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Regularization of downward heat flow continuation

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Резюме

Пре¶rt;ложены некоmорые реzулярuзaцuонные nо¶rt;хо¶rt;ы к nро¶rt;олженuю внuз nоверхносmноzо mеnловоzо nоmокa в nре¶rt;nоложенuu, чmо nеренос mеnлa оnuсывaеmся о¶rt;норо¶rt;ным сmaцuонaрным урaвненuем (урaвненuем Лanлaсa). Исnользовaно nреобрaзовaнuе Фурье zорuзонmaльных коор¶rt;uнam u рaссмоmренa связь меж¶rt;у реzулярuзaцuеŭ mеnловоzо nоmокa u рерулярuзaцuеŭ еzо сnекmрa. Уnомянуma возможносmь nрuмененuя aнnрuорноŭ оценкu nо¶rt;nоверхносmноzо mеnловоzо nоmокa.

Summary

Some regularization approaches to downward heat flow continuation from the Earth's surface to the depth of interest are presented, provided the heat transfer is described by the homogeneous steady-state equation. The Fourier transform of horizontal coordinates is used and the relation between the regularization of the heat flow spectrum and the regularization of the heat flow in the spatial domain are discussed. The utilization of an a priori information about the subsurface heat flow is mentioned.

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References

  1. G. Bodvarsson: Approximation Method for Equivalent Strata. J. Geoph. Res., 76 (1971), 3932.

    Article  Google Scholar 

  2. J. Formánek: Úvod do kvantové teorie. Academia, Praha 1983.

    Google Scholar 

  3. S. Fučík, J. Nečas, V. Souček: Úvod do variačního počtu. SPN, Praha 1972. German translation: Einführung in die Variationsrechnung. Teubner, Leipzig 1977.

    Google Scholar 

  4. O. John, J. Nečas: Rovnice matematické fyziky. SPN, Praha 1972.

    Google Scholar 

  5. J.-C. Mareschal: Inversion of Potential Field Data in Fourier Transform Domain. Geophysics, 50 (1985), 685.

    Article  Google Scholar 

  6. J.-C. Mareschal, J. P. Cunningham, R. P. Lowell: Downward Continuation of Heat Flow Data: Method and Examples from the Western United States. Geophysics, 50 (1985), 846.

    Article  Google Scholar 

  7. C. Matyska: The Inverse Gravity Problem: Existence, Uniqueness and Stability of the Solution. Studia geoph. et geod., 31 (1987), 252.

    Article  Google Scholar 

  8. C. Matyska, E. Matysková, P. Sladký: Three-dimensional Thermoacoustic Theory for Stratified Media in a Cylindrical Photoacoustic Cell. Czech. J. Phys., B 35 (1985), 433.

    Article  Google Scholar 

  9. J. Nečas, I. Hlaváček: Mathematical Theory of Elastic and Elastico-Plastic Bodies: An Introduction. Elsevier, Amsterdam etc. 1981. Czech translation: Úvod do matematické teorie pružných a pružně plastických těles. SNTL, Praha 1983.

    Google Scholar 

  10. Terrestrial Heat Flow in Europe. Eds. V. Čermák, L. Rybach. Springer-Vlg, Berlin etc. 1979.

    Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Geophysics and Meterology, Charles University, Prague

    Ctirad Matyska

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  1. Ctirad Matyska
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Matyska, C. Regularization of downward heat flow continuation. Stud Geophys Geod 31, 359–368 (1987). https://doi.org/10.1007/BF01882607

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  • DOI: https://doi.org/10.1007/BF01882607

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