Random network model of electrical conduction in two-phase rock

Kiyoshi Fuji-ta, Masayuki Seki, Masahiro Ichiki

Research output: Contribution to journalArticlepeer-review


We developed a cell-type lattice model to clarify the interconnected conductivity mechanism of two-phase rock. We quantified electrical conduction networks in rock and evaluated electrical conductivity models of the two-phase interaction. Considering the existence ratio of conductive and resistive cells in the model, we generated natural matrix cells simulating a natural mineral distribution pattern, using Mersenne Twister random numbers. The most important and prominent feature of the model simulation is a drastic increase in the pseudo-conductivity index for conductor ratio R > 0.22. This index in the model increased from 10−4 to 100 between R = 0.22 and 0.9, a change of four orders of magnitude. We compared our model responses with results from previous model studies. Although the pseudo-conductivity computed by the model differs slightly from that of the previous model, model responses can account for the conductivity change. Our modeling is thus effective for quantitatively estimating the degree of interconnection of rock and minerals.

Original languageEnglish
Pages (from-to)857-864
Number of pages8
JournalMineralogy and Petrology
Issue number6
Publication statusPublished - 2018 Dec 1


  • Crustal rock
  • Pseudo conductivity
  • Random network
  • Two-phase


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