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About a rock thermochronologycal model: Laslett's law study and time equivalent method

Authors
Journal
Applied Numerical Mathematics
0168-9274
Publisher
Elsevier
Publication Date
Volume
50
Issue
2
Identifiers
DOI: 10.1016/j.apnum.2003.09.005
Keywords
  • Ordinary Differential Equation
  • Numerical Method
  • Equivalent Time Method
  • Numerical Approximation
  • Geophysical Modeling
  • Fission Track
  • Thermal History
  • Laslett'S Law
Disciplines
  • Earth Science
  • Mathematics

Abstract

Abstract We propose a mathematical study of Laslett's law, classically used in rock thermochronology. Laslett's law is considered here for time variable thermal histories. This study is based on the numerical analysis of the time equivalent method. It is proved to be an exact method for piecewise constant functions that represent the temperature histories. Error bounds are then obtained for more general temperature histories. Some numerical simulations and comparisons with other classical methods prove the time equivalent method to be well fitted to the large time interval problems in geochronology.

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