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Articles

Numerical modelling and spatial moment analysis of solute transport with Langmuir sorption in a fracture matrix-coupled system

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Pages 28-41 | Received 20 Feb 2014, Accepted 24 Jun 2014, Published online: 21 Jul 2014

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), 893–905.10.1016/S0309-1708(00)00010-5
  • 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), 487–498.10.1016/S0309-1708(97)00007-9
  • Aris, R. (1956). “On the dispersion of a solute in a fluid flowing through a tube.” Proc. R. Soc. London, Ser. A, 235, 67–77.10.1098/rspa.1956.0065
  • Banton, O., Bangoy, and L.M. (1997). Hydrogeologie, multiscience environnmentale des eaux souterraines [Hydrologeology, environmental multiscience of groundwater], Presses de l’Universite du Quebec/AUPELF, Sainte-Foy, 460.
  • Brusseau, M. (1995). “The effect of nonlinear sorption on transformation of contaminants during transport in porous media.” J. Contam. Hydrol., 17(4), 277–291.10.1016/0169-7722(94)00041-F
  • Freyberg, D.L. (1986). “A natural gradient experiment on solute transport in a sand aquifer: 2. Spatial moments and the advection and dispersion of nonreactive tracers.” Water Resour. Res., 22, 2031–2046.10.1029/WR022i013p02031
  • Goltz, M.N., and Roberts, P.V. (1986). “Three-dimensional solutions forsolute transport in an infinite medium with mobile and immobile zones.” Water Resour. Res., 22(7), 1139–1148.10.1029/WR022i007p01139
  • Güven, O., Molz, F.J., and Melville, J.G. (1984). “An analysis of dispersion in a stratified aquifer.” Water Resour. Res., 20, 1337–1354.10.1029/WR020i010p01337
  • Horn, F.J.M., and Kipp, R.L. Jr. (1971). “Induced transport in pulsating flow.” AIChE J., 17, 621–626.10.1002/(ISSN)1547-5905
  • Kennedy, C.A., and Lennox, W.C.A. (1995). “A control volume model of solute transport in a single fracture.” Water Resour. Res., 31(2), 313–322.10.1029/94WR01967
  • Małoszewski, P., and Zuber, A. (1985). “On the theory of tracer experiments in fissured rocks with a porous matrix.” J. Hydrol., 79, 333–358.10.1016/0022-1694(85)90064-2
  • Patnaik, L.N., and Das, C.P. (1995). “Removal of hexavalent chromium by blast furnace flue dust.” Indian J. Environ. Health, 37(1), 19–25.
  • Renu, V., and Suresh Kumar, G. (2012). “Numerical modelling and spatial moment analysis of solute mobility and spreading in a coupled fracture-skin-matrix system.” Geotech. Geol. Eng., 30, 1289–1302.10.1007/s10706-012-9540-3
  • Satter, A., Shum, Y.M., Adams, W.T., and Davis, L.A. (1980). “Chemical transport in porous media with dispersion and rate-controlled adsorption.” Soc. Petrol. Eng. J., 20(3), 129–138.10.2118/6847-PA
  • Sekhar, M., Suresh Kumar, G., and Misra, D. (2006). “Numerical modelling and analysis of solute velocity and macro-dispersion for linearly and non-linearly sorbing solutes in a single fracture with matrix diffusion.” J. Hydrol. Eng., 11(4), 319–328.10.1061/(ASCE)1084-0699(2006)11:4(319)
  • Sharma, P.K., and Srivastava, R. (2014). “Numerical analysis of spatial moments for reactive transport through fractured porous media.” ISH J. Hydraul. Eng., doi:10.1080/09715010.2014.884360.
  • Singh, D.K., and Srivastava, B. (2001). “Basic dyes removal from wastewater by adsorption on rice husk carbon.” Ind. J. Chem. Tech., 8, 133–139.
  • Srivastava, R., and Brusseau, M.L. (1996). “Nonideal transport of reactive solutes in heterogeneous porous media: 1. Numerical model development and moments analysis.” J. Contam. Hydrol., 24(2), 117–143.10.1016/S0169-7722(96)00039-3
  • Srivastava, R., Sharma, P.K., and Brusseau, M.L. (2002). “Spatial moments for reactive transport in heterogeneous porous media.” J. Hydrol. Eng., 7(4), 336–341.10.1061/(ASCE)1084-0699(2002)7:4(336)
  • Suresh Kumar, G. (2008). “Effect of sorption intensities on dispersivity and macro-dispersion coefficient in a single fracture with matrix diffusion.” Hydrogeol. J., 16, 235–249.10.1007/s10040-007-0234-5
  • Suresh Kumar, G. (2009). “Influence of sorption intensity on solute mobility in a fractured formation.” J. Environ. Eng., 135(1), 1–7.10.1061/(ASCE)0733-9372(2009)135:1(1)
  • Suresh Kumar, G., and Sekhar, M. (2005). “Spatial moment analysis for transport of nonreactive solutes in fracture-matrix system.” J. Hydrol. Eng., 10(3), 192–199.10.1061/(ASCE)1084-0699(2005)10:3(192)
  • Suresh Kumar, G., Sekhar, M., and Misra, D. (2006). “Interactive comment on “Time dependent dispersivity behavior of non-reactive solutes in a system of parallel fractures”.” Hydrol. Earth Syst. Sc., 3, S1017–S1026.
  • 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.
  • Taylor, G.E. (1953). “Dispersion of soluble matter in solvent flowing slowly through a tube.” Proc. R. Soc. London, Ser. A, 219, 186–203.10.1098/rspa.1953.0139
  • Valocchi, A.J. (1985). “Validity of the local equilibrium assumption for modelling sorbing solute transport through homogeneous soils.” Water Resour. Res., 21(6), 808–820.10.1029/WR021i006p00808
  • Weber, W.J.J., McGinley, P.M., and Katz, L.E. (1991). “Sorption phenomena insubsurface systems: concepts, models and effects on contaminant fate and transport.” Water Res., 25(5), 499–528.10.1016/0043-1354(91)90125-A

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