• G. E. COBALEDA Ecopetrol S.A. – Instituto Colombiano del Petróleo, A.A. 4185 Bucaramanga, Santander, Colombia
Keywords: autocorrelation, length of correlation, permeability, pore geometry


Ioannidis, et al., published a statistical methodology for analyzing of porous microstructure to estimate permeability in the Journal of Petroleum Science & Engineering. The method is based on the calculation of the autocorrelation function from binary images of porous space. This paper presents a systematic application of the methodology applied to twenty-three sandstone samples from a Colombian oil bearing formation. Images of porosity were acquired under different detection conditions in order to carry out a comparative evaluation of the results at different resolutions. It was found that the adjustment parameters for the autocorrelation function, as well as its derivative and integral, dependent strongly upon the conditions of image detection. Under conditions of maximum resolution, permeability was estimated within the same order of magnitude of the value measured experimentally, with an accuracy that varies from 1.6% to 24%.


Berryman, J.C., Blair, S.C., 1987. "Kozeny-Carman relationns and image processing methods for estimating Darcy's constant", J. Appl Phys, 62 (6) 2221 - 2228. https://doi.org/10.1063/1.339497

Coskun, S. B., Wardlaw, N. C., 1993. "Estimation of permeability from image analysis of reservoir sandstones" Jour. of Petrol. Scie. and Eng. 10. https://doi.org/10.1016/0920-4105(93)90046-H

Davies, D. K., Vessell, R. K. and Auman, J. B., 1999 "Improved Prediction of Reservoir Behavior Through Integration of Quantitative Geological and Petrophysical Data" SPE Reservoir Eval. & Eng. 2 (2) pg 149 - 160. https://doi.org/10.2118/55881-PA

Davies, D. K., 1990. "Image Analysis of Reservoir Pore Systems: State of the Art in Solving Problems Related to Reservoir Quality". SPE 19407, 73 - 82. https://doi.org/10.2523/19407-MS

Dewan, J. T., 1983. "Modern Open-Hole Log Interpretation". PennWell Books. Tulsa. Pp 230-235.

Ehrlich, R., Cobaleda, G. and Ferm, J. B., 1997. "Relationship between Petrographic Pore Types and Core Measurements in Sandstones of the Monserrate Formation, Upper Magdalena Valley, Colombia". Ciencia, Tecnologia y Futuro 1, 3, 5 -17.

Ehrlich, R., Crabtree, S. J., Horkowitz, K. O. and Horkowitz, J. P., 1991. "Petrography and reservoir Physics I: Objective Classification of Reservoir Porosity". AAPG Bull 75. 10. 1574 -1562. https://doi.org/10.1306/0C9B2989-1710-11D7-8645000102C1865D

Ehrlich, R., Kennedy, S. K., Cannon, R. L. and Crabtree, S. J., 1984. "Petrographic Image Analysis, I. Analysis of Reservoir Complexes" J. of Sed Pet. 54, 4: 1365-1378. https://doi.org/10.1306/212F85DF-2B24-11D7-8648000102C1865D

Gunter, G. W., Finneran, J. M., Hartmann, D. J. and Miller, J. D., 1997. "Early Determination of Reservoir Flow Units Using an Integrated Petrophysical Method" SPE 38679. https://doi.org/10.2118/38679-MS

Ioannidis, M. A., Kwiecien, M. J. and Chatzis, I. F., 1996. "Statistical analysis of porous microstructure as a method for estimating reservoir permeability" Jour. Pet Sci & Eng 16: 251- 261. https://doi.org/10.1016/S0920-4105(96)00044-7

Keehm, Y., Mukerji, T., Dvorkin, J., Prasad, M., Mavko, G. and Nur, A., 1999. "Permeability estimation by numerical flow simulation 3-d porous media extended from thin sections" Stanford Rock Physics Laboratory, Annual report.

Li-Ping, Y., 1990. "Pore Image Characterization and its Relationship to Permeability" SCA Conference paper number 90002.

Mavko, G., Nur, A., 1997. "The effect of a Percolation Threshold in the Kozeny - Carman relation". Geophysics 62 1480 - 1482. https://doi.org/10.1190/1.1444251

Nadeau, P. H., Hurst, A., 1991. "Application of Back-Scattered Electron Microscopy to the Quantification of Clay Mineral Microscopy in Sandstone" Jour. of Sed. Petrology. 61. 6. 921- 925. https://doi.org/10.1306/D4267807-2B26-11D7-8648000102C1865D

Nelson, P. H., 1995. "Permeability-Porosity Relationships in Sedimentary Rocks". U.S. Geological Survey, Denver Colorado.

Panda, M. N., Lake, L.W. , 1994. "Estimation of Single-Phase Permeability from Parameters of Particle size Distribution" AAPG Bulletin V 78. N° 7, p.1028-1039. https://doi.org/10.1306/A25FE423-171B-11D7-8645000102C1865D

Prince, C. M., 1999. "Textural and Diagenetic Controls on Sandstone Permeability". Submitted to GCAGS Annual Mtg Sept 1999, Lafayette, LA.

Prince, C. M., Ehrlich, R. and Anguy, Y., 1995. "Analysis of Spatial order in Sandstones II: Grain Clusters, Packing Flaws, and the Small-Scale Structure of Sandstones". Jour. of Sed. Research. A65. 1. 13-28. https://doi.org/10.1306/D426800E-2B26-11D7-8648000102C1865D

Shouxiang, M., Morrow, N. R., 1996. "Relationships Between Porosity and Permeability for Porous Rocks" SCA Conference paper Number 9610.

Swamsom, B. F., 1981. "A Simple Correlation Between permeabilities and Mercury Capillary Pressure". J. Pet Tech 2488 - 2504. https://doi.org/10.2118/8234-PA

Thomeer, J., 1960. "Introduction of a Pore Geometrical Factor Defined by the Capillary Pressure Curve". Shell Development Co.T.N. 2057. https://doi.org/10.2118/1324-G

How to Cite
COBALEDA, G. E. (2000). A STUDY OF IMAGE AUTOCORRELATION AS A METHOD TO CHARACTERIZE POROSITY AND ESTIMATE PERMEABILITY. CT&F - Ciencia, Tecnología Y Futuro, 2(1), 69-81. https://doi.org/10.29047/01225383.561


Download data is not yet available.
Scientific and Technological Research Articles
Crossref Cited-by logo