Numerical analysis of spatial moments for reactive transport through fractured porous media

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, 893–905.10.1016/S0309-1708(00)00010-5
   Web of Science ®Google Scholar
• Bardsley, W.E. (2003). “Temporal moments of a tracer pulse in a perfectly parallel flow system.” Adv. Water Resour., 26, 599–607.10.1016/S0309-1708(03)00047-2
   Web of Science ®Google Scholar
• Berkowitz, B., and Zhou, J. (1996). “Reactive solute transport in a single fracture.” Water Resour. Res., 32, 901–913.10.1029/95WR03615
   Web of Science ®Google Scholar
• Birgersson, L., Moreno, L., Neretnieks, I., Widen, H., and Agren, T. (1993). “A tracer migration experiment in a small Fracture Zone in Granite.” Water Resour. Res., 29(12), 3867–3878.10.1029/93WR02340
   Web of Science ®Google Scholar
• Birkholzer, J., Rubin, H., Daniels, H., and Rouve, G. (1993a). “Contaminant advection and spreading in a fractured permeable formation 1. Parameteric evaluation and analytical solution.” J. Hydrol., 144, 1–33.10.1016/0022-1694(93)90163-4
   Web of Science ®Google Scholar
• Birkholzer, J., Rubin, H., Daniels, H., and Rouve, G. (1993b). “Contaminant advection and spreading in a fractured permeable formation 2. Numerical simulation.” J. Hydrol., 144, 35–58.
   Web of Science ®Google Scholar
• Brusseau, M.L., Jessup, R.E., and Rao, P.S.C. (1989). “Modelling the transport of solutes influenced by multiprocesses nonequilibrium.” Water Resour. Res., 25(9), 1971–1988.10.1029/WR025i009p01971
   Web of Science ®Google Scholar
• Brusseau, M.L., Jessup, R.E., and Rao, P.S.C. (1992). “Modelling the transport of solutes influenced by multiprocesses nonequilibrium and transformation reactions.” Water Resour. Res., 28(1), 175–182.10.1029/91WR02497
   Web of Science ®Google Scholar
• Deng, F.W., Cushman, J.H., and Delleur, J.W. (1993). “A fast fourier transform stochastic analysis of the contaminant transport problem.” Water Resour. Res., 29(9), 3241–3247.10.1029/93WR01236
   Web of Science ®Google Scholar
• Durham, W.B., Bourcier, W.L., and Burton, E.A. (2001). “Direct observation of reactive flow in a single fracture.” Water Resour. Res., 37(1), 1–12.10.1029/2000WR900228
   Web of Science ®Google Scholar
• Freeze, J.F., and Cherry, J.A. (1979). Groundwater, Prentice-Hall, Englewood Cliffs, NJ.
   Google Scholar
• Goltz, M.N., and Roberts, P.V. (1996). “Three-dimensional solutions for solute transport in an infinite medium with mobile and immobile zones.” Water Resour. Res., 22(7), 1139–1148.
   Web of Science ®Google Scholar
• Grisak, G.E., and Pickens, J.F. (1981). “An analytical solution for solute transport through fractured media with matrix diffusion.” J. Hydrol., 52, 47–57.10.1016/0022-1694(81)90095-0
   Web of Science ®Google Scholar
• Guven, O., Molz, F.J., and Melville, J.G. (1984). “An analysis of dispersion in a stratified aquifer.” Water Resour. Res., 20(10), 1337–1354.10.1029/WR020i010p01337
   Web of Science ®Google Scholar
• Kennedy, C.A., and Lennox, W.C. (1995). “A control volume model of solute transport in a single fracture.” Water Resour. Res., 31(2), 313–322.10.1029/94WR01967
   Web of Science ®Google Scholar
• Suresh Kumar, G., and Sekhar, M. (2005). “Spatial moment analysis for transport of nonreactive solutes in a fracture-matrix system.” J. Hydrologic Eng., 10(3), 192–199.10.1061/(ASCE)1084-0699(2005)10:3(192)
   Web of Science ®Google Scholar
• Maloszewski, P., and Zuber, A. (1990). “Mathematical modeling of tracer behavior in short-term experiments in fissured rocks.” Water Resour. Res., 26(7), 1517–1528.10.1029/WR026i007p01517
   Web of Science ®Google Scholar
• Maloszewski, 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
   Web of Science ®Google Scholar
• Masciopinto, C., Mantita, R.L., and Chrysikopoulos, C.V. (2008). “Fate and transport of pathogens in a fractured aquifer in the Salento area, Italy.” Water Research Res., 44, W01404. doi:10.1029/2006WR005643.
   Google Scholar
• Neretnieks, I., Eriksen, T., and Tahtimen, P. (1982). “Tracer movement in a single fissure in granite rock: some experimental results and their interpretation.” Water Resour. Res., 18(4), 849–858.10.1029/WR018i004p00849
   Web of Science ®Google Scholar
• Rubin, H., and Buddemier, R.W. (1996). “Transverse dispersion of contaminants in fractured permeable formations.” J. Hydrol., 176, 133–151.10.1016/0022-1694(95)02783-1
   Web of Science ®Google Scholar
• Rubin, H., Soliman, A.M., Birkholzer, J., and Rouve, G. (1996). “Transport of a tracer slug in a fractured permeable formation.” J. Hydrol., 176, 153–180.10.1016/0022-1694(95)02775-0
   Web of Science ®Google Scholar
• Rubin, H., Dveyrin, D., Birkholzer, J., and Rouve, G. (1997). “Advection and dispersion of contaminant in a permeable medium embedding fractures in which advection velocity is comparatively slow.” J. Hydrol., 199, 135–162.10.1016/S0022-1694(96)03258-1
   Web of Science ®Google Scholar
• Rubin, H., Jansen, D., Forkel, C., and Kongeter, J. (1999). “Simulation of contaminant transport in fractured permeable formations by multiporosity modeling.” J. Hydrol., 223, 107–130.10.1016/S0022-1694(99)00098-0
   Web of Science ®Google Scholar
• 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), 1634–1642.10.1029/WR018i006p01634
   Web of Science ®Google Scholar
• 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), 555–564.10.1029/WR017i003p00555
   Web of Science ®Google Scholar
• Valocchi, A.J. (1985). “Validity of the local equilibrium assumption for modeling sorbing solute transport through homogeneous soils.” Water Resour. Res., 21(6), 808–820.10.1029/WR021i006p00808
   Web of Science ®Google Scholar
• West, M.R., Kueper, B.H., and Novakowski, K.S. (2004). “Semi-analytical solutions for solute transport in fractured porous media using a strip source of finite width.” Adv. Water Resour., 27, 1045–1059.10.1016/j.advwatres.2004.08.011
   Web of Science ®Google Scholar
• Xu, S., and Worman, A. (1999). “Implications of sorption kinetics to radionuclide migration in fractured rock.” Water Resour. Res., 35(11), 3429–3440.10.1029/1999WR900213
   Web of Science ®Google Scholar