Fréchet kernels for finite-frequency traveltimes—I. Theory

By Francis Anthony Dahlen, S.-H. Hung, Guust Nolet. 2000

673 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/659871bea1f832ae7cfea861869a043f6eaba3fc

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geophysics

Citations in the corpus

An anisotropic shear velocity model of the Earth's mantle using normal modes, body waves, surface waves and long-period waveforms (2014, background): “Recent theoretical approaches also take into account volumetric sensitivity for body waves (Dahlen et al. 2000; Zhao et al. 2000) and surface waves (Li & Romanowicz 1995; Marquering et al. 1996; Yoshizawa & Kennett 2002b; Peter et al. 2007; Lin et al. 2010).”
Full 3D Tomography for the Crustal Structure of the Los Angeles Region (2007, methodology): “…shift DT of an isolated waveform is estimated using the location of the cross-correlagram peak (Luo and Shuster, 1991; Woodward and Masters, 1991; Dahlen et al., 2000; Zhao et al., 2000) and the amplitude anomaly can be determined from the maximum amplitudes of the crosscorrelagrams (Dahlen and…”
Model parametrization in seismic tomography: a choice of consequence for the solution quality (2001, background): “Ray tubes or fat rays approximating the first Fresnel volume (e.g. Marquering et al., 1999; Dahlen et al., 2000; Husen and Kissling, 2001) denotes one step away from pure ray geometry toward waves.”
Frechet Kernels for Imaging Regional Earth Structure Based on Three-Dimensional Reference Models (2005, neutral): “The phase-delay kernels also exhibit typical banana-doughnut shape (Dahlen et al., 2000; Hung et al., 2000; Zhao et al., 2000) with diminishing amplitude along the ray paths.”
Inferring upper-mantle structure by full waveform tomography with the spectral element method (2011, methodology): “Even methods that include finite-frequency effects through single-scattering approximations (e.g. Dahlen et al. 2000; Zhou et al. 2006) are not accurate in modelling the effects of large anomalies (see Panning et al. 2009), which, due to the red spectrum of mantle heterogeneity (Su & Dziewonski…”
Full seismic waveform tomography for upper-mantle structure in the Australasian region using adjoint methods (2009, background): “Several authors have derived Fréchet kernels for measurements at finite frequencies (e.g. Yomogida 1992; Friederich 1999; Dahlen et al. 2000; Yoshizawa & Kennett 2005), which have been successfully incorporated into seismic inverse problems (e.g. Friederich 2003; Yoshizawa & Kennett 2004; Sigloch…”
Three‐dimensional sensitivity kernels for surface wave observables (2004, background): “D ‘banana–doughnut’ kernels for the cross-correlation traveltimes of body waves, which exhibit zero traveltime sensitivity and maximal amplitude sensitivity along the geometrical ray (Dahlen et al. 2000; Dahlen & Baig 2002).”
Global P and PP traveltime tomography: rays versus waves (2004, methodology): “Dahlen et al. (2000) provide an alternative procedure to economically compute the Fréchet kernel of a finite-frequency traveltime measured by cross-correlation of a broad-band waveform with a spherical-Earth synthetic seismogram.”
Determination of the influence zone for surface wave paths (2002, neutral): “D sensitivity kernels (Marquering et al. 1998, 1999; Dahlen et al. 2000; Hung et al. 2000; Zhao et al. 2000).”
Finite‐frequency tomography using adjoint methods—Methodology and examples using membrane surface waves (2007, methodology): “Taking into account finite-frequency effects, Marquering et al. (1999), Zhao et al. (2000) and Dahlen et al. (2000) demonstrate that the traveltime anomaly may alternatively be related to relative wave speed perturbations based upon a finite-frequency sensitivity kernel K i (x) for the ith…”
Global adjoint tomography: first-generation model (2016, background): “Common measures of misfit include cross-correlation traveltime measurements (e.g. Luo & Schuster 1991; Marquering et al. 1999; Dahlen et al. 2000; Zhao et al. 2000), multitaper phase measurements (e.g. Zhou et al. 2004), relative amplitude variations (e.g. Dahlen & Baig 2002; Ritsema et al. 2002),…”
S40RTS: A degree-40 shear-velocity model for the mantle from new Rayleigh wave dispersion, teleseismic traveltime and normal-mode splitting function measurements (2011, background): “…of waves with finite wavelengths, new theoretical approaches allow us to invoke volumetric rather than ray-based, sensitivity kernels for body waves (Dahlen et al. 2000; Nolet & Dahen 2000; Zhao et al. 2000) and surface waves (Li & Romanowicz 1995; Marquering et al. 1996; Yoshizawa & Kennett 2002).”
Imaging seismic velocity structure beneath the Iceland hot spot: A finite frequency approach (2004, methodology): “…incorporates the contribution from forward scattering paths of the same type as the unperturbed ray yields a computationally efficient formulation [Dahlen et al., 2000]: K ¼ 1 2pc R crR0R00 Z 1 0 w3jssyn wð Þj2 sin wDTð Þ dwZ 1 0 w2jssyn wð Þj2dw ; ð3Þ where quantity DT is the additional travel…”