Macroscopic electrical conductivity for microstructures of sandstones

Mikhail Epov, Olga Soboleva, Ekaterina Kurochkina

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Abstract

A quantitative analysis of digital samples of a sandstone core is presented. We compare an exact calculation of the effective electrical conductivity that solves directly the disordered Laplace equation with the result obtained with the help of theoretical Landau-Lifshitz-Matheron type formulas for log-stable probability distributions. To apply these formulas we take measurements of conductivity in cubic subsamples K of sidelength l<L, L is sidelength of digital total sample. Based on these measurements we obtain the effective coefficients for the whole sample. The prediction of effective conductivity by Landau-Lifshitz--Matheron type formula is good quantitative agreement with the exact results.

Original languageEnglish
Title of host publicationEducation and Accreditation in Geosciences; Environmental Legislation, Multilateral Relations and Funding Opportunities
PublisherInternational Multidisciplinary Scientific Geoconference
Pages969-975
Number of pages7
Edition1.2
ISBN (Electronic)9786197408768, 9786197408775, 9786197408782, 9786197408799, 9786197408805, 9786197408812, 9786197408829, 9786197408836, 9786197408843, 9786197408850, 9786197408867, 9786197408874, 9786197408881, 9786197408898
DOIs
Publication statusPublished - 1 Jan 2019
Event19th International Multidisciplinary Scientific Geoconference, SGEM 2019 - Albena, Bulgaria
Duration: 30 Jun 20196 Jul 2019

Publication series

NameInternational Multidisciplinary Scientific GeoConference Surveying Geology and Mining Ecology Management, SGEM
Number1.2
Volume19
ISSN (Print)1314-2704

Conference

Conference19th International Multidisciplinary Scientific Geoconference, SGEM 2019
CountryBulgaria
CityAlbena
Period30.06.201906.07.2019

Keywords

  • Digitized pore space images
  • Effective conductivity
  • Log-stable probability distributions

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