, K., Toride, N., and Van Genuchten, M. T. (1995). “Experimental investigation of solute transport in large, homogeneous and heterogeneous, saturated soil columns.” Transp. Porous Media, 18(3), 283–302.
Huang, Q., Huang, G., and Zhan, H. (2008). “A finite element solution for the fractional advection-dispersion equation.” Adv. Water Resour., 31(12), 1578–1589.
Joshi, N., Ojha, C. S. P., and Sharma, P. K. (2012). “A nonequilibrium model for reactive contaminant transport through fractured porous media: Model development and semianalytical solution.” Water Resour. Res., 48(10), W10511.
Kookana, R. S., Schuller, R. D., and Aylmore, L. A. G. (1993). “Simulation of simazine transport through soil columns using time-dependent sorption data measured under flow conditions.” J. Contam. Hydrol., 14(2), 93–115.
Li, L., Zhou, H., and Gómez-Hernández, J. J. (2011). “Transport upscaling using multi-rate mass transfer in three-dimensional highly heterogeneous porous media.” Adv. Water Resour., 34(4), 478–489.
Li, Y., and Ghodrati, M. (1994). “Preferential transport of nitrate through soil columns containing root channels.” Soil Sci. Soc. Am. J., 58(3), 653–659.
Liu, G., Chen, Y., and Zhang, D. (2008). “Investigation of flow and transport processes at the MADE site using ensemble Kalman filter.” Adv. Water Resour., 31(7), 975–986.
Liu, G., Zheng, C., and Gorelick, S. M. (2004). “Limits of applicability of the advection-dispersion model in aquifers containing connected high-conductivity channels.” Water Resour. Res., 40(8), W08308.
Maraqa, M. A. (2001). “Prediction of mass-transfer coefficient for solute transport in porous media.” J. Contam. Hydrol., 50(1), 1–19.
Nkedi-Kizza, P., et al. (1983). “Modeling tritium and chloride 36 transport through an aggregated oxisol.” Water Resour. Res., 19(3), 691–700.
Nkedi-Kizza, P., et al. (1984). “On the equivalence of two conceptual models for describing ion exchange during transport through an aggregated oxisol.” Water Resour. Res., 20(8), 1123–1130.
Ogata, A., and Banks, R. B. (1961). A solution of the differential equation of longitudinal dispersion in porous media, U.S. Geological Survey, Reston, VA.
Pang, L., and Close, M. (1999). “Field-scale physical non-equilibrium transport in an alluvial gravel aquifer.” J. Contam. Hydrol., 38(4), 447–464.
Pellett, G. L. (1966). “Longitudinal dispersion, intraparticle diffusion and liquid-phase mass transfer during flow through multi-particle systems.” Tappi, 49, 75–82.
Rand, M. C., Greenberg, A. E., and Taras, M. J. (1976). Standard methods for the examination of water and wastewater, American Public Health Association, American Water Works Association, and Water Pollution Control Federation, Washington, DC.
Remson, I., Hornberger, G. M., and Molz, F. J. (1971). Numerical methods in subsurface hydrology, John Wiley & Sons, New York.
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.
Robinson, R. A., and Stokes, R. H. (2002). Electrolyte solutions, Courier Dover Publications, Mineola, NY.
Sardin, M., Schweich, D., Leij, F. J., and Genuchten, M. T. (1991). “Modeling the nonequilibrium transport of linearly interacting solutes in porous media: A review.” Water Resour. Res., 27(9), 2287–2307.
Selim, H. M., and Mansell, R. S. (1976). “Analytical solution of the equation for transport of reactive solutes through soils.” Water Resour. Res., 12(3), 528–532.
Sharma, P. K., Ojha, C. S. P., Swami, D., Joshi, N., and Shukla, S. K. (2015). “Semi-analytical solutions of multiprocessing non-equilibrium transport equations with linear and exponential distance-dependent dispersivity.” Water Resour. Manage., 29(14), 5255–5273.
Sharma, P. K., Sekhar, M., Srivastava, R., and Ojha, C. S. P. (2012). “Temporal moments for reactive transport through fractured impermeable/permeable formations.” J. Hydrol. Eng., 1302–1314.
Skopp, J., and Gardner, W. R. (1992). “Miscible displacement: An interacting flow region model.” Soil Sci. Soc. Am. J., 56(6), 1680–1686.
Skopp, J., and Warrick, A. W. (1974). “A two-phase model for the miscible displacement of reactive solutes in soils.” Soil Sci. Soc. Am. J., 38(4), 545–550.
Sudicky, E. A., and Frind, E. O. (1982). “Contaminant transport in fractured porous media: Analytical solutions for a system of parallel fractures.” Water Resour. Res., 18(6), 1634–1642.
Swami, D. (2014). “Study on reactive solute transport through porous medium.” Ph.D. thesis, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, India.
Swami, D., Sharma, P. K., and Ojha, C. S. P. (2013). “Experimental investigation of solute transport in stratified porous media.” ISH J. Hydraul. Eng., 19(3), 145–153.
Swami, D., Sharma, P. K., and Ojha, C. S. P. (2014). “Simulation of experimental breakthrough curves using multiprocess non-equilibrium model for reactive solute transport in stratified porous media.” Sadhana, 39(6), 1425–1446.
Swanson, R. D., et al. (2015). “Anomalous solute transport in saturated porous media: Relating transport model parameters to electrical and nuclear magnetic resonance properties.” Water Resour. Res., 51(2), 1264–1283.
Valocchi, A. J. (1985). “Validity of the local equilibrium assumption for modeling sorbing solute transport through homogeneous soils.” Water Resour. Res., 21(6), 808–820.
van Genuchten, M. T. (1985). “A general approach for modeling solute transport in structured soils.” Mem.—Int. Assoc. Hydrogeol., 17(2), 513–526.
van Genuchten, M. T., and Dalton, F. N. (1986). “Models for simulating salt movement in aggregated field soils.” Geoderma, 38(1), 165–183.
van Genuchten, M. T., and Wagenet, R. J. (1989). “Two-site/two-region models for pesticide transport and degradation: Theoretical development and analytical solutions.” Soil Sci. Soc. Am. J., 53(5), 1303–1310.
van Genuchten, M. T., and Wierenga, P. J. (1976). “Mass transfer studies in sorbing porous media: I. Analytical solutions.” Soil Sci. Soc. Am. J., 40(4), 473–480.
van Genuchten, M. T., and Wierenga, P. J. (1977). “Mass transfer studies in sorbing porous media: II. Experimental evaluation with tritium ().” Soil Sci. Soc. Am. J., 41(2), 272–278.
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.
Xu, M., and Eckstein, Y. (1997). “Statistical analysis of the relationships between dispersivity and other physical properties of porous media.” Hydrogeol. J., 5(4), 4–20.
Information & Authors
Information
Published In
Journal of Environmental Engineering
Volume 143 • Issue 1 • January 2017
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Jan 4, 2016
Accepted: Jun 3, 2016
Published online: Jul 28, 2016
Discussion open until: Dec 28, 2016
Published in print: Jan 1, 2017
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.