Abstract
In geothermochronology, the interest in fission tracks is mainly to resolve the thermal history from apatite fission track data. To solve what we call the inverse problem, we propose a mathematical convection methodology, that is to say a mathematical formulation formally similar to the standard one used for the thermal convection phenomena in fluid dynamics. This seems to be a basis for an alternative to other statistical ones [Monte Carlo (Lutz and Omar, 1991)] and equivalent time methods (Duddy et al., 1988).
The aim of this paper is to give an account of the use of the convection methodology in thermochronology when applied to standard annealing laws such as Bertagnolli’s or Laslett’s laws, where the last one is put into the form of a differential equation resembling the former.
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References
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Igli, H., Miellou, JC., Chambaudet, A., Rebetez, M. (1998). Mathematical Convection Methodology Using Bertagnolli and Laslett Fission Track Annealing Laws. In: van den Haute, P., de Corte, F. (eds) Advances in Fission-Track Geochronology. Solid Earth Sciences Library, vol 10. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9133-1_7
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DOI: https://doi.org/10.1007/978-94-015-9133-1_7
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