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Volume 26 Issue 4
Aug 2015
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Wei Huang, Hua-Wei Zhou. Least-Squares Seismic Inversion with Stochastic Conjugate Gradient Method. Journal of Earth Science, 2015, 26(4): 463-470. doi: 10.1007/s12583-015-0553-8
Citation: Wei Huang, Hua-Wei Zhou. Least-Squares Seismic Inversion with Stochastic Conjugate Gradient Method. Journal of Earth Science, 2015, 26(4): 463-470. doi: 10.1007/s12583-015-0553-8

Least-Squares Seismic Inversion with Stochastic Conjugate Gradient Method

doi: 10.1007/s12583-015-0553-8
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  • Corresponding author: Hua-Wei Zhou, hzhou3@central.uh.edu
  • Received Date: 08 Sep 2014
  • Accepted Date: 13 Feb 2015
  • Publish Date: 12 Aug 2015
  • With the development of computational power, there has been an increased focus on data-fitting related seismic inversion techniques for high fidelity seismic velocity model and image, such as full-waveform inversion and least squares migration. However, though more advanced than conventional methods, these data fitting methods can be very expensive in terms of computational cost. Recently, various techniques to optimize these data-fitting seismic inversion problems have been implemented to cater for the industrial need for much improved efficiency. In this study, we propose a general stochastic conjugate gradient method for these data-fitting related inverse problems. We first prescribe the basic theory of our method and then give synthetic examples. Our numerical experiments illustrate the potential of this method for large-size seismic inversion application.

     

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  • Claerbout, J. F., 2010. Basic Earth Imaging. © November 17, 2010. 67–69
    Dai, W., Wang, X., Schuster, G. T., 2011. Least-Squares Migration of Multisource Data with a Deblurring Filter. Geophysics, 76(5): R135–R146. doi: 10.1190/geo2010-0159.1
    Fletcher, R., Reeves, C., 1964. Function Minimization by Conjugate Gradients. The Computer Journal, 7(2): 149–154. doi: 10.1093/comjnl/7.2.149
    Godwin, J., Sava, P., 2010. Blended Source Imaging by Amplitude Encoding. SEG Technical Program Expanded Abstracts 2010, 3125–3129. doi: 10.1190/1.3513495
    Huang, W., Ma, H. D., Vigh, D., et al., 2013. Velocity Model Building with Long-Offset and Full-Azimuth Data: A Case History for Full-Waveform Inversion. SEG Technical Program Expanded Abstracts 2013, 32: 4750–4754. doi: 10.1190/segam2013-1230.1
    Jiang, H., Wilford, P., 2012. A Stochastic Conjugate Gradient Method for the Approximation of Functions. Journal of Computational and Applied Mathematics, 236(9): 2529–2544. doi: 10.1016/j.cam.2011.12.012
    Krebs, J. R., Anderson, J. E., Hinkley, D., et al., 2009. Fast Full-Wavefield Seismic Inversion Using Encoded Sources. Geophysics, 74(6): WCC177–WCC188. doi: 10.1190/1.3230502
    Nemeth, T., Wu, C. J., Schuster, G. T., 1999. Least-Squares Migration of Incomplete Reflection Data. Geophysics, 64(1): 208–221. doi: 10.1190/1.1444517
    Saad, Y., 2003. Iterative Methods for Sparse Linear Systems. SIAM. 105–127. doi: 10.1137/1.9780898718003
    Schraudolph, N. N., Graepel, T., 2003, Combining Conjugate Direction Methods with Stochastic Approximation of Gradients. In: Proc. 9th Intl. Workshop Artificial Intelligence and Statistics (AIstats), Society for Artificial Intelligence and Statistic. 7–13
    Suh, S. Y., Yeh, A., Wang, B., et al., 2010. Cluster Programming for Reverse Time Migration. The Leading Edge, 29(1): 94–97. doi: 10.1190/1.3284058
    Tarantola, A., 1984. Inversion of Seismic Reflection Data in the Acoustic Approximation. Geophysics, 49: 1259–1266 doi: 10.1190/1.1441754
    Tibshirani, R., 1996. Regression Shrinkage and Selection via the LASSO. J. Royal Statistical Society, 58(1): 267–288 doi: 10.1111/j.2517-6161.1996.tb02080.x
    van Leeuwen, T. V., Aravkin, A. Y., Herrmann, F. J., 2011. Seismic Waveform Inversion by Stochastic Optimization. International Journal of Geophysics, 2011: 1–18. doi: 10.1155/2011/689041
    Vigh, D., Starr, E. W., 2008. 3D Prestack Plane-Wave, Full-Waveform Inversion. Geophysics, 73(5): VE135–VE144. doi: 10.1190/1.2952623
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