The impact of local diffusion on longitudinal macrodispersivity and its major effect upon anomalous transport in highly heterogeneous aquifers

Advances in Water Resources

Volumn 32, Issue 5, 2009, Pages 659-669

  Janković, Igor ^a   Fiori, Aldo ^b   Dagan, Gedeon ^c  

^a State University of New York   (United States)

^b ROMA TRE UNIVERSITY   (Italy)

^c TEL AVIV UNIVERSITY   (Israel)

Author keywords

Groundwater hydrology; Random media; Stochastic processes

Indexed keywords

ANOMALOUS BEHAVIORS; ANOMALOUS TRANSPORTS; CONTROL PLANES; DISCRETIZATION SCHEMES; ERGODIC; FLOW AND TRANSPORTS; GROUNDWATER HYDROLOGY; HETEROGENEOUS AQUIFERS; HETEROGENEOUS MEDIAS; HETEROGENEOUS MEDIUMS; MOLECULAR DIFFUSIONS; NUMERICAL SIMULATIONS; RANDOM MEDIA; RESIDENCE TIME; SEMI-ANALYTICAL SOLUTIONS; SPHERICAL INCLUSIONS; STOCHASTIC PROCESSES; UNIFORM MEAN FLOWS; UNIVARIATE; VERTICAL PLANES;

ADVECTION; AQUIFERS; DIFFUSION; GROUNDWATER RESOURCES; HYDROGEOLOGY; RANDOM PROCESSES; SPHERES; UNDERGROUND RESERVOIRS; WATER;

YTTRIUM ALLOYS;

AQUIFER; DIFFUSION; DISPERSION; FLOW MODELING; FLOW VELOCITY; NUMERICAL MODEL; STOCHASTICITY;

EID: 64849096163     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2008.08.012     Document Type: Article

References (24)

1. Cvetkovic V., and Shapiro A. Mass arrival of sorptive solute in heterogeneous porous media. Water Resour Res 26 (1990) 2057-2067
2. Dagan G., Fiori A., and Janković I. Flow and transport in highly heterogeneous formations, part 1. Conceptual framework and validity of first-order approximations. Water Resour Res 39 9 (2003) 1268
3. Dagan G., and Lessoff S.C. Solute transport in heterogeneous formations of bimodal conductivity distribution: 1. theory. Water Resour Res 37 3 (2001) 465-472
4. Dagan G., and Lessoff S.C. Solute transport in heterogeneous formations of bimodal conductivity distribution: 2. applications. Water Resour Res 37 3 (2001) 473-480
5. de Dreuzy J., Beaudoin A., and Erhel J. Asymptotic dispersion in 2d heterogeneous porous media determined by parallel numerical simulations. Water Resour Res 43 (2007) W10439 10.1029/2006WR005394
6. Eames I., and Bush J.W. Longitudinal dispersion by bodies fixed in a potential flow. Proc R Soc London A 455 (1999) 3665-3686
7. Fiori A. Finite Peclet extension of Dagan's solution to transport in anisotropic heterogeneous formations. Water Resour Res 32 (1996) 193-198
8. Fiori A., Dagan G., and Janković I. Flow and transport in highly heterogeneous formations, part 2. Semi-analytical results for isotropic media. Water Resour Res 39 9 (2003) 1269
9. Fiori A., Dagan G., and Janković I. Comment on "Asymptotic dispersion in 2D heterogeneous porous media determined by parallel numerical simulations" by J. R. de Dreuzy et al. Water Resour Res 44 (2008) W06603 10.1029/2007WR006699
10. Fiori A., Janković I., and Dagan G. Modeling flow and transport in highly heterogeneous three-dimensional aquifers: ergodicity, Gaussianity and anomalous behavior. Part 2: approximate semi-analytical solution. Water Resour Res 42 (2006) W06D12 10.1029/2005WR004752
11. Fiori A., Janković I., Dagan G., and Cvetković V. Ergodic transport through aquifers of non-Gaussian log-conductivity distribution and occurrence of anomalous behavior. Water Resour Res 43 (2007) W09407 10.1029/2007WR005976
12. Gelhar L.J., and Axness C.L. Three-dimensional stochastic analysis of macrodispersion in aquifers. Water Resour Res 19 (1983) 161-180
13. Guswa A.J., and Freyberg D.L. Slow advection and diffusion through low permeability inclusions. J Contam Hydrol 46 (2000) 205-232
14. Janković I., Fiori A., and Dagan G. Effective conductivity of an isotropic heterogeneous medium of lognormal conductivity distribution. Multiscale Modeling, Analysis, and Simulation (SIAM) 1 1 (2003) 40-56
15. Janković I., Fiori A., and Dagan G. Flow and transport in highly heterogeneous formations, part 3. Numerical simulations and comparison with theoretical results. Water Resour Res 39 9 (2003) 1270
16. Janković I., Fiori A., and Dagan G. Modeling flow and transport in highly heterogeneous three-dimensional aquifers: ergodicity, Gaussianity and anomalous behavior. Part 1: conceptual issues and numerical simulations. Water Resour Res 42 (2006) W06D12 10.1029/2005WR004734
17. Labolle E.M., and Fogg G. Role of molecular diffusion in contaminant migration and recovery in an alluvial aquifer system. Transp Porous Media 42 (2004) 155-179
18. Matheron G., and deMarsily G. Is transport in porous media always diffusive? A counterexample. Water Resour Res 16 (1980) 901-917
19. Naff R.L. On the nature of the dispersive flux in saturated heterogeneous porous-media. Water Resour Res 26 5 (1990) 1013-1026
20. Neuman S.P., Winter C.L., and Newman C.M. Stochastic theory of field-scale Fickian dispersion in anisotropic porous media. Water Resour Res 23 (1987) 453-466
21. Painter S. Flexible scaling model for use in random field simulation of hydraulic conductivity. Water Resour Res 37 5 (2001) 1155-1163
22. Rinaldo A., and Marani A. Basin scale model of solute transport. Water Resour Res 23 (1987) 2107-2118
23. Rubin Y. Applied stochastic hydrology (2003), Oxford University Press 391p
24. Zhang D. Stochastic methods for flow in porous media: coping with uncertainties (2002), Academic Press, San Diego Ca 350p