加权平滑边界元法重力反演

对于三度界面的重力反演,应用边界元法(代数重建法ART解反演方程)求解时会出现边界振荡现象.本文分析了产生这一现象的原因,提出用加权平滑方法来克服边界振荡现象,并可加快迭代反演的收敛速度.理论和实测重力场的界面反演结果表明:加权平滑边界元反演方法效果良好,反演结果无边界振荡现象,优于其它近似的迭代反演方法,适用于实际生产.

Gravity inversion using weight-smoothed boundary element method

Boundary vibration phenomenon occurs in solving the gravity inversion of 3-D interfaces with the use of boundary element method(solving the gravity inversion equation by algebraic reconstruction technique). The origin of boundary vibration phenomenon is analysed here. Weight smoothing can be used to remove the boundary vibration phenoThenon and to cause fast convergence of iteration inversion. The inversion results of interfaces in both theoretical and real gravity fields show that the weight-smoothed boundary element method is better than other approximate iteration inversion methods and applies to practical work because it brings satisfactory inversion results without boundary vibration phenomenon.