Abstract
The use of gradient methods of optimization allows to solve large-sized least squares inverse problems iteratively. In travel time inversion, each iteration consists on a back-projection of the travel time residuals. In waveform inversion, each iteration consists on a back-propagation of the waveform residuals. This chapter reviews methods developed by the author. Least-squares concepts are emphasized, at the expense of algorithmic details.
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© 1987 D. Reidel Publishing Company
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Tarantola, A. (1987). Inversion of travel times and seismic waveforms. In: Nolet, G. (eds) Seismic Tomography. Seismology and Exploration Geophysics, vol 5. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3899-1_6
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DOI: https://doi.org/10.1007/978-94-009-3899-1_6
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-277-2583-7
Online ISBN: 978-94-009-3899-1
eBook Packages: Springer Book Archive