Seismic tomography, adjoint methods, time reversal and banana-doughnut kernels

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Seismic tomography, adjoint methods, time reversal, and banana-doughnut kernels

S U M M A R Y We draw connections between seismic tomography, adjoint methods popular in climate and ocean dynamics, time-reversal imaging and finite-frequency ‘banana-doughnut’ kernels. We demonstrate that Fréchet derivatives for tomographic and (finite) source inversions may be obtained based upon just two numerical simulations for each earthquake: one calculation for the current model and a ...

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Construction of finite-frequency kernels using adjoint methods

This chapter contains excerpts from “Seismic tomography, adjoint methods, time reversal, and banana-doughnut kernels,” by Jeroen Tromp, Carl Tape, and Qinya Liu. My primary contribution to this study was to adapt a 2D SEM wave propagation code to construct finitefrequency kernels. In a series of numerical experiements, I illustrated the formation of finitefrequency sensitivity kernels via the i...

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Finite-Frequency Kernels Based on Adjoint Methods

We derive the adjoint equations associated with the calculation of Fréchet derivatives for tomographic inversions based upon a Lagrange multiplier method. The Fréchet derivative of an objective function v(m), where m denotes the Earth model, may be written in the generic form dv Km(x) d ln m(x) d x, where d ln m dm/m denotes the relative model perturbation and Km the associated 3D sensitivity o...

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Seismic tomography of the southern California crust based on spectral-element and adjoint methods

Carl Tape,1∗ Qinya Liu,2 Alessia Maggi3 and Jeroen Tromp4 1Seismological Laboratory, California Institute of Technology, Pasadena, CA 91125, USA. E-mail: [email protected] 2Department of Physics, University of Toronto, ON, Canada 3Institut de Physique du Globe, Université de Strasbourg, Strasbourg, France 4Department of Geosciences and Program in Applied & Computational Mathematics, Prin...

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ژورنال

عنوان ژورنال: Geophysical Journal International

سال: 2004

ISSN: 0956-540X,1365-246X

DOI: 10.1111/j.1365-246x.2004.02453.x