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在用重力模型绘制深部沉积盆地基地的地形中,结合密度随深度按指数函数增加的关系可以改善其精度。为了计算具有这种指数密度-深度关系的三维构造的重力效应,提出了一种以级数展开为基础的频率域正演算法,其数值计算可以用快速傅里叶变换完成。在递归程序中可以应用此算法,以便依据基底起伏来给出反演解。在澳地利东部的潘诺宁(Pannonian)盆地西缘得到的重力资料的二维合成例子和三维野外例子令人满意地检验了这种反演程序,盆地内厚达2.2km的三迭纪沉积物上覆在火成岩或变质岩基底上。几个井内的基地相交证实了这些结果。
In the topography of a deep sedimentary basin base plotted by gravity model, the accuracy of the combined density increases exponentially with depth can be improved. In order to calculate the gravitational effect of three-dimensional structure with such exponential density-depth relationship, a frequency domain forward algorithm based on series expansion is proposed. The numerical calculation can be performed by fast Fourier transform. This algorithm can be applied in recursive programs to give inverse solutions based on the base-roll. Two-dimensional composite examples and three-dimensional field examples of gravitational data obtained at the western edge of the Pannonian Basin in eastern Australia satisfactorily examined this inversion procedure. Triassic sediments up to 2.2 km thick in the basin Overlying the igneous or metamorphic basement. The intersection of bases in several wells confirmed these results.