Abstract
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.
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References
Pollack, H.N., Huang, S.: Climate reconstruction from subsurface temperatures. Ann. Rev. Earth Planet. Sci. 28(1), 339–365 (2000)
Nagornov, O.V., Tyuflin, S.A.: Inverse problem for paleo-temperature reconstruction based on the tree-ring width and glacier-borehole data. In: Dimov, I., Faragó, I., Vulkov, L. (eds.) Numerical Analysis and Its Applications. LNCS, vol. 10187, pp. 508–516. Springer, Cham (2016). https://doi.org/10.1007/978-3-319-57099-0_57
Dahl-Jensen, D., et al.: Past temperatures directly from the Greenland ice sheet. Science 282, 268–271 (1998)
Shen, P.Y., Beck, A.E.: Least squares inversion of borehole temperature measurements in functional space. J. Geophys. Res. 96, 19965–19979 (1991)
Beltrami, H., Cheng, L.Z., Mareschal, J.C.: Simultaneous inversion of borehole temperature data for past climate determination. Geophys. J. Int. 129, 311–318 (1997)
MacAyeal, D.R., Firestone, J., Waddington, E.: Paleothermometry by control method. J. Glaciol. 37(127), 326–338 (1991)
Nagornov, O.V., Tyuflin, S.A., Konovalov, Y.V., Kostin, A.B.: Inverse Problems of Paleothermometry. MEPhI, Moscow (2008)
Overpeck, J., et al.: Arctic environmental change of the last four centuries. Science 278, 1251–1256 (1997)
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Tyuflin, S.A., Nagornov, O.V., Bukharova, T.I. (2019). Past Surface Temperatures Reconstructed by Inversion of the Measured Borehole Temperature-Depth Profiles in Rock. In: Dimov, I., Faragó, I., Vulkov, L. (eds) Finite Difference Methods. Theory and Applications. FDM 2018. Lecture Notes in Computer Science(), vol 11386. Springer, Cham. https://doi.org/10.1007/978-3-030-11539-5_67
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DOI: https://doi.org/10.1007/978-3-030-11539-5_67
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