The normal modes of a layered, incompressible Maxwell half-space

The theory describing the relaxation of an incompressible, layered Maxwell half-space is developed. The approach is based on the analytic solution of the associated elastic model and the subsequent application of the correspondence principle. The viscoelastic theory follows normal-mode theory, which...

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Main Author: Wolf, Detlef
Format: Article in Journal/Newspaper
Language:English
Published: 1985
Subjects:
Online Access:https://doi.org/10.18419/opus-7128
http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-50805
http://elib.uni-stuttgart.de/handle/11682/7145
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author Wolf, Detlef
author_facet Wolf, Detlef
author_sort Wolf, Detlef
collection OPUS - Publication Server of the University of Stuttgart
description The theory describing the relaxation of an incompressible, layered Maxwell half-space is developed. The approach is based on the analytic solution of the associated elastic model and the subsequent application of the correspondence principle. The viscoelastic theory follows normal-mode theory, which allows the independent and exact determination of the relaxationtime and amplitude spectra for each mode of relaxation. The solution is tested by calculating the response of several models in the wavenumber and spatial domains. The examples are selected with regard to postglacial adjustment in Fennoscandia and analyse effects caused by (a) varying lithospheric thickness, (b) adding an asthenosphere, (c) increasing lower-mantle viscosity, (d) permitting relaxation of the lower lithosphere or (e) introducing density contrasts at 400-km and 670-km depths.
format Article in Journal/Newspaper
genre Fennoscandia
genre_facet Fennoscandia
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language English
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op_doi https://doi.org/10.18419/opus-7128
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spelling ftunivstutt:oai:elib.uni-stuttgart.de:11682/7145 2025-04-13T14:18:32+00:00 The normal modes of a layered, incompressible Maxwell half-space Wolf, Detlef 1985 application/pdf https://doi.org/10.18419/opus-7128 http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-50805 http://elib.uni-stuttgart.de/handle/11682/7145 en eng 321599721 info:eu-repo/semantics/openAccess Asthenosphäre Lithosphäre Viskoelastizität 550 article 1985 ftunivstutt https://doi.org/10.18419/opus-7128 2025-03-18T06:41:26Z The theory describing the relaxation of an incompressible, layered Maxwell half-space is developed. The approach is based on the analytic solution of the associated elastic model and the subsequent application of the correspondence principle. The viscoelastic theory follows normal-mode theory, which allows the independent and exact determination of the relaxationtime and amplitude spectra for each mode of relaxation. The solution is tested by calculating the response of several models in the wavenumber and spatial domains. The examples are selected with regard to postglacial adjustment in Fennoscandia and analyse effects caused by (a) varying lithospheric thickness, (b) adding an asthenosphere, (c) increasing lower-mantle viscosity, (d) permitting relaxation of the lower lithosphere or (e) introducing density contrasts at 400-km and 670-km depths. Article in Journal/Newspaper Fennoscandia OPUS - Publication Server of the University of Stuttgart
spellingShingle Asthenosphäre
Lithosphäre
Viskoelastizität
550
Wolf, Detlef
The normal modes of a layered, incompressible Maxwell half-space
title The normal modes of a layered, incompressible Maxwell half-space
title_full The normal modes of a layered, incompressible Maxwell half-space
title_fullStr The normal modes of a layered, incompressible Maxwell half-space
title_full_unstemmed The normal modes of a layered, incompressible Maxwell half-space
title_short The normal modes of a layered, incompressible Maxwell half-space
title_sort normal modes of a layered, incompressible maxwell half-space
topic Asthenosphäre
Lithosphäre
Viskoelastizität
550
topic_facet Asthenosphäre
Lithosphäre
Viskoelastizität
550
url https://doi.org/10.18419/opus-7128
http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-50805
http://elib.uni-stuttgart.de/handle/11682/7145