Frechet Kernels for Imaging Regional Earth Structure Based on Three-Dimensional Reference Models

By Li Zhao, Thomas H. Jordan, Kim B. Olsen, Po Chen. 2005

151 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/1dba04f9e075d5073a44f539bad26d62cf0eb0d1

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In Geophysics

Citations in the corpus

Misfit functions for full waveform inversion based on instantaneous phase and envelope measurements (2011, methodology): “Zhao et al. (2005) proposed to compute Green’s functions in 3-”
Hessian kernels of seismic data functionals based upon adjoint techniques (2011, background): “…Earth model, m. Specific examples for common seismic phases and measurements can be found, for instance, in Friederich (1999), Zhou et al. (2004), Yoshizawa & Kennett (2005), Zhao et al. (2005), Liu & Tromp (2006, 2008), Nissen-Meyer et al. (2007), Sieminski et al. (2007a,b) or Zhou (2009).”
Seismic imaging: From classical to adjoint tomography (2012, methodology): “This naturally led to interest in calculating finite-frequency sensitivity kernels based on more accurate forward modeling methods (Boschi et al., 2007; Liu and Tromp, 2006, 2008; Zhao et al., 2005), and its ensuing applications to tomographic problems (Chen et al.”
Finite-frequency sensitivity kernels for global seismic wave propagation based upon adjoint methods (2008, methodology): “All kernels exhibit very nice banana‐doughnut shapes, in good agreement with ray-based finite-frequency kernels (Dahlen et al. 2000; Hung et al. 2000; Zhou et al. 2004) as well as kernels calculated based upon normal-mode methods ( Zhao et al. 2005; Zhao & Jordan 2006).”
Full 3D Tomography for the Crustal Structure of the Los Angeles Region (2007, methodology): “Scattering-Integral Method In seismic tomography, the data in a vector d are represented as functionals of an Earth model m, and the forward problem can be linearized with respect to a starting model m̃, dd A • dm dV(x)K (m̃,x) • dm(x)d d(m, m̃) d(m̃,m̃).”
Strain Green's Tensors, Reciprocity, and Their Applications to Seismic Source and Structure Studies (2006, methodology): “... and substituted into the integrand in equation (16) to obtain the frequency-domain waveform perturbation due to the perturbation of a given model parameter dCijkl(r )a tr. This waveform perturbation was then transformed back to the time domain by an inverse FFT and used in equation (12) to calcu”
Spectral-Element and Adjoint Methods in Seismology (2008, unknown): “For simple 1D Earth models, banana-donut kernels may be calculated relatively inexpensively based upon ray-theory [19,26,71], or, slightly more expensively, based upon normal-mode methods [69, 70].”