Kazantsev I.  

Iterative techniques of inversion of the Radon transform in a strip for reconstruction of mud volcano structure

The paper presents the results of using iterative methods for reconstructing the mud volcano Karabetova structure. Classical methods of reconstruction work well in conditions of a large amount of projection data, which have regularity, that is, the uniformity of sampling over viewing angles and the space of detectors. From the point of view of the wave theory underlying the modeling of the formation of recorded signals from sources, we consider a simplified linearized direct problem, with data in the form of integrals over rays. The geometry of the collection of geophysical data of the volcanic vibrational transmission allows modeling the problem of restoring velocity profiles of near-surface volumes in the form of a Radon transformation in a strip on one side of which sources are located, on the other side receivers. However, a small number of samples does not allow the use of analytical methods for inversion of the Radon transform [1]. Therefore, the reconstruction is based on algebraic methods that use the minimization of total variation. The reconstruction results are illustrated. The work was supported by the Russian Foundation for Basic Research (project code 16-07-00066).
1. Goldin SV To the theory of beam seismic tomography: Radon transformation in the strip and its inversion // Geology and geophysics. 1996. Vol. 37, No. 5. P. 3-18.

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