三维重磁场“曲化平”的一个方法

本文从勘探地球物理的实际需要和特点出发,探讨了重磁位场解析延拓的数学提法,给出一套较为实用的数值解法。所论述的原理、方法适用于三维空间任意起伏地形条件下的重磁位场曲化平计算,可做“上延拓”计算,也可做“下延拓”计算。在一个比较复杂的理论模型上所做的方法检验表明“上延”和“下延”都取得了较好的效果。

A NEW METHOD OF REDUCING FROM AN ARBITRARY SURFACE INTO A PLANE FOR THE THREE DIMENSIONAL MAGNETIC AND GRAVITY FIELD

According to the need and the characteristic of geophysical exploration,this paper gives a new mathematical for mulation for the analytical continuation of magnetic and gravity field,and also supplies a practical and effective digital solution. The principle and the method discussed in the paper are suitable for analytical continuation of three-dimensional arbitrary topographic relief,which includes "upward continuation" and ' downward continuation'. It was shown by a complex model analysis that satisfactory results can be obtained by using both contionuations.