欧拉反褶积与解析信号相结合的位场反演方法

摘要

The advantage of using the analytic signal method to determine source boundary parameters is the independence from the magnetization direction (2D) or is only slightly dependent on the magnetization direction. The position, depth and structural index of source can be obtained by the EULDPH method. The combined Euler and analytic signal method with high order derivative has been presented. But one has to calculate the third derivative of potential field anomaly. The method, therefore, is sensitive to noise in the data. Especially, in the case of complicated feature of magnetic anomaly, the noise distorts the higher order analytic signal so badly that it might spoil computed results. In order to circumvent this difficulty we develop a combined Euler and analytic signal method for an inversion calculation of potential data, with which the order of derivative calculated is not more than two. Synthetic data and real data demonstrate the effectiveness of this improved method. In addition, this method can be used for inversion of gravity anomaly.%由于解析信号具有不受(二维)或少受磁化方向影响,能够较好反映磁性体边界的特性,因此受到人们的重视.欧拉反褶积法可以确定场源的位置和深度以及形状因子,具有较强的适应性.因此前人提出将二者相结合的方法.针对前人提出的方法中存在受高频干扰严重的问题,本文提出低阶的欧拉反褶积与解析信号相结合的位场反演方法.本方法在反演中只需计算磁异常的一、二阶导数,这样能够将高频噪声的干扰减少到人们可以控制的水平.文中详细推导了反演计算公式.模型计算证明了方法的正确性,司时探讨了噪声和邻近磁性体下扰影响的问题.对安徽庐江枞阳火山岩盆地磁异常反演计算的结果证实了方法的实用性.本方法也可以应用于重力异常的反演计算中.