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Multi-scale full waveform inversion method using combined source encoding |
GUO Yun-Dong( ) |
Geophysical Exploration Research Institute,Zhongyuan Oilfield Company of Sinopec,Puyang 457001,China |
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Abstract Full waveform inversion (FWI) is one of the most accurate velocity inversion tools.It can be used to obtain high-precision subsurface structures through iterative inversion and provide a more accurate velocity field for prestack imaging technology,thus satisfying the increasingly complex demand for petroleum exploration and development.However,FWI requires accurately estimated source wavelets,which are very difficult to extract from the seismic data collected in the field.Furthermore,in the inversion process,there is a strong nonlinear relationship between model parameters and observed data,which is liable to induce cycle skipping.To overcome the cycle skipping and the difficulty in extracting seismic wavelets in the inversion process of medium-low wavenumber,this paper developed a multi-scale waveform inversion method using combined source encoding.Specifically,the wavelets and seismic data were combined by applying time-shift stacking,and gradients can be determined through only one calculation of reverse time migration.According to the calculation results using a model,the FWI method using combined source encoding can be used to achieve multi-scale inversion and obtain more stable inversion results.Meanwhile,relatively accurate inversion results can be obtained by combining this method with a source-independent method.
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Received: 12 April 2021
Published: 21 June 2022
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Waveform diagram in time domain of different wavelet a—Rake wavelet waveform with dominant frequency of 15 Hz;b—half wavelength combined source waveform
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Spectrogram of different wavelet spectrum a—Rake wavelet spectrum with dominant frequency of 15 Hz;b—half wavelength combined source spectrum
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Cross correlation of different wavelets
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The flow of combine coding FWI
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The waveform inversions velocity model with the real model(a) and the initial model(b)
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Different shot gathers generated by the Marmousi model using the Rake wavelet and the combine gather of different shot gathers a—single shot gather generated by the Marmousi model using the Rake wavelet;b—single shot gather with the combined source;c—super shot gather with polarity coding;d—super shot gather with the combined source
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The inversion results for with conventional FWI(a) and FWI using combine source inversion strategy(b)
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Convergence curves of different multi-source FWIs
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The inversion results with different combined time shift parameter a—combined time shift parameters τ=0.25λ;b—combined time shift parameters τ=1.0λ
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The inversion results using combine-source multi-scale source independent FWI
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[1] |
Tarantola A. Inversion of seismic reflection data in the acoustic approximation[J]. Geophysics, 1984, 49(8):1259-1266.
|
[2] |
Tarantola A. Inverse problem theory:Methods for data fitting and model parameter estimation[J]. Physics of the Earth & Planetary Interiors, 1987, 57(3):350-351.
|
[3] |
Song Z M, Williamson P R, Pratt R G. Frequency-domain acoustic-wave modeling and inversion of crosshole data:Part II—Inversion method,synthetic experiments and real-data results[J]. Geophysics, 1995, 60(3):796-809.
|
[4] |
Pratt R G. Seismic waveform inversion in the frequency domain,Part 1:Theory and verification in a physical scale model[J]. Geophysics, 1999, 64(3):888-901.
|
[5] |
Mora P. Nonlinear two-dimensional elastic inversion of multi-offset seismic data[J]. Geophysics, 1987, 52(9):1211-1228.
|
[6] |
Wang G C, Du Q Z. Elastic full waveform inversion based on envelope objective function[J]. Geophysical Prospecting for Petroleum, 2016, 55(1):133-141.
|
[7] |
Plessix R E, Rynja H. VTI full waveform inversion:A parameterization study with a narrow azimuth streamer data example[C]// SEG Technical Program Expanded Abstracts 2010,Society of Exploration Geophysicists, 2010:962-966.
|
[8] |
刘玉柱, 黄鑫泉, 万先武, 等. 各向异性介质弹性波多参数全波形反演[J]. 地球物理学报, 2019, 62(5):1809-1823.
|
[8] |
Liu Y Z, Huang X Q, Wan X W, et al. Elastic multi-parameter full-waveform inversion for anisotropic media[J]. Chinese Journal of Geophysics, 2019, 62(5):1809-1823.
|
[9] |
Kamath N, Tsvankin I. Elastic full-waveform inversion for VTI media:Methodology and sensitivity analysis[J]. Geophysics, 2016, 81(2):C53-C68.
|
[10] |
Brossier R, Operto S, Virieux J. Seismic imaging of complex onshore structures by 2D elastic frequency-domain full-waveform inversion[J]. Geophysics, 2009, 74(6):WCC105-WCC118.
|
[11] |
杨积忠, 刘玉柱, 董良国. 变密度声波方程多参数全波形反演策略[J]. 地球物理学报, 2014, 57(2):628-643.
|
[11] |
Yang J Z, Liu Y Z, Dong L G. A multi-parameter full waveform inversion strategy for acoustic media with variable density[J]. Chinese Journal of Geophysics, 2014, 57(2):628-643.
|
[12] |
Shin C, Cha Y H. Waveform inversion in the Laplace domain[J]. Geophysical Journal International, 2008, 173(3):922-931.
|
[13] |
Shin C, Young H C. Waveform inversion in the Laplace—Fourier domain[J]. Geophys. J. Int., 2009, 177(3):1067-1079.
|
[14] |
戴前伟, 陈威, 张彬. 改进型粒子群算法及其在GPR全波形反演中的应用[J]. 物探与化探, 2019, 43(1):90-99.
|
[14] |
Dai Q W, Chen W, Zhang B. Improved particle swarm optimization and its application to full-waveform inversion of GPR[J]. Geophysical and Geochemical Exploration, 2019, 43(1):90-99.
|
[15] |
胡光辉, 王立歆, 王杰, 等. 基于早至波的特征波波形反演建模方法[J]. 石油物探, 2015, 54(1):71-76.
|
[15] |
Hu G H, Wang L X, Wang J, et al. Characteristics waveform inversion based on early arrival wave[J]. Geophysical Prospecting for Petroleum, 2015, 54(1):71-76.
|
[16] |
周斯琛, 李振春, 张敏, 等. 基于截断牛顿法的频率域全波形反演方法[J]. 物探与化探, 2017, 41(1):147-152.
|
[16] |
Zhou S C, Li Z C, Zhang M, et al. Full waveform inversion in frequency domain using the truncated Newton method[J]. Geophysical and Geochemical Exploration, 2017, 41(1):147-152.
|
[17] |
Yong P, Liao W, Huang J, et al. Misfit function for full waveform inversion based on the Wasserstein metric with dynamic formulation[J]. Journal of Computational Physics, 2019, 399:108911.
|
[18] |
Claerbout J F. Fundamentals of geophysical data processing[J]. Geophysical Journal International, 1986, 86(1):217-219.
|
[19] |
Jannane M, Beydoun W, Crase E, et al. Wavelengths of earth structures that can be resolved from seismic reflection data[J]. Geophysics, 1989, 54(7):906-910.
|
[20] |
Bunks C, Saleck F M, Zaleski S, et al. Multiscale seismic waveform inversion[J]. Geophysics, 1995, 60(5):1457-1473.
|
[21] |
Sirgue L, Pratt R G. Efficient waveform inversion and imaging:A strategy for selecting temporal frequencies[J]. Geophysics, 2004, 69(1):231-248.
|
[22] |
Boonyasiriwat C, Valasek P, Routh P, et al. An efficient multiscale method for time-domain waveform tomography[J]. Geophysics, 2009, 74(6):WCC59-WCC68.
|
[23] |
Rietveld W E A, Berkhout A J. Depth migration combined with controlled illumination[J]. SEG Technical Program Expanded Abstracts, 1999, 11(1):931-934.
|
[24] |
Rietveld W E A, Berkhout A J, Wapenaar C P A. Optimum seismic illumination of hydrocarbon reservoirs[J]. Geophysics, 1992, 57(10):1334-1345.
|
[25] |
Rietveld W E A, Berkhout A J. Prestack depth migration by means of controlled illumination[J]. Geophysics, 1994, 59(5):801-809.
|
[26] |
Romero L A, Ghiglia D C, Ober C C, et al. Phase encoding of shot records in prestack migration[J]. Geophysics, 2000, 65(2):426-436.
|
[27] |
Jing X, Finn C J, Dickens T A, et al. Encoding multiple shot gathers in prestack migration[M]. Society of Exploration Geophysicists, 2000:786-789.
|
[28] |
Vigh D, Starr E W. 3D prestack plane-wave,full-waveform inversion[J]. Geophysics, 2008, 73(5):VE135-VE144.
|
[29] |
Krebs J R, Anderson J E, Hinkley D, et al. Fast full-wavefield seismic inversion using encoded sources[J]. Geophysics, 2009, 74(6):WCC177-WCC188.
|
[30] |
Tang Y. Target-oriented wave-equation least-squares migration/inversion with phase-encoded hessian[J]. Geophysics, 2009, 74(6):WCA95-WCA107.
|
[31] |
Schuster G T, Wang X, Huang Y, et al. Theory of multisource crosstalk reduction by phase-encoded statics[J]. Geophysical Journal International, 2011, 184(3):1289-1303.
|
[32] |
Guitton A, Díaz E. Attenuating crosstalk noise with simultaneous source full waveform inversion[J]. Geophysical Prospecting, 2012, 60:759-768.
|
[33] |
Huang Y, Schuster G T. Multisource least-squares migration of marine streamer and land data with frequency-division encoding[J]. Geophysical Prospecting, 2012, 60(4):663-680.
|
[34] |
黄建平, 孙陨松, 李振春, 等. 一种基于分频编码的最小二乘裂步偏移方法[J]. 石油地球物理勘探, 2014, 49(4):702-707.
|
[34] |
Huang J P, Sun Y S, Li Z C, et al. Least-squares split-step migration based on frequency-division encoding[J]. Oil Geophysical Prospecting, 2014, 49(4):702-707.
|
[35] |
Dai W, Huang Y, Schuster G T. Least-squares reverse time migration of marine data with frequency-selection encoding[J]. Geophysics, 2013, 78(4):S233-S242.
|
[36] |
胡春辉. 时间域时移多尺度全波形反演[D]. 合肥: 中国科学技术大学, 2017.
|
[36] |
Hu C H. A time-shift method for time domain multiscale full waveform inversion[D]. Hefei: University of Science and Technology of China, 2017.
|
[37] |
曲英铭, 李振春, 黄建平, 等. 基于多尺度双变网格的时间域全波形反演[J]. 石油物探, 2016, 55(2):241-250.
|
[37] |
Qu Y M, Li Z C, Huang J P, et al. Full waveform inversion based on multi-scale dual-variable grid in time domain[J]. Geophysical Prospecting for Petroleum, 2016, 55(2):241-250.
|
[38] |
Qu Y, Li Z, Huang J, et al. Multi-scale full waveform inversion for areas with irregular surface topography in an auxiliary coordinate system[J]. Exploration Geophysics, 2016, 49(1):68-80.
|
[39] |
Choi Y, Alkhalifah T. Source-independent time-domain waveform inversion using convolved wavefields:Application to the encoded multisource waveform inversion[J]. Geophysics, 2011, 76(5):R125-R134.
|
[40] |
Guo Y, Huang J, Cui C, et al. Multi-source multi-scale source-independent full waveform inversion[J]. Journal of Geophysics and Engineering, 2019, 16(3):479-492.
|
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