Wave Disturbances from Localized Sources at the Ice–Water Environment Boundary

Vitaliy Bulatov; Igor Y. Vladimirov

doi:10.2205/2026es001148

VAK Russia 1.6 UDC 55 CSCSTI 37.01 Russian Classification of Professions by Education 05.00.00 Russian Library and Bibliographic Classification 26 Russian Trade and Bibliographic Classification 63 BISAC SCI UDC 550.34 UDC 550.383 CSCSTI 37.15 CSCSTI 37.25 CSCSTI 37.31 CSCSTI 38.01 CSCSTI 36.00 CSCSTI 37.00 CSCSTI 38.00 CSCSTI 39.00 CSCSTI 52.00

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WAVE DISTURBANCES FROM LOCALIZED SOURCES AT THE ICE–WATER ENVIRONMENT BOUNDARY Wave Disturbances from Localized Sources at the Ice–Water Environment Boundary

АА Аа

Published in Russian Journal of Earth Sciences · Volume 26, Issue 4 · ELocator: ES4004 · Rubric: ORIGINAL ARTICLES

DOI: https://doi.org/10.2205/2026es001148 · EDN: ONOSKA

Received: 04.06.2026 Accepted: 14.07.2026 Published: 20.10.2026 Language of publication: ENG

Authors

Vitaliy Bulatov

ORCID

Igor Y. Vladimirov

ORCID

Vitaliy Bulatov

Academic degree: doctor of physical and mathematical sciences

Ishlinsky Institute for Problems in Mechanics RAS leading researcher · Russian Federation · Moscow

ORCID

Igor Y. Vladimirov

P.P.Shirshov Institute of Oceanology of the Russian Academy of Science Moscow

ORCID

ABSTRACT

Floating ice cover determines dynamic interaction between the ocean and the atmosphere, influencing the dynamics of the sea surface and subsurface waters, as the ice cover and the entire mass of water beneath it participate in the overall vertical motion. This paper examines the amplitude-phase structure of wave fields arising at the interface between ice and homogeneous water of finite thickness, generated by moving and stationary localized disturbance sources. The ice cover is modeled as a thin elastic plate with small deformations, while the plate is physically linear. Integral representations of the solution are obtained in the linear approximation, and the results of dispersion relations and phase patterns are presented for various wave generation parameters. It is shown that the main parameters determining the characteristics of the amplitude-phase structure of wave disturbances on the ice surface are ice thickness, velocity of the wave source, and oscillation frequency. Numerical calculations demonstrate that changes in source velocity, ice thickness, and oscillation frequency lead to a noticeable qualitative restructuring of the phase patterns of the excited far-field wave fields at the ice–water interface. The wave pattern of disturbances far from the appearing source of disturbances is a wave system of long- and short-wave packets, with shorter waves traveling at higher velocities and longer wave trains propagating at slower velocities. The spatial and temporal evolution of wave packets of ice surface disturbances propagating from the appearing source of disturbances is investigated.

KEYWORDS

ice cover, interface elevation, dispersion dependencies, amplitude-phase structure, localized source

Funding

This research was supported by the State Assignment [Project No. FFGN2024-0005] (V. V. Bulatov: problem formulation, writing, discussion of results) and the Russian Science Foundation [Grant No. 26-17-00013] (I. Yu. Vladimirov: construction of a mathematical model, numerical calculations, asymptotic analysis, verification, comparison with natural data).

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GOST

Bulatov V. V., Vladimirov I. Y. Wave Disturbances from Localized Sources at the Ice–Water Environment Boundary // Russian Journal of Earth Sciences. 2026. no. 4. ES4004. DOI: https://doi.org/10.2205/2026es001148. EDN: ONOSKA. (Date of access 21.10.2026).

MLA

Vitaliy Bulatov, Vladimirov I. Y.. "Wave Disturbances from Localized Sources at the Ice–Water Environment Boundary." Russian Journal of Earth Sciences 26.4 (2026): ES4004. DOI: https://doi.org/10.2205/2026es001148. EDN: ONOSKA.

APA

Bulatov V. V., Vladimirov I. Y. (2026). Wave Disturbances from Localized Sources at the Ice–Water Environment Boundary. Russian Journal of Earth Sciences, 26(4), ES4004. https://doi.org/10.2205/2026es001148 EDN: ONOSKA.

Chicago

Vitaliy Bulatov, Vladimirov I. Y.. "Wave Disturbances from Localized Sources at the Ice–Water Environment Boundary." Russian Journal of Earth Sciences 26, no. 4 (2026): ES4004. https://doi.org/10.2205/2026es001148. EDN: ONOSKA.

WIKI

{{cite journal | author = Bulatov V. V., Vladimirov I. Y. | title = Wave Disturbances from Localized Sources at the Ice–Water Environment Boundary | journal = Russian Journal of Earth Sciences | year = 2026 | volume = 26 | issue = 4 | pages = ES4004 | doi = 10.2205/2026es001148 }} EDN: ONOSKA

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WAVE DISTURBANCES FROM LOCALIZED SOURCES AT THE ICE–WATER ENVIRONMENT BOUNDARY Wave Disturbances from Localized Sources at the Ice–Water Environment Boundary

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