引文
[1] 刘洪,李幼铭.油气勘探二次创业的油储地球物理方法研究回顾.石油与天然气地质,2008,29(5) :648~653 Liu H,Li Y M.Review on geophysical methodology of oil reservoirs in the second round of hydrocarbon exploration.Oil & Gas Geology(in Chinese),2008,29(5) :648~653
[2] Cordes H O.The Technique of Pseudo Differential Operators.Cambridge:Cambridge University Press,1995
[3] 陈恕行.拟微分算子理论(第二版).北京:高等教育出版社, 1995 Chen S X.Pseudo Differential Operator(Edition 2) (in Chinese).Beijing:Higher Education Press,1995
[4] Naimark M A,Stern A I.Theory of Group Representations.New York:Springer-Verlag New York Inc.,1982
[5] Feng K.On difference schemes and symplectic geometry.In:Feng K ed.Symplectic Differential Geometry and Differential Equations.Beijing:Science Press,1985
[6] Iserles A,Munthe-Kaas H,Nfrstt S,et al.Lie-group methods.Acta Numerica,2000,9(1) :215~263
[7] 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.Applications of Lie Groups to Differential Equations(in Chinese).Beijing:Science Press,2003
[8] 陈景波,秦孟兆.射线追踪、辛几何算法与波场的数值模拟.计算物理,2001,18(6) :481~486 Chen J B,Qin M Z.Ray tracing,symplectic geometry algorithm and numerical modeling of wave field.Computational Physics(in Chinese),2001,18(6) :481~486
[9] 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
[10] 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 of Modern Partial Differential Equation(in Chinese).Wuhan:Wuhan University Press,2005
[11] Zhang G Q.A new algorithm for finite-difference migration of steep dips.Geophysics,1988,53(2) :167~175
[12] 张关泉.一维波动方程的反演问题.中国科学,1988,31(7) :707~721 Zhang G Q.One-dimensional wave equation inverse problem.Science China(in Chinese),1988,31(7) :707~721
[13] 张关泉.波场分裂、平方根算子与偏移.反射地震学论文集,上海:同济大学出版社,2000 Zhang G Q.Wave field split,square root operator and migration.Memoir of Reflection Seismology(in Chinese).Shanghai:Tongji University Press,2000
[14] Chen J B,Munthe-Kaas H,Qin M Z.Square-conservative schemes for a class of evolution equations using Lie-group methods.SIAM J.Numer.Anal.,2002,39:2164~2178
[15] 刘超颖,王成祥.非稳态相移法叠前深度偏移.地球物理学进展,2004,19(3) :543~546 Liu C Y,Wang C X.Prestack depth migration by nonstationary phase shift method.Progress in Geophysics(in Chinese),2004,19(3) :543~546
[16] 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,YuanJ H,ChenJ B,et al.Theory of large-step wave field depth extrapolation.ChineseJ.Geophys.(in Chinese),2006,49(6) :1779~1793
[17] 刘洪,王秀闽,曾锐等.单程波算子积分解的象征表示.地球物理学进展,2007,22(2) :463~471 Liu H,Wang X M,Zeng R,et al.Symbol description to integral solution of one-way wave operator.Progress in Geophysics(in Chinese),2007,22(2) :463~471
[18] 王秀闽.积分偏移的计算几何与并行实现[博士论文].北京:中国科学院地质与地球物理研究所,2008 Wang X M.Computational geometry and parallel implementation of integral migration[Ph.D.thesis](in Chinese).Beijing:Institute of Geology and Geophysics,Chinese Academy of Sciences,2008
[19] 刘国峰,刘洪,王秀闽等.Kirchhoff积分时间偏移两种走时计算及并行算法.地球物理学进展,2009,24(1) :131~136 Liu G F,Liu H,Wang X M,et al.Two kinds of traveling time computation and parallel computing methods of Kirehhoff migration.Progress in Geophysics(in Chinese),2009,24(1) :131~136
[20] Liu G F,Liu H,Li B,et al.Getting pre-stack time migration travel times from the single square root operator.Applied Geophysics,2009,6(2) :129~137
[21] Celledoni E,Iserles A.Methods for the approximation of the matrix exponential in a Lie-algebra setting.IMA J.Numer.Anal.,2001,21(2) :463~488
[22] Moler C,Van Loan C F.Nineteen dubious ways to compute the exponential of a matrix.SIAM Review,1978,20(4) :801~836
[23] Liu Y,Wu R S.A comparison between phase screen,finite difference and eigenfunetion expansion calculation for scalar waves in inhomogeneous media.Bulletin of the Seismological Society of America,1994,84(4) :1154~1168
[24] McLachlan R I,Quispel G R W.Splitting methods.Acta Numerica,2002,11(1) :341~434
[25] Magnus W.On the exponential solution of differential equations for a linear operator.Communications on Pure and Applied Mathematics,1954,7(5) :649~673
[26] 李世雄.波动方程的高频近似与辛几何.北京:科学出版社,2001. 1~141 Li S X.High-Frequency Approximation and Sympleetic Geometry(in Chinese).Beijing.Science Press,2001. 1~141
[27] Chen J.Specular ray parameter extraction and stationary phase migration.Geophysics,2004,69(1) :249~256
[28] 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.Travel time calculation by lateral derivative and its application in pre-stack time migration.Geophysical Prospecting for Petroleum(in Chinese),2009,48(1) :3~10
[29] 李博,刘国峰,刘洪.地震叠前时间偏移的一种图形处理器提速实现方法.地球物理学报,2009,52(1) :245~252 Li B,Liu G F,Liu H.A method of using GPU to accelerate seismic pre-stack time migration.Chinese J.Geophys.(in Chinese),2009,52(1) :245~252
[30] 刘国峰,刘钦,李博等.油气勘探地震资料处理GPU/CPU协同并行计算.地球物理学进展,2009,24(5) :1671~1678 Liu G F,Liu Q,Li B,et al.GPU/CPU co-processing parallel computation for seismic data processing in oil and gas exploration.Progress in Geophysics(in Chinese),2009,24(5) :1671~1678
[31] 刘洪,袁江华,勾永锋等.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 wave field and operator in seismic inverse scattering.Chinese J.Geophys.(in Chinese),2007,50(1) :240~247
[32] 刘洪,何利,刘国锋等.地层滤波公式的李代数积分证明和推广.金翔龙,秦蕴珊,朱日祥等.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,et al.Derivation and generalization of the stratigraphic filtering formula via Lie algebra integral(in Chinese).Jin X L,Qin Y S,Zhu R X,et al.The Research Development of Geology and Geophysics in China The Collection in Memory of 80th Anniversary of Academician Liu Guangding.Beijing:Sciences Press,2008. 412~422
[33] Nolet G.地震层析成像.王椿镛,吴宁远,李幼铭等译.北京:学术书刊出版社,1989 Nolet G.Seismic Tomography(in Chinese).Translated by Wang C Y,Wu N Y,Li Y M,et al.Beijing:Academic Book Press,1989
[34] 周纳,刘继勇.非对称走时叠前时间偏移方法及应用.油气地球物理,2010,8(2) :48~52 Zhou N,Liu J Y.The method and application of asymmetric travel-time pre-stack time migration.Petroleum Geophysics(in Chinese),2010,8(2) :48~52
[35] 陈新荣.非对称走时叠前时间偏移在青东4东地区的应用.勘探地球物理进展,2010,33(4) :279~283 Chen X R.The application of asymmetric travel-time prestack time migration in area of Qingdong 4 dong.Progress in Exploration Geophysics(in Chinese),2010,33(4) :279~283