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Zapiski Nauchnykh Seminarov POMI, 1999, Volume 257, Pages 101–115
(Mi znsl991)
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Numerical simulation of recovery of the velocity parameters of elastic inhomogeneities by diffraction tomography method
Yu. V. Kiselev, V. N. Troyan Saint-Petersburg State University
Abstract:
For the solution of direct problem the finite difference method is used, that allows to take into account the diffraction phenomenon on not weak-contrast local inhomogeneities with a simple and complex geometry. The inverse problem is solved by diffraction tomography method with the use of the Born approximation. The examples of recovery of inhomogeneities with the use of wave field (2-D $P$-$SV$ problem) produced in uniform space by a source of a type of center of pressure at three locations of a source and three observation points with their location on a linear profile are demonstrated. An opportunity to recover of elastic parameters $(\lambda,\mu)$ and mass density $\rho$ separately allows to find the velocity perturbations as well as ratio of shear wave velocity to compressional wave velocity.
Received: 07.10.1998
Citation:
Yu. V. Kiselev, V. N. Troyan, “Numerical simulation of recovery of the velocity parameters of elastic inhomogeneities by diffraction tomography method”, Mathematical problems in the theory of wave propagation. Part 28, Zap. Nauchn. Sem. POMI, 257, POMI, St. Petersburg, 1999, 101–115; J. Math. Sci. (New York), 108:5 (2002), 710–720
Linking options:
https://www.mathnet.ru/eng/znsl991 https://www.mathnet.ru/eng/znsl/v257/p101
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Abstract page: | 160 | Full-text PDF : | 54 |
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