The impact of local diffusion upon mass arrival of a passive solute in transport through three-dimensional highly heterogeneous aquifers

Advances in Water Resources

Volumn 34, Issue 12, 2011, Pages 1563-1573

  Fiori, A ^a   Jankovic, I ^b   Dagan, G ^c  

^a ROMA TRE UNIVERSITY   (Italy)

^b State University of New York   (United States)

^c TEL AVIV UNIVERSITY   (Israel)

Author keywords

Breakthrough curve; Heterogeneous media; Local diffusion; Porous media; Self consistent approximation; Solute transport

Indexed keywords

3-D PROBLEMS; ADVECTIVE TRANSPORT; ANALYTICAL APPROACH; BREAK THROUGH CURVE; COMPLEX FLOW; CONTROL PLANES; ERGODICS; FIRST-ORDER; FLOW CHARACTERISTIC; FLUID FLOWING; HETEROGENEOUS AQUIFERS; HETEROGENEOUS MEDIA; NATURAL FORMATIONS; PHYSICALLY BASED; RANDOM SPACE FUNCTIONS; SELF-CONSISTENT APPROXIMATION; SPATIAL VARIABILITY; SPHERICAL INCLUSION; VELOCITY FIELD;

AQUIFERS; DIFFUSION; FLOW OF FLUIDS; HYDROGEOLOGY; NORMAL DISTRIBUTION; POROUS MATERIALS; SOLUTE TRANSPORT; THREE DIMENSIONAL; VELOCITY;

PECLET NUMBER;

ANALYTICAL METHOD; AQUIFER; AUTOCORRELATION; DIFFUSION; FLOW MODELING; FLUID FLOW; HETEROGENEOUS MEDIUM; NUMERICAL MODEL; SOLUTE TRANSPORT; SPATIAL VARIATION;

EID: 80054757628     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2011.08.010     Document Type: Article

References (27)

1. Beaudoin A., de Dreuzy J.R., Erhel J. Numerical Monte Carlo analysis of the influence of pore-scale dispersion on macrodispersion in 2-D heterogeneous porous media. Water Resour Res 2010, 46:W12537. 10.1029/2010WR009576.
2. Bellin A., Salandin P., Rinaldo A. Simulation of dispersion in heterogeneous porous formations: statistics, first-order theories, convergence of computations. Water Resour Res 1992, 28:2211-2228.
3. Berglund S., Fiori A. Influence of transverse mixing on the breakthrough of sorbing solute in a heterogeneous aquifer. Water Resour Res 1997, 33:3.
4. Cvetkovic V., Dagan G. Transport of kinetically sorbing solute by steady random velocity in heterogeneous porous formations. J Fluid Mech 1994, 265:189-215.
5. Dagan G. Flow and transport in porous formations 1989, Springer, Heidelberg.
6. Dagan G., Fiori A., Jankovic I. Flow and transport in highly heterogeneous formations. 1: conceptual framework and validity of first-order approximations. Water Resour Res 2003, 39:9.
7. de Dreuzy J.R., Beaudoin A., Erhel J. Asymptotic dispersion in 2D heterogeneous porous media determined by parallel numerical simulations. Water Resour Res 2007, 43:W10439. 10.1029/2006WR005394.
8. Eames I., Bush J.W.M. Longitudinal dispersion by bodies fixed in a potential flow. Proc Royal Soc A 1999, 445:3665-3686.
9. Fiori A., Jankovic I., Dagan G. Flow and transport in highly heterogeneous formations. 2: semianalytical results for isotropic media. Water Resour Res 2003, 39(9). Art. No. 1268.
10. Fiori A., Jankovic I., Dagan G. Modeling flow and transport in highly heterogeneous three-dimensional aquifers: ergodicity, Gaussianity and anomalous behavior - 2. Approximate semianalytical solutions. Water Resour Res 2006, 42:Art.
11. Fiori A., Jankovic I., Dagan G., Cvetkovic V. Ergodic transport through aquifers of non-Gaussian log conductivity distribution and occurrence of anomalous behavior. Water Resour Res 2007, 43:W09407. 10.1029/2007WR005976.
12. Fiori A, Jankovic I. On preferential flow, channeling and connectivity in heterogeneous porous formations. Math Geosci, in press. doi:10.1007/S11004-011-9365-2. doi:10.1007/S11004-011-9365-2.
13. Firmani G., Fiori A., Bellin A. Three dimensional numerical analysis of steady state pumping tests in heterogeneous confined aquifers. Water Resour Res 2002, 42:W03422. 10.1029/2005WR004382.
14. lnK<5-10 is unlikely. AGU Eos Trans 2004, 85:47. Fall Meeting Supplement, Abstract H13H-01.
15. Gelhar L.W. Stochastic subsurface hydrology 1992, Prentice Hall.
16. Jankovic I., Fiori A., Dagan G. Effective conductivity of an isotropic heterogeneous medium of lognormal conductivity distribution. Multiscale Model Simul 2003, 1(1):40-56.
17. Jankovic I., Fiori A., Dagan G. Modeling flow and transport in highly heterogeneous three-dimensional aquifers: ergodicity, Gaussianity, and anomalous behavior-1. Conceptual issues and numerical simulations. Water Resour Res 2006, 42:W06D12. 10.1029/2005WR004734.
18. Jankovic I., Fiori A., Dagan G. The impact of local diffusion on longitudinal macrodispersivity and its major effect upon anomalous transport in highly heterogeneous aquifers. Adv Water Resour 2009, 10.1016/ J. J.ADVWATRES.2008.08.012.
19. Koch D.L., Brady J.F. Dispersion in fixed beds. J Fluid Mech 1985, 154(5):399-427.
20. LaBolle E.M., Fogg G.E. Role of molecular diffusion in contaminant migration and recovery in an alluvial aquifer system. Transp Porous Media 2001, 42(1-2):155-179.
21. Lessoff S., Schneidewind C., Leven C., Blum P., Dietrich P., Dagan G. Spatial characterization of the hydraulic conductivity using direct-push injection logging. Water Resour Res 2010, 46:W12502. 10.1029/2009WR008949.
22. Liu B.J.J., Butler G., Bohling G.C., Reboulet E., Knobbe S., Hyndman D.W. A new method for high-resolution characterization of hydraulic conductivity. Water Resour Res 2009, 45:WO8202. 10.1029/2009WR008319.
23. Rosen J.B. Kinetics of a fixed bed system for solid diffusion into spherical particles. J Chem Phys 1952, 20:387-394.
24. Rubin Y. Applied stochastic hydrology 2003, Oxford University Press.
25. Salandin P., Fiorotto V. Solute transport in highly heterogeneous aquifers. Water Resour Res 1998, 34:949-961.
26. Salandin P., Fiorotto V. Dispersion tensor evaluation in heterogeneous media for finite Peclet values. Water Resour Res 2000, 36:1449-1455.
27. Wen X.H., Gomez-Hernandez J.J. Numerical modeling of macrodispersion in heterogeneous media: a comparison of multi-Gaussian and non-multi-Gaussian models. J Cont Hydrol 1998, 30:129-156.