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Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union

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doi:10.5194/npg-2014-85
© Author(s) 2016. This work is distributed
under the Creative Commons Attribution 3.0 License.
Research article
12 Jul 2016
Review status
A revision of this discussion paper for further review has not been submitted.
Comparison of box counting and correlation dimension methods in well logging data analysis associate with the texture of volcanic rocks
D. Mou1 and Z. W. Wang2 1School of Mathematics and Statistics, Beihua University, Jilin, China
2College of Geo-exploration Science and Technology, Jilin University, Changchun, China
Abstract. We have developed a fractal analysis method to estimate the dimension of well logging curves in Liaohe oil field, China. The box counting and correlation dimension are methods that can be applied to predict the texture of volcanic rocks with calculation the fractal dimension of well logging curves. The well logging curves are composed of gamma ray (GR), compensated neutron logs (CNL), acoustic (AC), density (DEN), Resistivity lateral log deep (RLLD), every curve contains a total of 6000 logging data. The dimension of well logging curves are calculated using box counting and correlation algorithms respectively. It is shown that two types of dimension of CNL, DEN and AC have the same average value. The box counting dimension of volcanic lava is lower than the pyroclastic rock obviously. The majority of correlation dimension of volcanic lava is lower than the pyroclastic rock, but a small amount of correlation dimension of volcanic lava is equal to the pyroclastic rock. It is demonstrated that the box counting dimension is more suitable for predicting the texture of volcanic rocks. Applications to logging data, A well show the relationship between the fractal dimension and the texture of volcanic rock in certain depth.

Citation: Mou, D. and Wang, Z. W.: Comparison of box counting and correlation dimension methods in well logging data analysis associate with the texture of volcanic rocks, Nonlin. Processes Geophys. Discuss., doi:10.5194/npg-2014-85, in review, 2016.
D. Mou and Z. W. Wang
Interactive discussionStatus: closed (peer review stopped)
AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment
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RC1: 'Review of "Comparison of box counting and correlation dimension methods in well logging data analysis associate with the texture of volcanic rocks"', Anonymous Referee #1, 23 Aug 2016 Printer-friendly Version 
 
RC2: 'Latest version', Anonymous Referee #2, 13 Sep 2016 Printer-friendly Version 
D. Mou and Z. W. Wang
D. Mou and Z. W. Wang

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