利用重力资料研究区域乃至全球地质问题时,重力或重力异常正演方法最好从基于直角坐标系向球坐标系方向发展。本文对近似的球冠面积分重力异常正演方法进行改进,使其计算精度和计算效率都得到很大程度地提高;再通过数值试验及实际应用,分析Tesseroid单元体基于泰勒级数展开的重力正演方法与球冠重力正演方法的计算精度与稳定性,最后探讨两种方法的优缺点及其应用方向。
The gravity or gravity anomaly calculating methods must be developed from the rectangular Cartesian coordinate system to the spherical coordinate system when utilizing gravity data to study the regional and global geologic problems. The method of surface integral approximation for gravity anomaly forward in spherical cap is improved so that both calculation accuracy and computing speed are enhanced. By means of the model testing, the calculation accuracy and stability of the methods of gravity anomaly calculation in spherical cap and the Tesseroid- Taylor series expansion are analyzed. Finally, the characteristics and the applications of the two methods are discussed.