重磁数据反演中物性边值约束方法的对比研究  

Contrast and study of physical property boundary constraint methods in gravity and magnetic data inversion

作　　者：赵洋洋[1,2] 孙石达 李庆春 杜劲松[4] 田宝卿 胡冬平 ZHAO YangYang;SUN ShiDa;LI QingChun;DU JinSong;TIAN BaoQing;HU DongPing(Geology Engineering and Geomatics,Chang'an University,Xi'an 710054,China;Institute of Geological Survey,Chang'an University,Xi'an 710054,China;Hebei Key Laboratory of Strategic Critical Mineral Resources,Hebei GEO University,Shijiazhuang 050031,China;Hubei Subsurface Multi-scale Imaging Key Laboratory,Institute of Geophysics and Geomatics,China University of Geosciences,Wuhan 430074,China;Institute of Geophysics,China Earthquake Administration,Beijing 100081,China;Chengdu Guimu Robot Co.,Ltd.,Chengdu 610000,China)

机构地区：[1]长安大学地质工程与测绘学院,西安710054 [2]长安大学地质调查研究院,西安710054 [3]河北地质大学地球科学学院,河北省战略性关键矿产资源重点实验室,石家庄050031 [4]中国地质大学(武汉)地球物理与空间信息学院,地球内部多尺度成像湖北省重点实验室,武汉430074 [5]中国地震局地球物理研究所,北京100081 [6]成都圭目机器人有限公司,成都610000

出　　处：《地球物理学进展》2022年第3期1249-1257,共9页Progress in Geophysics

基　　金：中央高校基本科研业务费专项资金(300102278115);国家自然科学基金面上项目(42174090)联合资助。

摘　　要：重磁数据反演中的物性边值约束是一种重要的约束形式,对于降低反演结果的非唯一性和提高反演结果的准确性具有显著作用.本文通过模型试验分别将三种约束方法(强制约束法、对数变换法和对数障碍法)应用于重力数据的L范数和L范数反演过程,并从反演结果的幅值和形态、拟合差收敛情况、总迭代次数与计算时间等方面对上述三种方法的约束效果及对反演过程的影响进行了对比和分析.结果显示,通过对数变换法约束,物性结果的聚焦效果以及与场源体的对应程度最好;对数障碍法的收敛过程最为稳定;而强制约束法相对前两者而言没有呈现特别的优势.将上述三种方法应用于西准噶尔地区阿克巴斯陶岩体的区域重力和航磁数据,结果同样显示出对数变换法在重磁数据反演实现物性边值约束上的优势.Boundary constraint of physical property is an important constraint form in the inversion of gravity and magnetic,which has a significant effect on reducing the non-uniqueness and improving the accuracy of inversion results.In this paper,three methods(mandatory constrained method,logarithmic transformation method and logarithmic obstacle method)are respectively applied to the Land Lnorms inversion process through model tests.The constraint effect of the above methods and their effects on the inversion process are compared and analyzed from the aspects of amplitude and shape of the inversion results,the convergence of the fitting difference,the number of iterations,and the calculation time.The tests show that by the constricted of logarithmic transformation method,the focusing effect and the corresponding degree with sources of inversion results are the best.The convergence process of logarithmic obstacle method is the most stable.However,the mandatory constraint method has no special advantage over other two methods.These methods are applied to the processing of gravity and aeromagnetic data of Akbasito rock in western Junggar area,and the results also show the advantage of the logarithmic transformation method on the boundary constraint of physical property in the inversion of gravity and magnetic data.

关 键 词：重磁反演 物性边值约束 强制约束法 对数变换法 对数障碍法 

分 类 号：P631[天文地球—地质矿产勘探]