Abstract
The inverse dynamic problem for the wave equation in the class of vertically inhomogeneous media is considered in this paper. It is required to determine the unknown wave propagation velocity c(z). Solution of this problem is sought for as the minimum point of the data misfit functional. Stability of the minimum point is analyzed depending on the initial approximation and ranges of spatial and time frequencies. The results of numerical experiments for two models are given.
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© 1990 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig
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Avdeev, A.V. (1990). An Optimizational Method for Solving the Inverse Dynamic Problem for the Wave Equation in the Class of Vertically Inhomogeneous Media: Numerical Modeling. In: Vogel, A., Ofoegbu, C.O., Gorenflo, R., Ursin, B. (eds) Geophysical Data Inversion Methods and Applications. Theory and Practice of Applied Geophysics. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-89416-8_27
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DOI: https://doi.org/10.1007/978-3-322-89416-8_27
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-528-06396-2
Online ISBN: 978-3-322-89416-8
eBook Packages: Springer Book Archive