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Local recovery of lithospheric stress tensor from GOCE gravitational tensor
University West, Department of Engineering Science, Division of Computer, Electrical and Surveying Engineering.ORCID iD: 0000-0003-0067-8631
2017 (English)In: Geophysical Journal International, ISSN 0956-540X, E-ISSN 1365-246X, Vol. 209, no 1, 317-333 p.Article in journal (Refereed) Published
Abstract [en]

The sub-lithospheric stress due to mantle convection can be computed from gravity data and propagated through the lithosphere by solving the boundary-value problem of elasticity for the Earth's lithosphere. In this case, a full tensor of stress can be computed at any point inside this elastic layer. Here, we present mathematical foundations for recovering such a tensor from gravitational tensor measured at satellite altitudes. The mathematical relations will be much simpler in this way than the case of using gravity data as no derivative of spherical harmonics or Legendre polynomials is involved in the expressions. Here, new relations between the spherical harmonic coefficients of the stress and gravitational tensor elements are presented. Thereafter integral equations are established from them to recover the elements of stress tensor from those of the gravitational tensor. The integrals have no closed-form kernels, but they are easy to invert and their spatial truncation errors are reducible. The integral equations are used to invert the real data of the gravity field and steady-state ocean circulation explorer (GOCE) mission, in November 2009, over the South American plate and its surroundings to recover the stress tensor at a depth of 35 km. The recovered stress fields are in good agreement with the tectonic and geological features of the area.

Place, publisher, year, edition, pages
Oxford: Blackwell Publishing, 2017. Vol. 209, no 1, 317-333 p.
Keyword [en]
Satellite geodesy, Gravity anomalies, Earth structure
National Category
Geophysics
Research subject
ENGINEERING, Physics
Identifiers
URN: urn:nbn:se:hv:diva-10626DOI: 10.1093/gji/ggx026ISI: 000396820600021Scopus ID: 2-s2.0-85019943666OAI: oai:DiVA.org:hv-10626DiVA: diva2:1068506
Available from: 2017-01-25 Created: 2017-01-25 Last updated: 2017-09-21Bibliographically approved

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Eshagh, Mehdi
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CiteExportLink to record
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Cite
Citation style
  • apa
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  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
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  • Other locale
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Output format
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  • asciidoc
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