Published April 23, 2024 | Version 1.0
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T1dH: A 1-d code for the calculation of Heat conduction with Earth Science Applications

  • 1. Johannes Gutenberg Universität Mainz
  • 2. ROR icon Johannes Gutenberg University Mainz


T1dH (Temperature diffusion in 1d using the enthalpy (H) method)  is set of MATLAB routines that can be used to calculate the temperature evolution in 1 dimension using the enthalpy method. This approach allows for the incorporation of latent-heat effects on cooling/exhuming regions. 

The code has been written in general form using functions that would allow the more transparent presentation of the results. More technical details follow in the documentation. The software and the present documentation are provided free of charge and they are mostly intended for research and teaching purposes. At this point, all the provided routines have been tested for compatibility with OCTAVE.



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  • Braun, J., Beek, P. van der, & Batt, G. (2006). Quantitative Thermochronology: Numerical Methods for the Interpretation of Thermochronological Data. Cambridge University Press; Cambridge Core.
  • Courant, R., Friedrichs, K., & Lewy, H. (1928). Über die partiellen Differenzengleichungen der mathematischen Physik. Mathematische Annalen, 100(1), 32–74.
  • Powers, J. M. (2016). Combustion Thermodynamics and Dynamics. Cambridge University Press.
  • Schorn, S., Moulas, E., & Stüwe, K. (2024). Exothermic reactions and 39Ar−40Ar thermochronology: Hydration leads to younger apparent ages. Geology.
  • Turcotte, D. L., & Schubert, G. (2014). Geodynamics (3rd ed.). Cambridge University Press.