The exterior Airy/Heiskanen topographic–isostatic gravity potential, anomaly and the effect of analytical continuation in Stokes' formula
The exterior Airy/Heiskanen topographic–isostatic gravity potential, anomaly and the effect of analytical continuation in Stokes' formula
复制标题
外部艾里/海斯卡宁地形-等静重力势、异常以及斯托克斯公式中解析延拓的影响
DOI：
10.1007/s001900050205
复制
发表时间：
1998
影响因子：
4.4
通讯作者：
L. Sjöberg
中科院分区：
文献类型：
--
作者：
L. Sjöberg
抽象的。本研究涉及地形等静压势和重力异常的外部类型及其垂直导数，源自用于等静压补偿的 Airy/Heiskanen 模型。根据重力异常的一阶和二阶径向导数，应用斯托克斯公式估计重力向下延续到海平面对大地水准面的影响。地形的主要和区域影响为 H3 量级，估计在海平面上可以忽略不计，对大多数山脉来说影响不大，但对最高和最延伸的山带来说，影响为几米量级。另一种全局效应为 H 级，但不太显着
Abstract. This study deals with the external type of topographic–isostatic potential and gravity anomaly and its vertical derivatives, derived from the Airy/Heiskanen model for isostatic compensation. From the first and the second radial derivatives of the gravity anomaly the effect on the geoid is estimated for the downward continuation of gravity to sea level in the application of Stokes' formula. The major and regional effect is shown to be of order H3 of the topography, and it is estimated to be negligible at sea level and modest for most mountains, but of the order of several metres for the highest and most extended mountain belts. Another, global, effect is of order H but much less significant