Inverse scattering series and seismic exploration
Citations
411 citations
Cites background from "Inverse scattering series and seism..."
...medical imaging of tissues [11] or seismic exploration [98, 114, 123, 130, 136, 140]....
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191 citations
Cites background or methods from "Inverse scattering series and seism..."
...Rodberg and Thaler, 1967; Weglein et al., 2003"....
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...In fact, equation 13 is a Born-like approximation !e.g., Born and Wolf, 1959; Weglein et al., 2003" of equation 10....
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...Forward- and inverse-scattering series serve, for instance, as the basis for methodologies in imaging and multiple suppression !e.g., Weglein et al., 2003; Malcolm et al., 2004"....
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...Using a combination of perturbation theory and representation theorems !as in Vasconcelos, 2007", we first review interferometry by correlations....
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...Weglein et al., 2003; Vasconcelos, 2007", such that the quantities G0 and G !...
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177 citations
106 citations
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Cites background from "Inverse scattering series and seism..."
...Several hierarchical methods that invert from low frequencies to higher frequencies have been proposed in literature to mitigate the cycle skipping of the inverse problem (Kolb et al., 1986; Pratt and Worthington, 1990; Bunks et al., 1995; Weglein et al., 2003; Sirgue and Pratt, 2004)....
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References
4,044 citations
"Inverse scattering series and seism..." refers background in this paper
...Although 2D and 3D closed form complete integral equation solutions exist for the Schrödinger equation (see [6]), there is no analogous closed form complete multi-dimensional inverse solution for the acoustic or elastic wave equations....
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1,285 citations
1,164 citations
"Inverse scattering series and seism..." refers methods in this paper
...For the simple horizontal reflector between two elastic halfspaces, that forward non-linear relationship is expressed by the Zoeppritz equations (see [47])....
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740 citations
710 citations