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...
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Caltech Authors (California Institute of Technology) |
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ftcaltechauth |
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English |
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. |
format |
Article in Journal/Newspaper |
author |
Martens, Hilary R. Rivera, Luis Simons, Mark Ito, Takeo |
spellingShingle |
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 |
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://authors.library.caltech.edu/70226/ https://authors.library.caltech.edu/70226/1/Martens_et_al-2016-Journal_of_Geophysical_Research__Solid_Earth.pdf https://authors.library.caltech.edu/70226/2/jgrb51610-sup-0001-supinfo.pdf https://authors.library.caltech.edu/70226/3/jgrb51610-sup-0002-supinfo.tex https://authors.library.caltech.edu/70226/4/jgrb51610-sup-0003-supinfo.txt https://authors.library.caltech.edu/70226/5/jgrb51610-sup-0004-supinfo.txt https://authors.library.caltech.edu/70226/8/jgrb51610-sup-0005-supinfo.txt https://authors.library.caltech.edu/70226/10/jgrb51610-sup-0006-supinfo.txt https://authors.library.caltech.edu/70226/11/jgrb51610-sup-0007-supinfo.txt https://authors.library.caltech.edu/70226/14/jgrb51610-sup-0008-supinfo.txt https://authors.library.caltech.edu/70226/16/jgrb51610-sup-0009-supinfo.txt https://authors.library.caltech.edu/70226/18/jgrb51610-sup-0010-supinfo.txt https://authors.library.caltech.edu/70226/20/jgrb51610-sup-0011-supinfo.txt https://authors.library.caltech.edu/70226/21/jgrb51610-sup-0012-supinfo.txt https://authors.library.caltech.edu/70226/23/jgrb51610-sup-0013-supinfo.txt https://authors.library.caltech.edu/70226/26/jgrb51610-sup-0014-supinfo.txt https://authors.library.caltech.edu/70226/27/jgrb51610-sup-0015-supinfo.txt https://authors.library.caltech.edu/70226/30/jgrb51610-sup-0016-supinfo.txt https://authors.library.caltech.edu/70226/31/jgrb51610-sup-0017-supinfo.txt https://authors.library.caltech.edu/70226/32/jgrb51610-sup-0018-supinfo.txt https://authors.library.caltech.edu/70226/36/jgrb51610-sup-0019-supinfo.txt https://authors.library.caltech.edu/70226/37/jgrb51610-sup-0020-supinfo.txt https://authors.library.caltech.edu/70226/38/jgrb51610-sup-0021-supinfo.txt https://authors.library.caltech.edu/70226/42/jgrb51610-sup-0022-supinfo.txt https://authors.library.caltech.edu/70226/43/jgrb51610-sup-0023-supinfo.txt https://authors.library.caltech.edu/70226/46/jgrb516 |
genre |
Iceland |
genre_facet |
Iceland |
op_relation |
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https://doi.org/10.1002/2015JB012456 |
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Journal of Geophysical Research: Solid Earth |
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ftcaltechauth:oai:authors.library.caltech.edu:70226 2023-05-15T16:51:29+02:00 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 application/pdf application/x-latex text/plain https://authors.library.caltech.edu/70226/ https://authors.library.caltech.edu/70226/1/Martens_et_al-2016-Journal_of_Geophysical_Research__Solid_Earth.pdf https://authors.library.caltech.edu/70226/2/jgrb51610-sup-0001-supinfo.pdf https://authors.library.caltech.edu/70226/3/jgrb51610-sup-0002-supinfo.tex https://authors.library.caltech.edu/70226/4/jgrb51610-sup-0003-supinfo.txt https://authors.library.caltech.edu/70226/5/jgrb51610-sup-0004-supinfo.txt https://authors.library.caltech.edu/70226/8/jgrb51610-sup-0005-supinfo.txt https://authors.library.caltech.edu/70226/10/jgrb51610-sup-0006-supinfo.txt https://authors.library.caltech.edu/70226/11/jgrb51610-sup-0007-supinfo.txt https://authors.library.caltech.edu/70226/14/jgrb51610-sup-0008-supinfo.txt https://authors.library.caltech.edu/70226/16/jgrb51610-sup-0009-supinfo.txt https://authors.library.caltech.edu/70226/18/jgrb51610-sup-0010-supinfo.txt https://authors.library.caltech.edu/70226/20/jgrb51610-sup-0011-supinfo.txt https://authors.library.caltech.edu/70226/21/jgrb51610-sup-0012-supinfo.txt https://authors.library.caltech.edu/70226/23/jgrb51610-sup-0013-supinfo.txt https://authors.library.caltech.edu/70226/26/jgrb51610-sup-0014-supinfo.txt https://authors.library.caltech.edu/70226/27/jgrb51610-sup-0015-supinfo.txt https://authors.library.caltech.edu/70226/30/jgrb51610-sup-0016-supinfo.txt https://authors.library.caltech.edu/70226/31/jgrb51610-sup-0017-supinfo.txt https://authors.library.caltech.edu/70226/32/jgrb51610-sup-0018-supinfo.txt https://authors.library.caltech.edu/70226/36/jgrb51610-sup-0019-supinfo.txt https://authors.library.caltech.edu/70226/37/jgrb51610-sup-0020-supinfo.txt https://authors.library.caltech.edu/70226/38/jgrb51610-sup-0021-supinfo.txt https://authors.library.caltech.edu/70226/42/jgrb51610-sup-0022-supinfo.txt https://authors.library.caltech.edu/70226/43/jgrb51610-sup-0023-supinfo.txt https://authors.library.caltech.edu/70226/46/jgrb516 en eng American Geophysical Union https://authors.library.caltech.edu/70226/1/Martens_et_al-2016-Journal_of_Geophysical_Research__Solid_Earth.pdf https://authors.library.caltech.edu/70226/2/jgrb51610-sup-0001-supinfo.pdf https://authors.library.caltech.edu/70226/3/jgrb51610-sup-0002-supinfo.tex https://authors.library.caltech.edu/70226/4/jgrb51610-sup-0003-supinfo.txt https://authors.library.caltech.edu/70226/5/jgrb51610-sup-0004-supinfo.txt https://authors.library.caltech.edu/70226/8/jgrb51610-sup-0005-supinfo.txt https://authors.library.caltech.edu/70226/10/jgrb51610-sup-0006-supinfo.txt https://authors.library.caltech.edu/70226/11/jgrb51610-sup-0007-supinfo.txt https://authors.library.caltech.edu/70226/14/jgrb51610-sup-0008-supinfo.txt https://authors.library.caltech.edu/70226/16/jgrb51610-sup-0009-supinfo.txt https://authors.library.caltech.edu/70226/18/jgrb51610-sup-0010-supinfo.txt https://authors.library.caltech.edu/70226/20/jgrb51610-sup-0011-supinfo.txt https://authors.library.caltech.edu/70226/21/jgrb51610-sup-0012-supinfo.txt https://authors.library.caltech.edu/70226/23/jgrb51610-sup-0013-supinfo.txt https://authors.library.caltech.edu/70226/26/jgrb51610-sup-0014-supinfo.txt https://authors.library.caltech.edu/70226/27/jgrb51610-sup-0015-supinfo.txt https://authors.library.caltech.edu/70226/30/jgrb51610-sup-0016-supinfo.txt https://authors.library.caltech.edu/70226/31/jgrb51610-sup-0017-supinfo.txt https://authors.library.caltech.edu/70226/32/jgrb51610-sup-0018-supinfo.txt https://authors.library.caltech.edu/70226/36/jgrb51610-sup-0019-supinfo.txt https://authors.library.caltech.edu/70226/37/jgrb51610-sup-0020-supinfo.txt https://authors.library.caltech.edu/70226/38/jgrb51610-sup-0021-supinfo.txt https://authors.library.caltech.edu/70226/42/jgrb51610-sup-0022-supinfo.txt https://authors.library.caltech.edu/70226/43/jgrb51610-sup-0023-supinfo.txt https://authors.library.caltech.edu/70226/46/jgrb51610-sup-0024-supinfo.txt https://authors.library.caltech.edu/70226/47/jgrb51610-sup-0025-supinfo.txt https://authors.library.caltech.edu/70226/48/jgrb51610-sup-0026-supinfo.txt Martens, Hilary R. and Rivera, Luis and Simons, Mark and Ito, Takeo (2016) The sensitivity of surface mass loading displacement response to perturbations in the elastic structure of the crust and mantle. Journal of Geophysical Research. Solid Earth, 121 (5). pp. 3911-3938. ISSN 2169-9313. doi:10.1002/2015JB012456. https://resolver.caltech.edu/CaltechAUTHORS:20160909-090208580 <https://resolver.caltech.edu/CaltechAUTHORS:20160909-090208580> other Article PeerReviewed 2016 ftcaltechauth https://doi.org/10.1002/2015JB012456 2021-11-18T18:38:56Z 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. Article in Journal/Newspaper Iceland Caltech Authors (California Institute of Technology) Journal of Geophysical Research: Solid Earth 121 5 3911 3938 |