对应用方格网高程数据进行圆域地形校正的探讨

A DISCUSSION ON TERRAIN CORRECTION OF CIRCULARSHAPED AREA BY APPLICATION OF RECTANGLE GRID ELEVATION DATA

武汉地质学院

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。

A technique for terrain correction calculation of gravity was presented in this paper. Seeing that there are still imperfections in the square-shaped correction technique, a new treatment of making terrain correction in a circular-shaped area was worked out. Truncation errors between the true value and the correction results of both the square and the circular-shaped correction were compared. (The square-shaped correction was carried out by mass line and 2-D numerical integration) . In computer calculation, the area for terrain correction was usually selec ted to be a squared one, and the techniques of suppressing the mass line as well as the 2-D numerical integration were adapted for calculation. This, certainly would make the result distorted. The purpose of this paper was to find a proper model which could complete the terrain correction by computer. Such a model was fond and has been proved to be a feasible one.