Abstract:In view of the non-linearity and multi-solution of the full waveform inversion,the inversion solution is easy to fall into local minimum.In the case of low frequency loss,conventional waveform inversions are weak to recover low frequency information,and the waveform inversion leads massive calculations.On one hand the multi-scales can reduce the dependency of the waveform inversion on the low-frequency information,so that the inversion solution is not easy to fall into the local minimum.On the other hand the multi-grids can reduce the cost calculation.We adopt the gradient optimization in the multi-grid and multi-scale waveform inversion to improve the inversion accuracy.Model tests show that the multi-grid and multi-scale waveform inversion can not only reduce the computational complexity,but also avoid local minimum.The proposed gradient optimization can effectively improve the inversion accuracy.
Fletcher R,Reeves C M.Function minimization by conjugate gradients.Computer Journal,1964,7(2):149-154.
[2]
Polak E,Ribiere G.Note sur la convergence de metho-de de directions conjuguees.Rev.franaise Informat.recherche Opérationnelle,1969,16(16):35-43.
[3]
Stekl I,Pratt R G.Accurate visco-elastic modeling by frequency-domain finite differences using rotated operators.Geophysics,1998,63(5):1779-1794.
[4]
Yoon K,Sang S.Improvements in time domain FWI and its applications.SEG Technical Program Expanded Abstracts,2012,doi.org/10.1190/segam2012-1535.1
[5]
Zhou H B,Amundsen L,Zhang G.Fundamental issues in full waveform inversion.SEG Technical Program Expanded Abstracts,doi.org/10.1190/segam2012-0878.1
[6]
陈永芮,李振春,秦宁等.波动方程双向照明优化的全波形反演.地球物理学进展,2013,28(6):3015-3021.Chen Yongrui,Li Zhenchun,Qin Ning et al.Full waveform inversion with wave equation bi-directional illumination optimization.Progress in Geophysics,2013,28(6):3015-3021.
[7]
陈永芮.时间域全波形反演方法研究[学位论文].山东青岛:中国石油大学(华东),2014.Chen Yongrui.Research on Full Waveform Inversion in Time Domain[D].China University of Petroleum (Huadong),Qingdao,Shandong,2014.
[8]
李志晔.基于地表参数扩展模型的波形反演方法研究[学位论文].山东青岛:中国石油大学(华东),2015.Li Zhiye.The Research on Surface-oriented Extended Waveform Inversion[D].China University of Petroleum (Huadong) Qingdao,Shandong,2015.
[9]
李志晔,李振春,刘玉金等.基于波场分离的层析波形反演方法.石油地球物理勘探,2016,51(2):295-300.Li Zhiye,Li Zhenchun,Liu Yujin et al.Tomographic waveform inversion with wave-field decomposition.OGP,2016,51(2):295-300.
[10]
Bunks C,Saleck M,Zaleski S et al.Multiscale seismic waveform inversion.Geophysics,1995,60(5):1457-1473.
[11]
孙洁.基于多尺度分析的多重网格法.宁波大学学报(理工版),2008,21(4):538-541.Sun Jie.Multiresolution based multigrid methods.Journal of Ningbo University(Technology Edition), 2008,21(4):538-541
[12]
李媛媛,李振春,张凯.频率域多尺度弹性波全波形反演.石油物探,2015,54(3),317-323.Li Yuanyuan,Li Zhenchun,Zhang Kai.Multi-scale elastic full waveform inversion in frequency domain.GPP,2015,54(3):317-323.
[13]
胡英,张东,袁建征等.Laplace-Fourier域多尺度高效全波形反演方法.石油勘探与开发,2015,42(3):338-346 Hu Ying,Zhang Dong,Yuan Jianzheng et al.An efficient multi-scale waveform inversion method in Laplace-Fourier domain.Petroleum Exploration and Development,2015,42(3):338-346
[14]
董良国,迟本鑫,陶纪霞等.声波全波形反演目标函数性态.地球物理学报,2013,56(10):3445-3460 Dong Liangguo,Chi Benxin,Tao Jixia et al.Objective function behavior in acoustic full-waveform inversion.Chinese Journal of Geophysics,2013,56(10):3445-3460.
[15]
任浩然.声介质地震波反演成像方法研究[学位论文].上海:同济大学,2011.Ren Haoran.A Study of the Seismic Wave Inversion Method for Imaging in the Acoustic Media[D].Tongji University,Shanghai,2011.
[16]
Luo Y,Schuster G T.Wave-equation traveltime + waveform inversion.SEG Technical Program Expanded Abstracts,1990,9:1223-1225.
[17]
Symes W W.Inversion of reflection seismograms by differential semblance analysis:Algorithm structure and synthetic examples.Geophysical Prospecting,1994,42(6):565-614.
[18]
秦龙,尹成,刘伟等.提高地震波照明均匀性的加密炮设计新方法.石油地球物理勘探,2016,51(4):639-646.Qin Long,Yin Cheng,Liu Wei et al.Infill shot point design for improving illumination uniformity of targets.OGP,2016,51(4):639-646.
[19]
张凯,段新意,李振春等.角度域各向异性高斯束逆时偏移.石油地球物理勘探,2015,50(5):912-918.Zhang Kai,Duan Xinyi,Li Zhenchun et al.Angle domain reverse time migration with Gaussian beams in anisotropic media.OGP,2015,50(5):912-918.