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Inverse problems in surface-wave tomography with spectral and resonance data
Malmö University, Faculty of Technology and Society (TS), Department of Materials Science and Applied Mathematics (MTM). Malmö University, Biofilms Research Center for Biointerfaces. Reims Universities.ORCID iD: 0000-0001-5094-8500
2023 (English)Conference paper, Oral presentation with published abstract (Other academic)
Physical description [en]

Invited talk at 2023 MATH + X Symposium on Dynamos, Planetary Exploration and General Relativity, Inverse Problems and Machine Learning, Hella, Iceland, 1 June 2023

Abstract [en]

Semiclassical analysis can be employed to describe surface waves in an elastic half space which is quasi-stratified near its boundary. In the case of an isotropic medium, the surface wave decouples up to principal parts into Love and Rayleigh waves associated to scalar and matrix spectral problems, respectively. Since the mathematical features (such as spectrum, resonances) of these problems can be extracted from the seismograms, we are interested in recovering the Lam e parameters from these data. We generalize spectral methods for Schrodinger operators to the Rayleigh problem, which is essentially not of Schrodinger type; and give comprehensive analysis of the wavenumber resonances, known in seismology as leaking modes.

This is joint work with Maarten V. de Hoop.

Place, publisher, year, edition, pages
2023.
Keywords [en]
Rayleigh surface waves, wavenumber resonances, leaking modes
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:mau:diva-59895OAI: oai:DiVA.org:mau-59895DiVA, id: diva2:1761544
Conference
2023 MATH + X Symposium on Dynamos, Planetary Exploration and General Relativity, Inverse Problems and Machine Learning, Hella, Iceland, 1 June 2023
Available from: 2023-06-01 Created: 2023-06-01 Last updated: 2023-06-12Bibliographically approved

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Slides(475 kB)52 downloads
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Iantchenko, Alexei

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CiteExportLink to record
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Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
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Language
  • de-DE
  • en-GB
  • en-US
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  • nn-NO
  • nn-NB
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  • Other locale
More languages
Output format
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