Decomposition and Properties of the Traveltime Sensitivity Kernels in Transversely Isotropic Elastic Media
This study discusses the properties and decompositions of the traveltime sensitivity kernels in elastic isotopic and transversely isotropic media. Analytical solutions in homogeneous isotropic elastic media are derived and help better understand their properties. One key component is the kernel phas...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-12-01
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| Series: | Minerals |
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| Online Access: | https://www.mdpi.com/2075-163X/12/12/1583 |
| _version_ | 1797456134826622976 |
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| author | Houzhu Zhang Hong Liang Hongwei Liu Yang Zhao |
| author_facet | Houzhu Zhang Hong Liang Hongwei Liu Yang Zhao |
| author_sort | Houzhu Zhang |
| collection | DOAJ |
| description | This study discusses the properties and decompositions of the traveltime sensitivity kernels in elastic isotopic and transversely isotropic media. Analytical solutions in homogeneous isotropic elastic media are derived and help better understand their properties. One key component is the kernel phase function which determines the frequency components of the sensitivity kernels, the geometrical setting of the Fresnel zones, and the resolving ability for velocity inversion. For the purpose of exploration seismology, the sensitivity kernels for finite-frequency traveltime inversion in transversely isotropic elastic media are expressed in terms of Thomsen’s anisotropic parameters. The sensitivity kernels in anisotropic media can be decomposed into the summation of the isotropic terms constructed by the elastic properties in the symmetry direction and the correction terms due to the presence of anisotropy. Sensitivity kernels computed from different types of acquisitions contain information for different parameters. We compare the kernels computed using finite-difference with those by dynamic ray tracing. We conclude that the full wave numerical method is able to provide high-resolution kernels, which form the basis for 3D finite-frequency traveltime inversion for velocity and anisotropic parameters. |
| first_indexed | 2024-03-09T16:04:01Z |
| format | Article |
| id | doaj.art-3108631300e9426b875947073c9b86a8 |
| institution | Directory Open Access Journal |
| issn | 2075-163X |
| language | English |
| last_indexed | 2024-03-09T16:04:01Z |
| publishDate | 2022-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Minerals |
| spelling | doaj.art-3108631300e9426b875947073c9b86a82023-11-24T16:52:15ZengMDPI AGMinerals2075-163X2022-12-011212158310.3390/min12121583Decomposition and Properties of the Traveltime Sensitivity Kernels in Transversely Isotropic Elastic MediaHouzhu Zhang0Hong Liang1Hongwei Liu2Yang Zhao3Houston Research Center, Aramco Services Company, Houston, TX 77084, USAHouston Research Center, Aramco Services Company, Houston, TX 77084, USAShandong Provincial Key Laboratory of Deep Oil and Gas, China University of Petroleum (East China), Qingdao 266580, ChinaUnconventional Petroleum Research Institute, China University of Petroleum, 18 Fuxue Road, Changping District, Beijing 102249, ChinaThis study discusses the properties and decompositions of the traveltime sensitivity kernels in elastic isotopic and transversely isotropic media. Analytical solutions in homogeneous isotropic elastic media are derived and help better understand their properties. One key component is the kernel phase function which determines the frequency components of the sensitivity kernels, the geometrical setting of the Fresnel zones, and the resolving ability for velocity inversion. For the purpose of exploration seismology, the sensitivity kernels for finite-frequency traveltime inversion in transversely isotropic elastic media are expressed in terms of Thomsen’s anisotropic parameters. The sensitivity kernels in anisotropic media can be decomposed into the summation of the isotropic terms constructed by the elastic properties in the symmetry direction and the correction terms due to the presence of anisotropy. Sensitivity kernels computed from different types of acquisitions contain information for different parameters. We compare the kernels computed using finite-difference with those by dynamic ray tracing. We conclude that the full wave numerical method is able to provide high-resolution kernels, which form the basis for 3D finite-frequency traveltime inversion for velocity and anisotropic parameters.https://www.mdpi.com/2075-163X/12/12/1583elastic inversionanisotropytomographysensitivity kernelsfinite-frequencyseismic data analysis |
| spellingShingle | Houzhu Zhang Hong Liang Hongwei Liu Yang Zhao Decomposition and Properties of the Traveltime Sensitivity Kernels in Transversely Isotropic Elastic Media Minerals elastic inversion anisotropy tomography sensitivity kernels finite-frequency seismic data analysis |
| title | Decomposition and Properties of the Traveltime Sensitivity Kernels in Transversely Isotropic Elastic Media |
| title_full | Decomposition and Properties of the Traveltime Sensitivity Kernels in Transversely Isotropic Elastic Media |
| title_fullStr | Decomposition and Properties of the Traveltime Sensitivity Kernels in Transversely Isotropic Elastic Media |
| title_full_unstemmed | Decomposition and Properties of the Traveltime Sensitivity Kernels in Transversely Isotropic Elastic Media |
| title_short | Decomposition and Properties of the Traveltime Sensitivity Kernels in Transversely Isotropic Elastic Media |
| title_sort | decomposition and properties of the traveltime sensitivity kernels in transversely isotropic elastic media |
| topic | elastic inversion anisotropy tomography sensitivity kernels finite-frequency seismic data analysis |
| url | https://www.mdpi.com/2075-163X/12/12/1583 |
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