Journal of Mathematical Sciences

, Volume 108, Issue 5, pp 710–720 | Cite as

Numerical Simulation of the Reconstruction of the Velocity Parameters of Elastic Inhomogeneities by the Method of Diffraction Tomography

  • Yu. V. Kiselev
  • V. N. Troyan


In order to solve the direct problem, the finite-difference method is used, which enables us to take diffraction into account by not weakly contrasting local inhomogeneities with simple or complicated geometry. The inverse problem is solved by the method of diffraction tomography with the use of the Born approximation. Examples of the recovery of parameters of inhomogeneities are given. Here we use wave fields (the 2-D PSV problem) excited by a source of the type of a center of pressure in a homogeneous space for three positions of a source and for three observation points located on a linear profile. The possibility of separately recovering the elastic parameters (λ,μ) and the mass density ρ is shown, which enables us to find both the velocity perturbation and the ratio of the velocities of the shear and compressional waves. Bibliography: 14 titles.


Inverse Problem Compressional Wave Mass Density Observation Point Wave Field 
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© Plenum Publishing Corporation 2002

Authors and Affiliations

  • Yu. V. Kiselev
  • V. N. Troyan

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