Cai Jun-xiong，Yue You-xi，Zeng Mian . Study of first-arrival traveltime tomographic velocityand anisotropy parameters modeling method in 3D VTI media[J]. Natural Gas Geoscience, 2017 , 28(11) : 1771 -1777 . DOI: 10.11764/j.issn.1672-1926.2017.09.013

［1］Liu Shouwei，Wang Huazhong，Cheng Jiubing，et al.Space-time-shift imaging condition and migration velocity analysis[J].Chinese Journal of Geophysics，2008，51(6)：1883-1891.[刘守伟，王华忠，程玖兵，等.时空移动成像条件及偏移速度分析[J].地球物理学报，2008，51(6)：1883-1891.]
[2]Cheng Jiubing，Wang Huazhong，Ma Zaitian.Double square root equation migration methods of narrow azimuth seismic data[J].Chinese Journal of Geophysics，2005，48(2)：399-405.[程玖兵，王华忠，马在田.窄方位地震数据双平方根方程偏移方法探讨[J].地球物理学报，2005，48(2):399-405.]
[3]Wang Hongqi，Qu Shouli，Ning Junrui，et al.Application of tomographic inversion static correction in complex areas of western China[J].Natural Gas Geoscience，2009，20(2):258-262.[王红旗，曲寿利，宁俊瑞，等.层析反演静校正方法在西部复杂地区的应用[J].天然气地球科学，2009，20(2)：258-262.]
[4]Hu Ziduo，He Zhenhua，Wang Yuchao，et al.Comprehensive static correction and its application forhigh-steep structure in east Sichuan Basin[J].Natural Gas Geoscience，2010，21(6):1046-1053.[胡自多，贺振华，王宇超，等.综合静校正技术及其在川东高陡构造区应用效[J].天然气地球科学，2010，21(6)：1046-1053.]
[5]Sang Yunyun，Li  Zhenchun，Zhang Kai.Shortest path ray tracing based on parab-olic traveltime interpolation[J].Oil Geophysical Prospecting，201,48(3):403-409.[桑运云，李振春，[HJ1.51mm]张凯.基于抛物旅行时插值的最短路径射线追踪[J].石油地球物理勘探，201,48(3)： 403-409.]
[6]Nakanishi I，Yamaguchi K.A numerical experiment on nonlinear image reconstruction from first-arrival times for two dimensional island arc structure[J].Journal of Physical Earth，1986，34(2):195-201.
[7]Cerveny V.Seismic Ray Theory[M].Cambridge:Cambridge University Press，2001.
[8]Jech J.Three-dimensional inversion problem for inhomogeneous transversely isotropic media[J].Studia Geophysics et Geodetica，1988，32(2):136-143.
[9]Huang T,Xu S,Wang J,et al.The benefit of TTI tomography for dual azimuth data in Gulf of Mexico[J].Seg Technical Program Expanded Abstracts,1949,27(1):395-405.
[10]Liu Yuzhu，Wang Guangyin，Dong Liangguo，et al.Joint inversion of VTI parameters using nonlinear traveltime tomography[J].Chinese Journal of Geophysics，2014，57(10):3402-3410.[刘玉柱，王光银，董良国，等.VTI介质多参数联合走时层析成像方法[J].地球物理学报，2014，57(10)：3402-3410.]
[11]Yang Kai，Xing Fengyuan，Li Zhenwei，et al.3D Stereo-tomography based on the n-on-reduced Hamiltonian[J].Chinese Journal of Geophysics，2016，59(9):3366-3378.[杨锴，邢逢源，李振伟，等.基于非降阶汉密尔顿算子的三维立体层析反演[J].地球物理学报，2016，59(9)：3366-3378.]
[12]Tikhonov A.Solution of incorrectly formulated problems and the regularization method[J].Soviet Math Dokl，196,5(2):1035-1038.
[13]Zhou C，Brandsberg-Dahl S，Jiao J.A Continuation Approach to Regularize the Reflection Tomography with a 3D Gaussian Filter[C].Eage Conference and Exhibition Incorporating SPE Europec，2009.
[14]Fomel S.Shaping regularization in geophysical estimation-problems[J].Geophysics，2007，72(2):R29-R36.