The moments of the breakthrough curves of instantaneously and kinetically sorbing solutes in heterogeneous geologic media: Prediction and parameter inference from field measurements

Water Resources Research

Volumn 33, Issue 11, 1997, Pages 2465-2481

  Rubin, Yoram ^a   Cushey, Mark A ^a,b   Wilson, Amy ^a  

^a UC Berkeley   (United States)

^b SAN FRANCISCO STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AQUIFER; BREAKTHROUGH CURVE; HYDRAULIC CONDUCTIVITY; SOLUTE; TRACER;

AQUIFERS; CHEMICAL REACTIONS; HYDROGEOLOGY; KINETICS; MASS TRANSFER; TRAVEL TIME;

BREAK THROUGH CURVE; CHEMICAL NONEQUILIBRIUM; CHEMICAL REACTION PARAMETERS; CORRELATION STRUCTURE; HETEROGENEOUS AQUIFERS; PARAMETER INFERENCE; SPATIAL VARIABILITY; UNIFORM MEAN FLOW;

PARAMETER ESTIMATION;

EID: 0030687499     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/97WR01229     Document Type: Article

References (47)

1. Aris, R., On the dispersion of a solute in a fluid flowing through a tube, Proc. R. Soc. London A., 235, 67-78, 1956.
2. Bellin A., P. Salandin, and A. Rinaldo, Simulation of dispersion in heterogeneous porous formations: Statistics, first-order theories, convergence of computations, Water Resour. Res., 28(9), 2211-2277, 1992.
3. Bellin A., Y. Rubin, and A. Rinaldo, Eulerian Lagrangian approach for modeling of flow and transport in heterogeneous geological formations, Water Resour. Res., 30(11), 2913-2924, 1994.
4. Brusseau, M. L., Transport of reactive contaminants in heterogeneous porous media, Rev. Geophys., 32(3), 285-313, 1994.
5. Cameron, D. K., and A. Klute, Convective-dispersive solute transport with a combined equilibrium and kinetic adsorption model, Water Resour. Res., 13(1), 183-188, 1977.
6. Chen, W., and R. J. Wagenet, Solute transport in porous media with sorption-site heterogeneity, Environ. Sci. Technol., 29, 2725-2734, 1995.
7. Cushey, M. A., and Y. Rubin, Field scale transport of nonpolar organic solutes in 3-D heterogeneous aquifers, Environ. Sci. Technol., 31, 1259-1268, 1997.
8. Cushey, M. A., A. Bellin, and Y. Rubin, Generation of three-dimensional flow fields for statistically anisotropic heterogeneous porous media, Stochastic Hydrol. Hydraul., 9(1), 89-104, 1995.
9. Cvetkovic, V. D., and A. M. Shapiro, Mass arrival of sorptive solutes in heterogeneous porous media, Water Resour. Res., 26(9), 2057-2067, 1990.
10. Cvetkovic V., A. M. Shapiro, and G. Dagan, A solute flux approach to transport in heterogeneous formations, 2, Uncertainty analysis, Water Resour. Res., 28(5), 1377-1388, 1992.
11. Dagan, G., Solute transport in heterogeneous porous formations, J. Fluid Mech., 145, 151-177, 1984.
12. Dagan G., Flow and Transport in Porous Media, 465 pp., Springer-Verlag, New York, 1989.
13. Dagan G., Dispersion of a passive solute in non-ergodic transport by steady velocity fields in heterogeneous formations, J. Fluid Mech., 233, 197-210, 1991.
14. Dagan, G., and V. Nguyen, A comparison of travel time and concentration approaches to modeling transport by groundwater, J. Contam. Hydrol., 4, 79-91, 1989.
15. Dagan G., V. Cvetkovic, and A. Shapiro, A solute flux approach to transport in heterogeneous formations, 1, The general framework, Water Resour. Res., 28(5), 1369-1376, 1992.
16. Desbarats, A., Macrodispersion in sand-shale sequences, Water Resour. Res., 26(1), 153-164, 1990.
17. Destouni, G., and W. Graham, Solute transport through an integrated heterogeneous soil-groundwater system, Water Resour. Res., 31(8), 1935-1945, 1995.
18. Fiori, A., Finite Peclet extensions of Dagan's solutions to transport in anisotropic heterogeneous formations, Water Resour. Res., 32(1), 193-198, 1996.
19. Folin, S., Numerical calculations of heterogeneity of groundwater flow, Ph.D. thesis, R. Inst. of Technol., Stockholm, 1992.
20. Freyberg, D. L., 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, 1986.
21. Gelhar, L. W., Stochastic Subsurface Hydrology, Prentice Hall, 1993.
22. Gelhar, L. W., and C. L. Axness, Three-dimensional stochastic analysis of macrodispersion in aquifers, Water Resour. Res., 19, 161-180, 1983.
23. Glimm, J., W. B. Lindquist, F. Pereira, Q. Zhang, A theory of macrodispersion for the scale-up problem, Transport in Porous Media, 13, 97-122, 1993.
24. Goltz, M. N., and P. V. Roberts, Using the methods of moments to analyze three-dimensional diffusion-limited solute transport from temporal and spatial perspective, Water Resour. Res., 23(8), 1575-1585, 1987.
25. Graham, W., and D. McLaughlin, Stochastic analysis of nonstationary subsurface solute transport, 1, Unconditional moments, Water Resour. Res., 25(2), 215-232, 1989.
26. Harvey, C. F., and S. M. Gorelick, Temporal moment-generating equations: Modeling transport and mass transfer in heterogeneous aquifers, Water Resour. Res., 31(8), 1895-1911, 1995a.
27. Harvey, C. F., and S. M. Gorelick, Mapping hydraulic conductivity by sequential conditioning with measurements of solute arrival time, hydraulic head, and local conductivity, Water Resour. Res., 31(7), 1615-1626, 1995b.
28. Hsu, K.-C., D. Zhang, and S. P. Neuman, Higher-order effects on flow and transport in randomly heterogeneous porous media, Water Resour. Res., 32, 571-582, 1996.
29. Leblanc D. R., S. P. Garabedian, K. M. Hess, L. W. Gelhar, R. D. Quadri, K. G. Stollenwerk, and W. W. Wood, Large scale natural gradient tracer test in sand and gravel, Cape Cod, Massachusetts, experimental design and observed tracer movement, Water Resour. Res., 27(5), 895-910, 1991.
30. Nkedi-Kizza, P., J. W. Biggar, H. M. Selim, M. T. van Genuchten, P. J. Wierenga, J. M. Davidson, and D. R. Nielsen, On the equivalence of two conceptual models for describing ion exchange during transport through an aggregated oxisol, Water Resour. Res., 20(8), 1123-1130, 1984.
31. Parker, J. C., and A. J. Valocchi, Constraints on the validity of equilibrium and first-order kinetic transport models in structured soils, Water Resour. Res., 22(3), 399-407, 1986.
32. Quinodoz, H. A. M., and A. J. Valocchi, Stochastic analysis of the transport of kinetically sorbing solutes in aquifers with randomly heterogeneous hydraulic conductivity, Water Resour. Res., 29(9), 3227-3240, 1993.
33. Rehfeldt, K. R., J. M. Boggs, and L. W. Gelhar, Field study of dispersion in a heterogeneous aquifer, 3, Geostatistical analysis of hydraulic conductivity, Water Resour. Res., 28(12), 3309-3324, 1992.
34. Rubin, Y., Prediction of tracer plume migration in disordered porous media by the method of conditional probabilities, Water Resour. Res., 27(6), 1291-1308, 1991.
35. Rubin, Y., and G. Dagan, Conditional estimation of solute travel time in heterogeneous formations: Impact of transmissivity measurements, Water Resour. Res., 28(4), 1033-1040, 1992a.
36. Rubin, Y., and G. Dagan, A note on head and velocity covariances in three-dimensional flow through heterogeneous anisotropic porous media, Water Resour. Res., 28(5), 1463-1470, 1992b.
37. Rubin, Y., and S. Ezzedine, The travel time of solutes at the Cape Cod tracer experiment: Data analysis, modeling and structural parameters inference, Water Resour. Res., 33, 1537-1547, 1997.
38. Rubin, Y., and K. Seong, Investigation of flow and transport in certain cases of nonstationary conductivity fields, Water Resour. Res., 30(11), 2901-2912, 1994.
39. Rubin, Y., S. S. Hubbard, A. Wilson, and M. A. Cushey, Site characterization, in CRC Groundwater Manual, CRC Press, Boca Raton, Fla., in press, 1997.
40. Selim, H. M., J. M. Davidson, and R. S. Mansel, Evaluation of a two-site adsorption model for describing solute transport in soils, in Proceedings of 1976 Summer Computer Simulation Conference, Washington, D.C., pp. 444-448, Simul. Counc., Inc., La Jolla, Calif., 1976.
41. Selroos, J. O., and V. Cvetkovic, Modeling solute advection coupled with sorption kinetics in heterogeneous formations, Water Resour. Res., 28(5), 1271-1278, 1992.
42. Shapiro, A. M., and V. D. Cvetkovic, Stochastic analysis of solute arrival time in heterogeneous porous media, Water Resour. Res., 24, 1711-1718, 1988.
43. Srivastava, R., and M. L. Brusseau, Nonideal transport of reactive solutes in heterogeneous porous media, 1, Numerical model development and moment analysis, J. Contam. Hydrol., 24, 117-143, 1996.
44. Valocchi, A. J., Validity of the local equilibrium assumption for modeling sorbing solute transport through homogeneous soils, Water Resour. Res., 21(6), 808-820, 1985.
45. Valocchi, A. J., Effect of radial flow on deviations from local equilibrium during sorbing solute transport through soils containing large cylindrical macropores, Water Resour. Res., 22(12), 1693-1701, 1986.
46. van Genuchten, M. T., and P. J. Wierenga, Mass transfer studies in sorbing porous media, 1, Analytical solutions, Soil Sci Soc. Am. J., 40, 473-480, 1976.
47. Wilson, J. L., and W. R. Linderfelt, Field study of capture zones in a shallow aquifer, in Proceedings of IAHR Conference on Transport and Reactive Processes in Aquifers, Zurich, 11-15 April, 1994, edited by T. Dracos, F. Stauffer, A. A. Balkema, Rotterdam, Netherlands, 1994.