Anisotropic transport rates in heterogeneous porous media

Water Resources Research

Volumn 46, Issue 2, 2010, Pages

  Engdahl, Nicholas B ^a,b   Weissmann, Gary S ^a  

^a UNIVERSITY OF NEW MEXICO   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ADVECTION-DISPERSION EQUATION; ANISOTROPIC TRANSPORT; AQUIFER CHARACTERIZATION; BOUNDING SURFACES; DIFFERENT LENGTH SCALE; FLOW AND TRANSPORT; GEO-STATISTICS; GEOSTATISTICAL; GROUNDWATER MODELS; HETEROGENEOUS POROUS MEDIA; HETEROGENEOUS SEDIMENTS; HIGH RESOLUTION; LENGTH SCALE; NON-FICKIAN; OBLIQUE ANGLES; SUBSURFACE TRANSPORT; TRANSPORT RATE;

ANISOTROPIC MEDIA; AQUIFERS; GROUNDWATER RESOURCES; HYDROGEOLOGY; POROUS MATERIALS; SEDIMENTOLOGY;

PARALLEL FLOW;

ANISOTROPY; AQUIFER CHARACTERIZATION; GEOSTATISTICS; HETEROGENEOUS MEDIUM; HYDRAULIC CONDUCTIVITY; POROUS MEDIUM; SUBSURFACE FLOW;

EID: 77249098330     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2009WR007910     Document Type: Article

References (66)

1. Adams, E. E., and L. W. Gelhar (1992), Field study of dispersion in a heterogeneous aquifer: 2. Spatial moment analysis, Water Resour. Res., 28, 3293-3307, doi:10.1029/92WR01757. (Pubitemid 23379496)
2. Allen, J. R. L. (1992), Principles of Physical Sedimentology, 272 pp., Blackburn, Caldwell, N. J.
3. Annan, A. P. (2005), GPR methods for hydrogeological studies, in Hydrogeophysics, edited by Y. Rubin and S. S. Hubbard, pp. 185-213, Springer, Dordrecht, Netherlands.
4. Bellin, A., P. Salandin, and A. Rinaldo (1992), Simulation of dispersion in heterogeneous porous formations: Statistics, first-order theories, convergence of computations, Water Resour. Res., 28(9), 2211-2227, doi:10.1029/92WR00578. (Pubitemid 23386283)
5. Benson, D. A., S. W. Wheatcraft, and M. M. Meerschaert (2000), Application of a fractional advection-dispersion equation, Water Resour. Res., 36(6), 1403-1412, doi:10.1029/2000WR900031. (Pubitemid 30334241)
6. Benson, D. A., S. W. Wheatcraft, and M. M. Meerschaert (2000), The fractional-order governing equation of Levy motion, Water Resour. Res., 36(6), 1413-1423, doi:10.1029/2000WR900032. (Pubitemid 30334242)
7. Berkowitz, B., and H. Scher (1998), Theory of anomalous chemical transport in random fracture networks, Phys. Rev. E, 57(5), 5858-5869.
8. Berkowitz, B., G. Kosakowski, G. Margolin, and H. Scher (2001), Application of continuous time random walk theory to tracer test measurements in fractured and heterogeneous porous media, Ground Water, 39(4), 593-604, doi:10.1111/j.1745-6584.2001.tb02347.x.
9. Boggs, J. M., S. C. Young, and L. M. Beard (1992), Field study of dispersion in a heterogeneous aquifer: 1. Overview and site description, Water Resour. Res., 28(12), 3281-3291, doi:10.1029/92WR01756. (Pubitemid 23379495)
10. Carle, S. F. (1999), T-PROGS: Transition Probability Geostatistical Software, Users Manual Version 2.1, 84 pp., Univ. of Calif., Davis.
11. Carle, S. F., and G. E. Fogg (1996), Transition probability-based indicator geostatistics, Math. Geol., 28(4), 453-476, doi:10.1007/BF02083656.
12. Cortis, A., and B. Berkowitz (2005), Computing anomalous contaminant transport in porous media: The CTRW toolbox, Ground Water, 43(6), 947-950.
13. Cortis, A., C. Gallo, H. Scher, and B. Berkowitz (2004), Numerical simulation of non-Fickian transport in geological formations with multiple-scale heterogeneities, Water Resour. Res., 40, W04209, doi:10.1029/ 2003WR002750.
14. Dai, Z., R. W. Ritzi, and D. F. Dominic (2004), Estimating parameters for hierarchical permeability correlation models, in Aquifer Characterization, edited by J. S. Bridge and D. W. Hyndman, Soc. Sediment. Geol. Spec. Publ., 80, 41-54.
15. Davis, S. N. (1969), Porosity and permeability of natural materials, in Flow Through Porous Materials, edited by R. J. M. DeWiest, pp. 54 - 89, Academic, San Diego, Calif.
16. Dentz, M., A. Cortis, H. Scher, and B. Berkowitz (2004), Time behavior of solute transport in heterogeneous media: Transition from anomalous to normal transport, Adv. Water Resour., 27, 155-173, doi:10.1016/ j.advwatres.2003.11. 002.
17. Deutsch, C. V. (2002), Reservoir Geostatistics, 376 pp., Oxford Univ. Press, New York.
18. Dominico, P. A., and F.W. Schwartz (1998), Physical and Chemical Hydrogeology, 2nd ed., 506 pp., John Wiley, New York.
19. Eggleston, J., and S. Rojstaczer (1998), Identification of large-scale hydraulic conductivity trends and the influence of trends on contaminant transport, Water Resour. Res., 34(9), 2155-2168, doi:10.1029/98WR01475. (Pubitemid 28407886)
20. Engdahl, N. B., G. S. Weissmann, and N. D. Bonal (2010a), An integrated approach for shallow aquifer characterization: Combining geophysics and geostatistics, Comput. Geosci., doi:10.1007/s10596-009-9145-y, in press.
21. Engdahl, N. B., E. T. Vogler, and G. S. Weissmann (2010b), Evaluation of aquifer heterogeneity effects on river flow loss using a transition probability framework, Water Resour. Res., doi:10.1029/2009WR007903, in press.
22. Feehley, C. E., C. Zheng, and F. J. Molz (2000), A dual-domain mass transfer approach for modeling solute transport in heterogeneous aquifers: Application to the Macrodispersion Experiment (MADE) site, Water Resour. Res., 36(9), 2501-2515.
23. Fitts, C. R. (2002), Groundwater Science, 450 pp., Academic, San Diego, Calif.
24. Fleckenstein, J. H., R. G. Niswonger, and G. E. Fogg (2006), River-aquifer interactions,geologic heterogeneity, and low-flow management, Ground Water, 44(4), 837-852.
25. Freyberg, D. L. (1986), 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), 2031-2046, doi:10.1029/ WR022i013p02031.
26. Gelhar, L. W., and C. L. Axness (1983), Three-dimensional stochastic analysis of macrodispersion in aquifers, Water Resour. Res., 19, 161-180, doi:10.1029/WR019i001p00161.
27. Haggerty, R., and S. M. Gorelick (1995), Multiple-rate mass transfer for modeling diffusion and surface reactions in media with pore-scale heterogeneity, Water Resour. Res., 31(10), 2383-2400.
28. Haggerty, R., S. W. Fleming, L. C. Meigs, and S. A. McKenna (2001), Tracer tests in a fractured dolomite: 2. Analysis of mass transfer in single-well injection withdrawal tests, Water Resour. Res., 37(5), 1129-1142, doi:10.1029/2000WR900334. (Pubitemid 32532639)
29. Harbaugh, A. W., E. R. Banta, M. C. Hill, and M. G. McDonald (2000), MODFLOW-2000, the U.S. Geological Survey modular ground-water model-User guide to modularization concepts and the ground-water flow process, U.S. Geol. Surv. Open File Rep., 00-92, 107 pp.
30. Hassan, A. E., J. H. Cushman, and J. W. Delleur (1997), Monte Carlo studies of flow and transport in fractal conductivity fields: Comparison with stochastic perturbation theory, Water Resour. Res., 33(11), 2519-2534, doi:10.1029/97WR02170.
31. Hassan, A. E., J. H. Cushman, and J. W. Delleur (1998), A Monte Carlo assessment of Eulerian flow and transport perturbation models, Water Resour. Res., 34(5), 1143-1163, doi:10.1029/98WR00011.
32. Hawley, J. W., and C. S. Haase (1992), Hydrogeologic framework of the northern Albuquerque Basin, U.S. Geol. Surv. Open File, 387.
33. Heinz, J., K. Kleineidam, G. Teutsch, and T. Aigner (2003), Heterogeneity patterns of quaternary glaciofluvial gravel bodies (SW Germany): Application to hydrogeology, Sediment. Geol., 158, 1 - 23, doi:10.1016/ S0037-0738(02)00239- 247
34. Huang, H., A. E. Hassan, and B. X. Hu (2003), Monte Carlo study of conservative transport in heterogeneous dual-porosity media, J. Hydrol., 275, 229-241, doi:10.1016/S0022-1694(03)00045-3. (Pubitemid 36521808)
35. Julian, H. E., J. M. Boggs, C. Zheng, and C. E. Feehley (2001), Numerical simulation of a natural gradient tracer experiment for the natural attenuation study: Flow and physical transport, Ground Water, 39(4), 534-545, doi:10.1111/j.1745-6584.2001.tb02342.x.
36. Jury, W. A., and K. Roth (1990), Transfer Functions and Solute Movement Through Soil: Theory and Application, 239 pp., Birkhfiuser, Basel, Switzerland.
37. Klingbeil, R., S. Kleineidam, U. Asprion, T. Aigner, and G. Teutsch (1999), Relating lithofacies to hydrofacies: Outcrop-based hydrogeological characterization of Quaternary gravel deposits, Sediment. Geol., 129, 299-310, doi:10.1016/S0037-0738(99)00067-6. (Pubitemid 30221486)
38. Kübert, M., and M. Finkel (2006), Contaminant mass discharge estimation in groundwater based on multi-elevation point measurements: A numerical evaluation of expected errors, J. Contam. Hydrol., 84, 55-80, doi:10.1016/j.jconhyd.2005.12.003. (Pubitemid 43210369)
39. LaBolle, E. M. (2006), RWHet: Random walk particle model for simulating transport in heterogeneous permeable media, user's manual and program documentation, Version 3.2, 27 pp., Univ. of Calif., Davis.
40. LaBolle, E. M., and G. E. Fogg (2001), Role of molecular diffusion in contaminant migration and recovery in an alluvial aquifer system, Transp. Porous Media, 42, 155-179, doi:10.1023/A:1006772716244. (Pubitemid 32270337)
41. Levy, M., and B. Berkowitz (2003), Measurement and analysis of non-Fickian dispersion in heterogeneous porous media, J. Contam. Hydrol., 64, 203-226, doi:10.1016/S0169-7722(02)00204-8. (Pubitemid 36694143)
42. Lunt, I. A., J. S. Bridge, and R. S. Tye (2004a), Development of a 3-D depositional model of braided river deposits, in Aquifer Characterization, edited by J. S. Bridge and D. W. Hyndman, Soc. Sediment. Geol. Spec. Publ., 80, 139-169.
43. Lunt, I. A., J. S. Bridge, and R. S. Tye (2004b), A quantitative, threedimensional depositional model of gravelly braided rivers, Sedimentology, 51, 377-414, doi:10.1111/j.1365-3091.2004.00627.x.
44. MacKay, D. M., D. L. Freybery, P. V. Roberts, and J. A. Cherry (1986), A natural gradient experiment on solute transport in a sand aquifer: 1. Approach and overview of plume movement, Water Resour. Res., 22(13), 2017-2029, doi:10.1029/WR022i013p02017.
45. MacKay, D. M., G. Bianchi-Mosquera, A. A. Kopania, H. h. Kianjah, and K. W. Thornjarnarson (1994), A forced-gradient experiment on solute transport in the Borden aquifer: 1. Experimental methods and moment analyses of results, Water Resour. Res., 30(2), 369-383, doi:10.1029/ 93WR02651.
46. Neal, A. (2004), Ground-penetrating radar and its use in sedimentology: Principles, problems and progress, Earth Sci. Rev., 66, 261-330, doi:10.1016/j.earscirev.2004.01.004. (Pubitemid 38964601)
47. Neuman, S. P. (1990), Universal scaling of hydraulic conductivities and dispersivities in geologic media, Water Resour. Res., 26(8), 1749-1758.
48. Oreskes, N. K., K. Shrader-Frechette, and K. Belitz (1994), Verification, validation, and confirmation of numerical models in earth sciences, Science, 263, 99-102, doi:10.1126/science.263.5147.641.
49. Proce, C. J., R. W. Ritzi, D. F. Dominic, and Z. Dai (2004), Modeling multiscale heterogeneity and aquifer interconnectivity, Ground Water, 42(5), 658-670, doi:10.1111/j.1745-6584.2004.tb02720.x.
50. Rea, J., and R. Knight (1998), Geostatistical analysis of ground-penetrating radar data: Ameans of describing spatial variation in the subsurface, Water Resour.Res., 34(3), 329-339.
51. Regli, C., P. Huggenberger, and M. Rauber (2002), Interpretation of drill core and georadar data of coarse gravel deposits, J. Hydrol., 255, 234-252, doi:10.1016/S0022-1694(01)00531-5. (Pubitemid 34009839)
52. Ritter, D. F., R. C. Kochel, and J. R. Miller (2002), Process Geomorphology, 4th ed., 560 pp., McGraw-Hill, New York.
53. Ritzi, R. W. (2000), Behavior of indicator variograms and transition probabilities in relation to the variance in lengths of hydrofacies, Water Resour. Res., 36(11), 3375-3381, doi:10.1029/2000WR900139.
54. Ritzi, R. W., Z. Dai, D. F. Dominic, and Y. N. Rubin (2004), Spatial correlation of permeability in cross-stratified sediment with hierarchical architecture, Water Resour. Res. , 40, W03513, doi:10.1029/ 2003WR002420.
55. Roth, V., and W. A. Jury (1993), Linear transport models for adsorbing solutes, Water Resour. Res., 29(4), 1195-1203, doi:10.1029/ 92WR02537.
56. Schulmeister, M. K., J. J. Butler, E. K. Franseen, D. A. Wysocki, and J. A. Dolittle (2004), High-resolution stratigraphic characterization of unconsolidated deposits using direct-push electrical conductivity logging: A floodplain-margin example, in Aquifer Characterization, edited by J. S. Bridge and D. W. Hyndman, Soc. Sediment. Geol. Spec. Publ., 80, 67-78.
57. Sudicky, E. A. (1986), A natural gradient experiment on solute transport in a sand aquifer: Spatial variability of hydraulic conductivity and its role in the dispersion processes, Water Resour. Res., 22(13), 2069-2082, doi:10.1029/WR022i013p02069.
58. Tartakovsky, A. M., and S. P. Neuman (2008), Effects of Peclet number on pore-scale mixing and channeling of a tracer and on directional advective porosity, Geophys. Res. Lett., 35, L21401, doi:10.1029/2008GL035895.
59. Tartakovsky, D. M., and S. P. Neuman (1998), Transient effective hydraulic conductivities under slowly and rapidly varying mean gradients in bounded three- dimensional random media, Water Resour. Res., 34(1), 21-32, doi:10.1029/97WR01965.
60. Tartakovsky, D. M., B. Wohlberg, and A. Guadagnini (2007), Nearestneighbor classification for facies delineation, Water Resour. Res., 43, W07201, doi:10.1029/2007WR005968. (Pubitemid 350194454)
61. Vandenberghe, J., and R. A. Van Overmeeren (1999), Ground penetrating radar images of selected fluvial deposits in the Netherlands, Sediment. Geol., 128, 245-270, doi:10.1016/S0037-0738(99)00072-X. (Pubitemid 30024980)
62. Weissmann, G. S., and G. E. Fogg (1999), Multi-scale alluvial fan heterogeneity modeled with transition probability geostatistics in a sequence stratigraphic framework, J. Hydrol., 226(1 - 2), 48 - 65, doi:10.1016/ S0022-1694(99)00160-162
63. Weissmann, G. S., S. F. Carle, and G. E. Fogg (1999), Three-dimensional hydrofacies modeling based on soil surveys and transition probability geostatistics, Water Resour. Res., 35(6), 1761-1770, doi:10.1029/1999WR900048 (Pubitemid 29243291)
64. Whittaker, J., and G. Teutsch (1999), Numerical simulations of subsurfacecharacterization methods: Application to a natural aquifer analog, Adv. Water Resour., 22(8), 819-829.
65. Zhang, Y., and D. A. Benson (2008), Lagrangian simulation of multidimensional anomalous transport at the MADE site, Geophys. Res. Lett., 35, L07403, doi:10.1029/2008GL033222. (Pubitemid 351858632)
66. Zheng, C., and S. M. Gorelick (2003), Analysis of solute transport in flow field influenced by preferential flowpaths at the decimeter scale, Ground Water, 41(2), 142-155.