Finite-Frequency Kernels Based on Adjoint Methods

By Qinya Liu, Jeroen Tromp. 2006

310 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/e9e733e3b47596b56ecd2ec2456567616ba8cb0f

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In Geophysics

Citations in the corpus

Seismic tomography of the southern California crust based on spectral‐element and adjoint methods (2010, background): “D models at regional (Liu & Tromp 2006) and global scales (Liu & Tromp 2008).”
Finite‐frequency tomography using adjoint methods—Methodology and examples using membrane surface waves (2007, methodology): “(Based upon this labelling, the classical tomographic examples in this paper are 0D–2D, whereas the adjoint tomographic examples are 2D–2D.) Presently, our SEM codes are set up to compute 3D–3D sensitivity kernels on both regional and global scales (Liu & Tromp 2006, 2007).”
Spectral-Element and Adjoint Methods in Seismology (2008, unknown): “Following [39], we minimize the misfit function (4.”
Resolution analysis in full waveform inversion (2011, methodology): “The most efficient approach involves a modification of the well-known adjoint method (e.g. Tarantola 1988; Tromp et al. 2005; Fichtner et al. 2006; Liu & Tromp 2006; Plessix 2006; Chen 2011) that allows us to compute H applied to a model perturbation δm, that is,∫ G H(x, y) δm(y) d3y (10) using two…”
Finite-frequency sensitivity kernels for global seismic wave propagation based upon adjoint methods (2008, methodology): “D earth models was demonstrated in Liu & Tromp (2006).”
Full 3D Tomography for the Crustal Structure of the Los Angeles Region (2007, methodology): “In general, they agree very well with the solutions determined using first-motion data by CISN (Hauksson, 2000), although some of them show significant differences (Zhao et al., 2006).”
Misfit functions for full waveform inversion based on instantaneous phase and envelope measurements (2011, methodology): “A Lagrange-multiplier approach for the derivation of the adjoint wavefield may be found in Liu & Tromp (2006) and Tromp et al. (2008).”
An anisotropic shear velocity model of the Earth's mantle using normal modes, body waves, surface waves and long-period waveforms (2014, methodology): “Modern numerical techniques, such as the spectral element method (e.g. Komatitsch et al. 2002), can theoretically attribute every portion of the seismogram to heterogeneity using adjoint methods (e.g. Tarantola 1984; Tromp et al. 2005; Liu & Tromp 2006, 2008).”
Seismic imaging: From classical to adjoint tomography (2012, methodology): “…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., 2007a; Fichtner et al., 2009b; Tape…”
Global adjoint tomography: first-generation model (2016, methodology): “…in gradient calculations used to be taking into account full attenuation, because the time-reversed reconstruction of the forward wavefield during the convolution with the adjoint wavefield is numerically unstable in the presence of dissipation, as described in detail in Liu & Tromp (2006).”