Effects of pore-scale dispersion, degree of heterogeneity, sampling size, and source volume on the concentration moments of conservative solutes in heterogeneous formations

Advances in Water Resources

Volumn 31, Issue 2, 2008, Pages 339-354

  Tonina, Daniele ^a   Bellin, Alberto ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF TRENTO   (Italy)

Author keywords

Concentration moments; Groundwater; Solute transport; Stochastic methods

Indexed keywords

AQUIFERS; COMPUTER SIMULATION; DISPERSIONS; MATHEMATICAL MODELS; RANDOM PROCESSES; SOLUTE TRANSPORT;

COEFFICIENT OF VARIATIONS (CV); FIRST ORDER SOLUTIONS; PORE-SCALE DISPERSION (PSD);

GROUNDWATER GEOCHEMISTRY;

AQUIFERS; COMPUTER SIMULATION; DISPERSIONS; GROUNDWATER GEOCHEMISTRY; MATHEMATICAL MODELS; RANDOM PROCESSES; SOLUTE TRANSPORT;

ANALYTICAL METHOD; CONCENTRATION (COMPOSITION); DISPERSION; GROUNDWATER; NUMERICAL MODEL; PLUME; SAMPLING; SOLUTE TRANSPORT;

EID: 37049037335     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2007.08.009     Document Type: Article

References (20)

1. Andričević R. Effects of local dispersion and sampling volume on the evolution of concentration fluctuations in aquifers. Water Resour Res 34 5 (1998) 1115-1129
2. Batchelor G.K. An Introduction to fluid dynamics (1967), Cambridge University Press, Cambridge
3. Bear J. Dynamics of fluids in porous media (1972), Elsevier Science, New York
4. Bellin A., Rubin Y., and Rinaldo A. Eulerian-Lagrangian approach for modeling of flow and transport in heterogeneous geological formations. Water Resour Res 30 11 (1994) 2913-2924
5. Bellin A., Salandin P., and Rinaldo A. Simulation of dispersion in heterogeneous porous formations: Statistics, first-order theories, convergence of computations. Water Resour Res 28 9 (1992) 2211-2227
6. Caroni E., and Fiorotto V. Analysis of concentration as sampled in natural aquifers. Transp Porous Media 59 (2005) 19-45
7. Dagan G. Flow and transport in porous formations (1989), Springer-Verlag, New York
8. Dagan G., and Fiori A. The influence of pore-scale dispersion on concentration statistical moments in transport through heterogeneous aquifers. Water Resour Res 33 7 (1997) 1595-1605
9. Fernàndez-Garcia D., Illangasekare T.H., and Rajaram H. Differences in the scale dependence of dispersivity and retardation factors estimated from forced-gradient and uniform flow tracer tests in a three-dimensional physically and chemically heterogeneous porous media. Water Resour Res 41 W03012 (2005)
10. Fiori A. Finite-Peclet extensions of Dagan's solutions to transport in anisotropic heterogeneous formations. Water Resour Res 32 1 (1996) 193-198
11. Fiori A. The relative dispersion and mixing of passive solutes in transport in geologic media. Transport in Porous Media 42 (2000) 69-83
12. Fiori A., and Dagan G. Concentration fluctuations in aquifer transport: A rigorous first-order solution and applications. J Contam Hydrol 45 1-2 (2000) 139-163
13. Fitts C.R. Uncertainty in deterministic groundwater transport models due to the assumption of macrodispersive mixing: evidence from Cape Cod (MA, USA) and Borden (Ontario, Canada) tracer tests. J Contam Hydrol 23 (1996) 69-84
14. Gelhar L.W. Stochastic subsurface hydrology (1993), Prentice Hall, Englewood Cliffs, NJ
15. Putti M., and Cordes C. Finite element approximation of the diffusion operator on tetrahedra. SIAM J Sci Stat Comp 19 (1998) 1154-1168
16. Rubin Y. Applied Stochastic Hydrogeology (2003), Oxford University Press, New York
17. Rubin Y., Sun A., Maxwell R., and Bellin A. The concept of block-effective macrodispersivity and a unified approach for grid-scale- and plume-scale-dependent transport. J Fluid Mech 395 (1999) 161-180
18. Tompson A.F.B., and Gelhar L.W. Numerical simulation of solute transport in three-dimensional, randomly heterogeneous porous media. Water Resour Res 26 10 (1990) 2451-2562
19. Vanderborght J. Concentration variance and spatial covariance in second-order stationary heterogeneous conductivity fields. Water Resour Res 37 7 (2001) 1893-1912
20. Zhang D., and Neuman S.P. Effect of local dispersion on solute transport in randomly heterogeneous media. Water Resour Res 32 9 (1996) 2715-2723