Research on multiple attenuation using 3D high-precision amplitude-preserving Radon transform
MA Jitao1, LIU Shiyou2,3, LIAO Zhen1
1. College of Geophysics, China University of Petroleum (Beijing), Beijing 102249, China; 2. Hainan Branch, China National Offshore Oil Corporation (CNOOC), Haikou, Hainan 570100, China; 3. School of Geoscience, China University of Petroleum (East China), Qingdao, Shandong 266580, China
Abstract：3D seismic exploration has become a common method for seismic exploration. Conventional 2D Radon transform for multiple attenuation is only applicable for seismic data acquired in a 2D manner and does not consider the characteristic of 3D pro-pagation of a seismic wave field. Therefore,it is not suitable for 3D seismic data processing. It is urgent to explore a processing algorithm for 3D seismic data. After the systematic study of 3D Radon transform for multiple attenuation,iterative threshold shrinkage is adopted to improve the resolution of the 3D Radon transform domain. Consi-dering the characteristic of amplitude versus offset, orthogonal polynomial transformation is introduced to fit the amplitude variation of seismic data in different curvature directions. The results of synthe-tic data and real data show that the 3D high-precision amplitude-preserving Radon transform can achieve high-resolution data in the model domain and,effectively separate primaries and multiples. Moreover,the polynomial fitting can protect the amplitude of effective waves. The proposed me-thod enables multiple attenuation with high fidelity.
马继涛, 刘仕友, 廖震. 三维高精度保幅Radon变换多次波压制方法[J]. 石油地球物理勘探, 2022, 57(3): 582-592.
MA Jitao, LIU Shiyou, LIAO Zhen. Research on multiple attenuation using 3D high-precision amplitude-preserving Radon transform. Oil Geophysical Prospecting, 2022, 57(3): 582-592.
HAMPSON D. Inverse velocity stacking for multiple elimination[J]. Journal of the Canadian Society of Exploration Geophysicists (CSEG), 1986, 22(1):44-55.
[2]
SACCHI M D and ULRYCH T J. High-resolution velocity gathers and offset space reconstruction[J]. Geophysics, 1995, 60(4):1169-1177.
[3]
SACCHI M D and PORSANI M. Fast high-resolution parabolic Radon transform[J]. SEG Technical Program Expanded Abstracts, 1999, 18:1477-1480.
[4]
HERRMANN P, MOJESKY T, MAGESAN M, et al. De-aliased, high-resolution Radon transforms[C]. SEG Technical Program Expanded Abstracts, 2000, 19:1953-1956.
[5]
TRAD D, ULRYCH T, SACCHI M D. Latest views of the sparse Radon transform[J]. Geophysics, 2003, 68(1):386-399.
[6]
CHEN Z H and LU W K. Non-iterative high resolution Radon transform[C]. Extended Abstracts of 73rd EAGE Conference and Exhibition, 2011:cp-238-00590, P234.
[7]
LU W K. An accelerated sparse time-invariant Radon transform in the mixed frequency-time domain based on iterative 2D model shrinkage[J]. Geophysics, 2013, 78(4):V147-V155.
[8]
薛亚茹, 郭蒙军, 冯璐瑜, 等. 应用加权迭代软阈值算法的高分辨率Radon变换[J]. 石油地球物理勘探, 2021, 56(4):736-744, 757.XUE Yaru, GUO Mengjun, FENG Luyu, et al. High resolution Radon transform based on the reweighted-iterative soft threshold algorithm[J]. Oil Geophysical Prospecting, 2021, 56(4):736-744, 757.
[9]
罗腾腾, 徐基祥, 孙夕平. 应用迭代收缩高分辨率Radon变换的绕射波分离与成像方法[J]. 石油地球物理勘探, 2021, 56(2):313-322.LUO Tengteng, XU Jixiang, SUN Xiping. Diffraction wave separation and imaging based on high-resolution Radon transform on an iterative model shrinking approach[J]. Oil Geophysical Prospecting, 2021, 56(2):313-322.
[10]
NOWAK E J and IMHOF M G. Amplitude preservation of Radon-based multiple-removal filters[J]. Geophysics, 2006, 71(5):V123-126.
薛亚茹, 陈小宏, 马继涛. 多方向正交多项式变换压制多次波[J]. 地球物理学报, 2012, 55(10):3450-3458.XUE Yaru, CHEN Xiaohong, MA Jitao. Multiples attenuation based on directional orthogonal polynomial transform[J]. Chinese Journal of Geophysics, 2012, 55(10), 3450-3458.
[13]
XUE Y R, MA J T and CHEN X H. High-order sparse Radon transform for AVO-preserving data reconstruction[J]. Geophysics, 2014, 79(2):V13-V22.
[14]
VYAS M, ETGEN J and LIAO Q Q. Sparse Radon transform in extended domain[C]. SEG Technical Program Expanded Abstracts, 2016, 35:4540-4544.
[15]
WANG B, SACCHI M D, YIN X Y. AVO-preserving sparse parabolic Radon transform[C]. Extended Abstracts of 73rd EAGE Conference and Exhibition, 2011:cp-238-00271, G013.
[16]
DONATI M S and MARTIN N W. Seismic reconstruction using a 3D tau-p transform[R]. CREWES Research Report, 1995, 7:11-1-11-16.
[17]
HUGONNET P, BOELLE J L and MIHOUB M. High resolution 3D parabolic Radon filtering[C]. SEG Technical Program Expanded Abstracts, 2008, 27:2492-2496.
[18]
HUGONNET P, BOELLE J L, MIHOUB M. 3D high resolution parabolic Radon filtering[C]. Extended Abstracts of 71st EAGE Conference and Exhibition, 2009:cp-127-00421.
[19]
ZHANG Y Q and LU W K. 2D and 3D prestack seismic data regularization using an accelerated sparse time-invariant Radon transform[J]. Geophysics, 2014, 79(5):V165-V177.
[20]
CAO W P and ROSS W. High-resolution 3D tau-p transform by matching pursuit[C]. SEG Technical Program Expanded Abstracts, 2017, 36:4302-4306.
[21]
唐欢欢, 毛伟建. 3D高阶抛物Radon变换地震数据保幅重建[J]. 地球物理学报, 2014, 57(9):2918-2927.TANG Huanhuan and MAO Weijian. Reconstruction of 3D irregular seismic data with amplitude preserved by high-order parabolic Radon transform[J]. Chinese Journal of Geophysics, 2014, 57(9):2918-2927.
[22]
WANG S, LI J Y, XUE Y R, et al. AVO-preserving data reconstruction by 3D high-order sparse-parabolic Radon transform[C]. SEG Technical Program Expanded Abstracts, 2017, 36:4338-4342.
[23]
JOHANSEN T A, BRULAND L, LUTRO J. Tracking the amplitude versus offset (AVO) by using orthogonal polynomials[J]. Geophysical Prospecting, 1995, 43(2):245-261.
