2004/11/01 by В. В. Булатов, Vitaly V. Bulatov, Bulatov, Vitaly V. +4
Earth and Planetary Sciences · Environmental Science · Physics and Astronomy · #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Geological formations and processes #Methane Hydrates and Related Phenomena #Oceanographic and Atmospheric Processes #physics.flu-dyn
paper · pdf · doi:10.48550/arxiv.physics/0411016
22 pages, 3 figures
arxiv created 2004/11/01 · openalex publication_date 2004/11/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The far field asymptotic of internal waves is constructed for the case when a point source of mass moves in a layer of arbitrarily stratified fluid with slowly varying bottom. The solutions obtained describe the far field both near the wave fronts of each individual mode and away from the wave fronts and are expansions in Airy or Fresnel waves with the argument determined from the solution of the corresponding eikonal equation. The amplitude of the wave field is determined from the energy conservation law along the ray tube. For model distributions of the bottom shape and the stratification describing the typical pattern of the ocean shelf exact analytic expressions are obtained for the rays, and the properties of the phase structure of the wave field are analyzed.