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首页> 外文会议>Gravity, Geoid and Space Missions: GGSM 2004; International Association of Geodesy Symposia; vol.129 >A comparison of different isostatic models applied to satellite gravity gradiometry
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A comparison of different isostatic models applied to satellite gravity gradiometry

机译：应用于卫星重力梯度测量的不同等静模型的比较

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摘要

In satellite gradiometry, the gravitational signals originating from the Earth's topography and its isostatic compensation can be recognized in the gravity gradients observed along the satellite orbit. One general task should be the reduction of these effects to produce a smooth gravity field suitable for downward continuation. Based on different isostatic models such as the Airy-Heiskanen model, the Pratt-Hayford model, the combination of the Airy-Heiskanen model (land area) and the Pratt-Hayford model (ocean area), and the generalized Helmert model, the topographic-isostatic effects are calculated for a GOCE-like satellite orbit. For the second vertical (radial) derivative of the gravitational potential the order of magnitude of both topographic and isostatic components amounts to about 10 E.U. while the combined topographic-isostatic effect reduces to about 1 E.U.. In this paper, the focus lies on the comparison between the classical isostatic models and the generalized Helmert model, consistently using a rigorous spherical formulation for all models. By variation of the depth of the condensation layer, it is possible to demonstrate that the classical isostatic models become equivalent to the Helmert model related to a specific condensation depth d. E.g., the standard Airy-Heiskanen model related to a normal crustal thickness T = 25 km is best approximated using the compensation depth d = 24 km in the generalized Helmert model. Instead of the conventional remove-restore techniques which lead to high numerical efforts, the use of the generalized Helmert model is recommended.
机译：在卫星梯度法中，可以在沿卫星轨道观测到的重力梯度中识别出源自地球地形及其等静补偿的重力信号。一个一般的任务应该是减少这些影响，以产生适合向下连续的平滑重力场。基于不同的等静模型，例如Airy-Heiskanen模型，Pratt-Hayford模型，Airy-Heiskanen模型（陆地区域）和Pratt-Hayford模型（海洋区域）的组合，以及广义Helmert模型，地形对类似GOCE的卫星轨道计算出-等静效应。对于引力势的第二个垂直（径向）导数，形貌分量和等静力分量的数量级都约为10E.U。而组合的地形等静压效应降低到大约1 E.U.。在本文中，重点放在经典等静压模型与广义Helmert模型之间的比较上，所有模型始终使用严格的球形公式。通过冷凝层深度的变化，可以证明经典的等静压模型等效于与特定冷凝深度d有关的Helmert模型。例如，与标准地壳厚度T = 25 km有关的标准Airy-Heiskanen模型最好使用广义Helmert模型中的补偿深度d = 24 km进行近似估算。建议使用广义的Helmert模型，而不是使用常规的删除/恢复技术来进行大量的数值工作。

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