Geodesic
On one solution method of the seismic tomography problems
Matematičeskoe modelirovanie, Tome 18 (2006) no. 7, pp. 101-114

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Based on tomographic approach the solution of seismology inverse kinematic problem is proposed in the article. Considered approach on the one hand is based on the regularity of rays field on the other hand permits to avoid the system of straight lines that is used in Radon's tomography. For finding the geomedium velocity model the method of nonlinear equation linearization is applied. By analogy with the solution of Radon's problem using the projection theorem the numerical algorithm is defined. In case of homogeneous medium this algorithm have all the properties of projection scheme. Two computational experiments of vertical seismic profiling and crosswell tomography modeling were performed for verification of proposed method. 
@article{MM_2006_18_7_a8,
     author = {N. V. Kutsenko},
     title = {On one solution method of the seismic tomography problems},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {101--114},
     publisher = {mathdoc},
     volume = {18},
     number = {7},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2006_18_7_a8/}
}
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N. V. Kutsenko. On one solution method of the seismic tomography problems. Matematičeskoe modelirovanie, Tome 18 (2006) no. 7, pp. 101-114. http://geodesic.mathdoc.fr/item/MM_2006_18_7_a8/