Fractal and cumulative trace analysis of wire-line logs from a well in a naturally fractured limestone reservoir in the Gulf of Mexico

We found that the wire-line well logs measured in a naturally fractured limestone reservoir show fractal behavior, and that the fractal parameters are correlated with the petrophysical properties. Based on neutron porosity, bulk density, gamma ray, P-wave transit time, shallow and deep resistivity l...

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Main Authors: Esteban Cedillo-Pardo, Gerardo Ronquillo, Gabor Korvin, Klavdia Oleschko, Rubén Darío Arizabalo
Format: Article
Language:English
Published: Universidad Nacional Autónoma de México, Instituto de Geofísica 2004-11-01
Series:Geofísica Internacional
Subjects:
Online Access:http://www.geofisica.unam.mx/unid_apoyo/editorial/publicaciones/investigacion/geofisica_internacional/anteriores/2004/03/arizabalo.pdf
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author Esteban Cedillo-Pardo
Gerardo Ronquillo
Gabor Korvin
Klavdia Oleschko
Rubén Darío Arizabalo
author_facet Esteban Cedillo-Pardo
Gerardo Ronquillo
Gabor Korvin
Klavdia Oleschko
Rubén Darío Arizabalo
author_sort Esteban Cedillo-Pardo
collection DOAJ
description We found that the wire-line well logs measured in a naturally fractured limestone reservoir show fractal behavior, and that the fractal parameters are correlated with the petrophysical properties. Based on neutron porosity, bulk density, gamma ray, P-wave transit time, shallow and deep resistivity logs, five strata were distinguished corresponding to the Tithonian and Kimmeridgian Jurassic (JST, JSK); Upper, Middle and Lower Cretaceous (KS, KM, KI). Each of these strata has different fractal dimensions. Using the BENOIT software we obtained average fractal dimensions for the logs by modeling them as fractional Brownian motion (fBm). For the neutron porosity log D=1.70 (KS), D=1.66 (KM), D=1.75 (KI), D=1.84 (JST), D=1.67 (JSK). We conclude that the fractal geometry of the pore space controls the log fluctuations as well as the fractal dimensions of the logs in each geological unit. Cumulative trace analysis has provided further insight, including zonation of the five main units.
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spelling doaj.art-cf65406f01684e55a333a9a700abfa882023-08-02T06:42:44ZengUniversidad Nacional Autónoma de México, Instituto de GeofísicaGeofísica Internacional0016-71692004-11-01433467476Fractal and cumulative trace analysis of wire-line logs from a well in a naturally fractured limestone reservoir in the Gulf of MexicoEsteban Cedillo-PardoGerardo RonquilloGabor KorvinKlavdia OleschkoRubén Darío ArizabaloWe found that the wire-line well logs measured in a naturally fractured limestone reservoir show fractal behavior, and that the fractal parameters are correlated with the petrophysical properties. Based on neutron porosity, bulk density, gamma ray, P-wave transit time, shallow and deep resistivity logs, five strata were distinguished corresponding to the Tithonian and Kimmeridgian Jurassic (JST, JSK); Upper, Middle and Lower Cretaceous (KS, KM, KI). Each of these strata has different fractal dimensions. Using the BENOIT software we obtained average fractal dimensions for the logs by modeling them as fractional Brownian motion (fBm). For the neutron porosity log D=1.70 (KS), D=1.66 (KM), D=1.75 (KI), D=1.84 (JST), D=1.67 (JSK). We conclude that the fractal geometry of the pore space controls the log fluctuations as well as the fractal dimensions of the logs in each geological unit. Cumulative trace analysis has provided further insight, including zonation of the five main units.http://www.geofisica.unam.mx/unid_apoyo/editorial/publicaciones/investigacion/geofisica_internacional/anteriores/2004/03/arizabalo.pdfStatistical fractalswire-line logsnaturally fractured reservoirGulf of Mexico
spellingShingle Esteban Cedillo-Pardo
Gerardo Ronquillo
Gabor Korvin
Klavdia Oleschko
Rubén Darío Arizabalo
Fractal and cumulative trace analysis of wire-line logs from a well in a naturally fractured limestone reservoir in the Gulf of Mexico
Geofísica Internacional
Statistical fractals
wire-line logs
naturally fractured reservoir
Gulf of Mexico
title Fractal and cumulative trace analysis of wire-line logs from a well in a naturally fractured limestone reservoir in the Gulf of Mexico
title_full Fractal and cumulative trace analysis of wire-line logs from a well in a naturally fractured limestone reservoir in the Gulf of Mexico
title_fullStr Fractal and cumulative trace analysis of wire-line logs from a well in a naturally fractured limestone reservoir in the Gulf of Mexico
title_full_unstemmed Fractal and cumulative trace analysis of wire-line logs from a well in a naturally fractured limestone reservoir in the Gulf of Mexico
title_short Fractal and cumulative trace analysis of wire-line logs from a well in a naturally fractured limestone reservoir in the Gulf of Mexico
title_sort fractal and cumulative trace analysis of wire line logs from a well in a naturally fractured limestone reservoir in the gulf of mexico
topic Statistical fractals
wire-line logs
naturally fractured reservoir
Gulf of Mexico
url http://www.geofisica.unam.mx/unid_apoyo/editorial/publicaciones/investigacion/geofisica_internacional/anteriores/2004/03/arizabalo.pdf
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