Abstract

The topic of the article is estimation of effect of the two-dimensional relief on the temperature field in upper layer of the Earthʼs core. The situation in which the amplitude of the relief is comparable to the depth of the heated layer is determined. This depth is about ~3 m, if we are speaking about the yearlong mode. A perturbation theory is developed. An approximate solution to the heat equation is obtained: through integrals for an arbitrary relief and through elementary functions, if the line of the relief is a sine curve. The variation in temperature along fixed local depth lines is analyzed. It is shown that the amplitude of temperature oscillations takes the smallest value in points, located under the minima of the relief line.

中文翻译：

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由于地势起伏对地核上层温度场的修正：摄动理论

摘要

文章的主题是二维地形对地核上层温度场影响的估计。确定起伏的幅度与加热层的深度相当的情况。如果我们谈论的是全年模式，这个深度约为 3 m 。发展了微扰理论。获得热方程的近似解：通过任意浮雕的积分和基本函数（如果浮雕的线是正弦曲线）。分析了沿固定局部深度线的温度变化。结果表明，温度振荡幅值在位于起伏线极小值下方的点上取最小值。