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.

中文翻译：

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地球表面元素的倾斜倾斜的两个组成部分：低角度地形的情况

摘要

在几种情况下，分析了地形对气压倾斜变化的影响。假定平衡场是平衡的。这意味着大气压力梯度的水平分量为零（不包括风）。研究了二维低角度地形的情况。使用SM Molodenskii发明的小参数方法来估计低角度地形对潮汐倾斜和变形的影响。该方法给出了该问题的近似解析解。事实证明，斜率表示两个项的总和，它们通常具有相反的符号。第一项取决于海平面的压力。第二个是由垂直压力梯度决​​定的。对于两种类型的2D地形，计算了倾斜倾斜：偏僻的低角度丘陵（等腰三角形，底角较小）和高原（梯形，其高度比底面小）。结果表明，对于接近真实值的地核几何参数和弹性模量值，由气压场变化引起的倾斜变化可能与昼夜潮汐波幅相当。