Application of the Pi theorem to the wear rate of gouge formation in frictional sliding of rocks

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4 Citations (Scopus)

Abstract

A simple law of wear rate is examined for the process of gouge generation during the frictional sliding of simulated faults in rocks, by use of the Pi theorem method (dimensional analysis) and existing experimental data. The relationship between wear rate (t/d) and the applied stress can be expressed by the power-law relations {Mathematical expression} where t is the thickness of the gouge generated on the frictional surfaces, d is the fault displacement, σ and τ are normal stress and shear stress, respectively, and Cσ, Cτ, mσ and mτ are constants. These results indicate that the exponent coefficients mσ and mτ and the coefficients Cσ and Cτ depend on the material hardness of the frictional surfaces. By using the wear rates of natural faults, these power-law relationships may prove to be an acceptable palaeopiezometer of natural faults and the lithosphere.

Original languageEnglish
Pages (from-to)795-808
Number of pages14
JournalPure and Applied Geophysics PAGEOPH
Volume142
Issue number3-4
DOIs
Publication statusPublished - 1994 Sep

Keywords

  • Pi theorem
  • fault zones
  • frictional sliding
  • stress
  • wear rate

ASJC Scopus subject areas

  • Geophysics
  • Geochemistry and Petrology

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