Statistical Modeling of Characteristics of Scalar-Vector Sound Fields Generated in Layerly-Inhomogeneous Shallow Sea with Fluctuations

摘要

For shallow sea with layered random inhomogeneities of a medium the problem of a modeling of hydroacoustical fields being fluctuated is considered. These fields are of a local source and of the surface dynamic noises. Sound fields are considered in terms of a scalar-vector representation. Original linear acoustic equations have been reformulated into stochastic equations of an evolution type. Analytical-numerical method provides an effective procedure to calculate normal modes for the arbitrary impedance bottom conditions. In principle, this fact enables to carry out the statistical analysis under the diffusion approximation. Besides, we propose to solve the problem formulated without any approximations under the exact setting based on a statistical simulation method. This method allows the effective calculation of random wave field realizations both by modes and by integral Hankel representation. Sound-speed fluctuations of a water environment are considered. For local sound source, the power characteristicsof a pressure and oscillatory velocity components as well as the power flux density are analyzed.