Regularization migration imaging based on the ω circulant preconditioner conjugate gradient methods
Mei Jinshun1, Wang Runqiu1, Yu Zhilong2, Zhang Yidan3
1. State Key Laboratory of Petroleum Resources and Prospecting, China University of Petroleum, (Beijing), Beijing 102249, China;
2. Geological Research Cener, GRI, BGP Inc., CNPC, Zhuozhou, Hebei 072751, China;
3. College of Energy Resoures, China University of Geosciences (Beijing), Beijing, 100083, Chian
Abstract：This paper first introduces the regularization method to optimize the difference correction term in Fourier finite difference (FFD) migration method, and then to solve the difference correction term with the ω circulant preconditioner conjugate gradient (PCG) method. Introduction of PCG may have the following advantages: A. avoiding the splitting method; B. improving result accuracy; C. suitable for large-scale data processing with fast Fourier transforms (FFT). The main idea in this paper is to combine the ω circulant boundary condition with the regularization method in order to overcome boundary effects of Fourier transform and optimize the iterative convergence in PCG method. Model tests show the validity and correctness of the proposed method in the paper.
