Influence of Sorption Intensity on Solute Mobility in a Fractured Formation
Publication: Journal of Environmental Engineering
Volume 135, Issue 1
Abstract
Diffusive mass transfer between fracture and matrix accompanied with sorption significantly influences the efficiency of natural attenuation in hard rocks. While these processes have extensively been studied in a fractured formation, limited information exists on the sorption nonlinearity. For this purpose, a numerical model is developed that couples matrix diffusion and nonlinear sorption at the scale of a single fracture using the dual-porosity concept. The study is limited to a constant continuous solute source boundary condition. The influence of both favorable and unfavorable sorption intensities on solute mobility is investigated using the method of spatial moments. The differing capacities of available sorption sites between fracture surfaces at the fracture-matrix interface and the solid grain surfaces within the rock matrix result in a slower migration of solutes along the fracture, and a larger amount of diffusive mass transfer away from the high permeability fracture.
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Acknowledgments
Thanks are extended to the editor as well as the anonymous reviewers, whose editorial and substantive comments improved the paper.
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.
Abulaban, A., Nieber, J. L., and Misra, D. (1998). “Modeling plume behavior for nonlinearly sorbing solutes in saturated homogeneous porous media.” Adv. Water Resour., 21(6), 487–498.
Allen-King, R. M., Groenevelt, H., Mackay, D. M., and Warren, C. J. (1996). “Nonlinear chlorinated-solvent sorption in four aquitards.” J. Contam. Hydrol., 22, 203–221.
Banton, O., and Bangoy, L. M. (1997). Hydrogeologie, multiscience ennvironnmentale des eaux souterraines (Hydrologeology, environmental multiscience of groundwater), Presses de l’Universite du Quebec/AUPELF, Sainte-Foy, Quebec, Canada.
Bear, J. (1993). “Modeling flow and contaminant transport in fractured rocks.” Flow and contaminant transport in fractured rock, J. Bear, C.-F. Tsang, and G. de Marsily, eds., Academic, San Diego, Calif., 1–37.
Bibby, R. (1981). “Mass transport of solutes in dual-porosity media.” Water Resour. Res., 17(4), 1075–1081.
Birgersson, L., Widén, H., Agren, T., and Neretnieks, I. (1992). “Tracer migration experiments in the Stripa mine 1980–1991.” SKB STRIPA Technical Rep. No. TR 92-25, Swedish Nuclear Fuel and Waste Management Company.
Byegard, J., Skarnemark, G., and Skalberg, M. (1991). “Radioactive tracer study performed in a dipole geometry in a highly conductive fracture zone.” Mater. Res. Soc. Symp. Proc., 212, 677–684.
Chiou, C. T., and Kile, D. E. (1998). “Deviations from sorption linearity on soils of polar and nonpolar organic compounds at low relative concentrations.” Environ. Sci. Technol., 32(3), 338–343.
Chiou, C. T., Kile, D. E., Rutherford, D. W., Sheng, G., and Boyd, S. A. (2000). “Sorption of selected organic compounds from water to a peat soil and its humic-acid and humin fractions: Potential sources of the sorption nonlinearity.” Environ. Sci. Technol., 34(7), 1254–1258.
Cvetkovic, V., Selroos, J. O., and Cheng, H. (1999). “Transport of reactive solute in single fractures.” J. Fluid Mech., 318, 335–356.
D’Alessandro, M. et al. (1997). “Field tracer experiment in a low permeability fractured medium: results from El Berrocal site.” J. Contam. Hydrol., 26(1–4): 189–201.
Francisco, J. J. H., Giradles, J. V., and Laguna, A. (2005). “Description of sorbing tracers transport in fractured media using the lattice model approach.” J. Contam. Hydrol., 81, 187–204.
Grisak, G. E., and Pickens, J. F. (1980). “Solute transport through fractured media 1. The effect of matrix diffusion.” Water Resour. Res., 16(4), 719–730.
Hadermann, J., and Heer, W. (1996). “The Grimsel (Switzerland) migration experiment: Integrating field experiments, laboratory investigations and modelling.” J. Contam. Hydrol., 21, 87–100.
Haggerty, R., Fleming, S. W., Meigs, L. C., and McKenna, S. A. (2001). “Tracer tests in a fractured dolomite, 2, Analysis of mass transfer in single-well injection-withdrawal tests.” Water Resour. Res., 37(5), 1129–1142.
Heer, W., and Hadermann, J. (1994). “Grimsel test site: Modelling radionuclide migration field experiments.” Nagra Technical Rep. No. 94-18, National Cooperative for the Disposal of Radioactive Waste, Wettingen, Switzerland.
Himmelsbach, T., Hotzl, H., and Maloszewski, P. (1998). “Solute transport processes in a highly permeable fault zone of Lindau fractured rock test site (Germany).” Ground Water, 36(5), 792–800.
Huang, W., Young, T. M., Schlautman, M. A., Yu, H., and Weber, W. J., Jr. (1997). “A distributed reactivity model for sorption by soils and sediments: 9. General isotherm nonlinearity and applicability of the dual reactive domain model.” Environ. Sci. Technol., 31(6), 1703–1710.
Huyakorn, P. S., Lester, B. H., and Mercer, J. W. (1983). “An efficient finite element technique for modeling transport in fractured porous media, 1. Single species transport.” Water Resour. Res., 19(3), 841–854.
Jardine, P. M. et al. (1999). “Quantifying diffusive mass transfer in fractured shale bedrock.” Water Resour. Res., 35(7), 2015–2030.
Karapanagioti, H. K., Kleineidam, S., Sabatini, D. A., Grathwohl, P., and Ligouis, B. (2000). “Impact of heterogeneous organic matter on phenanthrene sorption: Equilibrium and kinetic studies with aquifer material.” Environ. Sci. Technol., 34(3), 406–414.
Karapanagioti, H. K., and Sabatini, D. A. (2000). “Impacts of heterogeneous organic matter on phenanthrene sorption: different aquifer depths.” Environ. Sci. Technol., 34(12), 2453–2460.
Kleineidam, S., Rügner, H., Ligouis, B., and Grathwohl, P. (1999). “Organic matter facies and equilibrium sorption of phenanthrene.” Environ. Sci. Technol., 33(10), 1637–1644.
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.
Landstrom, O., et al. (1982). “A comparison of in situ radionuclide migration studies in the Studsvik area and laboratory measurements.” Scientific basis for nuclear waste management—V, W. Lutze, ed., Elsevier, New York.
Maloszewski, P., and Zuber, A. (1985). “On the theory of tracer experiments in fissured rocks with a porous matrix.” J. Hydrol., 79, 333–358.
Maloszewski, P., and Zuber, A. (1990). “Mathematical modeling of tracer behavior in short-term tracer experiments and fissured rocks.” Water Resour. Res., 26, 1517–1528.
Maloszewski, P., and Zuber, A. (1991). “Influence of matrix diffusion and exchange reactions on radiocarbon ages in fissured carbonate aquifers.” Water Resour. Res., 27(8), 1937–1945.
Maloszewski, P., and Zuber, A. (1992). “On the calibration and validation of mathematical models for the interpretation of tracer experiments in groundwater.” Adv. Water Resour., 15, 47–62.
Neretnieks, I. (1980). “Diffusion in the rock matrix: An important factor in radionuclide retardation?.” J. Geophys. Res. B, 85(B8), 4379–4397.
Neretnieks, I. (1981). “Age dating of groundwater in fissured rock: Influence of water volume in micropores.” Water Resour. Res., 17(2), 421–422.
Rasmuson, A., and Neretnieks, I. (1981). “Migration of radionuclides in fissured rock: The influence of micropore diffusion and longitudinal dispersion.” J. Geophys. Res. B, 86(B5), 3749–3758.
Rivett, M. O., and Allen-King, R. M. (2003). “A controlled field experiment on groundwater contamination by a multicomponent DNAPL: Dissolved-plume retardation.” J. Contam. Hydrol., 66, 117–146.
Sekhar, M., Suresh Kumar, G., and Misra, D. (2006). “Numerical modeling and analysis of solute velocity and macrodispersion for linearly and nonlinearly sorbing solutes in a single fracture with matrix diffusion.” J. Hydrol. Eng., 11(4), 319–328.
Shan, C., and Pruess, K. (2005). “Sorbing tracers—A potential tool for determining effective heat transfer area in hot fractured rock systems.” Proc., Thirtieth Workshop on Geothermal Reservoir Engineering.
Suresh Kumar, G. (2008). “Effect of sorption intensities on dispersivity and macrodispersion coefficient in a single fracture with matrix diffusion.” Hydrogeol. J., 16(2), 235–249.
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), 467–480.
Tsang, Y. W., and Tsang, C. F. (2001). “A particle-tracking method for advective transport in fractures with diffusion into finite matrix blocks.” Water Resour. Res., 37(3), 831–835.
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.
Voice, T. C., and Weber, W. J. J. (1983). “Sorption of hydrophobic compounds by sediments, soils and suspended solids—I: Theory and background.” Water Res., 17, 1433–1441.
Wallach, R., and Parlange, J. Y. (1998). “Modeling transport in a single crack by the dual-porosity concept with a boundary layer at the interface.” J. Contam. Hydrol., 34, 121–138.
Weber, W. J. J., McGinley, P. M., and Katz, L. E. (1991). “Sorption phenomena in subsurface systems: Concepts, models and effects on contaminant fate and transport.” Water Res., 25(5), 499–528.
Xia, G., and Ball, W. P. (1999). “Adsorption-partitioning uptake of nine low polarity organic chemicals on a natural sorbent.” Environ. Sci. Technol., 33(2), 262–269.
Xia, G., and Ball, W. P. (2000). “Polanyi-based model for the competitive sorption of low-polarity organic contaminants on a natural sorbent.” Environ. Sci. Technol., 34(7), 1246–1253.
Xing, B., and Pignatello, J. J. (1997). “Dual-mode sorption of low-polarity compounds in glassy polyvinyl chloride and soil organic matter.” Environ. Sci. Technol., 31(3), 792–799.
Young, D. F., and Ball, W. P. (1999). “Two-region linear/nonlinear sorption modeling: Batch and column experiments.” Environ. Toxicol., 18(8), 1686–1693.
Zimmerman, M. D., Bennett, P. C., Sharp, J. M., Jr., and Choi, W. J. (2002). “Experimental determination of sorption in fractured flow systems.” J. Contam. Hydrol., 58, 51–77.
Information & Authors
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Published In
Journal of Environmental Engineering
Volume 135 • Issue 1 • January 2009
Pages: 1 - 7
Copyright
© 2009 ASCE.
History
Received: Oct 25, 2006
Accepted: Aug 5, 2008
Published online: Jan 1, 2009
Published in print: Jan 2009
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