Integration of airborne gravimetry data filtering into residual least-squares collocation: example from the 1 cm geoid experiment
Integration of airborne gravimetry data filtering into residual least-squares collocation: example from the 1 cm geoid experiment
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DOI：
10.1007/s00190-020-01396-2
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发表时间：
2020-08
影响因子：
4.4
通讯作者：
M. Willberg;P. Zingerle;R. Pail
中科院分区：
文献类型：
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作者：
M. Willberg;P. Zingerle;R. Pail
低通滤波器通常用于处理航空重力观测。在本文中，第一次，我们包括由此产生的相关性一致的功能和随机模型的剩余最小二乘配置。本文论证了从航空重力观测数据中去除高频噪声的必要性，并导出了高斯低通滤波器的相应参数。因此，我们打算在科罗拉多山区地面和航空重力观测的最佳组合。我们验证的框架中，我们参与的“1厘米大地水准面实验”的组合。这一区域大地水准面建模相互比较工作允许计算参考解，该参考解被定义为该区域13个独立高度异常结果的平均值。我们的结果表现最好，7.5 mm显示了与参考的最低标准差。从内部验证，我们还得出结论，从空中和地面重力观测的输入是一致的，在大部分的目标地区，但不一定在高山地区。因此，这两个数据集之间的相对权重被证明是最终结果的主要驱动因素，并且是解释本实验中各种高度异常结果之间剩余差异的重要因素。
Low-pass filters are commonly used for the processing of airborne gravity observations. In this paper, for the first time, we include the resulting correlations consistently in the functional and stochastic model of residual least-squares collocation. We demonstrate the necessity of removing high-frequency noise from airborne gravity observations, and derive corresponding parameters for a Gaussian low-pass filter. Thereby, we intend an optimal combination of terrestrial and airborne gravity observations in the mountainous area of Colorado. We validate the combination in the frame of our participation in ‘the 1 cm geoid experiment’. This regional geoid modeling inter-comparison exercise allows the calculation of a reference solution, which is defined as the mean value of 13 independent height anomaly results in this area. Our result performs among the best and with 7.5 mm shows the lowest standard deviation to the reference. From internal validation we furthermore conclude that the input from airborne and terrestrial gravity observations is consistent in large parts of the target area, but not necessarily in the highly mountainous areas. Therefore, the relative weighting between these two data sets turns out to be a main driver for the final result, and is an important factor in explaining the remaining differences between various height anomaly results in this experiment.