Viscoelastic relaxation of a Burgers half-space: implications for the interpretation of the Fennoscandian uplift
We investigate the load-induced response of a Burgers earth model. In particular, using the incremental field equations and interface conditions of viscoelastodynamics, we give closed-form solutions for a two-layer half-space subjected to surface loading. In the special case of homogeneity, the solu...
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fthighwire:oai:open-archive.highwire.org:gji:124/2/541 2023-05-15T16:12:02+02:00 Viscoelastic relaxation of a Burgers half-space: implications for the interpretation of the Fennoscandian uplift Rümpker, Georg Wolff, Detlef 1996-02-01 00:00:00.0 text/html http://gji.oxfordjournals.org/cgi/content/short/124/2/541 https://doi.org/10.1111/j.1365-246X.1996.tb07036.x en eng Oxford University Press http://gji.oxfordjournals.org/cgi/content/short/124/2/541 http://dx.doi.org/10.1111/j.1365-246X.1996.tb07036.x Copyright (C) 1996, Oxford University Press Treitel Section TEXT 1996 fthighwire https://doi.org/10.1111/j.1365-246X.1996.tb07036.x 2012-11-23T22:11:27Z We investigate the load-induced response of a Burgers earth model. In particular, using the incremental field equations and interface conditions of viscoelastodynamics, we give closed-form solutions for a two-layer half-space subjected to surface loading. In the special case of homogeneity, the solution shows that the Burgers half-space is characterized by two fundamental normal modes: M o and M ∞ . They correspond to the short-and long-time viscosities, η o and η ∞ , which describe the creep behaviour of the transient Burgers rheology at short and long times after the onset of loading. In the more general case of a Burgers substratum overlain by an elastic layer, the number of normal modes increases to four: M o , L o , M ∞ , L ∞ . Values of the parameters specifying the Burgers substratum are estimated by predicting the observed post-glacial uplift in Fennoscandia with a simple model of the Pleistocene glaciation history. The calculations return the following results: (1) an upper bound on η ∞ cannot be determined; (2) a comparison with uplift curves for a steady-state Maxwell substratum shows that the marginal and peripheral regions of the Fennoscandian ice sheet are most sensitive to transient creep in the Earth's mantle; and (3) an estimate of η ∞ cannot be obtained without a priori knowledge of the other parameters of Burgers rheology. Text Fennoscandia Fennoscandian Ice Sheet HighWire Press (Stanford University) Geophysical Journal International 124 2 541 555 |
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HighWire Press (Stanford University) |
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English |
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Treitel Section |
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Treitel Section Rümpker, Georg Wolff, Detlef Viscoelastic relaxation of a Burgers half-space: implications for the interpretation of the Fennoscandian uplift |
topic_facet |
Treitel Section |
description |
We investigate the load-induced response of a Burgers earth model. In particular, using the incremental field equations and interface conditions of viscoelastodynamics, we give closed-form solutions for a two-layer half-space subjected to surface loading. In the special case of homogeneity, the solution shows that the Burgers half-space is characterized by two fundamental normal modes: M o and M ∞ . They correspond to the short-and long-time viscosities, η o and η ∞ , which describe the creep behaviour of the transient Burgers rheology at short and long times after the onset of loading. In the more general case of a Burgers substratum overlain by an elastic layer, the number of normal modes increases to four: M o , L o , M ∞ , L ∞ . Values of the parameters specifying the Burgers substratum are estimated by predicting the observed post-glacial uplift in Fennoscandia with a simple model of the Pleistocene glaciation history. The calculations return the following results: (1) an upper bound on η ∞ cannot be determined; (2) a comparison with uplift curves for a steady-state Maxwell substratum shows that the marginal and peripheral regions of the Fennoscandian ice sheet are most sensitive to transient creep in the Earth's mantle; and (3) an estimate of η ∞ cannot be obtained without a priori knowledge of the other parameters of Burgers rheology. |
format |
Text |
author |
Rümpker, Georg Wolff, Detlef |
author_facet |
Rümpker, Georg Wolff, Detlef |
author_sort |
Rümpker, Georg |
title |
Viscoelastic relaxation of a Burgers half-space: implications for the interpretation of the Fennoscandian uplift |
title_short |
Viscoelastic relaxation of a Burgers half-space: implications for the interpretation of the Fennoscandian uplift |
title_full |
Viscoelastic relaxation of a Burgers half-space: implications for the interpretation of the Fennoscandian uplift |
title_fullStr |
Viscoelastic relaxation of a Burgers half-space: implications for the interpretation of the Fennoscandian uplift |
title_full_unstemmed |
Viscoelastic relaxation of a Burgers half-space: implications for the interpretation of the Fennoscandian uplift |
title_sort |
viscoelastic relaxation of a burgers half-space: implications for the interpretation of the fennoscandian uplift |
publisher |
Oxford University Press |
publishDate |
1996 |
url |
http://gji.oxfordjournals.org/cgi/content/short/124/2/541 https://doi.org/10.1111/j.1365-246X.1996.tb07036.x |
genre |
Fennoscandia Fennoscandian Ice Sheet |
genre_facet |
Fennoscandia Fennoscandian Ice Sheet |
op_relation |
http://gji.oxfordjournals.org/cgi/content/short/124/2/541 http://dx.doi.org/10.1111/j.1365-246X.1996.tb07036.x |
op_rights |
Copyright (C) 1996, Oxford University Press |
op_doi |
https://doi.org/10.1111/j.1365-246X.1996.tb07036.x |
container_title |
Geophysical Journal International |
container_volume |
124 |
container_issue |
2 |
container_start_page |
541 |
op_container_end_page |
555 |
_version_ |
1765997266158485504 |