MATHEMATICAL MODELING OF SEISMIC VIBRATIONS OF THE DAM AND UNDERFOUNDATION LAYERS OF THE SOIL MASSIF TAKING INTO ACCOUNT THE INFLUENCE OF WATER IN THE RESERVOIR

  • I.D. Muzaev Geophysical institute VSC RAS, Russia, 362002, RNO-Alania, Vladikavkaz, Markov st., 93a; Vladikavkaz branch of the Federal State Budget Institution of Higher Education «Financial University under the Government of the Russian Federation», Russia, 362002, Vladikavkaz, Molodezhnaia st., 7;
  • C.S. Kharebov Geophysical institute VSC RAS, Russia, 362002, RNO-Alania, Vladikavkaz, Markov st., 93a
  • N.I. Muzaev Geophysical institute VSC RAS, Russia, 362002, RNO-Alania, Vladikavkaz, Markov st., 93a
Keywords: dam, reservoir, the contact boundary value problem, seismic vibrations, mathematical model

Abstract

The mathematical model of the co-seismic vibrations of high-pressure dams, reservoirs and two layers of soil under the foundations of the dam and reservoir is created. The model represents the contact boundary value problem of mathematical physics which takes into account the interdependence of oscillatory processes in soil, in the dam and in the reservoir during the propagation of harmonic seismic waves in the system under consideration. As a result of solving the tasks the formulae are derived to calculate the relative amplitudes of the oscillations of the top and the base of the dam.
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Published
2017-07-04
Issue
Vol 7 No 2 (2017): Geology and Geophysics of the South of Russia, 2017 No 2
Section
Articles