Past Surface Temperatures Reconstructed by Inversion of the Measured Borehole Temperature-Depth Profiles in Rock

  • Sergey A. TyuflinEmail author
  • Oleg V. Nagornov
  • Tatiana I. Bukharova
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11386)


The measured temperature-depth profiles in boreholes are proxy climate indicators. The climatic temperature signal at the surface penetrates in the rock thickness and disturbs the steady-state temperature of the Earth. The measured temperature-depth profile can be so-called the re-determination condition to solve the inverse problem for the thermal diffusivity equation, and retrieve the past surface temperature history. We study properties of solution for this problem. We derive that the solution is not unique. However, there were done numerous past surface temperature reconstructions. We show that it is needed to take into account some a priori data to determine past temperatures correctly.


Boreholes Past surface temperature Inverse problems 


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Sergey A. Tyuflin
    • 1
    Email author
  • Oleg V. Nagornov
    • 1
  • Tatiana I. Bukharova
    • 1
  1. 1.National Research Nuclear University MEPhIMoscowRussia

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