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Sensitivity kernels for finite-frequency surface waves
Title: | Sensitivity kernels for finite-frequency surface waves |
Authors: | Yoshizawa, K. Browse this author →KAKEN DB | Kennett, B. L. N. Browse this author |
Keywords: | diffraction | ray theory | scattering | sensitivity | surface waves | tomography |
Issue Date: | 2005 |
Publisher: | Wiley |
Journal Title: | Geophysical Journal International |
Volume: | 162 |
Issue: | 3 |
Start Page: | 910 |
End Page: | 926 |
Publisher DOI: | 10.1111/j.1365-246X.2005.02707.x |
Abstract: | Sensitivity kernels for fundamental mode surface waves at finite frequency for 2-D phase speed and 3-D shear wave speed are constructed based on the Born and Rytov approximations working with a potential representation for surface waves. The use of asymptotic Green's functions for scalar wave equations provides an efficient way to calculate the Born or Rytov kernels. The 2-D sensitivity kernels enable us to incorporate the finite-frequency effects of surface waves, as well as off-great-circle propagation, in tomographic inversions for phase-speed structures. We derive examples of the 2-D sensitivity kernels both for a homogeneous background model (or a spherically symmetric model), and for a laterally heterogeneous model. The resulting distortions of the shape of the sensitivity kernels for a heterogeneous background model indicate the importance of the use of proper kernels to account of the heterogeneity in the real Earth. By combining a set of 2-D sensitivity kernels with 1-D vertical sensitivity kernels for a particular frequency range and taking the inverse Fourier transform, we can derive 3-D sensitivity kernels for surface waves in the time domain. Such 3-D kernels are useful for efficient forward modelling of surface waveforms incorporating finite-frequency effects, and will also enable us to perform direct inversion of surface waveforms into 3-D structure taking account of finite-frequency effects. |
Type: | article |
URI: | http://hdl.handle.net/2115/52164 |
Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 吉澤 和範
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