Lagrangian simulation of multidimensional anomalous transport at the MADE site

Geophysical Research Letters

Volumn 35, Issue 7, 2008, Pages

  Zhang, Yong ^a   Benson, David A ^b  

^a DESERT RESEARCH INSTITUTE   (United States)

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

Author keywords

[No Author keywords available]

Indexed keywords

ADVECTION; FLOW SIMULATION; LAGRANGE MULTIPLIERS; NUMERICAL METHODS; TRITIUM;

ADVECTION-DISPERSION EQUATION (ADE); AMERICAN GEOPHYSICAL UNION; ANOMALOUS TRANSPORT; CONTAMINANT TRANSPORT; GEOLOGICAL FORMATIONS; IMMOBILE DOMAINS; LAGRANGIAN; LAGRANGIAN SIMULATION; MULTIDIMENSIONAL (MD); NON LOCAL; NON-MARKOVIAN; PREFERENTIAL FLOWS; RANDOM WALK METHOD; SIMPLE MODELING; SIMULATION APPROACH; SUBSURFACE PROPERTIES; TEST SITES; TRANSPORT SPEED; VARIABLE COEFFICIENTS;

MATHEMATICAL MODELS;

COMPUTER SIMULATION; FLOW MODELING; LAGRANGIAN ANALYSIS; POLLUTANT TRANSPORT; RANDOM WALK METHOD; SPATIOTEMPORAL ANALYSIS;

PRUNUS DOMESTICA;

EID: 45549085439     PISSN: 00948276     EISSN: None     Source Type: Journal    
DOI: 10.1029/2008GL033222     Document Type: Article

References (19)

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(12), 3293-3307.
2. Benson, D. A., R. Schumer, M. M. Meerschaert, and S. W. Wheatcraft (2001), Fractional dispersion, Lévy motion, and the MADE tracer tests, Transp. Porous Media, 42, 211-240.
3. Berkowitz, B., A. Cortis, M. Dentz, and H. Scher (2006), Modeling non-Fickian transport in geological formations as a continuous time random walk, Rev. Geophys., 44, RG2003, doi:10.1029/2005RG0O00178.
4. Cushman, J. H. (1990), An introduction to hierarchical porous media, in Dynamics of Fluids in Hierarchical Porous Media, edited by J. H. Cushman, pp. 1-6, Academic, London.
5. Cushman, J. H., and T. R. Ginn (2000), Fractional advection-dispersion equation: A classical mass balance with convolution-Fickian flux, Water Resour. Res., 36(12), 3763-3766.
6. Cushman, J. H., and M. Moroni (2001), Statistical mechanics with three-dimensional particle tracking velocimetry experiments in the study of anomalous dispersion. I. Theory, Phys. Fluids, 13(1), 75-80.
7. Cushman, J. H., B. X. Hu, and T. R. Ginn (1994), Nonequilibrium statistical mechanics of preasymptotic dispersion, J. Stat. Phys., 75(5-6), 859-878.
8. Fogg, G. E., S. F. Carle, and C. Green (2000), A connected-network paradigm for the alluvial aquifer system, in Theory, Modeling and Field Investigation in Hydrology: A Special Volume in Honor of Schlomo P. Neuman's 60th Birthday, edited by D. Zhang, Geol. Soc. Am. Spec. Publ., 348, 25-42.
9. Haggerty, R., S. A. McKenna, and, L. C. Meigs (2000), On the late-time behavior of tracer test breakthrough curves, Water Resour. Res., 36(12), 3467-3479.
10. Lu, S., F. J. Molz, and G. J. Fix (2002), Possible problems of scale dependency in applications of the three-dimensional fractional advection-dispersion equation to natural porous media, Water Resour Res., 38(9), 1165, doi:10.1029/2001WR000624.
11. Meerschaert, M. M., and H. P. Scheffler (2004), Limit theorems for continuous-time random walks with infinite mean waiting times, J. Appl. Probab., 41, 623-638.
12. Meerschaert, M. M., D. A. Benson, and B. Baeumer (2001), Operator Lévy motion and multiscaling anomalous diffusion, Phys. Rev. E, 63, 021112.
13. Molz, F. J., C. Zheng, S. M. Gorelick, and C. F. Harvey (2006), Comment on "Investigating the Macrodispersion Experiment (MADE) site in Columbus, Mississippi, using a three-dimensional inverse flow and transport model" by Heidi Christiansen Barlebo, Mary C. Hill, and Dan Rosbjerg, Water Resour. Res., 42, W06603, doi:10.1029 /2005WR004265.
14. Neuman, S. P. (1993), Eulerian-Lagrangian theory of transport in space-time nonstationary velocity fields: Exact nonlocal formalism by conditional moments and weak approximation, Water Resour Res., 29(3), 633-645.
15. Rehfeldt, K. R., J. M. Boggs, and L. W. Gelhar (1992), Field study of dispersion in a heterogeneous aquifer: 3. Geostatistical analysis of hydraulic conductivity, Water Resour Res., 28(12), 3309-3324.
16. Schumer, R., D. A. Benson, M. M. Meerschaert, and B. Baeumer (2003), Fractal mobile/immobile solute transport, Water Resour Res., 39(10), 1296, doi:10.1029/2003WR002141.
17. Zhang, Y., D. A. Benson, M. M. Meerschaert, E. M. LaBolle, and H. P. Scheffer (2006), Random walk approximation of fractional-order multi-scaling anomalous diffusion, Phys. Rev. E, 74, 026706.
18. Zhang, Y., D. A. Benson, and B. Baeumer (2007), Predicting the tails of breakthrough curves in regional-scale alluvial systems, Ground Water, 45(4), 473-484.
19. Zheng, C., and S. M. Gorelick (2003), Analysis of the effect of decimeter-scale preferential flow paths on solute transport, Ground Water, 41(2), 142-155.