重磁场二度体边缘深度反演研究进展

Research on edge depth inversion of 2D geological body based on gravity and magnetic field

地质体边缘深度对重磁位场勘探半定量解释起着至关重要的作用。目前主要的地质体边缘深度反演方法有沃纳(Werner)反褶积法、解析信号振幅法(ASA)、局部波数法(local wave-number)、Tilt-depth法、欧拉(Euler)反褶积法和曲率属性(curvature attributes)反演法。这几类方法都存在解的筛选问题、稳定性问题和适应性问题。本文主要对不同类型数据和模型的适应性问题进行研究,基本原理分析和模型试算结果表明:沃纳反褶积方法和欧拉反褶积方法适用的数据源类型最多,曲率属性适用的数据源类型次之,Tilt-depth最少;沃纳反褶积方法、欧拉反褶积方法和曲率属性方法能够适应较多的模型,Tilt-depth能够适应的模型最少。对于重力数据,垂向一阶导数的解析信号振幅作为数据源适用于所有方法。对于磁力数据,解析信号振幅作为数据源适用于所有方法。同时,建议其他学者在使用这些方法反演二度体边缘深度时,遵循以下原则:反演方法推荐优先使用沃纳反褶积,其次是曲率属性和欧拉反褶积。沃纳反褶积方法和欧拉反褶积方法的重力数据源推荐使用垂向一阶导数的水平导数,磁力数据源推荐使用水平导数。曲率属性方法的重力数据源推荐使用垂向一阶导数的解析信号振幅,磁力数据源推荐使用解析信号振幅。另外,基于以上的研究结论,对边缘深度反演中解的筛选问题、稳定性问题和适应性问题在未来的研究方向中给出了一些建议。

The edge depth of geological body plays a crucial role in the semi-quantitative interpretation of gravity and magnetic potential field exploration.At present,the main inversion methods of geological body edge depth mainly include Werner deconvolution method,analytical signal amplitude method,local wave number method,Tilt-depth method,Euler deconvolution method and curvature attribute inversion method.These methods all have problems of solution selection,stability and adaptability.This paper mainly studies the adaptability of different types of data and models.Through basic principle analysis and model test,the results show that Werner deconvolution method and Euler deconvolution method are applicable to the most types of data sources,followed by curvature attribute,and Tilt-depth is the least;Werner deconvolution method,Euler deconvolution method and curvature attribute methods can adapt to many models,the Tilt-depth is least.For gravity data,the analytical signal amplitude of the first vertical derivative as the data source is applicable to all methods.For magnetic data,the analytical signal amplitude as data source is applicable to all methods.At the same time,it is suggested that other scholars should follow the following principles when using these methods to invert the edge depth of the two-dimensional body:It is recommended that Werner deconvolution is preferred,followed by curvature attribute and Euler deconvolution.The gravity data source of Werner deconvolution method and Euler deconvolution method is recommended to use the horizontal derivative of the first vertical derivative,and the magnetic data source is recommended to use the horizontal derivative.The gravity data source of curvature attribute method is recommended to use the analytical signal amplitude of the first vertical derivative,and the magnetic data source is recommended to use the analytical signal amplitude.In addition,based on the above research conclusions,some suggestions on the future research directions of the solution screening,stability and adaptability of the edge depth inversion are given.