Abstract
Stochastic methods may be applied to flow problems in porous media because they are well suited to cope with the variability of the physical properties in space.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Astié, H., M. Bourgeois, G. Turpin: Caractéristiques hydrauliques de la nappe des sables éocènes de Gironde: essais de représentation cartographiques des transmissivités, BRGM, Rapport Service Géologique Régional Aquitaine, 25 p., 1967.
Chavent, G., M. Dupuy, P. Lemonnier: History matching by use of optimal control theory, Soc. of Petroleum Eng J., 74–86 February 1975.
Delhomme, J.P.: Application de la théorie des variables régionalisées dans les Sciences de l’Eau, Thèse d’Ingénieur Docteur, Université Paris VI, 170 p., 1976.
Delhomme, J.P.: Kriging in the hydroscience. Advance in Water Resour. 1 (5), 251–266, 1978.
Delhomme, J.P.: Spatial variability and uncertainty in ground-water flow parameters: a geostatistical approach, Water Resour. Res., 15 (2), 269–280, 1979.
Freeze, R.A.: A stochastic-conceptual analysis of one dimensional ground-water flow in non uniform homogeneous media, Water Resour. Res., 11 (5), 725–741, 1975.
Emsellem, Y., G. de Marsily: An automatic solution for the inverse problem, Water Resour. Res., 7 (5), 1264–1283, 1971.
Journel, J.A.: Mining geostatistics, Academic Press, New York, 1979
Marsily, G. de: De l’identification des systèmes hydrogéologiques, Thèse d’Etat, Université Paris VI, 900 p., 1978.
Matheron, G.: Eléments pour une théorie des milieux poreux, Masson et Cie, Paris, 166 p., 1967.
Matheron, G.: The theory of regionalized variables, and its application, Cahier n° 5, Centre de Morphologie Mathématiques, Ecole des Mines, Fontainebleau, 250 p., 1971
Neuman, S.P., S. Yakowitz : A statistical approach to the inverse problem of aquifer hydrology, 1, Theory, Water Resour. Res., 15 (4) 845–860, 1979.
Neuman, S.P., 6.E. Fogg, E.A. Jacobson: A statistical approach to the inverse problem of aquifer hydrology, 2, Case study, Water Resour. Res., 16 (1), 33–58, 1980a.
Neuman, S.P.: A statistical approach to the Inverse Problem of Aquifer hydrology, 3. Improved Solution method and added Perspective, Water Resour. Res., 16 (2), 331–346, 1980b.
Neuman, S.P. : Statistical characterisation of aquifer heterogeneities. An overview, Recent trends in Hydrogeology, Geol. Soc. Amer. Spe. Pap., in press, 1982.
Schwydler, M.I..: Flow in heterogeneous media (in Russian). Izv. Akad. Nauk. SSSR, mekh i mas, n° 3, 185–190, 1962.
Smith, L., R.A. Freeze: Stochastic analysis of steady state ground-water flow in a bounded domain, 2: Two dimensional simulations, Water Resour. Res., 15 (6), 1543–1559, 1979.
Marsily, G. de, Lavedan, G., Boucher, M.. Fasanino, G.: Interpretation of interference tests in a well field using geostatistical techniques to fit the permeability distribution in a reservoir model. In: Geostatistics For Natural Ressources Characterization, Part 2, 831–849. G. Verly et al editors, Reidel. 1984.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1984 Martinus Nijhoff Publishers, Dordrecht
About this chapter
Cite this chapter
de Marsily, G. (1984). Spatial Variability of Properties in Porous Media: A Stochastic Approach. In: Bear, J., Corapcioglu, M.Y. (eds) Fundamentals of Transport Phenomena in Porous Media. NATO ASI Series, vol 82. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6175-3_15
Download citation
DOI: https://doi.org/10.1007/978-94-009-6175-3_15
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-009-6177-7
Online ISBN: 978-94-009-6175-3
eBook Packages: Springer Book Archive