Improved tilt-depth method for fast estimation of top and bottom depths of magnetic bodies

基于改进型Tilt-depth法的磁源上顶与下底深度快速反演（英文）

The tilt-depth method can be used to make fast estimation of the top depth of magnetic bodies. However, it is unable to estimate bottom depths and its every inversion point only has a single solution. In order to resolve such weaknesses, this paper presents an improved tilt-depth method based on the magnetic anomaly expression of vertical contact with a finite depth extent, which can simultaneously estimate top and bottom depths of magnetic bodies. In addition, multiple characteristic points are selected on the tilt angle map for joint computation to improve reliability of inversion solutions. Two- and three- dimensional model tests show that this improved tilt-depth method is effective in inverting buried depths of top and bottom bodies, and has a higher inversion precision for top depths than the conventional method. The improved method is then used to process aeromagnetic data over the Changling Fault Depression in the Songliao Basin, and inversion results of top depths are found to be more accurate for actual top depths of volcanic rocks in two nearby drilled wells than those using the conventional tilt-depth method.

Tilt-depth法可以用于快速反演磁源的上顶埋深,但其无法反演磁源底部深度,同时该方法的反演解过于单一。针对于此,本文在有限厚度台阶磁异常导数公式基础上,推导出了可以同时反演地质体上、下界面埋深的改进型Tilt-depth法计算公式,并采用在Tilt梯度图上选取多特征点进行联合反演的计算模式来提高反演解的可靠性。二维及三维组合模型试验均证实了改进型Tilt-depth法可以有效地反演出磁性体的上顶与下底深度,且上顶埋深的反演精度明显高于常规方法的。最后将改进型Tiltdepth法用于松辽盆地长岭断陷航磁数据反演,其上顶埋深的反演结果与钻孔钻遇火山岩的深度基本一致,证实改进型Tilt-depth法相对于常规方法的反演结果更加准确。