起伏地形上观测重力异常的界面反演——正弦级数迭代法

根据重力异常的级数系数与密度界面的级数系数的关系,提出-种反演任意起伏地形上观测重力异常的正弦级数法。假定已知单-密度界面上某-点的深度,即可求取布格重力异常原始值的傅氏级数系数,由此可以计算化平和网格化后的重力异常值,制定迭代方案。收敛快慢取决于设计的加速收敛因子。文中提供了该法计算若干理论模型的反演结果,试算表明,该法可用于山区重力资料的反演解释。

The interface inversion of gravity anomaly- observed on rough t errain-Sine series iteration method

Sine series iteration method for the inversion of gravity anomaly observed do any ro ugh terrain is advanced on the basis of relationship between the series coefficients of gravity anomaly and the series coefficients of density interface, Having known the depth of a point on a single density interface, we can solve for Fourier series coefficients of the raw data of Bouguer gravity anomaly, from which the gravirne-tric data after smoothing and gridding can be obtained, and then iteration procedure worked aut, The convergence speed depends on the designed accelerating convergence factor, Some theoretical inversion results obtained using this method is given in this paper, The method has been proved useful to the inversion of gravimetric data observedin rough hilly country.