Differences in the scale-dependence of dispersivity estimated from temporal and spatial moments in chemically and physically heterogeneous porous media

Advances in Water Resources

Volumn 28, Issue 7, 2005, Pages 745-759

  Fernàndez Garcia, Daniel ^a   Illangasekare, Tissa H ^b   Rajaram, Harihar ^c  

^a UNIVERSITAT POLITÈCNICA DE VALÈNCIA   (Spain)

^b Department of Geology and Geological Engineering   (United States)

^c UCB 450   (United States)

Author keywords

Dispersivity; Heterogeneity; Moment analysis; Particle tracking; Stochastic subsurface hydrology; Tracer tests

Indexed keywords

AQUIFERS; COMPUTATIONAL METHODS; POROUS MATERIALS; THERMAL PLUMES;

DISPERSIVITY; SPATIAL MOMENTS; TEMPORAL MOMENTS; TRACER TECHNIQUES;

WATER RESOURCES;

HETEROGENEOUS MEDIUM; POLLUTANT TRANSPORT; POROUS MEDIUM; TRACER;

BREAKTHROUGH CURVE; DISPERSIVITY; HETEROGENEOUS MEDIUM; POLLUTANT TRANSPORT; POROUS MEDIUM; TRACER;

EID: 17844400729     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2004.12.011     Document Type: Article

References (60)

1. R. Ababaou D. McLaughlin L.W. Gelhar A.F.B. Tompson Numerical simulation of three-dimensional saturated flow in randomly heterogeneous porous media Transp Porous Media 4 1989 549-565
2. R. Aris On the dispersion of linear kinematic waves Proc R Soc London 245 Series A 1958 268-277
3. J. Bear Dynamics of fluids in porous media 1972 Dover Mineola, NY
4. A. Bellin A. Rinaldo W.J.P. Bosma S.E.A.T.M. Vander Zee Y. Rubin Linear equilibrium adsorbing solute transport in physically and chemically heterogeneous porous formations, 1. Analytical solutions Water Resour Res 29 12 1993 4019-4030
5. d's. Rep. UCRL-AR-105002, Lawrence Livermore Natl. Lab., Livermore, CA
6. D.T. Burr E.A. Sudicky R.L. Naff Nonreactive and reactive solute transport in three-dimensional heterogeneous porous media: Mean displacement, plume spreading, and uncertainty Water Resour Res 30 3 1994 791-815
7. Chao C-H. 2000. Scale dependence of transport parameters estimated from forced-gradient tracer tests in heterogeneous formations. Ph.D. Thesis. Colorado University, Boulder, Colorado
8. D.A. Chin T. Wang An investigation of the validity of first-order stochastic dispersion theories in isotropic porous media Water Resour Res 28 6 1992 1531-1542
9. V. Cvetkovic H. Cheng X.-H. Wen Analysis of nonlinear effects on tracer migration in heterogeneous aquifers using Lagrangian travel time statistics Water Resour Res 32 6 1996 1671-1680
10. V. Cvetkovic G. Dagan H. Cheng Contaminant transport in aquifers with spatially variable hydraulic conductivity and sorption properties Proc R Soc London A 454 1998 1-36
11. Dagan Solute transport in heterogeneous porous formations J Fluid Mech 145 1984 151-177
12. G. Dagan Time-dependent macrodispersion for solute transport in anisotropic heterogeneous aquifers Water Resour Res 24 9 1988 1491-1500
13. G. Dagan Flow and transport in porous formations 1989 Springer-Verlag Berlin 461 p
14. G. Dagan Transport in heterogeneous porous formations: Spatial moments, ergodicity and effective dispersion Water Resour Res 26 6 1990 1281-1290
15. G. Dagan V. Cvetkovic A. Shapiro A solute flux approach to transport in heterogeneous formations. 1. The general framework Water Resour Res 28 5 1992 1369-1376
16. A. Fadili R. Ababou R. Lenormand Dispersive particle transport: identification of macroscale behavior in heterogeneous stratified subsurface flows Math Geol 31 7 1999 793-840
17. Fernàndez-Garcia, 2003. Scale-dependence of non-reactive and sorptive transport parameters estimated from radial and uniform flow tracer tests in heterogeneous formations: Experimental and numerical investigations. PhD Thesis, Colorado School of Mines, 396 p
18. D. Fernàndez-Garcia T.H. Illangasekare H. Rajaram Conservative and sorptive forced-gradient and uniform flow tracer tests in a three-dimensional laboratory test aquifer Water Resour Res 40 2004 W10103
19. D.L. Freyberg 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 13 1986 2031-2046
20. R.A. Freeze J.A. Cherry Groundwater 1979 Prentice-Hall Englewood Cliffs, NJ
21. Garabedian SP, Gelhar LW, Celia MA. 1988. Large-scale dispersive transport in aquifers: Field experiments and reactive transport theory. Rep. 315, Ralph M. Parsons Lab., Dep. of Civil Eng., Mass. Inst. of Technol., Cambridge
22. L.W. Gelhar C. Welty K. Rehfeldt A critical review of data on field-scale dispersion aquifers Water Resour Res 28 7 1992 1955-1974
23. M.N. Goltz P.V. Roberts Using the method of moments to analyze three-dimensional diffusion-limited solute transport from temporal and spatial perspectives Water Resour Res 23 8 1987 1575-1585
24. Harbaugh AW, Banta ER, Hill MC, McDonald MG. MODFLOW-2000, The US geological survey modular ground-water model-user guide to modularization concepts and the ground-water flow process, Open-file Report 00-92. 2000
25. M. Kendall A. Stuart The advanced theory of statistics 1977 Macmillan New York
26. P.K. Kitanidis Prediction by the method of moments of transport in a heterogeneous formation J Hydrol 102 1988 453-473
27. P.K. Kitanidis The concept of the dilution index Water Resour Res 30 7 1994 2011-2026
28. W. Kinzelbach The random walk method in pollutant transport simulation In: E. Custodio A. Gurgui J.P. Lobo Ferreira editors. Groundwater flow and quality modelling 1987 D. Reidel Norwell, MA 227-246
29. A. Kreft A. Zuber On the physical meaning of the dispersion equation and its solution for different initial and boundary conditions Chem Eng Sci 33 1978 1471-1480
30. E.M. Labolle G.E. Fogg A.F.B. Tompson Random-walk simulation of transport in heterogeneous porous media: Local mass-conservation problem and implementation methods Water Resour Res 32 3 1996 583-593
31. D.R. LeBlanc S.P. Garabedian K.M. Hess L.W. Gelhar R.D. Quadri K.G. Stollenwerk et al. Large-scale natural gradient tracer test in sand and gravel, Cape Cod, Massachusetts, 1. Experimental design and observed tracer movement Water Resour Res 27 5 1991 895-910
32. P.C. Lichtner S. Kelkar B. Robinson New form of dispersion tensor for axisymmetric porous media with implementation in particle tracking Water Resour Res 38 8 2002 21(5)-21(15)
33. D.M. Mackay D.L. Freyberg P.V. Roberts J.A. Cherry A natural gradient experiment on solute transport in a sand aquifer, 1. Approach and overview of plume movement Water Resour Res 22 13 1986 2017-2029
34. D.M. Mackay G. Bianchi-Mosquera A.A. Kopania H. Kianjah K.W. Thorbjarnarson A forced-gradient experiment and solute transport in the Borden aquifer, 1. Experimental methods and moment analysis of results Water Resour Res 30 2 1994 369-383
35. R.L. Naff On the nature of the dispersive flux in saturated heterogeneous porous media Water Resour Res 26 5 1990 1013-1026
36. R.L. Naff Arrival times and temporal moments of breakthrough curves for an imperfectly stratified aquifer Water Resour Res 28 1 1992 53-68
37. R.L. Naff D.F. Haley E.A. Sudicky High-resolution Monte Carlo simulation of flow and conservative transport in heterogeneous porous media. 2. Methodology and flow results Water Resour Res 34 4 1998 663-677
38. R.L. Naff D.F. Haley E.A. Sudicky High-resolution Monte Carlo simulation of flow and conservative transport in heterogeneous porous media. 2. Transport results Water Resour Res 34 4 1998 679-697
39. J.C. Parker M.Th. Van Genuchten Flux-averaged and volume-averaged concentrations in continuum approaches to solute transport Water Resour Res 20 7 1984 866-872
40. Pollock, D.W., 1989. Documentation of computer programs to compute and display pathlines using results from the US geological survey modular three-dimensional finite-difference ground-water flow model. Open File Rep. 89-381, US Geological Survey, Reston, VA
41. H. Rajaram L.W. Gelhar Plume scale-dependent dispersion in heterogeneous aquifers. 2. Eulerian analysis and three-dimensional aquifers Water Resour Res 29 9 1993 3261-3276
42. H. Rajaram Time and scale-dependent effective retardation factors in heterogeneous aquifers Adv Water Resour 20 4 1997 217-230
43. P.V. Roberts M.N. Goltz D.M. Mackay A natural gradient experiment on solute transport in a sand aquifer. 3. Retardation estimates and mass balance for organic solutes Water Resour Res 22 13 1986 2047-2057
44. M.J.L. Robin E.A. Sudicky R.W. Gillham R.G. Kachanoski Spatial variability of strontium distribution coefficients and their correlation with hydraulic conductivity in the Canadian forces base Borden aquifer Water Resour Res 27 10 1991 2619-2632
45. Y. Rubin G. Dagan Stochastic analysis of boundary effects on head spatial variability in heterogeneous aquifers, 1. Constant head boundary Water Resour Res 24 10 1988 1689-1697
46. Y. Rubin G. Dagan Stochastic analysis of boundary effects on head spatial variability in heterogeneous aquifers, 1. Impervious boundary Water Resour Res 25 4 1989 707-712
47. Sauty JP. Interpretation of tracer tests by means of type flow curves. Application to uniform and radial flow. In Proceedings, invitational well-testing symposium, Berkeley CA, 1977. p. 82-90
48. J.P. Sauty An analysis of hydrodispersive transfer in aquifers Water Resour Res 16 1 1980 145-158
49. A.M. Shapiro V.D. Cvetkovic Stochastic analysis of solute arrival time in heterogeneous porous media Water Resour Res 24 10 1988 1711-1718
50. G. Sposito D.A. Barry On the Dagan model of solute transport in groundwater: Fundamental aspects Water Resour Res 23 10 1987 1867-1875
51. W. Stum Chemistry of the solid-water interface 1992 Wiley Interscience 428 p
52. E.A. Sudicky A natural gradient experiment on solute transport in a sand aquifer: Spatial variability of hydraulic conductivity and its role in the dispersion process Water Resour Res 22 13 1986 2069-2082
53. G.I. Taylor Diffusion by continuous movements Proc London Math Soc 2 20 1921 196-211
54. A.F.B. Tompson R. Ababou L.W. Gelhar Implementation of the three-dimensional turning bands random field generator Water Resour Res 25 10 1989 2227-2244
55. Tompson A.F.B L.W. Gelhar Numerical simulation of solute transport in three-dimensional, randomly heterogeneous porous media Water Resour Res 26 10 1990 2541-2562
56. A.F.B. Tompson Numerical simulation of chemical migration in physically and chemically heterogeneous porous media Water Resour Res 29 11 1993 3709-3726
57. A. Valocchi Validity of the local equilibrium assumption for modeling sorbing solute transport through homogeneous soils Water Resour Res 21 6 1985 808-820
58. X.-H. Wen J.J. Gómez-Hernández The constant displacement scheme for tracking particles in heterogeneous aquifers Ground Water 34 1 1996 135-142
59. C. Welty L.W. Gelhar Evaluation of longitudinal dispersivity from nonuniform flow tracer tests J Hydrol 153 1994 71-102
60. Zhang D, Neuman SP, 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 1992;28(12): 3344-3344