毕博文;王维红;包培楠;林弘喆;

• 1:东北石油大学地球科学学院

摘要(Abstract)：

基于波动方程预测相减的表面多次波压制方法,能较好压制地下复杂介质产生的多次波,但是计算成本较高。基于滤波方法压制多次波计算效率较高,对一次波和多次波存在较大时差的地震数据有明显的压制效果,但是对来自复杂介质的地震数据较难得到良好的压制效果。将波动方程法和滤波法结合,提出一种基于抛物Radon变换和波动方程的多次波压制方法。首先应用表面多次波形成机理预测多次波,利用对应的预测多次波的地震记录和初始地震记录,在抛物Radon域设计自适应滤波函数,通过准确滤波得到多次波在抛物Radon域的能量;然后通过反变换得到多次波,从原始地震记录中减去多次波,得到压制多次波后的结果。水平层状模型及SMAART模型测试结果表明,该方法结合两种方法的优点,能够准确、高效压制来自地下复杂介质产生的表面多次波。

关键词(KeyWords)：表面多次波;抛物Radon变换;压制;波动方程

Abstract:

Keywords:

基金项目(Foundation):国家自然科学基金项目(41574117);国家自然科学基金项目(41474118);; 黑龙江省杰出青年科学基金项目(JC2016006)

作者(Author):毕博文;王维红;包培楠;林弘喆;

Email:

参考文献(References)：

• [1]BERHKOUT A J,VERSCHUUR D J.Estimation of multiple scattering by iterative inversion,partⅠ:theoretical considerations[J].Geophysics,1997,62(5):1586-1595.

• [2]VERSCHUUR D J,BERKHOUT A J.Estimation of multiple scattering by iterative inversion,partⅡ:practical aspects and examples[J].Geophysics,1997,62(5):1596-1611.

• [3]HAMPSON D.Inverse velocity stacking for multiple elimination[J].Journal of the Canadian Society of Exploration Geophysics,1986,22(1):44-55.

• [4]FOSTER D J,MOSHER C C.Suppression of multiple reflections using the Radon transform[J].Geophysics,1992,57(3):386-395.

• [5]宋家文,VERSCHUUR D J,陈小宏.多次波压制的研究现状与进展[J].地球物理学进展,2014,29(1):240-247.SONG Jiawen,VERSCHUUR D J,CHEN Xiaohong.Research status and progress in multiple elimination[J].Progress in Geophysics,2014,29(1):240-247.

• [6]何江.基于L1范数的多次波自适应减法研究及应用分析[D].北京:中国地质大学(北京),2012:22-27.HE Jiang.Research and application analysis of multiwharl adaptive subtraction method based on L1norm[D].Beijing:China Univercity of Ueosciences(Beijing),2012:22-27.

• [7]石颖,邢小林.表面多次波压制的研究进展:回顾与展望[J].地球物理学进展,2011,26(6):2046-2054.SHI Ying,XING Xiaolin.Investigation progress on surface-related multiple suppression:review and outlook[J].Progress in Geophysics,2011,26(6):2046-2054.

• [8]ZHOU B,GREENHALGH S A.Multiple suppression by a wave-equation extrapolation metho-d[J].Exploration Geophysics,1991,22:481-484.

• [9]石颖,王维红.基于波动方程预测和双曲Radon变换联合压制表面多次波[J].地球物理学报,2012,55(9):3115-3125.SHI Ying,WANG Weihong.Surface-related multiple suppression approach by combining wave equation prediction and hyperbolic Radon transform[J].Chinese Journal of Geophysics,2012,55(9):3115-3125.

• [10]李唐律.浅海地震资料自由表面多次波压制方法研究[D].青岛:中国海洋大学,2014:22-27.LI Tanglyu.The study on Iree surface-related multiple attenuation of seismic data in shallow sea[D].Qingdao:Ocean University of China,2014:22-27.

• [11]BERKHOUT A J,VERSCHUUR D J.Removal of internal multiples with the common-focus-point(CFP)approach,part 1:explanation of the theory[J].Geophysics,2005,70(3):45-60.

• [12]李星缘,王维红,王海娇,等.基于频率拓展的表面多次波压制方法[J].东北石油大学学报,2018,42(2):88-94.LI Xingyuan,WANG Weihong,WANG Haijiao,et al.Surface multiple attenuation method based on the frequency extension[J].Journal of Northeast Petroleum University,2018,42(2):88-94.

• [13]石颖,王建民,井洪亮,等.多道自适应匹配滤波力法压制表面多次波[J].地球物理学进展,2013,28(2):785-792.SHI Ying,WANG Jianmin,JING Hongliang,et al.Suppressing surface-related multiple by multi-trace adaptive matching filter approach[J].Progress in Ueophysics,2013,28(2):785-792.

• [14]王维红,张振,石颖,等.λ-f域抛物Radon变换多次波压制方法[J].东北石油大学学报,2015,39(1):17-22.WANG Weihong,ZHANG Zhen,SHI Ying,et al.Investigation of multiple suppression by parabolic Radon transform inλ-fdomain[J].Journal of Northeast Petroleum University,2015,39(1):17-22.

• [15]熊登,赵伟,张剑锋.混合域高分辨率抛物Radon变换及在衰减多次波中的应用[J].地球物理学报,2009,54(4):1068-1077.XIONG Deng,ZHAO Wei,ZHANG Jianfeng.Hybrid-domain high-resolution parabolic Radon transform and its application to demultiplex[J].Chinese Journal of Geophysics,2009,54(4):1068-1077.

• [16]李莹.基于波动方程预测的Radon变换多次波衰减方法[D].大庆:东北石油大学,2015:10-11.LI Ying.Multiple attenuation by Radon transform method incorporating with prediction based on wave equation[D].Daqing:Northeast Petroleum University,2015:10-11.

• [17]SCHONEWILLE M,DUIJNDAM A.Parabolic Radon transform,sampling and efficiency[J].Geophysics,2001,66(2):667-678.

• [18]ZHOU B,GREENHALGH S A.Wave-equation extrapolation-based multiple attenuation:2Dfilter in the f-k domain[J].Geophysics,1994,59(9):1377-1391.