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| Titel |
Deeper understanding of non-linear geodetic data inversion using a quantitative sensitivity analysis |
| VerfasserIn |
C. Tiede, K. Tiampo, J. Fernandez, C. Gerstenecker |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1023-5809
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| Digitales Dokument |
URL |
| Erschienen |
In: Nonlinear Processes in Geophysics ; 12, no. 3 ; Nr. 12, no. 3 (2005-03-01), S.373-379 |
| Datensatznummer |
250010593
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| Publikation (Nr.) |
 copernicus.org/npg-12-373-2005.pdf |
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| Zusammenfassung |
| A quantitative global sensitivity analysis (SA) is applied to the non-linear
inversion of gravity changes and displacement data which measured in an
active volcanic area. The common inversion of this data is based on the
solution of the generalized Navier equations which couples both types of
observation, gravity and displacement, in a homogeneous half space. The
sensitivity analysis has been carried out using Sobol's variance-based
approach which produces the total sensitivity indices (TSI), so that all
interactions between the unknown input parameters are taken into account.
Results of the SA show quite different sensitivities for the measured changes
as they relate to the unknown parameters for the east, north and height
component, as well as the pressure, radial and mass component of an
elastic-gravitational source. The TSIs are implemented into the inversion in
order to stabilize the computation of the unknown parameters, which showed
wide dispersion ranges in earlier optimization approaches. Samples which were
computed using a genetic algorithm (GA) optimization are compared to samples
in which the results of the global sensitivity analysis are integrated by a
reweighting of the cofactor matrix in the objective function. The comparison
shows that the implementation of the TSI's can decrease the dispersion rate
of unknown input parameters, producing a great improvement the reliable
determination of the unknown parameters. |
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