Abstract
Fundamentals of autorun analysis have been given to describe porous media geometry, including sedimantary rocks. The mathematical abstraction of porous media has been presented on the basis of random fields. Classical parameters of porous media, such as porosity and specific surface, have been expressed in terms of autorun function. Finally, a stochastic model has been proposed for the underlying generating mechanism of the porous medium. This model is capable of producing synthetic porous medium and, on the average, porosity as well as the specific surface. The first autorun coefficient is asymptotically equal to the porosity of the medium concerned. It also has been observed that the porosity together with the autorun function are sufficient to produce the specific surface value of the medium.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Carman, P. C., 1983, Determination of the specific surface of powders, I: Jour. Soc. Chem. Indus., v. 57, p. 225–234.
Chalkey, J. E., Cornfield, J., and Park, H., 1949, A method for estimating volume—surface ratios: Science, v. 110, p. 295.
Deffeyes, K. S., Ripley, B. D., and Watson, G. S., 1982, Stochastic geometry in petroleum geology: Jour. Math. Geology, v. 14, no. 5, p. 419–432.
Fara, H. D. and Scheidegger, A. E., 1961, Statistical geometry of porous media: Jour. Geophys. Res., v. 66, no. 10. p. 3279–3284.
Feller, W., 1967, An introduction to probability theory and its application: John Wiley, New York, N.Y., 166 p.
Jenkins, G. M. and Watts, D. G., 1968, Spectral analysis and its applications: Holden-Day, San Francisco, 525 p.
Kovacs, G., 1981, Subterranean hydrology: Water Resources Publications, Colorado, Lithocrafters Press, Chelsea, Michigan, p. 978.
Lindquist, E., 1933, On the flow of water through porous soil: First Congress of ICOLD, Stockholm.
Matheron, G., 1967, Elements pour une theorie des milieux poreux: Masson et Cie, Editeurs, Paris, 166 p.
Minoura, N. and Coley, C. D., 1971, Technique for implementing porous rock samples with low-viscosity epoxy resin: Jour. Sed. Pet., v. 41, no. 3, p. 858–861.
Mood, A. M., 1940, The distribution theory of runs: Ann. Math. Stat., v. 11, p. 427–432.
Preston, F. W. and Davis, J. C., 1976, Sedimentary porous materials as a realization of a stochastic process,in Daniel F. Merriam (Ed.), Random processes in geology: Springer-Verlag, Berlin, p. 63–86.
Rice, S. O., 1954, Mathematical analysis of random noisein N. Wax (Ed.), Selected papers on noise and stochastic processes: Dower, New York.
Roach, S. A., 1968, The theory of random clumping: Methuen and Co., Ltd., London, 94 p.
Scheidegger, A. E., 1953, Theoretical models of porous matter: Prod. Month., no. 10. 17 p.
Scheidegger, A. E., 1960, The physics of flow through porous media: Toronto, University of Toronto Press, 21 p.
Scheidegger, A. E. 1964, Statistical hydrodynamics in porous media: Jour. Appl. Phys., v. 25, p. 994–1001.
Sen, Z., 1977, Autorun analysis of hydrologic time series: Jour. Hydrol., v. 36, p. 75–85.
Sen, Z., 1980, Statistical analysis of critical hydrologic droughts: Jour. Hydraul. Div., ASCE, v. 106, no. HY1, Proc. Paper 15134, p. 99–115.
Watson, G. S., 1975, Texture analysis: Geol. Soc. Amer. Mem., v. 142, p. 367–391.
Author information
Authors and Affiliations
Additional information
On leave from the Technical University of Istanbul, Taksim, Turkey.
Rights and permissions
About this article
Cite this article
Sen, Z. Autorun analysis of sedimentary porous materials. Mathematical Geology 16, 449–463 (1984). https://doi.org/10.1007/BF01886326
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01886326