OPTIMIZATION INVERSION OF SEISMIC DATA FROM LAYERED MEDIA: AN ALGORITHM FOR GRADIENT
E. Kurpinar and A.L. Karchevsky*
Mathematics Department, Science Faculty, Ege University, 35100 Bornova, Izmir, Turkey
* Sobolev Institute of Mathematics, Siberian Branch of the RAS,
4 prosp. Akad. Koptyuga, Novosibirsk, 630090, Russia
Keywords: System of elasticity, inverse problem, residual functional gradient, layered medium, differential matrix Riccati equation
Pages: 437-445
Subsection: GEOPHYSICS
Abstract
A new analytical algorithm for the gradient of residual functionals is applied to numerical inversion of seismic data from horizontally layered media. The algorithm works for any linear differential equation and second-order system where the coefficients are piecewise constant functions. It is advantageous due to its plain logic and easily programmable formalism.
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