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

Abstract

Abstract: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.

Permeability from Microscopy: Review of a Dream

“…and from Eqs. (20,21) one has S spec = (1 − Φ)S 0 as stated. Now, take a bulk volume V b of rock in such a way that its pore space occupies a unit total volume, that is Note The simple relations (Eq.…”

“…There are some recent developments since the Review 103 [16], such as [21] where a sliding window entropy filtering 104 is used for nonlinear pore boundary enhancement following 105 binary thresholding. defined as 116 m p,q = A x p y q F(x, y)dxdy (4) Special cases of Eq.…”

“…Here m , v , f , with m + v + f = 1 (66) are the three kind of porosities. By the De Lesse principle [32,52], the three porosities m ,Φ v ,Φ f can be estimated from microscopy if we have some tools of image processing distinguishing between these different objects (such as the eccentricity or aspect ratio of the pore shape, some other ideas are pursued in our recent study [21]). If the three compressibilities are known, then ω m ,ω v ,ω f can be computed from Φ m ,Φ v ,Φ f and C m , C v , C f .…”

Geologists of Russian origin in Latin America

“…Dr. Klaudia Oleshko works in the Center for Geosciences, Universidad Nacional Autonoma de Mexico (UNAM) as a geophysicist, studying rock porosity, the possibilities of Petroleum Reservoirs as a fractal reactor, the Fractals Porosity in EDP for hydraulics and Petroleum, analyzing soil variability in space and time -P-adic model of transport in porous disordered media. She is very active in her social scientific life as reviewer of the Vadose Zone Journal, Project Leader of "Entropy of Shortest Distance (ESD) as Pore Detector and Pore-Shape Classifier" (Korvin et al, 2013), Convenor of the 18th World Congress of Soil Science, July 9-15, 2006 -Philadelphia, Pennsylvania, USA; Chairperson of a section of the General Assembly (2014) of the European Geosciences Union: Analyzing soil variability in space, time, land; Fractals for Geoengineering. Author of "Linear fractal analysis of three Mexican soil in different management systems" (Oleshko et al, 2016), and so on.…”

Modeling Fluid’s Dynamics with Master Equations in Ultrametric Spaces Representing the Treelike Structure of Capillary Networks

“…Note that our model is discrete in both space and time. The original entropy map was constructed in Sterligov's geostatistical approach [80] in order to visualize the pressure curves variability (thirty wells were compared) in space and time.…”