Transport with spatially variable kinetic sorption: Recursion formulation

Advances in Water Resources

Volumn 22, Issue 5, 1999, Pages 549-555

  Mishra, A K ^a   Gutjahr, A ^a   Rajaram, H ^b  

^a NEW MEXICO INSTITUTE OF MINING AND TECHNOLOGY   (United States)

^b UCB 450   (United States)

Author keywords

Heterogeneity of sorption and desorption rates; Markov process; Recursion formulation; Solute transport; Sorption kinetics; Spatial variability

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; DESORPTION; MARKOV PROCESSES; REACTION KINETICS; RECURSIVE FUNCTIONS; SORPTION;

SOLUTE TRANSPORT;

GROUNDWATER FLOW;

AQUIFER; POLLUTANT TRANSPORT; SOLUTE TRANSPORT; SORPTION;

AQUIFER POLLUTION; POLLUTANT TRANSPORT; SOLUTE TRANSPORT; SORPTION;

EID: 0033555491     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0309-1708(98)00023-2     Document Type: Article

References (29)

1. Andricevic R., Foufoula-Georgiou E. Modeling kinetic non-equilibrium using the first two moments of the residence time distribution. Stochastic Hydrology and Hydraulics. 5:1991;155-171.
2. Ball W.P., Roberts P.V. Long-term sorption of halogenated organic chemicals by aquifer materials: 2. Intraparticle diffusion. Environ. Sci. Technol. 25:1991;1223-1237.
3. Bellin A., Rinaldo A., Bosma W.J.P., van der Zee S.E.A.T.M., Rubin Y. Linear equilibrium adsorbing solute transport in physically and chemically heterogeneous porous formation: 1. Analytical solutions. Water Resour. Res. 29(12):1993;4019-4030.
4. Burr D.T., Sudicky E.A., Naff R.L. Nonreactive and reactive solute transport in three-dimensional heterogeneous porous media: mean displacement, plume spreading and uncertainty. Water Resour. Res. 30:1994;791-816.
5. Chrysikopoulos V.D., Kitanidis P.K., Roberts P.V. Analysis of one-dimensional solute transport through media with spatially variable retardation factor. Water Resour. Res. 26(3):1990;437-446.
6. Cvetkovic V., Shapiro A.M. Mass arrival of sorptive solute in heterogeneous porous media. Water Resour. Res. 26(5):1990;2057-2067.
7. Cvetkovic V., Dagan G. Transport of kinetically sorbing solute by steady random velocity in heterogeneous porous formations. J. Fluid Mechanics. 265:1994;189-215.
8. Dagan, G., Flow and Transport Through Porous Formations. Springer-Verlag, 1989.
9. Dagan G., Cvetkovic V. Spatial moments of a kinetically sorbing plume in a heterogeneous aquifer. Water Resour. Res. 29(12):1993;4053-4061.
10. Garabedian, S. P., Gelhar, L. W. and Celia, M. A., Large scale dispersive transport in aquifers: field experiments and reactive transport theory, Report. No. 315. Ralph M. Parsons Laboratory, Department of Civil Engineering, M.I.T., Cambridge, 1988.
11. Goltz M.N., Roberts P.V. Interpreting organic solute transport data from a field experiment using physical nonequilibrium models. J. Contam. Hydrol. 1(1/2):1986;77-93.
12. Giddings J.C., Eyring H. A molecular dynamic theory of chromatography. Journal of Physical Chemistry. 59:1955;416-421.
13. Gutjahr, A., Bullard, B. and Hatch, S., Joint conditional simulations and flow modeling. In Geostatistics for the Next Century, ed. R. Dimitrakopoulos. Kluwer, 1994, pp. 185-196.
14. d. Water Resour. Res. 31:1995;2239-2252.
15. Kleinrock, L., Queuing Systems, Vol. 1. Wiley, New York, 1975.
16. Miller C.T., Weber W.J. Sorption of hydrophobic organic pollutants in saturated soil system. J. Contam. Hydrol. 1:1986;243-261.
17. Mishra, A. K., Reactive transport in chemically and physically heterogeneous porous media: effect of non-equilibrium linear sorption. Ph.D. dissertation, New Mexico Institute of Mining and Technology, Socorro, NM, 1997.
18. Nkedi-Kizza P., Biggar J.M., van Genuchten M.Th., Wierenga P.J., Selim H.M., Davidson J.J., Nielson D.R. Modeling tritium and chloride36 transport through an aggregated oxisol. Water Resour. Res. 19:1983;691-700.
19. Ptacek C.J., Gilham R.W. Laboratory and field measurements of non-equilibrium transport in the Borden aquifer, Ontario, Canada. J. Contam. Hydrol. 10:1982;119-158.
20. Quinodoz H.M., Valocchi A.J. Stochastic analysis of the transport of kinetically sorbing solutes in aquifers with randomly heterogeneous hydraulic conductivity. Water Resour. Res. 29(9):1993;3227-3240.
21. Roberts P.V., Goltz M.N., Mackay D.M. 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):1986;2047-2058.
22. Robin M.J.L., Gutjahr A.L., Sudicky E.A., Wilson J.L. Cross-correlated random field generator with direct Fourier Transform method. Water Resour. Res. 29(7):1993;2385-2397.
23. Selroos J.O., Cvetkovic V. Modeling solute advection coupled with sorption kinetics in heterogeneous formations. Water Resour. Res. 28:1992;1271-1278.
24. Simmons C.S., Ginn T.R., Wood B.D. Stochastic-convective transport with nonlinear reaction: mathematical framework. Water Resour. Res. 31:1995;2675-2689.
25. Stollenwerk K.G. Modeling adsorption of molybdate. Water Resour. Res. 31(2):1995;347-357.
26. Tompson A.F.B., Gelhar L.W. Numerical simulation of solute transport in three-dimensional, randomly heterogeneous porous media. Water Resour. Res. 26(10):1990;2541-2562.
27. Tompson A.F.B. Numerical simulation of chemical migration in physically and chemically heterogeneous porous media. Water Resour. Res. 29(11):1993;3709-3726.
28. Valocchi A.J. Spatial moment analysis of the transport of kinetically adsorbing solutes through stratified aquifers. Water Resour. Res. 25(2):1989;273-279.
29. Weber W.J. Jr., McGinley P.M., Katz L.E. Sorption phenomena in subsurface systems: concepts, models and effects on contaminant fate and transport. Water Res. 25(5):1991;499-528.