Mathematical Modeling of Acoustic Fields in the Black Sea

This chapter delves into the mathematical modeling of acoustic fields in the Black Sea, focusing on the influence of seasonal variations and geoacoustic properties. The study introduces a non-uniform acoustic waveguide model that considers the Black Sea's unique characteristics, including the seasonal variability in the upper water layer and the geoacoustic properties of the bottom sediments. The model employs the normal mode method to construct sound potential functions in both water and elastic layers, leading to a dispersion equation for determining complex eigenvalues. The text also explores the construction of approximating functions for the sound velocity profile, which is crucial for solving direct and inverse problems of sound propagation. Numerical results are presented to illustrate the model's applicability, showing how variations in the thickness of liquid and elastic sediment layers affect the waveguide's characteristics. The chapter concludes with insights into the influence of elastic layers on sound losses and the distribution of sound pressure, providing a comprehensive understanding of sound propagation in the Black Sea.