Vector prestack depth migration based on Kirchhoff integral equation
Rong Junzhao1, Lu Jun1, Li Jianfeng2, Wang Chengxiang2
1. School of Energy, China University of Geosciences(Beijing), Beijing 100083, China; 2. Geophysical Research and Development Department, BGP Inc., CNPC, Zhuozhou, Hebei 072750, China
Abstract：Conventional Kirchhoff integral migrations lead inaccurate multi-component seismic imaging and cannot preserve true amplitude due to the scalar acoustic wave equation basis.In this paper,we put forward a vector prestack depth migration based on Kirchhoff integral equation.First we deduce Kirchhoff integral vector migration formula based on multi-component seismic vector field and homogeneous isotropic elastic wave equation.Then we apply it to the prestack depth migration of multi-component seismic data.Using wave equation vector characteristics we recover leaked seismic information PP-and PS-wave components in the migration,and achieve PP-and PS-wave separation.Tests on 2D numerical model and real data prove that the proposed method can eliminate the mode leak and increase the imaging accuracy.
荣骏召, 芦俊, 李建峰, 王成祥. 矢量Kirchhoff叠前深度偏移[J]. 石油地球物理勘探, 2017, 52(6): 1170-1176.
Rong Junzhao, Lu Jun, Li Jianfeng, Wang Chengxiang. Vector prestack depth migration based on Kirchhoff integral equation. Oil Geophysical Prospecting, 2017, 52(6): 1170-1176.
Lu J,Wang Y and Yao C.Separating P-and S-waves in an affine coordinate system.Journal of Geophysics and Engineering,2012,9(1):12-18.
[2]
Dellinger J and Etgen J.Wave-field separation in two-dimensional anisotropic media.Geophysics,1990,55(7):914-919.
[3]
Yan J,Sava P.3D elastic wave mode separation for TTI media.SEG Technical Program Expanded Abstracts,2009,28:4292-4298.
[4]
Wang Zhiyang,Liu Hong.Separation of elastic wave mode based on improved interpolation algorithm.Near-Surface Asia Pacific Conference,Waikoloa,Hawaii,2015:108-112.
[5]
Lou M,Campbell M,Cheng D et al.An improved para-metric inversion methodology to separate P and SV wavefields from VSP data.SEG Technical Program Expanded Abstracts,2013,32:5087-5091.
[6]
马见青,李庆春.利用时频域极化滤波压制地震面波.石油地球物理勘探,2015,50(6):1089-1097.Ma Jianqing,Li Qingchun.Seismic surface wave suppression with polarization filtering method in time-frequency domain.OGP,2015,50(6):1089-1097.
[7]
程冰洁,胡治权,徐天吉等.小波域能量分类约束极化滤波法及应用.石油地球物理勘探,2015,50(5):815-823.Cheng Bingjie,Hu Zhiquan,Xu Tianji et al.Polarization filtering constrained by classified energy in the wavelet domain.OGP,2015,50(5):815-823.
Foster D J,Mosher C C.Suppression of multiple reflections using the Radon Transform.Geophysics,1992,57(3):386-395.
[10]
Zhou B,Greeenhalgh S A.Linear and parabolic transform.Geophysics,1994,59(7):1133-1149.
[11]
黄新武,吴律,宋炜.拉东投影法三维叠前深度偏移.地球物理学报,2004,47(2):321-326.Huang Xinwu,Wu Lü,Song Wei.3-D pre-stack depth migration with Radon projection.Chinese Journal of Geophysics,2004,47(2):321-326.
[12]
郭鹏,何兵寿,沈骥千.VTI介质弹性波波场分解的空间域算法.石油地球物理勘探,2013,48(4):567-575.Guo Peng,He Bingshou,Shen Jiqian.Space domain algorithm of elastic wave-field decomposition in VTI media.OGP,2013,48(4):567-575.
[13]
薛亚茹,唐欢欢,陈小宏.高阶高分辨率Radon变换地震数据重建方法.石油地球物理勘探,2014,49(1):95-100.Xue Yaru,Tang Huanhuan,Chen Xiaohong.Seismic data reconstruction based on high order high resolution Radon transform.OGP,2014,49(1):95-100.
[14]
魏石磊,张大洲,李明智等.VTI介质中波场分离算子特征研究.石油地球物理勘探,2016,51(3):506-512.Wei Shilei,Zhang Dazhou,Li Mingzhi et al.Wave field separation operator characteristics in the VTI media.OGP,2016,51(3):506-512
[15]
杜启振,秦童.横向各向同性介质弹性波多分量叠前逆时偏移.地球物理学报,2009,52(3):801-807.Du Qizhen,Qin Tong.Multicomponent prestack reverse-time migration of elastic waves in transverse isotropic medium.Chinese Journal of Geophysics,2009,52(3):801-807.
[16]
李振春,雍鹏,黄建平等.基于矢量波场分离弹性波逆时偏移成像.中国石油大学学报(自然科学版),2016,40(1):42-48.Li Zhenchun,Yong Peng,Huang Jianping et al.Elastic wave reverse time migration based on vector wavefield separation.Journal of China University of Petroleum (Edition of Natural Science),2016,40(1):42-48.
[17]
Kuo J T,Dai Tingfan.Kirchhoff elastic wave migration for the case of noncoincident source and receiver.Geophysics,1984,49(8):1223-1238.
[18]
Pao Y H,Vararharajulu V.Huygens' principle radiation conditions and integral formulas for the scattering of elastic waves.Journal of the Acoustical Society of America,1976,59(6):1361-1371.
舒萍,门广田,刘启.汪家屯气田地质再认识与开发动态分析.天然气工业,2004,24(9):108-112.Shu Ping,Men Guangtian,Liu Qi.Re-recognize geology of Wangjiatun gas field and analyze producing performance.Natural Gas Industry,2004,24(9):108-112.
