引文
[1]Tarantola A.Inversion of seismic reflection data in theacoustic approximation.Geophysics,1984,49(8):1259-1266.
[2]Mora P.Elastic wave-field inversion of reflection andtransmission data.Geophysics,1988,53(6):750-759.
[3]Pratt R G,Shipp R M.Seismic waveform inversion in thefrequency domain,Part II:Fault delineation in sedimentsusing crosshole data.Geophysics,1999,64(3):902-914.
[4]Hicks G J,Pratt R G.Reflection waveform inversion usinglocal descent methods:Estimating attenuation and velocityover a gas-sand deposit.Geophysics,2001,66(2):598-612.
[5]Ravaut C,Operto S,Improta L,Virieux J,et al.Multiscaleimaging of complex structures from multifold wide-apertureseismic data by frequency-domain full-waveform tomography:Application to a thrust belt.Geophy.J.Int.,2004,159(3):1032-1056.
[6]Gao F,Levander A R,Pratt R G,et al.Waveformtomography at a groundwater contamination site:Vsp-surfacedata set.Geophysics,2006,71(1):H1-H11.
[7]Bleibinhaus F,Hole J A,Ryberg T,et al.Structure of theCalifornia Coast ranges and San Andreas fault at SAFODfrom seismic waveform inversion and reflection imaging.Journal of Geophysical Research,2007,112:B06315,doi:10.1029/2006JB004611.
[8]冯国峰,韩波,刘家琦.二维波动方程约束反演的大范围收敛广义脉冲谱方法.地球物理学报,2003,46(2):265-270.Feng G F,Han B,Liu J Q.Widely convergent generalizedpulse-spectrum methods for 2-D wave Equation Inversion.Chinese J.Geophys(in Chinese),2003,46(2):265-270.
[9]傅红笋,韩波.二维波动方程速度的正则化-同伦-测井约束反演.地球物理学报,2005,48(6):1441-1448.Fu H S,Han B.A regularization homotopy method for theinverse problem of 2-D wave equation and well log constraintinversion.Chinese J.Geophys.(in Chinese),2005,48(6):1441-1448.
[10]Han B,Fu H S,Liu L.A homotopy method for well logconstraint waveform Inversion.Geophysics,2007,72(1):R1-R7.
[11]王守东.井间地震资料全变差正则化波形反演.石油物探,2011,50(3):234-240.Wang S D.Total variation regularization waveform inversionof crosswell seismic data.Geophysical Prospecting forPetroleum(in Chinese),2011,50(3):234-240.
[12]He J H.Homotopy perturbation technique.Comput.Meth.Appl.Mech.Eng.,1999,178(3-4):257-262.
[13]He J H.A coupling method of a homotopy technique and aperturbation technique for non-linear problems.Int.J.Non-Linear Mech,2000,35(1):37-43.
[14]Sharma P R,Methi G.Applications of homotopyperturbation method to partial differential equations.AsianJournal of Mathematic and Statistics,2011,4(3):140-150.
[15]Shakeri F,Dehghan M.Inverse problem of diffusion equationby He's homotopy perturbation method.Phys.Scr.,2007,75(4):551-556.
[16]Ganji D D,Sadighi A.Application of He's homotopy-perturbation method to nonlinear coupled systems of reaction-diffusion equations.Int.J.Nonlinear Sci.Numer.Simul.,2006,7(4):411-418.
[17]Javidi M,Golbabai A.A numerical solution for solvingsystem of Fredholm integral equations by using homotopyperturbation method.Appl.Math.Comput.,2007,189(2):1921-1928.
[18]Abdulaziz O,Hashim I,Chowdhury M S H.Solvingvariational problems by homotopy-perturbation method.Int.J.Numer.Meth.Eng.,2008,75(6):709-721.
[19]Cao L,Han B,Wang W.Homotopy perturbation method fornonlinear ill-posed operator equations.Int.J.Non.Sci.Numer.Simul.,2009,10(10):1319-1322.
[20]崔岩,王彦飞,杨长春.带先验知识的波阻抗反演正则化方法研究.地球物理学报,2009,52(8):2135-2141.Cui Y,Wang Y F,Yang C C.Regularizing method with apriori knowledge for seismic impedance inversion.Chinese J.Geophys.(in Chinese),2009,52(8):2135-2141.
[21]许琨,王妙月.声波方程频率域有限元参数反演.地球物理学报,2001,44(6):852-864.Kun X,Wang M Y.Finite element inversion of thecoefficients of acoustic equation in frequency domain.ChineseJ.Geophys.(in Chinese),2001,44(6):852-864.
[22]周辉,何樵登,徐世浙.人工神经网络非线性地震波形反演.石油物探,1997,36(1):61-70.Zhou H,He Q D,Xu S Z.Nonlinear seismic waveforminversion using the artifiual neural network.GPP(inChinese),1997,36(1):61-70.
[23]Sambridge M,Drijkoningen G.Genetic algorithms in seismicwaveform inversion.Geophy.J.Int.,1992,109(2):323-342.
[24]姚姚.地球物理非线性反演模拟退火法的改进.地球物理学报,1995,38(5):643-650.Yao Y.Improvement on nonlinear geophysical inversionsimulated annealing.Chinese J.Geophys.(in Chinese),1995,38(5):643-650.
[25]马坚伟,朱亚平,杨慧珠.二维地震波形小波多尺度反演.工程数学学报,2004,21(1):109-113.Ma J W,Zhu Y P,Yang H Z.2-dimension seismic waveformwavelet multiscale inversion.J.Engi.Math.(in Chinese),2004,21(3):109-113.
[26]王彦飞.反演问题的计算方法及其应用[当代科学前沿论丛北京].北京:高等教育出版,2007.Wang Y F.Computational Methods for Inverse Problems andTheir Applications(in Chinese).Beijing:Higher EducationPress,2007.