The sensitivity of surface mass loading displacement response to perturbations in the elastic structure of the crust and mantle
Surface mass loads generate a rich spectrum of deformation responses in the solid Earth that might be exploited to probe the material properties of the crust and mantle. Here we present a detailed examination of load-induced surface displacements and their sensitivities to systematic perturbations i...
Published in: | Journal of Geophysical Research: Solid Earth |
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American Geophysical Union
2016
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Online Access: | https://doi.org/10.1002/2015JB012456 |
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ftcaltechauth:oai:authors.library.caltech.edu:1wqe5-9f631 2024-06-23T07:54:06+00:00 The sensitivity of surface mass loading displacement response to perturbations in the elastic structure of the crust and mantle Martens, Hilary R. Rivera, Luis Simons, Mark Ito, Takeo 2016-05 https://doi.org/10.1002/2015JB012456 unknown American Geophysical Union https://doi.org/10.1002/2015JB012456 oai:authors.library.caltech.edu:1wqe5-9f631 eprintid:70226 resolverid:CaltechAUTHORS:20160909-090208580 info:eu-repo/semantics/openAccess Other Journal of Geophysical Research. Solid Earth, 121(5), 3911-3938, (2016-05) surface mass loading Love numbers Earth structure ocean tidal loading load Green's functions Earth deformation info:eu-repo/semantics/article 2016 ftcaltechauth https://doi.org/10.1002/2015JB012456 2024-06-12T06:16:15Z Surface mass loads generate a rich spectrum of deformation responses in the solid Earth that might be exploited to probe the material properties of the crust and mantle. Here we present a detailed examination of load-induced surface displacements and their sensitivities to systematic perturbations in elastic Earth structure. We compute Love numbers and displacement load Green's functions (LGFs) by integrating the equations of motion for spheroidal deformation of a radially heterogeneous and self-gravitating Earth. Sensitivity kernels are derived for individual Love numbers numerically using finite differences and quasi-analytically using calculus of variations. We then generate sensitivity kernels for displacement LGFs by systematically perturbing the preliminary reference Earth model. We find that displacement LGFs are most sensitive to elastic structural perturbations within 500 km depth from the surface and for short source-receiver distances. For separate perturbations to the shear modulus, bulk modulus, and density within the crust and mantle, the sensitivity kernels exhibit unique patterns, consistent with the possibility to constrain the parameters independently given a spatially distributed set of sufficiently accurate loading response observations. The sensitivity to density structure, however, is generally weak in comparison to elastic structure. We also examine the sensitivity of surface displacements caused by M_2 ocean tidal loading (OTL) to systematic perturbations in the elastic moduli and density. Since OTL-induced surface displacements are load and site dependent, we focus on high-resolution profiles across Iceland as a case study. The sensitivity kernels constitute a key element in the formulation of the inverse problem with application to geodetic tomography. © 2016 American Geophysical Union. Received 17 AUG 2015; Accepted 22 APR 2016; Accepted article online 28 APR 2016; published online 19 MAY 2016. We thank Duncan Agnew and Richard Ray for their fruitful discussions on ocean tidal ... Article in Journal/Newspaper Iceland Caltech Authors (California Institute of Technology) Journal of Geophysical Research: Solid Earth 121 5 3911 3938 |
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Caltech Authors (California Institute of Technology) |
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topic |
surface mass loading Love numbers Earth structure ocean tidal loading load Green's functions Earth deformation |
spellingShingle |
surface mass loading Love numbers Earth structure ocean tidal loading load Green's functions Earth deformation Martens, Hilary R. Rivera, Luis Simons, Mark Ito, Takeo The sensitivity of surface mass loading displacement response to perturbations in the elastic structure of the crust and mantle |
topic_facet |
surface mass loading Love numbers Earth structure ocean tidal loading load Green's functions Earth deformation |
description |
Surface mass loads generate a rich spectrum of deformation responses in the solid Earth that might be exploited to probe the material properties of the crust and mantle. Here we present a detailed examination of load-induced surface displacements and their sensitivities to systematic perturbations in elastic Earth structure. We compute Love numbers and displacement load Green's functions (LGFs) by integrating the equations of motion for spheroidal deformation of a radially heterogeneous and self-gravitating Earth. Sensitivity kernels are derived for individual Love numbers numerically using finite differences and quasi-analytically using calculus of variations. We then generate sensitivity kernels for displacement LGFs by systematically perturbing the preliminary reference Earth model. We find that displacement LGFs are most sensitive to elastic structural perturbations within 500 km depth from the surface and for short source-receiver distances. For separate perturbations to the shear modulus, bulk modulus, and density within the crust and mantle, the sensitivity kernels exhibit unique patterns, consistent with the possibility to constrain the parameters independently given a spatially distributed set of sufficiently accurate loading response observations. The sensitivity to density structure, however, is generally weak in comparison to elastic structure. We also examine the sensitivity of surface displacements caused by M_2 ocean tidal loading (OTL) to systematic perturbations in the elastic moduli and density. Since OTL-induced surface displacements are load and site dependent, we focus on high-resolution profiles across Iceland as a case study. The sensitivity kernels constitute a key element in the formulation of the inverse problem with application to geodetic tomography. © 2016 American Geophysical Union. Received 17 AUG 2015; Accepted 22 APR 2016; Accepted article online 28 APR 2016; published online 19 MAY 2016. We thank Duncan Agnew and Richard Ray for their fruitful discussions on ocean tidal ... |
format |
Article in Journal/Newspaper |
author |
Martens, Hilary R. Rivera, Luis Simons, Mark Ito, Takeo |
author_facet |
Martens, Hilary R. Rivera, Luis Simons, Mark Ito, Takeo |
author_sort |
Martens, Hilary R. |
title |
The sensitivity of surface mass loading displacement response to perturbations in the elastic structure of the crust and mantle |
title_short |
The sensitivity of surface mass loading displacement response to perturbations in the elastic structure of the crust and mantle |
title_full |
The sensitivity of surface mass loading displacement response to perturbations in the elastic structure of the crust and mantle |
title_fullStr |
The sensitivity of surface mass loading displacement response to perturbations in the elastic structure of the crust and mantle |
title_full_unstemmed |
The sensitivity of surface mass loading displacement response to perturbations in the elastic structure of the crust and mantle |
title_sort |
sensitivity of surface mass loading displacement response to perturbations in the elastic structure of the crust and mantle |
publisher |
American Geophysical Union |
publishDate |
2016 |
url |
https://doi.org/10.1002/2015JB012456 |
genre |
Iceland |
genre_facet |
Iceland |
op_source |
Journal of Geophysical Research. Solid Earth, 121(5), 3911-3938, (2016-05) |
op_relation |
https://doi.org/10.1002/2015JB012456 oai:authors.library.caltech.edu:1wqe5-9f631 eprintid:70226 resolverid:CaltechAUTHORS:20160909-090208580 |
op_rights |
info:eu-repo/semantics/openAccess Other |
op_doi |
https://doi.org/10.1002/2015JB012456 |
container_title |
Journal of Geophysical Research: Solid Earth |
container_volume |
121 |
container_issue |
5 |
container_start_page |
3911 |
op_container_end_page |
3938 |
_version_ |
1802646082791931904 |