Solute transport in heterogeneous porous formations

Journal of Fluid Mechanics

Volumn 145, Issue 2, 1984, Pages 151-177

  Dagan, Gedeon ^a  

^a TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

FLUID MECHANICS; MATHEMATICAL TECHNIQUES; SOLUTIONS;

CONCENTRATION EXPECTATION; DISPERSION COEFFICIENTS; HYDRAULIC CONDUCTIVITY;

FLOW OF FLUIDS;

EID: 0021470157     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112084002858     Document Type: Article

References (20)

1. Beran, M. J. 1968 Statistical Continuum Theories. Interscience.
2. Buyevich, Yu. A., Leonov, A. J. & Safrai, V. M. 1969 Variations in filtration velocity due to random large-scale fluctuations of porosity. J. Fluid Mech. 37, 371–381.
3. Clifton, P. M. & Neuman, S. P. 1982 Effects of kriging and inverse modeling on conditional simulation of the Avra Valley aquifer in Southern Arizona. Water Resources Res. 18, 1215–1237.
4. Dagan, G. 1982a Stochastic modeling of groundwater flow by unconditional and conditional probabilities, 1. Conditional simulation and the direct problem. Water Resources Res. 18, 813–833.
5. Dagan, G. 1982b Stochastic modeling of groundwater flow by unconditional and conditional by probabilities, 2. The solute transport. Water Resources Res. 18, 835–848.
6. Delhomme, J. P. 1979 Spatial variability and uncertainty in groundwater flow parameters: a geostatistical approach. Water Resources Res. 15, 269–280.
7. Devary, J. L. & Doctor, P. G. 1982 Pore velocity uncertainties estimation. Water Resources Res. 18, 1157–1164.
8. Freeze, R. A. 1975 A stochastic-conceptual analysis of one-dimensional groundwater flow in nonuniform homogeneous media. Water Resources Res. 11, 725–741.
9. Fried, J. J. & Combarnous, M. A. 1971 Dispersion in porous media. Adv. Hydrosci. 7, 169–282.
10. Gelhar, L. J. & Axness, C. L. 1983 Three-dimensional stochastic analysis of macrodispersion in aquifers. Water Resources Res. 19, 161–180.
11. Gelhar, L. W., Gtjtjahr, A. L. & Naff, R. L. 1979 Stochastic analysis of macrodispersion in a stratified aquifer. Water Resources Res. 15, 1387–1397.
12. Journel, A. G. & Huijbregts, C. J. 1978 Mining Geostatistics. Academic Press.
13. Lallemand-Barres, P. & Peaudecerf, P. 1978 Recherche des relations entre la valeur de la dispersivité macroscopique d'un milieu aquifere, ses autres caracteristiques et les conditions de mesure. Etude bibliographique. Bull. BRGM., section III no. 4, 277–284.
14. Mathèron, G. & de Marsily, G. 1980 Is transport in porous media always diffusive? A counterexample. Water Resources Res. 16, 901–917.
15. Mood, A. M. F. & Graybill, F. A. 1963 Introdudionto the Theory of Statistics, 2nd edn. McGraw-Hill.
16. Phythian, R. 1975 Dispersion by random velocity fields. J. Fluid Mech. 67, 145–153.
17. Simmons, C. S. 1982 A stochastic-convective ensemble method for representing dispersive transport in groundwater. EPRI Palo-Alto, Calif., Tech. Rep. CS-2558 RP1406-1.
18. Smith, L. & Schwartz, F. W. 1980 Mass transport, 1. Stochastic analysis of macro-dispersion. Water Resources Res. 16, 303–313.
19. Sudicky, E. A., Cherry, J. A. & Frind, E. O. 1980 Hydrologic studies of a sandy aquifer at an abandoned land fill, Part 4. A natural gradient tracer test. Rep. under Contract OSU79-00195, Dept Earth Sci. Univ. Waterloo.
20. Taylor, G. I. 1921 Diffusion by continuous movements. Proc. Land. Math. Soc. () 20, 196–212.