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

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.