Summary
We use multifractal analysis as a geostatistical tool for characterization of microresistivity signals produced by dipmeter well-logging tools. The signal is divided into windows of fixed length. For each window, several texture indices characterizing the irregularity of the microresistivity signal are calculated. Plotted as a function of depths, these texture indices form what we call texture logs. We show that these texture logs can be used to distinguish geological lithofacies differing in their degree of heterogeneity.
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.
References
Schlumberger (1986): Formation MicroScanner Service. Publ. no. M89100.
Schlumberger (1983): Strategraphic High Resolution Dipmeter Tools. Publ. no. M86300.
Schlumberger (1974): Log Interpretation, vol. II - Applications. N.Y.
Hewett, T.A. (1986): Fractal distributions of reservoir heterogeneity and their influence on fluid transport. SPE 15385, 61st Annual Technical Conference, New Orleans.
Muller, J., Bokn, I., McCauley, J.L. (1992): Ann. Geophysicae 10, 735.
Halsey, T.C., Jensen, M.H., Kadanoff, L.P., Procaccia, I., Shraiman, B.I. (1986). Physical Review A, 33, 1141.
Saucier, A., Huseby, O.K., Muller, J. (1995): Quantification and modelling of reservoir heterogeneities based on multifractal scaling. Technical report IFE/KR/F-95/047, Institutt for energiteknikk, Norway.
Press, H. W., Flannery, B.P., Teukolsky, S.A., Vetterling, W.T. (1986): Numerical Recipes, the Art of Scientific Computing, pp. 495, Cambridge University Press, New York.
Evertsz, C.J.G., Mandelbrot, B.B. (1992): Multifractal measures, appendix B. In Chaos and Fractals, edited by H.O. Peitgen, H. Jürgens and D. Saupe, Springer-Verlag, New York.
Schertzer, D., Lovejoy, S. (1987). J. Geophys. Res. D 92, 9693.
Jaffard, S.: Multifractal formalism for functions. To appear in SIAM Journal of Math. An.
Lévy Véhel, J. (1995): Fractal Approaches in Signal Processing. Fractals 3, 755.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1997 Springer-Verlag London Limited
About this paper
Cite this paper
Saucier, A., Huseby, O.K., Muller, J. (1997). Multifractal Analysis of Dipmeter Well Logs for Description of Geological Lithofacies. In: Lévy Véhel, J., Lutton, E., Tricot, C. (eds) Fractals in Engineering. Springer, London. https://doi.org/10.1007/978-1-4471-0995-2_4
Download citation
DOI: https://doi.org/10.1007/978-1-4471-0995-2_4
Publisher Name: Springer, London
Print ISBN: 978-1-4471-1253-2
Online ISBN: 978-1-4471-0995-2
eBook Packages: Springer Book Archive