Claerbout J F. Fundamentals of Geophysical Data Processing. England: Blackwell Scientific Publications, 1985: 1-266.
[2]
Liu Y B, Schmitt D S. The transition between the scale domains of ray and effective medium theory and anisotropy: Numerical models. Pure and Applied Geophysics, 2006, 162(7): 1-23.
[3]
O''Doherty R F, Anstey N A. Reflections on amplitudes. Geophys. Prospect., 1971, 19(3): 430-458.
[4]
Resnick J R, Lerche I, Shuey R T. Reflection, transmission, and the generalized primary wave. Geophys. J. R. Astr. Soc., 1986, 87(2): 349-377.
[5]
Shapiro S A, Zien H. The O''Doherty-Anstey formula and localization of seismic waves. Geophysics, 1993, 58(5): 736-740.
[6]
Matthew M H, van Kasper W, Snieder R. Radiative transfer in layered media and its connection to the O''Doherty-Anstey formula. Geophysics, 2005, 70(1): T1-T11.
[7]
刘洪, 何利, 刘国峰等. 地层滤波公式的李代数积分证明和推广.//中国地质与地球物理研究进展——庆贺刘光鼎院士80华诞. 北京: 科学出版社, 2008: 412-422. Liu H, He L, Liu G F. Derivation and generalization of the stratigraphic filtering formula via Lie algebraic intergral.//Progress of Geology and Geophyscis in China for 80th Birthday of Academician Liu Guangding (in Chinese). Beijing: Science Press, 2008: 412-422.
[8]
Wang Y H. Q analysis on reflection seismic data. Geophysical Research Letters, 2004, 31(17): L17606.
[9]
Wang Y H. Inverse Q-filter for seismic resolution enhancement. Geophyscis, 2006, 71(3): V51-V60.
[10]
Iserles A, Munthe-Kaas H, Nfrstt S, et al. Lie-group Methods. Cambridge: Cambridge University Press, 2000.
[11]
张廉萍, 刘洪. 适于Kirchhoff叠前深度偏移的地震走时李代数积分算法. 地球物理学报, 2010, 53(8): 1893-1901. Zhang L P, Liu H. Lie algebra integral algorithm of travel-time calculation for pre-stack Kirchhoff depth migration. Chinese J. Geophys. (in Chinese), 2010, 53(8): 1893-1901.
[12]
张廉萍, 刘洪, 李幼铭. 单程波李代数深度积分的精度分析和算法改进. 地球物理学报, 2010, 53(11): 2379-2346. Zhang L P, Liu H, Li Y M. The precision analysis and algorithm improvement in Lie algebra depth integral of one-way seismic wave. Chinese J. Geophys. (in Chinese), 2010, 53(11): 2739-2746.
[13]
刘洪, 袁江华, 陈景波等. 大步长波场深度延拓的理论. 地球物理学报, 2006, 49(6): 1779-1793. Liu H, Yuan J H, Chen J B, et al. Theory of large-step wavefield depth extrapolation. Chinese J. Geophys. (in Chinese), 2006, 49(6): 1779-1793.
[14]
齐民友, 徐超江, 王维克. 现代偏微分方程引论. 武汉: 武汉大学出版社, 2005. Qi M Y, Xu C J, Wang W K. Introduction to the Partial Differential Equations (in Chinese). Wuhan: Wuhan University Press, 2005.
[15]
Aki K, Richards P G. Quantitative Seismology: Theory and Methods. San Francisco: W H Freeman and Co., 1980: 932.
[16]
田畴. 李群及其在微分方程中的应用. 北京: 科学出版社, 2003. Tian C. Liu Group and Its Application in the Differential Equations (in Chinese). Beijing: Science Press, 2003.
[17]
秦孟兆, 陈景波. Maslov渐近理论与辛几何算法. 地球物理学报, 2000, 43(4): 522-533. Qin M Z, Chen J B. Maslov asymptotic theory and symplectic algorithm. Chinese J. Geophys. (in Chinese), 2000, 43(4): 522-533.
[18]
刘洪, 袁江华, 勾永峰等. 地震逆散射波场和算子的谱分解. 地球物理学报, 2007, 50(1): 240-247. Liu H, Yuan J H, Gou Y F, et al. Spectral factorization of wavefield and operator in seismic inverse scattering. Chinese J. Geophys. (in Chinese), 2007, 50(1): 240-247.
[19]
李世雄. Lie群与Lie代数简介. 北京: 中国科学院地质与地球物理研究所, 2005. Li S X. Lie Group and Lie Algebra Integral (in Chinese). Beijing: Institute of Geology and Geophysics, Chinese Academy of Sciences, 2005.
[20]
刘洪, 刘国峰, 李博等. 基于横向导数的走时计算方法及其在叠前时间偏移中的应用. 石油物探, 2009, 48(1): 3-10. Liu H, Liu G F, Li B, et al. The travel time calculation method via lateral derivative of velocity and its application in pre-stack time migration. Geophysical Prospecting for Prtroleum (in Chinese), 2009, 48(1): 3-10.