An asymptotic analysis for determining concentration uncertainty in aquifer transport

Journal of Hydrology

Volumn 284, Issue 1-4, 2003, Pages 1-12

  Fiori, Aldo ^a  

^a ROMA TRE UNIVERSITY   (Italy)

Author keywords

Heterogeneity; Porous formations; Solute transport; Stochastic processes; Uncertainty analysis

Indexed keywords

ANISOTROPY; ASYMPTOTIC STABILITY; FUNCTIONS; HYDROLOGY; IMPURITIES; INTEGRAL EQUATIONS; POROSITY; RISK ASSESSMENT; STATISTICAL METHODS;

ADVECTION; PORE-SCALE DISPERSIONS;

AQUIFERS;

ADVECTION; AQUIFER; DISPERSION; HETEROGENEOUS MEDIUM; POROUS MEDIUM; SOLUTE TRANSPORT; TRACER;

ADVECTION; AQUIFER; DISPERSION; HETEROGENEITY; POROUS MEDIUM; SOLUTE TRANSPORT; TRACER; UNCERTAINTY ANALYSIS;

EID: 0346432439     PISSN: 00221694     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-1694(02)00416-X     Document Type: Article

References (15)

1. Andricevic, R., 1998. Effects of local dispersion and sampling volume on the evolution of concentration fluctuations in aquifers. Water Resour. Res. 24, 1115-1129.
2. Bellin, A., Salandin, P., Rinaldo, A., 1992. Simulation of dispersion in heterogeneous porous formations: statistics, first-order theories, convergence of computations. Water Resour. Res. 28, 2211-2228.
3. Dagan, G., 1982. Stochastic modeling of groundwater flow by unconditional and conditional probabilities 2. The solute transport. Water Resour. Res. 18, 835-848.
4. Dagan, G., 1989. Flow and Transport in Porous Formations, Springer, New York.
5. Fiori, A., 1996. Finite-Peclet extensions of Dagan's solution to transport in anisotropic heterogeneous formations. Water Resour. Res. 32, 193-198.
6. Fiori, A., Dagan, G., 1999. Concentration fluctuations in transport by groundwater: comparison between theory and field experiments. Water Resour. Res. 35, 105-112.
7. Fiori, A., Dagan, G., 2000. Concentration fluctuations in aquifer transport: a rigorous first-order solution and applications. J. Contam. Hydrol. 45, 139-163.
8. Fitts, C.R., 1996. Uncertainty in deterministic groundwater transport models due to the assumption of macrodispersive mixing: evidence from the Cape Cod (Massachusetts, USA) and Borden (Ontario, Canada) tracer tests. J. Contam. Hydrol. 23, 69-84.
9. Garabedian, S.P., LeBlanc, D.R., Gelhar, L.W., Celia, M.A., 1991. Large-scale natural gradient tracer test in sand and gravel, Cape Cod, Massachusetts, 2. Analysis of spatial moments for a nonreactive tracer. Water Resour. Res. 27, 911-924.
10. Gelhar, L.J., Axness, C.L., 1983. Three-dimensional stochastic analysis of macrodispersion in aquifers. Water Resour. Res. 19, 161-180.
11. Kapoor, V., Gelhar, L.W., 1994. Transport in three-dimensional heterogeneous aquifers. 2. Prediction and observations of concentration fluctuations. Water Resour. Res. 6, 1789-1801.
12. Kapoor, V., Kitanidis, P.K., 1998. Concentration fluctuations and dilution in aquifers. Water Resour. Res. 34, 1181-1193.
13. Naff, R.L., 1990. On the nature of the dispersive flux in saturated heterogeneous porous-media. Water Resour. Res. 26 (5), 1013-1026.
14. Pannone, M., Kitanidis, P.K., 1999. Large-time behavior of concentration variance and dilution in heterogeneous media. Water Resour. Res. 35, 623-634.
15. Tartakovsky, D., Guadagnini, A., 2002. Prior mapping for nonlinear flows in random environments. Phys. Rev. E 64, 5302(R)-5305(R).