三度体梯度磁异常全方位正反演方法

METHODS OF OMNIDIRECTIONAL FORWARD AND INVERSION OF 3D-BODY'S GRADIENT MAGNETIC ANOMALY

首创了磁法勘探学科中三度体任意方向梯度磁异常全方位正、反演方法。首先 ,在球坐标系中 ,导出了三度体任意方向梯度磁异常的两个球谐级数通用正演表达式 ,为实现全方位反演奠定了理论基础。然后 ,由第 1个梯度磁异常球谐级数表达式出发 ,提出了三度体总磁化方向、磁矩模值反演方法 ;由第 2个梯度磁异常球谐级数表达式出发 ,提出了三度体磁矩重心、近似形态与分布范围 ,以及有广泛实用价值的“均磁凸形体”边界点位置等全方位反演方法。最后 ,给出了 1个三度体梯度磁异常全方位反演的理论模型验证实例。

In the present work the methods of omnidirectional forward and inversion for 3D bodys gradient magnetic anomaly along arbitrary direction are developed for the first time Firstly,the author derives two general spherical harmonic expressions for 3D bodys gradient magnetic anomaly along arbitrary direction on the basis of monograph “Omnidirectional Imagery of Local Gravity and Magnetic Anomaly Sources” The author,then, derives the omnidirectional inversion methods of 3D bodys gradient magnetic anomaly,such as the inversion method for total magnetic moment modules and magnetization direction,the inversion method for magnetic moment center,approximate shape and distribution extend,and the inversion method for boundary points positions of 3D body with homogeneous density or magnetization and arbitrary protruding boundary Finally,the theory model test example of omnidirectional invertion method is given