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Two different methodologies for geoid determination from ground and airborne gravity data

机译:从地面和空中重力数据确定大地水准面的两种不同方法

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摘要

In this study, two methodologies are investigated for geoid determination from ground and airborne gravity data. These two methodologies depend on the downward continuation method used. The first is the inverse Poisson integral; the second is the normal free-air gradient. Each of the two methods requires different treatment of the terrain effects and in turn different approaches to determine the geoid. The two geoid solutions, from ground data, are compared with existing GPS/levelling benchmarks and it is found that the second method gives a better fit due to the bias introduced from the inverse Poisson integral. The same process was applied to the airborne data, but with additional processing, that is the filtering of the terrain effects to preserve the consistency of the data due to the filtering of the airborne data. A study on the effect of filtering was also carried out in this paper and it concluded that filtering the terrain effects has no impact on the geoid. In addition, the airborne data, filtered to three different cut-off frequencies, were used to compute the geoid to investigate the possibility of using the denser data, of lower accuracy, to determine a high-resolution geoid. Even though the data filtered to small cut-off frequency have poorer agreement with the ground data, the geoids computed from the different filtered data is the nearly the same
机译:在这项研究中,研究了两种从地面和空中重力数据确定大地水准面的方法。这两种方法取决于所使用的向下延续方法。第一个是逆泊松积分;第二个是逆泊松积分。第二个是正常的自由空气梯度。两种方法都需要对地形影响进行不同的处理,进而需要不同的方法来确定大地水准面。将来自地面数据的两个大地水准面解决方案与现有的GPS /水准测量基准进行了比较,发现由于泊松逆积分引入的偏差,第二种方法具有更好的拟合度。将相同的过程应用于机载数据,但是进行了额外的处理,即对地形影响进行过滤,以保留由于机载数据过滤而导致的数据一致性。本文还对滤波效果进行了研究,得出的结论是,滤波地形影响对大地水准面没有影响。此外,使用过滤到三个不同截止频率的机载数据来计算大地水准面,以研究使用精度较低的密度更高的数据来确定高分辨率大地水准面的可能性。即使以较小的截止频率过滤的数据与地面数据的一致性较差,但从不同的过滤数据计算出的大地水准面几乎相同

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