Sensitivity analysis of gravity anomalies and vertical gravity gradient data for bathymetry inversion

Sensitivity analysis of gravity anomalies and vertical gravity gradient data for bathymetry inversion
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测深反演重力异常和垂直重力梯度数据敏感性分析

DOI:
10.1007/s11001-018-9361-8
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发表时间:
2018-06
期刊:
Marine Geophysical Researches
影响因子:
--
通讯作者:
Jin Shuanggen
Jin Shuanggen
中科院分区:
其他
文献类型:
--
作者:
Wan Xiaoyun;Ran Jiangjun;Jin Shuanggen

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水深测量是对水深的测量,类似于水下地形。重力异常和重力垂直梯度是反演水深的重要数据。在这项研究中,我们研究了重力异常和垂直重力梯度数据对水深反演的敏感性。首先推导了海底地形产生的重力异常和垂直重力梯度信号的计算公式,然后设计了一系列的数值研究来考察它们的敏感性。结果表明,重力异常和垂直重力梯度对测深反演具有不同的敏感波段。因此,不同空间分辨率和精度的测深反演对重力异常和重力垂直梯度数据的精度要求是不同的。随着分辨率的降低,重力异常的精度要求逐渐降低,而垂直重力梯度的精度要求先降低后升高,表明垂直重力梯度比重力异常对短波信号更敏感,特别是在0-20公里波长范围内。此外,我们还进行了理论分析,表明垂直重力梯度有一个对海底地形最敏感的波段。该研究可为未来卫星反测深的设计提供参考。
Bathymetry is the measurement of the water depth similar to underwater topography. Gravity anomaly and vertical gravity gradient are important data used to inverse bathymetry. In this study, we investigate the sensitivities of the gravity anomalies and vertical gravity gradient data to bathymetry inversion. Firstly, the formulas of the gravity anomaly and vertical gravity gradient signals produced by the seabed terrain are derived, and then a series of numerical studies are designed to investigate the sensitivities. The results show that gravity anomalies and vertical gravity gradients have different sensitive bands to bathymetry inversion. Therefore, accuracy requirements for the gravity anomaly and vertical gravity gradient data are different for bathymetry inversion with different spatial resolutions and accuracies. With decreasing resolution, the accuracy requirement of the gravity anomaly gradually decreases, whereas the accuracy requirement of the vertical gravity gradient first decreases and then increases, indicating that the vertical gravity gradient is more sensitive to the short-wavelength signal than the gravity anomaly, especially in the 0–20 km wavelength ranges. In addition, we perform a theoretical analysis that shows that the vertical gravity gradient has a band that is most sensitive to the seafloor topography. This study is capable to provide a reference for the design of future satellites to retrieve the bathymetry.
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