基于离散曲波变换字典和二维局部离散余弦变换字典组合的面波压制

Ground roll attenuation based on the combination of discrete curvelet transform dictionary and two-dimensional local discrete cosine transform dictionary

(1.合肥工业大学计算机与信息学院,安徽合肥 230009;2.合肥工业大学数学学院,安徽合肥 230009)

(1.School of Computer and Information,Hefei University of Technology,Hefei 230009,China;2.School of Mathematics,Hefei University of Technology,Hefei 230009,China)

根据地震记录中面波和反射波形态结构的差异性,将基于离散曲波变换字典和二维局部离散余弦变换字典(2D-LDCT)组合的形态成分分析法应用于地震数据的面波压制。首先选取离散曲波变换字典来稀疏表示面波分量,选取二维局部离散余弦变换字典来稀疏表示反射波分量,然后建立地震记录在两种字典下的面波分离模型,最后通过块协调松弛算法求解该模型来分离出两种分量,实现对面波的有效压制。合成地震记录及实际地震记录试验处理结果表明,该方法在有效压制强面波干扰的同时,能够较好地保护反射波信号。

According to the different morphological characteristics between ground roll and reflected wave in seismic record,we use morphological component analysis based on the combination of discrete curvelet transform dictionary and two-dimensional local discrete cosine transform dictionary to attenuate ground roll.Firstly,we choose discrete curvelet transform dictionary to sparsely represent ground roll,and two-dimensional local discrete cosine transform dictionary to sparsely represent reflected wave respectively.Then the ground roll separation model of seismic record can be constructed under the two dictionaries.Finally,by solving the model using block coordinate relaxation algorithm,we can separate the ground roll and reflected wave and thus attenuate ground roll effectively.The processing results of synthetic and real seismic records indicate that our method can not only suppress strong ground roll noise but also preserve reflected wave effectively.

国家重大科研装备研制项目“深部资源探测核心装备研发”(ZDYZ2012-1-06-05)资助。

10.3969/j.issn.1000-1441.2017.02.009