Monte Carlo simulation and effective conductivity in confined radial flow fields

IAHS-AISH Publication

Volumn 237, Issue , 1996, Pages 463-471

  Franzetti, Silvio ^a   Guadagnini, Alberto ^a   Orsi, Enrico ^a  

^a POLITECNICO DI MILANO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; HYDRAULIC CONDUCTIVITY; MONTE CARLO METHODS; POROUS MATERIALS;

CONFINED RADIAL FLOW FIELDS; LOG CONDUCTIVITY DOMAINS;

CONFINED FLOW;

EID: 3342889034     PISSN: 01447815     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (17)

1. Dagan, G. (1982) Stochastic modeling of groundwater flow by unconditional and conditional probabilities. 1. Conditional simulation and the direct problem. Wat. Resour. Res. 18(4), 813-833.
2. Dagan, G. (1989) Flow and Transport in Porous Formations. Springer-Verlag, New York.
3. De Marsily, G. (1986) Quantitative Hydrogeology. Academic Press, New York.
4. Desbarats, A. J. (1992) Spatial averaging of transmissivity in heterogeneous fields with flow toward a well. Wat. Resour. Res. 28(3), 757-767.
5. Franzetti, S. & Guadagnini, A. (1996) Probabilistic estimation of well catchments in heterogeneous aquifers. J. Hydrol. 174(1-2), 149-171.
6. Gelhar, L. W. (1993) Stochastic Subsurface Hydrology. Prentice Hall, New Jersey.
7. Gòmez-Hernàndez, J. J. & Gorelick, S. M. (1989) Effective groundwater model parameter values: influence of spatial variability of hydraulic conductivity, leakage and recharge. Wat. Resour. Res. 25(3), 405-409.
8. Guadagnini, A., Franzetti, S. & Ballio, F. (1995) A model for probabilistic estimation of steady-state catchments of pumping wells in heterogenous aquifers. In: The Hydraulics of Water Resources and Their Development (ed. by J. Gardiner) (Proc. XXVIth IAHR Congress HYDRA 2000), vol. 4, 155-160. Thomas Telford Services Ltd, London.
9. Indelman, P. & Abramovich, B. (1994) Nonlocal properties of nonuniform averaged flows in heterogeneous media. Wat. Resour. Res. 30(12), 3385-3393.
10. King, P. R. (1989) The use of renormalization for calculating effective permeability. Transport in Porous Media 4, 37-58.
11. Matheron, G. (1967) Composition des perméabilitiés en milieu poreux hétérogène: méthode de Schwydler et règles de pondération (Permeability composition in heterogeneous media: method of Schwydler and averaging rules). Rev. Inst. Fr. Pét. 22(3), 443-467.
12. Naff, R. L. (1991) Radial flow in heterogeneous porous media: an analysis of specific discharge. Wat. Resour. Res. 27(3), 307-316.
13. Neuman, S. P. (1982) Statistical characterization of aquifer heterogeneities: an overview. In: Recent Trends in Hydrogeology, 81-102. Spec. Pap. Geol. Soc Am. no. 189.
14. Neuman, S. P. & Orr, S. (1993) Prediction of steady-state flow in nonuniform geologic media by conditional moments: Exact nonlocal formalism, effective conductivities and weak approximation. Wat. Resour. Res. 29(2), 341-364.
15. Press, W., Flannery, B., Teukolsky, S. & Vetterling, W. (1992) Numerical Recipes: The Art of Scientific Computing (second edn). Cambridge University Press, New York.
16. Robin, M. J. L., Gutjahr, A. L., Sudicky, E. A. & Wilson, J. L. (1993) Cross-correlated random field generation with the direct Fourier transform method. Wat. Resour. Res. 29(7), 2385-2397.
17. Vanmarcke, E. (1983) Random Fields: Analysis and Synthesis. MIT Press, Cambridge, Massachusetts.