基于混合L1/L2范数的多次波自适应减方法  

Adaptive multiple subtraction method based on hybrid L1 /L2 norm

作　　者：熊繁升 黄新武[1] 张迪[1] 李荣贤 王鹏 

机构地区：[1]中国地质大学工程技术学院,北京100083 [2]云南省国土建设工程总公司,云南昆明650041 [3]山东省正元地质勘察院烟台分院,山东烟台264002

出　　处：《物探与化探》2014年第5期996-1002,共7页Geophysical and Geochemical Exploration

基　　金：国家高技术研究发展计划项目(2006AA09Z343);中央高校基本科研业务费专项资金项目(2010ZY29)

摘　　要：基于自由表面相关多次波压制(SRME)方法的重要步骤之一是将匹配后的多次波从原始数据中减去。L2范数多次波自适应减方法适用于有效波能量较小的情况,而L1范数多次波自适应减方法可适应有效波能量较强的情况。为获取更理想的自适应减方法,通过加权组合的方式建立使L2范数和L1范数多次波自适应减方法相结合的数学模型,并提出权系数的确定方法,然后结合模型数据和实际数据进行单道多次波压制处理,将处理结果与单独使用L2范数和L1范数自适应减方法所得结果进行对比,结果显示使两种范数加权组合的方法不仅能相对更好地压制多次波的能量,有效波的能量也保持较好。One of the most important steps of surface-related multiple elimination （SRME） is subtraction of the matching multiple waves from the original data. The L2-norm adaptive multiple subtraction method applies to the situation in which the energy of primary wave is very low; however, the Ll-norm adaptive muhiple subtraction method could apply to the situation in which the energy of prima- ry wave is strong. To obtain a more ideal method, the authors built a mathematical model to combine L2-norm and Ll-norm adaptive muhiple subtraction method by means of weighted array, and proposed the method for determination of weight coefficient. In addition, the method which combines synthetic data with field data was illustrated, and the results between using the hybrid Ll/L2-norm and u- sing L2-norm and LI-norm alone were comparatively studied. The results show that using the hybridL1/L2-norm adaptive muhiple sub- traction method can not only suppress the multiple wave better, but also keep the primary wave well.

关 键 词：多次波 自适应减方法 L1范数 混合L1/L2范数 权系数 

分 类 号：P631.4[天文地球—地质矿产勘探]