Solute flux approach to transport through spatially nonstationary flow in porous media

Water Resources Research

Volumn 36, Issue 8, 2000, Pages 2107-2120

  Zhang, Dongxiao ^a   Andricevic, Roko ^b   Sun, Alexander Y ^a   Hu, Xiaolong ^b   He, Guowei ^a  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

^b DESERT RESEARCH INSTITUTE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

POROUS MEDIUM; PROBABILITY DENSITY FUNCTION; SOLUTE TRANSPORT; STATISTICAL ANALYSIS; TRANSPORT KINETICS;

POROUS MEDIUM; SOLUTE TRANSPORT;

FLOW PATTERN; LAGRANGIAN ANALYSIS; NONSTATIONARITY; POROUS MEDIUM; SOLUTE TRANSPORT; SPATIAL VARIATION;

FLOW FIELDS; GAUSSIAN NOISE (ELECTRONIC); GEOLOGY; POROUS MATERIALS; SOLUTE TRANSPORT; TRAVEL TIME;

GEOLOGICAL STRUCTURES; LAGRANGIAN FRAMEWORKS; MULTI-SCALE STRUCTURES; PREDICTION UNCERTAINTY; PROBABILITY DENSITY FUNCTIONS (PDFS); SPATIALLY NON STATIONARIES; THEORETICAL FRAMEWORK; TRANSVERSE DISPLACEMENTS;

PROBABILITY DENSITY FUNCTION;

EID: 0033864106     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2000WR900085     Document Type: Article

References (36)

1. Andričević, R., and V. Cvetković, Evaluation of risk from contaminants migrating by groundwater, Water Resour. Res., 32, 611-621, 1996.
2. Andričević, R., and V. Cvetković, Relative dispersion for solute flux in aquifers, J. Fluid Mech., 361, 145-174, 1998.
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, 2913-2925, 1994.
4. Bras, R. L., and I. Rodriguez-Iturbe, Random Functions and Hydrology, Addison-Wesley-Longman, Reading, Mass., 1984.
5. Chin, D. A., An assessment of first-order stochastic dispersion theories in porous media, J. Hydrol., 199, 53-73, 1997.
6. Cushman, J. H., and T. R. Ginn, Nonlocal dispersion in media with continuous evolving scales of heterogeneity, Transp. Porous Media, 13, 123-138, 1993.
7. Cvetkovic, V., A. M. Shapiro, and G. Dagan, A solute flux approach to transport in heterogeneous formation, 2, Uncertainty analysis, Water Resour. Res., 28, 1377-1388, 1992.
8. Cvetkovic, V., and G. Dagan, Transport of kinetically sorbing solute by steady random velocity in heterogeneous porous formations, J. Fluid Mech., 265, 189-215, 1994.
9. Cvetkovic, V., H. Cheng, and X.-H. Wen, Analysis of nonlinear effects on tracer migration in heterogeneous aquifers using Lagrangian travel time statistics, Water Resour. Res., 32, 1671-1681, 1996.
10. Dagan, G., Solute transport in heterogeneous porous formation, J. Fluid Mech., 145, 151-177, 1984.
11. Dagan, G., Flow and Transport in Porous Formations, Springer-Verlag, New York, 1989.
12. Dagan, G., Dispersion of passive solute in nonergodic transport by steady velocity fields in heterogeneous formations, J. Fluid Mech., 233, 197-210, 1991.
13. 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.
14. Dagan, G., V. Cvetkovic, and A. M. Shapiro, A solute flux approach to transport in heterogeneous formation, 1, The general framework, Water Resour. Res., 28, 1369-1376, 1992.
15. Fischer, H. B., E. J. List, R. C. Y. Koh, J. Imberger, and N. H. Brooks, Mixing in Inland and Coastal Waters, Academic, San Diego, Calif., 1979.
16. Gelhar, L. W., and C. L. Axness, Three-dimensional stochastic analysis of macrodispersion in aquifers, Water Resour. Res., 19, 161-180, 1983.
17. Graham, W. D., and D. B. McLaughlin, Stochastic analysis of nonstationary subsurface solute transport, 1, Unconditional moments, Water Resour. Res., 25, 215-232, 1989.
18. Indelman, P., and Y. Rubin, Flow in heterogeneous media displaying a linear trend in log conductivity, Water Resour. Res., 31, 1257-1265, 1995.
19. Indelman, P., and Y. Rubin, Solute transport in nonstationary velocity fields, Water Resour. Res., 32, 1259-1267, 1996.
20. Kapoor, V., and L. W. Gelhar, Transport in three-dimensionally heterogeneous aquifers, 1, Dynamics of concentration fluctuations, Water Resour. Res., 30, 1775-1788, 1994.
21. Kreft, A., and A. Zuber, On the physical meaning of the dispersion equation and its solutions for different initial and boundary conditions, Chem. Eng. Sci., 33, 1471-1480, 1978.
22. Lassey, K. R., Unidimensional solute transport incorporating equilibrium and rate-limited isotherms with first-order loss, 1, Model conceptualizations and analytic solutions, Water Resour. Res., 24, 343-350, 1988.
23. Li, S.-G., and D. McLaughlin, Using the nonstationary spectral method to analyze flow through heterogeneous trending media, Water Resour. Res., 31, 541-551, 1995.
24. Neuman, S. P., Eulerian-Lagrangian theory of transport in space-time nonstationary fields: Exact nonlocal formalism by conditional moments and weak approximations, Water Resour. Res., 29, 633-645, 1993.
25. Rubin, Y., Stochastic modeling of macrodispersion in heterogeneous media, Water Resour. Res., 26, 133-142, 1990.
26. 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, 1463-1470, 1992.
27. Rubin, Y., and K. Seong, Investigation of flow and transport in certain cases of nonstationary conductivity fields, Water Resour. Res., 30, 2901-2911, 1994.
28. Selroos, J.-O., A stochastic analytical framework for safety assessment of waste repositories, 1, Theory, Ground Water, 35, 468-477, 1997.
29. Selroos, J.-O., and V. Cvetkovic, Mass flux statistics of kinetically sorbing solute in heterogeneous aquifers: Analytical solution and comparison with simulation, Water Resour. Res., 30, 63-69, 1994.
30. Winter, C. L., C. M. Newman, and S. P. Neuman, A perturbation expansion for diffusion in a random velocity field, SIAM J. Appl. Math., 44(2), 411-424, 1984.
31. Zhang, D., Numerical solutions to statistical moment equations of groundwater flow in nonstationary, bounded heterogeneous media, Water Resour. Res., 34, 529-538, 1998.
32. Zhang, D., and S. P. Neuman, Comment on "A note on head and velocity covariances in three-dimensional flow through heterogeneous anisotropic porous media" by Y. Rubin and G. Dagan, Water Resour. Res., 28, 3343-3344, 1992.
33. Zhang, D., and S. P. Neuman, Eulerian-Lagrangian analysis of transport conditioned on hydraulic data, 1, Analytical-numerical approach, Water Resour. Res., 31, 39-51, 1995.
34. Zhang, D., and S. P. Neuman, Effect of local dispersion on solute transport in randomly heterogeneous media, Water Resour. Res., 32, 2715-2723, 1996.
35. Zhang, D., and C. L, Winter, Moment equation approach to single phase fluid flow in heterogeneous reservoirs, SPEJ Soc Pet. Eng. J., 4(2), 118-127, 1999.
36. Zhang, Y.-K., D. Zhang, and J. Lin, Nonergodic solute transport in three-dimensional heterogeneous isotropic aquifers, Water Resour. Res., 32, 2955-2965, 1996.