1. 中国石油大学(华东)地球科学与技术学院, 山东青岛 266580;
2. 中国石油大学(华东)信息与控制工程学院, 山东青岛 266580;
3. Earth Science Department of Rice University, Houston, 77005, USA
Preconditioned least-squares reverse time migration
Li Chuang1, Huang Jianping1,3, Li Zhenchun1, Wang Rongrong2, Li Qingyang1
1. School of Geosiences, China University of Petroleum (East China), Qingdao, Shandong 266580, China;
2. College of Information and Control Engineering, China University of Petroleum (East China), Qingdao, Shandong 266580, China;
3. Earth Science Department, Rice University, Houston 77005, USA
Abstract：Conventional least-squares reverse time migration (LSRTM) has some defects such as slow convergence and insufficient compensation to unbalanced illumination in deep and subsalt structures. To solve these problems we present in this paper an idea of a preconditioned least-squares reverse time migration, in which an approximate Hessian matrix and a fast high-pass filter are applied to the gradient as the preconditioning. Numerical tests on 2D EAGE/SEG salt model show that the proposed migration can accelerate the convergence, improve the resolution and amplitude preservation of deep and subsalt structure images, and reduce sensitivity to irregular shot data compared with conventional least-squares reverse time migration.
Lailly P. The seismic inverse problem as a sequence of before stack migrations:Conference on Inverse Scattering,Theory and application,1983,15(2):206-220.
Cheng Jiubing, Wang Huazhong, Ma Zaitian. Pre-stack depth migration with finite-difference method in frequency-space domain. Chinese Journal of Geophysics,2001,44(3):389-395.
Chen Shengchang, Zhang Bo. Steeply-dipping structures migration based on the wave field vertical and horizontal extrapolation. Chinese Journal of Geophy-sics,2012, 55(4):1300-1306.
[4]
LeBras R, Clayton R W. An iterative inversion of back-scattered acoustic waves. Geophysics,1988,53(4): 501-508.
[5]
Lambare G, Virieux J, Madariaga R et al. Iterative asymptotic inversion in the acoustic approximation. Geophysics, 1992,57(9): 1138-1154.
[6]
Nemeth T, Wu C J, Schuster G T. Least-squares migration of incomplete reflection data. Geophysics,1999, 64(1): 208-221.
[7]
Dai W, Wang X, Schuster G T. Least-squares migration of multisource data with a deblurring filter. Geophysics, 2011,76(5): R135-R146.
Liu Yujin, Li Zhenchun, Wu Dan et al. The research on local slope constrained least-squares migration. Chinese Journal of Geophysics, 2013,56(3):1003-1011.
Huang Jianping, Li Zhenchun, Kong Xue et al. A study on least-squares migration imaging method for fractured-type carbonate reservoir. Chinese Journal of Geophysics, 2013,56(5): 1716-1725.
[10]
Kuehl H, Sacchi M D. Least-squares wave-equation migration for AVP/AVA inversion. Geophysics, 2003,68(1): 262-273.
[11]
Stoffa P L, Fokkema J T, de Luna Freire R M et al. Split-step Fourier migration. Geophysics,1990,55(4): 410-421.
Huang Jianping, Li Zhenchun, Liu Yujin et al. The least square pre-stack depth migration on complex media. Progress in Geophysics,2013,28(6):2977-2983.
Zhou Huamin, Chen Shengchang, Ren Haoran et al. One-way wave equation least-squares migration based on illumination compensation. Chinese Journal of Geophysics, 2014,57(8): 2644-2655.
[14]
Dai W, Fowler P, Schuster G T. Multi-source least-squares reverse time migration. Geophysical Prospecting,2012, 60(4): 681-695.
[15]
Dai W,Schuster G T. Plane-wave least-squares reverse-time migration. Geophysics,2013,78(4): 5165-5177.
[16]
Li C, Huang J P, Li Z C. Application of plane-wave least square migration in fault block reservoirs: a case study. 76th EAGE Conference & Exhibition,2014,4320-4324.
[17]
Li C, Huang J P, Li Z C et al. Plane-wave least square reverse time migration for rugged topography. SEG Technical Program Expanded Abstracts 2014,33: 3742-3746.
Huang Jianping, Cao Xiaoli, Li Zhenchun et al. Least-square reverse time migration in high resolution imaging of near surface. OGP, 2014,49(1):107-112.
Huang Jianping, Xue Zhiguang, Bu Changcheng et al. The study of least-squares migration method based on split-step DSR. Journal of Jilin University(Earth Science Edition) ,2014, 44(1):369-374.
Huang Jianping, Li Chuang, Li Qingyang et al. Least-square reverse time migration with static plane-wave encoding. Chinese Journal of Geophysics,2015,58(6):2046-2056.
