罗潇^1,2,3,,
王彦国^1,2,,,
葛坤朋^1,2,
邓居智^1,2,
杨亚新^1,2
1. 东华理工大学地球物理与测控技术学院, 南昌 330013
2. 东华理工大学核资源与环境国家重点实验室, 南昌 330013
3. 核工业230研究所, 长沙 410011

基金项目: 国家重点研发计划项目（2017YFC0602603）、国家自然科学基金（41504098、41862013）、江西省自然科学基金（20171BAB213030、20202BAB201013）、核资源与环境国家重点实验室开放基金（2020NRE25）及中国核工业地质局项目（202004-2）联合资助


详细信息

作者简介: 罗潇, 男, 助理工程师, 主要从事重磁快速反演研究.E-mail: ffmx2013@yeah.net

通讯作者: 王彦国, 男, 副教授, 研究生导师, 主要从事重磁数据处理与解释的研究工作.E-mail: wangyg8503@126.com

中图分类号: P631

收稿日期:2020-12-30
修回日期:2021-01-18
上线日期:2021-06-10

Fast inversion of 3D magnetic data based on the directional tilt-Euler method

LUO Xiao^1,2,3,,
WANG YanGuo^1,2,,,
GE KunPeng^1,2,
DENG JuZhi^1,2,
YANG YaXin^1,2
1. School of Geophysics and Measurement-Control Technology, East China University of Technology, Nanchang 330013, China
2. State Key Laboratory of Nuclear Resources and Environment, East China University of Technology, Nanchang 330013, China
3. No. 230 Research Institute of Nuclear Industry, Changsha 410011, China


More Information

Corresponding author: WANG YanGuo,E-mail:wangyg8503@126.com

MSC: P631

--> Received Date: 30 December 2020
Revised Date: 18 January 2021
Available Online: 10 June 2021


摘要
摘要:三维磁异常快速反演是磁法勘探进行地质解释的一项重要内容.本文在方向tilt梯度基础上进行导数处理，并进行合理改进，得到了6个改进的方向tilt梯度导数，丰富了不同方向上的磁异常信息.对常规欧拉反褶积方程进行三个方向求导，所构成的方程组与6个改进的方向tilt梯度导数进行结合，从而构建出了两个基于方向tilt梯度导数的快速反演方程组（方向tilt-Euler法），用于反演场源的位置参数.另外，将三个方向导数下的欧拉反褶积进行平方和及均方根处理，得到了场源构造指数的求解公式.单一模型试验表明，6个改进的方向tilt梯度导数异常基本不受磁化方向影响，可从不同方向上反映磁异常信息，方向tilt-Euler能够准确地反演出场源的位置及构造指数.叠加模型试验证实了方向tilt-Euler法相对于tilt-Euler法，具有反演解聚集度更强、连续性更好、反演准确度更高、受噪声影响更小及无虚假反演解等优点.将本文方法应用于内蒙古塔木素航磁资料处理中，获得了丰富的地下磁源分布信息，为了解该地区隐伏断裂构造及岩体分布等提供了有效依据.
关键词: 磁异常/
三维/
方向tilt梯度/
快速反演/
欧拉反褶积

Abstract:The fast inversion of 3D magnetic data is an important task of magnetic interpretation. In this paper, six improved derivatives of directional tilt-gradient are derived to obtain rich magnetic information in different directions. In addition, two linear equations (named tilt-Euler method) based on the combination of three directional derivatives of conventional Euler deconvolution and the six improved derivatives of the directional tilt-gradient, are proposed for fast estimation of magnetic source-parameters. Moreover, a formula is introduced to estimate structural index of magnetic source based upon mean square root of the sum of squares of three directional derivatives of Euler deconvolution. The single model test shows that the six improved derivatives of the directional tilt-gradient are less influenced by the magnetization direction, and can reflect the magnetic anomaly of different directions. The directional tilt-Euler method can exactly estimate the position and structural index of the source. The multisource model test demonstrates that the directional tilt-Euler method has tighter clustering and better continuity of the solutions, higher precision, less affected by noise and no spurious solutions, when compared with the tilt-Euler method. The directional tilt-Euler method is applied to aeromagnetic data over Tamusu area of Inner Mongolia, and the rich information of magnetic sources is obtained, which can provide effective evidences for hidden faulted structures and rock masses.
Key words:Magnetic anomaly/
Three dimension/
Directional tilt-gradient/
Fast inversion/
Euler deconvolution



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