Assessment of the amplitude of seiches generated by remote earthquakes in small inland water bodies

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The process of formation of seiche level oscillations initiated by remote earthquakes in small inland bodies of water is analyzed, and a method for estimating the amplitude of such oscillations is proposed. It is shown that to estimate the amplitude, a reservoir can be described by two parameters: horizontal extent and maximum period of natural oscillations. The method is based on an exact analytical solution of a one-dimensional problem within the framework of the linear theory of long waves. The method assumes knowledge of the horizontal components of seismic ground motions. For numerical calculations, the work used a record of the catastrophic earthquake in Turkey on February 6, 2023, obtained by a seismometer of the Department of Physics of the Earth, Faculty of Physics, Lomonosov Moscow State University (Moscow) at a distance of 2050 km from the epicenter. The efficiency of the method is confirmed by comparing analytical estimates with the results of two-dimensional numerical modeling conducted for a set of model basins of cylindrical shape and constant depth, as well as for reservoirs with bathymetry corresponding to real lakes. It has been shown that the earthquake in question in the water bodies of the Moscow region could have caused fluctuations in the water level with a range of up to 0.5 m.

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作者简介

D. Valeeva

Lomonosov Moscow State University

编辑信件的主要联系方式.
Email: dilaravn@mail.ru

Physical Faculty

俄罗斯联邦, Leninskie gory, 1, bld. 2, Moscow, 119991

М. Nosov

Lomonosov Moscow State University

Email: m.a.nosov@mail.ru

Physical Faculty

俄罗斯联邦, Leninskie gory, 1, bld. 2, Moscow, 119991

参考

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2. Fig. 1. Original and filtered accelerograms of the February 6, 2023 earthquake in Turkey

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3. Fig. 2. Spectral estimates of accelerograms of the February 6, 2023 earthquake in Turkey normalized to the maximum value. The original signal is the black curve, the filtered one is the red one. The filter cutoff frequency of "0.25 Hz" is marked in the figure

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4. Fig. 3. Distribution of maximum amplitudes (peak-to-peak) of seiche oscillations in cylindrical basins of constant depth. The parameters of the basins, as well as the values of the maxima along the basin mirror and at the water's edge are shown in the figure

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5. Fig. 4. Distribution of maximum amplitudes (peak-to-peak) of seiche oscillations in reservoirs (lakes) with natural bathymetry. The names of the lakes and the values of the maxima are shown in the figure. The isobaths are shown in black isolines, the numbers are the depth in meters

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6. Fig. 5. Maximum amplitude (span) of seiche oscillations normalized to the horizontal extent of the reservoir L, as a function of the maximum natural period of standing waves T0. Colored curves – calculation using the analytical one-dimensional model (channel). The color of the curves varies depending on the azimuthal angle of the channel orientation in accordance with the legend shown in the figure (numbers – angle in degrees). The results of two-dimensional numerical calculations are shown as black circles for cylindrical basins and triangles for lakes with natural bathymetry. Basin parameters and lake names are indicated above the points. Circles with black fill correspond to cases when the maximum at the water's edge coincides with the maximum on the mirror. Circles without fill show the value of the maximum reached at the water's edge.

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