欧拉反褶积与解析信号相结合的位场反演方法  

A combined Euler and analytic signal method for an inversion calculation of potential data

作　　者：张季生[1,2] 高锐[1,2] 李秋生[1,2] 管烨[1,2] 彭聪[3] 王海燕[1,2] 

机构地区：[1]中国地质科学院地质研究所,北京100037 [2]中国地质科学院深部探测与地球动力学开放实验室,北京100037 [3]中国地质科学院矿产资源研究所,北京100037

出　　处：《地球物理学报》2011年第6期1634-1641,共8页Chinese Journal of Geophysics

基　　金：国家深部探测技术与实验研究专项(SINOPROBE-02;SINOPROBE-08-02);财政部科学专项(140102);国家自然科学基金重点资助项目(40830316);国家自然科学基金项目(40774026;40874045);中国地质调查局地质调查工作项目(1212010611809;1212010711813;1212010811033);国土资源部公益性科研专项经费项目(200811021;201011042);科技部国际合作重点项目(2006DFA21340)联合资助

摘　　要：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,同时探讨了噪声和邻近磁性体干扰影响的问题.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.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.

关 键 词：磁异常 重力异常 快速反演 欧拉反褶积 庐江-枞阳盆地 

分 类 号：P631[天文地球—地质矿产勘探]