Abstract

The effect of topography on variations in baric tilts is analyzed for several cases. The baric field is assumed to be equilibrium. This means that the horizontal component of the atmospheric pressure gradient is zero (wind is excluded). The case of 2D low-angle topography is investigated. The small parameter method invented by S.M. Molodenskii to estimate the effect of a low-angle topography on tidal tilts and deformations is used. This method gives an approximate analytical solution of the problem. It turns out that the baric tilt represents the sum of two terms, which have opposite signs as a rule. The first term depends on the pressure at sea level; the second is governed by the vertical pressure gradient. The baric tilt is calculated for two types of 2D topography: a secluded low-angle hill (an isosceles triangle with small base angle) and a plateau (a trapezoid whose height is small compared to the base). It is shown that for values of the geometric parameters and elastic modulus of the Earth’s core close to the real ones, variations of tilts caused by baric field variations may be comparable to the amplitude of diurnal tidal waves.

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