## 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 γ_{0} is the maximum shear strain and x_{b} 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)=γ_{0}m^{-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 language | English |
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Pages (from-to) | 947-955 |

Number of pages | 9 |

Journal | Mathematical Geology |

Volume | 24 |

Issue number | 8 |

DOIs | |

Publication status | Published - 1992 Nov 1 |

Externally published | Yes |

## Keywords

- maximum entropy principle
- shear strain
- truncated exponential distribution

## ASJC Scopus subject areas

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