Maximum entropy and shear strain of shear zone

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1 Citation (Scopus)

Abstract

The principle of maximum entropy can be used to determine the shear strain in natural shear zones. When the margin of a shear zone is assumed, the principle leads to the truncated exponential distribution of the shear strain. If x is the distance remote from the shear zone center, which possesses the maximum shear strain, the shear strain γ (x) is given by {Mathematical expression} where γ0 is the maximum shear strain and xb is the boundary distance. This relationship agrees with the observed data remarkably well. Further given no margin to distance, this relation generates the Becker's relation (γ(x)=γ0m-x) under the condition β>0. This truncated exponential distribution function which fits the observed data remarkably well is expected to be valid for the strain analysis of natural shear zones.

Original languageEnglish
Pages (from-to)947-955
Number of pages9
JournalMathematical Geology
Volume24
Issue number8
DOIs
Publication statusPublished - 1992 Nov 1
Externally publishedYes

Keywords

  • maximum entropy principle
  • shear strain
  • truncated exponential distribution

ASJC Scopus subject areas

  • Mathematics (miscellaneous)
  • Earth and Planetary Sciences (miscellaneous)

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