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本文讨论了重力测量中地形校正值的一个计算方案。鉴于方域地形校正存在的不足,提出了用矩形网格的高程数据进行圆域地形校正的方法。计算对比了方域地形校正的校正结果(用物质线和二维数值积分法计算),也计算对比了圆域地形校正的校正结果与真值之间的截断误差。人们在进行电算地形校正值时,都把改正范围定为方域,且采用压缩物质线模型和二维数值积分法来计算。这样处理的结果,必然会造成结果的失真。本文的目的是要找出一种既能电算又较合理的地形校正值计算模型。本文提出的方法具有可行性。
This article discusses a calculation of the terrain correction in gravimetry. In view of the shortage of square terrain correction, a method of rectangular terrain correction using rectangular grid elevation data is proposed. Comparisons were made between the correction results of square topography correction (calculated by material line and two-dimensional numerical integration method), and the truncation error between the correction results and true values of circle topography correction was also calculated. When calculating the topographic correction value, the correction scope was defined as the square domain and was calculated by using the compression material line model and the two-dimensional numerical integration method. The result of this treatment will inevitably result in the distortion of the result. The purpose of this paper is to find a computational model of terrain correction that is computationally sound and reasonable. The method proposed in this paper is feasible.