Validation of the laboratory measurements at seismic frequencies using the Kramers-Kronig relationship
© 2016. American Geophysical Union. All Rights Reserved. We present a simple procedure concerning the application of the Kramers-Kronig relation for the validation of the laboratory measurements of the extensional attenuation and Young's modulus carried out on the solid specimens at seismic fre...
| Main Authors: | , , |
|---|---|
| Format: | Journal Article |
| Published: |
American Geophysical Union
2016
|
| Online Access: | http://hdl.handle.net/20.500.11937/4054 |
| _version_ | 1848744406664871936 |
|---|---|
| author | Mikhaltsevitch, Vassili Lebedev, Maxim Gurevich, Boris |
| author_facet | Mikhaltsevitch, Vassili Lebedev, Maxim Gurevich, Boris |
| author_sort | Mikhaltsevitch, Vassili |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | © 2016. American Geophysical Union. All Rights Reserved. We present a simple procedure concerning the application of the Kramers-Kronig relation for the validation of the laboratory measurements of the extensional attenuation and Young's modulus carried out on the solid specimens at seismic frequencies. The local approximation of the Kramers-Kronig relationship was applied to verify the seismic-frequency measurements conducted on four specimens: a viscoelastic polymethyl-methacrylate (PMMA) sample, and two water- and one glycerol-saturated sandstone samples. The experimental tests were performed at various axial (PMMA sample) and confining (sandstone samples) pressures. The measurements conducted on the PMMA sample and saturated sandstones revealed prominent extensional attenuation and significant dispersion of the Young's modulus. Our analysis shows that the quantitative relationship between the extensional attenuation and the Young's modulus is consistent with the causality principle presented by the Kramers-Kronig relationship. No particular physical models implying any constraints on the physical properties of the samples are required for this validation. |
| first_indexed | 2025-11-14T06:00:58Z |
| format | Journal Article |
| id | curtin-20.500.11937-4054 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:00:58Z |
| publishDate | 2016 |
| publisher | American Geophysical Union |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-40542017-09-13T14:33:02Z Validation of the laboratory measurements at seismic frequencies using the Kramers-Kronig relationship Mikhaltsevitch, Vassili Lebedev, Maxim Gurevich, Boris © 2016. American Geophysical Union. All Rights Reserved. We present a simple procedure concerning the application of the Kramers-Kronig relation for the validation of the laboratory measurements of the extensional attenuation and Young's modulus carried out on the solid specimens at seismic frequencies. The local approximation of the Kramers-Kronig relationship was applied to verify the seismic-frequency measurements conducted on four specimens: a viscoelastic polymethyl-methacrylate (PMMA) sample, and two water- and one glycerol-saturated sandstone samples. The experimental tests were performed at various axial (PMMA sample) and confining (sandstone samples) pressures. The measurements conducted on the PMMA sample and saturated sandstones revealed prominent extensional attenuation and significant dispersion of the Young's modulus. Our analysis shows that the quantitative relationship between the extensional attenuation and the Young's modulus is consistent with the causality principle presented by the Kramers-Kronig relationship. No particular physical models implying any constraints on the physical properties of the samples are required for this validation. 2016 Journal Article http://hdl.handle.net/20.500.11937/4054 10.1002/2016GL069269 American Geophysical Union fulltext |
| spellingShingle | Mikhaltsevitch, Vassili Lebedev, Maxim Gurevich, Boris Validation of the laboratory measurements at seismic frequencies using the Kramers-Kronig relationship |
| title | Validation of the laboratory measurements at seismic frequencies using the Kramers-Kronig relationship |
| title_full | Validation of the laboratory measurements at seismic frequencies using the Kramers-Kronig relationship |
| title_fullStr | Validation of the laboratory measurements at seismic frequencies using the Kramers-Kronig relationship |
| title_full_unstemmed | Validation of the laboratory measurements at seismic frequencies using the Kramers-Kronig relationship |
| title_short | Validation of the laboratory measurements at seismic frequencies using the Kramers-Kronig relationship |
| title_sort | validation of the laboratory measurements at seismic frequencies using the kramers-kronig relationship |
| url | http://hdl.handle.net/20.500.11937/4054 |