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SVD analysis of a 3D inverse thermal model

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Methods and Applications of Inversion

Part of the book series: Lecture Notes in Earth Sciences ((LNEARTH,volume 92))

Abstract

The steady-state heat equation is used to calculate the thermal structure of the lithosphere in the Danish and surrounding areas. The variable parameters in the inversion are the background heat flow and the upper crustal heat production rate. The data are surface heat-flow values. The optimal model is obtained by iterative least squares inversion. An infinite number of combinations of crustal heat production rate and background heat flow yield the observed surface heat-flow field within the uncertainties of the data. This non-uniqueness of the thermal model is analysed by singular value decomposition of the matrix of partial derivatives. It is concluded that the surface heat flow cannot resolve the long wavelength components of crustal heat production and background heat flow without addition of prior information. However, local anomalies in shallow heat sources can be detected by the method.

In the Danish and surrounding areas, the surface heat flow decreases towards the north-east. This variation is modelled by a combination of a lower background heat flow and a lower upper crustal heat production rate, whereas more local heat-flow anomalies are modelled by local variations in crustal heat production rate.

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Authors and Affiliations

  1. Department of Earth Sciences, University of Aarhus, Finlandsgade 8, 8200, Århus N, Denmark

    Lykke Gemmer & Søren B. Nielsen

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  1. Lykke Gemmer
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  2. Søren B. Nielsen
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Per Christian Hansen Bo Holm Jacobsen Klaus Mosegaard

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© 2000 Springer-Verlag

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Gemmer, L., Nielsen, S.B. (2000). SVD analysis of a 3D inverse thermal model. In: Hansen, P.C., Jacobsen, B.H., Mosegaard, K. (eds) Methods and Applications of Inversion. Lecture Notes in Earth Sciences, vol 92. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0010289

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  • DOI: https://doi.org/10.1007/BFb0010289

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-65916-7

  • Online ISBN: 978-3-540-48866-8

  • eBook Packages: Springer Book Archive

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