Finite‐frequency tomography using adjoint methods—Methodology and examples using membrane surface waves

By C. Tape, Qinya Liu, Jeroen Tromp. 2007

182 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/e74bb140c3015cab6d875901a75fae4df90f16ae

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In Geophysics

Citations in the corpus

Spectral-Element and Adjoint Methods in Seismology (2008, unknown): “Recently, [61] successfully applied the adjoint approach in conjunction with a conjugate gradient method in a 2D surface wave study, and [2] used a similar technique for a 3D regional wave propagation problem.”
Seismic tomography of the southern California crust based on spectral‐element and adjoint methods (2010, methodology): “We use the term ‘adjoint tomography’ (Tape et al. 2007) for any tomographic inverse problem that employs adjoint methods (e.g. Tarantola 1984; Mora 1987; Luo & Schuster 1991; Igel et al. 1996; Pratt et al. 1998; Akçelik et al. 2003); see Tromp et al. (2005) and Virieux & Operto (2010) for additiona”
Hessian kernels of seismic data functionals based upon adjoint techniques (2011, methodology): “…(e.g. Bamberger et al. 1982; Gauthier et al. 1986) have been replaced by pre-conditioned conjugate-gradient algorithms (e.g. Mora 1987, 1988; Tape et al. 2007; Fichtner et al. 2009) and Newton-like methods (including Gauss–Newton and Levenberg–Marquardt) that use the approximate Hessian…”
Seismic imaging: From classical to adjoint tomography (2012, background): “…and transmitted to focus back at either original source locations or possible locations of model inadequacy, data residuals at seismic stations can now be timereversed to obtain updates on earthquake source parameters based on 3D background models (Hjörleifsdóttir, 2007; Tape et al., 2007).”
Theoretical background for continental‐ and global‐scale full‐waveform inversion in the time–frequency domain (2008, methodology): “Algorithms that have proved to be efficient include the method of steepest descent (e.g. Tarantola 1984; Gauthier et al. 1986) and variants of the conjugate gradient method (e.g. Mora 1987, 1988; Tape et al. 2007).”
Full seismic waveform tomography for upper-mantle structure in the Australasian region using adjoint methods (2009, methodology): “We note that alternative approaches to the solution of the nonlinear inverse problem may be found in Geller & Hara (1993), Pratt (1999) or Tape et al. (2007).”
Finite-frequency sensitivity kernels for global seismic wave propagation based upon adjoint methods (2008, methodology): “Although an expression for the Hessian of the misfit function can be obtained in a similar manner, as shown by Tape et al. (2007) , individual banana‐doughnut kernels Gik = � V Ki Bk d3r have to be generated, meaning every K i has to be computed and stored separately,”
Finite-Frequency Kernels Based on Adjoint Methods (2006, background): “Both conjugate gradient approaches are discussed in detail for 2D problems in Tape et al. (2006).”
Global adjoint tomography: first-generation model (2016, methodology): “Once we establish the search direction, we use a line search to determine the step length for the model update, as described in Tape et al. (2007).”