中文摘要：

重力位场的界面反演是位场处理解释中的重要问题.本文将基于快速傅里叶变换的频率域界面反演方法Parker-Oldenburg公式推广到物性可随深度变化的三维情况,得出了密度可以横向、纵向任意变化的重力界面正反演公式.该方法在计算时可以合理地选取地面下某一深度作为基准面以减小界面起伏,使迭代易于收敛.理论模型试验表明该方法反演精度高,收敛速度快,在密度界面反演中具有广泛的实用价值.最后利用该方法反演华北地区莫霍面的深度,反演结果得到了地震测深数据的验证.

英文摘要：

Gravity interface inversion is an important issue of gravity field. In this paper, extended formulas of Parker-Olde fast Fourier transform are proposed, where the assumed dens vertical direction of three-dimensional case. The convergence the processing and nburg in frequency ity can be changed interpretation of domain based on in horizontal and of iteration can be assured by fixing certain depth as datum plane below the surface. Experimental results from theoretical model and actual data show that the proposed method is of high precision, fast convergence, and application value in the inversion of density interface.