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Entropy 2013, 15(6), 2384-2397; doi:10.3390/e15062384

Entropy of Shortest Distance (ESD) as Pore Detector and Pore-Shape Classifier

3,*  and 4
1 Earth Sciences Department and Reservoir Characterization Research Group, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia 2 Russian-French Metallogenic Laboratory, 11-11 Mokhovaya Street, Moscow, 125009 Russia 3 Centro de Geociencias, Universidad Nacional Autónoma de, México (UNAM), Km. 15.5, Carretera Querétaro-San Luis Potosí, C.P. Juriquilla 76230, Querétaro, Mexico 4 Vernadsky State Geological Museum of Russian Academy of Sciences, 11-11 Mokhovaya Str., Moscow, 125009 Russia
* Author to whom correspondence should be addressed.
Received: 25 March 2013 / Revised: 7 May 2013 / Accepted: 15 May 2013 / Published: 10 June 2013
(This article belongs to the Special Issue Applications of Information Theory in the Geosciences)
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The entropy of shortest distance (ESD) between geographic elements (“elliptical intrusions”, “lineaments”, “points”) on a map, or between "vugs", "fractures" and "pores" in the macro- or microscopic images of triple porosity naturally fractured vuggy carbonates provides a powerful new tool for the digital processing, analysis, classification and space/time distribution prognostic of mineral resources as well as the void space in carbonates, and in other rocks. The procedure is applicable at all scales, from outcrop photos, FMI, UBI, USI (geophysical imaging techniques) to micrographs, as we shall illustrate through some examples. Out of the possible applications of the ESD concept, we discuss in details the sliding window entropy filtering for nonlinear pore boundary enhancement, and propose this procedure as unbiased thresholding technique.
Keywords: pores entropy; sliding window entropy; nonlinear pore boundary enhancement pores entropy; sliding window entropy; nonlinear pore boundary enhancement
This is an open access article distributed under the Creative Commons Attribution License (CC BY) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Korvin, G.; Sterligov, B.; Oleschko, K.; Cherkasov, S. Entropy of Shortest Distance (ESD) as Pore Detector and Pore-Shape Classifier. Entropy 2013, 15, 2384-2397.

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