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

  • Authors:

  • A. Radid;J. C. Miellou;A. Chambaudet;M. Grivet

  • Affiliations:

  • Laboratoire de Mathématiques et Applications, Unité Mixte de Recherche 6632 CNRS, France;Laboratoire de Mathématiques et Applications, Unité Mixte de Recherche 6632 CNRS, France;Laboratoire de Microanalyses, Nucléaires Équipe d'Accueil 473-LRC-CEA, MO7, Faculté des Sciences et des Techniques, Université de Franche-Comté, 16 route de Gray, 25030 Be ...;Laboratoire de Microanalyses, Nucléaires Équipe d'Accueil 473-LRC-CEA, MO7, Faculté des Sciences et des Techniques, Université de Franche-Comté, 16 route de Gray, 25030 Be ...

  • Venue:
  • Applied Numerical Mathematics
  • Year:
  • 2004

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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 simulation and comparisons with other classical methods prove the time equivalent method to be wil fitted to the large time interval problems in geochronology.