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Volumn 31, Issue 9, 1985, Pages 5990-5997

Grain consolidation and electrical conductivity in porous media

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Indexed keywords


EID: 33646984566     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.31.5990     Document Type: Article
Times cited : (255)

References (28)
  • 13
    • 84926579537 scopus 로고    scopus 로고
    • In Ref. 4, a two-dimensional resistor-capacitor network is employed to represent the interpenetrating pore and grain spaces. When random numbers are used to determine whether a given site will be occupied by a resistor or a capacitor, this model predicts that the dc conductivity vanishes at the conventional percolation threshold σ app σf(φ - φc )t. While the model described in Ref. 4 differs from those developed in Refs. 2, 3, and 5 in this repsect, it has in common with these models the fact that it relies on disorder to obtain a nontrivial power law.
  • 16
    • 84926564413 scopus 로고    scopus 로고
    • The sedimentation process by which many sandstones are formed tends to favor distributions of particles that are roughly equal in size (Ref. 12). In this regard, the present algorithm could be contrasted with one in which the porosity is reduced by adding additional spheres with smaller and smaller radii to progressibely fill the pore space of the original packing. To achieve a comparable porosity range by this method, one would have to employ spheres whose radii vary over several orders of magnitude, and the final configuration would bear little resemblance to most naturally occurring porous materials.
  • 26
    • 84926607959 scopus 로고    scopus 로고
    • With only three measurements, 0.032, 0.029, and 0.029, representing the percolation thresholds in the X, Y, and Z directions through a single finite sample, it is impossible to know the exact size of the statistical and systematic errors. The value given here seems to be a reasonable estimate, given the size of the sample and the consistency of the three measurements.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.