引用本文: 黄谟涛, 刘敏, 欧阳永忠, 邓凯亮, 马越原, 翟国君, 吴太旗. 海洋重力场特征统计模型计算与分析[J]. 武汉大学学报 ( 信息科学版), 2019, 44(3): 317-327.
HUANG Motao, LIU Min, OUYANG Yongzhong, DENG Kailiang, MA Yueyuan, ZHAI Guojun, WU Taiqi. Analysis and Calculation of the Statistical Models of Marine Gravity Field Character[J]. Geomatics and Information Science of Wuhan University, 2019, 44(3): 317-327.
 Citation: HUANG Motao, LIU Min, OUYANG Yongzhong, DENG Kailiang, MA Yueyuan, ZHAI Guojun, WU Taiqi. Analysis and Calculation of the Statistical Models of Marine Gravity Field Character[J]. Geomatics and Information Science of Wuhan University, 2019, 44(3): 317-327.

## Analysis and Calculation of the Statistical Models of Marine Gravity Field Character

• 摘要: 海洋重力场特征参数在地球重力场逼近计算和海上测量优化设计中具有重要的应用价值。基于卫星测高重力在海域具有覆盖范围广且分布均匀的独特优势，提出了利用最新卫星测高重力数据集开展海洋重力场特征统计模型计算和分析的研究方案，给出了代表误差和协方差函数模型参数的计算公式，定义并研究了海洋广义布格重力异常的变化特征，提出了等精度和非等精度拟合经验协方差函数的计算模型。利用中国近海及西太平洋海区超过50万个5'×5'方块的1'×1'网格卫星测高重力异常数据，首次计算得到一组有代表性的中国周边海域重力场特征统计模型参数，较好地揭示了海洋重力场有别于陆地重力场的变化特征，利用海面船测重力数据对计算结果进行了可靠性检核，提出了相应的模型参数修正方案和使用建议。

Abstract: Statistical model parameters of marine gravity field character are valuable to the approximation of the earth's gravitational field and the optimum programming of marine gravity surveying. In view of the distinction of satellite altimetry data with large coverage and even distribution, a study strategy is proposed to develop the analysis and calculation of the statistical models of marine gravity field character using the latest satellite altimetry data. The computation formulas of commission error and covariance function model parameters of gravity anomalies are given in detail. A generalized Bouguer anomaly is defined, and the change character of which is researched. Equal and unequal weight models are suggested to fit the experienced covariance function. A set of statistical model parameter of gravity field character for the sea area around China is calculated using 1'×1' grid of satellite altimetry data from more than 500 thousands of 5'×5' cell, and which show different change characteristics of marine gravity field from that of land area. The reliability of the calculated model parameters is validated using ship-borne gravity anomalies. Some corrections are presented to add to the above parameters, and a final set of statistical model parameter of marine gravity field character is obtained. A suggestion is given for use of the new model parameters.

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