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《Chinese Journal of Geophysics》 2013-08
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Using Chebyshev polynomial asymmetric calculation to obtain angle domain common imaging gathers by Kirchhoff pre-stack time migration

LIU Zhi-Yuan1,3,CHANG Xu1,LIU Yi-Ke1,WANG Yi-Bo1,DU Xiang-Dong2 1 Key Lab of Engineering Geomechanics,Institute of Geology and Geophysics,Chinese Academy of Sciences,Beijing 100029,China 2 Science and Technology Development Department of China National Offshore Oil Corp,Beijing 100027,China 3 Geophysical Research Center,SINOPEC Exploration & Production Research Institute,Beijing 100083,China  
Kirchhoff pre-stack time migration(KPSTM) is widely used in production due to its high efficiency and good suitability,especially for exploration in central and western China.Angle domain common image gathers(ADCIG) serve as the link between migration and reservoir attribute analysis.Getting ADCIG in the time domain is more efficient than in the depth domain.Seismic travel time calculation is one of the key problems of KPSTM and is also a key problem in ADCIG calculation.Using Chebyshev orthogonal polynomial and optimizing algorithm,we develop a new asymmetric Chebyshev travel time formula and compare it with high-precision taylor travel time formulas.Based on this,considering the bend-way effect,we apply the new Chebyshev travel time formula to calculate incident angles,and achieve more precise ADCIG from the original seismic gathers.The method is tested by both synthetic data and real marine data.It is verified that using our method to obtain ADCIG is more precise and consumes less computation time.
【Fund】: 国家重点基础研究发展计划项目(2009CB219404);; 国家科技重大专项子课题(2011ZX05030-004-001)联合资助
【CateGory Index】: P631.4
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