Geodesic
Numerical solution of the inverse problem for a~system of elasticity with the aftereffect for a~vertically inhomogeneous medium
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 4 (2001) no. 3, pp. 259-268

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In this paper, the results of numerical solution of a 1-D inverse problem for a system of elasticity with the aftereffect for a vertically inhomogeneous medium are presented. The Boltzmann model is chosen to take into account the aftereffect. The purpose of the inverse problem is to reconstruct the longitudinal and transverse velocities by using the known longitudinal and transverse displacements at the surface. A series of model calculations is carried out, and the results of reconstructions of a velocity model of the medium typical for Western Siberia are presented. 
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     author = {A. L. Karchevsky and A. G. Fatianov},
     title = {Numerical solution of the inverse problem for a~system of elasticity with the aftereffect for a~vertically inhomogeneous medium},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
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A. L. Karchevsky; A. G. Fatianov. Numerical solution of the inverse problem for a~system of elasticity with the aftereffect for a~vertically inhomogeneous medium. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 4 (2001) no. 3, pp. 259-268. http://geodesic.mathdoc.fr/item/SJVM_2001_4_3_a3/