STABILITY OF MODE TOMOGRAPHY PROBLEM IN CASE OF LIMITED DATA SET

摘要

The results of modeling of tomographic scheme are presented in the report. Used scheme develops the approach that was considered in. The base is the mode representation of sound field in moving, consequently, anisotropic oriented media. The ocean waveguide becomes an oriented media if there are internal flows in it. In such situation the boundary problem for this media provides anisotropic relative to the flow direction eigenvalues and eigenfunctions spectrum. "Vertical modes - horizontal rays" approach was used in modeling. It allowed to calculate time delays for propagation of each mode for every pair "source - receiving vertical antenna" in the investigated volume that contains kinetic inhomogeneities (velocity vectors with two simple vertical profiles). The results of computer modeling of this tomographic problem are represented. The special attention is spared to the investigation of the stability of the solution in case of limited space-frequency data set and for moving ocean model with low number of parameters. The result is enough realistic scheme for purposes of practical application.