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针对目前重力场匹配导航研究的需要,提出了一种计算机模拟全张量重力梯度基准图的方法,可利用地形高程数据模拟计算局部地区的重力梯度数字地图。该方法从扰动重力梯度的原理出发,分析了地形起伏对重力梯度场的影响,并提出以立方体为地形单元模型,积分计算测量点附近的地形对测量点重力梯度各个分量值的扰动影响。在此基础上模拟格网式测量,从而得到较高分辨率的全张量重力梯度数字地图。仿真实验表明,这种方法计算所得的重力梯度基准图可以精确到10-2～10-1E,相对误差为8.27%,并且存在大量的细节纹理,有着较好的导航应用前景。与实测数据的对比分析说明,所得的重力梯度基准图基本符合实测数据的特性,所提出的方法可以作为一种有效的全张量重力梯度基准图模拟的方法。
In order to meet the needs of current research on gravitational field matching navigation, a method of computer simulation of total tensor gravity gradient datum is proposed. The terrain elevation data can be used to simulate the gravity gradient digital map in some areas. Based on the principle of disturbing gravity gradient, the method analyzes the influence of topography on the gravity gradient field and proposes a cubic topography model to calculate the influence of the topography near the measurement point on each component of the gravity gradient at the measurement point. On this basis, the grid-like measurement is simulated to obtain a higher-resolution digital map of the total tensor gravity gradient. The simulation results show that the calculated gradiogram can be accurate to 10-2 ~ 10-1E with a relative error of 8.27%, and there are a lot of detail textures and good navigation application prospects. The comparison with the measured data shows that the obtained gradiometric gradiometry diagram basically conforms to the characteristics of the measured data. The proposed method can be used as an effective method for simulating the total gravimetric gradiometer.