Full waveform inversion based on well logging data constraint

Du Zeyuan1 Wu Guochen1,2 Wang Yumei3

(1.School of Geosciences, China University of Petroleum (East China), Qingdao, Shandong, China 266580)
(2.Laboratory for Marine Mineral Resources, National Laboratory for Marine Science and Technology, Qingdao, Shandong, China 266580)
(3.Research Institute of Geophysics, Shengli Oilfield Branch Co., SINOPEC, Dongying, Shandong, China 257022)

【Abstract】High-precision full waveform inversion depends on both low frequency seismic data and the initial model. However, low-frequency seismic information is usually not available, and an inaccurate initial model will lead to cycle skips. At the same time, inversions might cause multi-solutions and ill-posed problems. As well-logging data are characterized by high resolution and broadband information, we take it as a constraint for full waveform inversion. We correct initial velocity models with reliable low-frequency information extracted from logging data. Then, we extend objective functions by a prior model, where the prior model drives optimization steps as a constraint to minimize the objective functions. Numerical tests on both EAGE overthrust model and real data show that the proposed inversion improves results.

【Keywords】 full waveform inversion; low frequency information; logging-data constraint; initial model; objective function;


【Funds】 National Science and Technology Major Project of the Ministry of Science and Technology of China (2016zx05024-001-008)

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    [1] Tarantola A. Inverse Problem Theory, Methods for Data Fitting and Model Parameter Estimation. Elsevier Science Publ Co Inc, Amsterdam and New York, 1987.

    [2] Tarantola A. Inversion of seismic reflection data in acoustic approximation. Geophysics, 1984, 49 (8): 1259–1266.

    [3] Petrick W R, Borup D T, Steven A J et al. Seismic borehole tomography using full waveform inversion. SEG Technical Program Expanded Abstracts, 1988, 7: 1250–1252.

    [4] Pratt R G, Shin C, Hick G J. Gauss-Newton and full Newton methods in frequency–space seismic waveform inversion. Geophysical Journal International, 1998, 133 (2): 341–362.

    [5] Pratt R G. Seismic waveform inversion in the frequency domain, Part 1: Theory and verification in a physical scale model. Geophysics, 1999, 64 (3): 888–901.

    [6] Shin C, Cha Y H. Waveform inversion in the Laplace domain. Geophysical Journal International, 2008, 173 (3): 922–931.

    [7] Sirgue L, Barkved O I, Van Gestel J P et al. 3D waveform inversion on Valhall wide-azimuth OBC. EAGE 71st Conference and Exhibition Extended Abstracts, 2009.

    [8] Warner M, Umpleby A, Stekl I et al. 3D full-wavefield tomography: imaging beneath heterogeneous overburden. EAGE 72st Conference and Exhibition Extended Abstracts, 2010.

    [9] Pratt R G, Song Z M, Williamson P et al. Two-dimensional velocity models from wide-angle seismic data by waveform inversion. Geophysical Journal International, 1996, 124 (2): 323–340.

    [10] Smithyman B, Pratt G, Hayles J et al. Detecting nearsurface objects with seismic waveform tomography. Geophysics, 2009, 74 (6): WCC119-WCC127.

    [11] Virieux J, Operto S. An overview of full-waveform inversion in exploration geophysics. Geophysics, 2009, 74 (6): WCC1–WCC26.

    [12] Yang Wuyang, Wang Xiwen, Yong Xueshan et al. The review of seismic full waveform inversion method. Progress in Geophysics, 2013, 28 (2): 766–776 (in Chinese).

    [13] Shah N, Warner M, Nangoo T et al. Quality assured full-waveform inversion: Ensuring starting model adequacy. SEG Technical Program Expanded Abstracts, 2012, 31.

    [14] Weibull W, Arntsen B, Nilsen E. Initial velocity models for full waveform inversion. SEG Technical Program Expanded Abstracts, 2012, 31.

    [15] Ao Ruide, Dong Liangguo, Chi Benxin. Source-independent envelope-based FWI to build an initial model. Chinese Journal of Geophysics, 2015, 58 (6): 1998–2010 (in Chinese).

    [16] Gong B, Chen G, Yingst D et al. 3D waveform inversion based on reverse time migration engine. SEG Technical Program Expanded Abstracts, 2008, 27: 1900–1904.

    [17] Baeten G, Maag J W, Plessix R E et al. The use of low frequencies in a full-waveform inversion and impedance inversion land seismic case study. Geophysical Prospecting, 2013, 61 (4): 701–711.

    [18] Duan Chaoran, Han Liguo. A joint velocity reconstruction method: principal component analysis based wavefield-reconstruction inversion combined with full waveform inversion. OGP, 2016, 51 (6): 1134–1140 (in Chinese).

    [19] Wang Yuwei, Dong Liangguo, Huang Chao et al. A multi-step strategy for mitigating severe nonlinearity in elastic full-waveform inversion. OGP, 2016, 51 (2): 288–294 (in Chinese).

    [20] Wu Guochen, Tian Jun. AVO inversion based on scale constraints. OGP, 2014, 49 (6): 1157–1164 (in Chinese).

    [21] Feng Guofeng, Han Bo, Liu Jiaqi. Widely convergent generalized pulse spectrum methods for 2D wave equation inversion. Chinese Journal of Geophysics, 2003, 46 (2): 265–270 (in Chinese).

    [22] Hu W, Abubakar A, Habashy T M. Simultaneous multifrequency inversion of full-waveform seismic data. Geophysics, 2009, 74 (2): R1–R14.

    [23] Wang Shoudong. Total variation regularization waveform inversion of crosswell seismic data. GPP, 2011, 50 (3): 234–240 (in Chinese).

    [24] Han B, Fu H S, Liu H. A homotopy method for welllog constraint waveform inversion. Geophysics, 2007, 72 (1): R1–R7.

    [25] Fu Hongsun, Cao Li, Han Bo. A homotopy perturbation method for well log constrained seismic waveform inversion. Chinese Journal of Geophysics, 2012, 55 (9): 3173–3179 (in Chinese).

    [26] Asnaashari A, Brossier R, Garambois S et al. Regularized seismic full waveform inversion with prior model information. Geophysics, 2013, 78 (2): R25–R36.

    [27] Cheng Jingwang, LüXiaochun, Gu Hanming et al. Full waveform inversion with Cauchy distribution in the frequency domain. OGP, 2014, 49 (5): 940–945 (in Chinese).

    [28] Ren Haoran. A Study of the Seismic Wave Inversion Method for Imaging in the Acoustic Media [D]. Tongji University, Shanghai, 2011 (in Chinese).

    [29] Mora P. Nonlinear two-dimensional elastic inversion of multioffset seismic data. Geophysics, 1987, 52 (9): 1211–1228.

This Article



Vol 52, No. 06, Pages 1184-1192+1119

December 2017


Article Outline


  • 1 Introduction
  • 2 Theoretical method
  • 3 Modeling trials
  • 4 Application
  • 5 Conclusion and discussion
  • References