Computational kinematic diagnostics of media with the possibility of linearizing the probing signal velocity in the context of a tomographic experiment

The paper addresses the inverse kinematic problem, which is one of the primary problems of the "Theory of Wave Propagation", formulated in a manner that reduces it to classical computational tomography. The completeness of tomographic (projection) data is ensured by positioning the sources and receivers of the probing signal on a circle lying in the plane Z = 0 of the Euclidean space (X Y Z). Mathematically, this formulation is classified as "weakly ill-posed" (according to the domestic classification of mathematical physics problems), which makes the solution unique and enhances the reliability of the interpretation. The paper presents the problem statement, the construction of the solution, the computational algorithm, and the results of numerical simulations. In the context of seismic-acoustic studies, the possibilities and prospects of applying the obtained results are discussed. Contribution of the authors: the authors contributed equally to this article. The authors declare no conflicts of interests.

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