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3D prestack reverse time migration of ground penetrating radar data based on the normalized correlation imaging condition

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Abstract

The reverse time migration (RTM) of ground penetrating radar (GPR) is usually implemented in its two-dimensional (2D) form, due to huge computational cost. However, 2D RTM algorithm is difficult to focus the scattering signal and produce a high precision subsurface image when the object is buried in a complicated subsurface environment. To better handle the multi-offset GPR data, we propose a three-dimensional (3D) prestack RTM algorithm. The high-order finite difference time domian (FDTD) method, with the accuracy of eighth-order in space and second-order in time, is applied to simulate the forward and backward extrapolation electromagnetic fields. In addition, we use the normalized correlation imaging condition to obtain pre-stack RTM result and the Laplace filter to suppress the low frequency noise generated during the correlation process. The numerical test of 3D simulated GPR data demonstrated that 3D RTM image shows excellent coincidence with the true model. Compared with 2D RTM image, the 3D RTM image can more clearly and accurately reflect the 3D spatial distribution of the target, and the resolution of the imaging results is far better. Furthermore, the application of observed GPR data further validates the effectiveness of the proposed 3D GPR RTM algorithm, and its final image can more reliably guide the subsequent interpretation.

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References

  • Bitri, A., and Grandjean, G., 2008, Frequency-wavenumber modelling and migration of 2D GPR data in moderately heterogeneous dispersive media: Geophysical Prospecting, 46(3), 287–301.

    Article  Google Scholar 

  • Bradford, J. H., 2006, Applying reflection tomography in the postmigration domain to multifold ground-penetrating radar data: Geophysics, 71(1), K1–K8.

    Article  Google Scholar 

  • Bradford, J. H., 2015, Reverse-time prestack depth migration of GPR data from topography for amplitude reconstruction in complex environments: Journal of Earth Science, 26(6), 791–798.

    Article  Google Scholar 

  • Bradford, J. H., Ford, R., Rozar, J., et al., 2016, Reverse time migration from rugged topography to image ground-penetrating radar data in complex environments sounding: International Conference on Environment and Engineering Geophysics & Summit Forum of Chinese Academy of Engineering on Engineering Science and Technology, 115–118.

    Google Scholar 

  • Chen D. P., Dai Q. W., Feng D. S., et al., 2018, Reverse time migration of ground penetrating radar based on normalized cross correlation imaging condition: Journal of Central South University (Science and Technology) (in Chinese), 2018, 49(5): 1221–1227.

    Google Scholar 

  • Chattopadhyay, S., and McMechan, G. A., 2008, Imaging conditions for prestack reverse-time migration: Geophysics, 73(3), S81–S89.

    Article  Google Scholar 

  • Claerbout, J. F., 1971, Toward a unified theory of reflector mapping: Geophysics, 36(3), 467–481.

    Article  Google Scholar 

  • Feng, D. S., and Dai, Q. W., 2008, The migration of GPR three dimension wave equation in wavelets domain: Chinese J. Geophys (in Chinese), 51(2), 566–574.

    Article  Google Scholar 

  • Feng, D. S., Zhang, B., Dai, Q. W., et al., 2011, The application of the improved linear transformation of finite difference migration based on the velocity estimation in the GPR data processing: Chinese J. Geophys (in Chinese), 54(5), 1340–1347.

    Google Scholar 

  • Fisher, E., McMechan, G. A., Annan, A. P., et al., 1992, Examples of reverse-time migration of single-channel, ground-penetrating radar profiles: Geophysics, 57(4), 577–586.

    Article  Google Scholar 

  • Fletcher, R. P., Du, X., and Fowler, P. J., 2009, Reverse time migration in tilted transversely isotropic (TTI) media: Geophysics, 74(6), WCA179–WCA187.

    Article  Google Scholar 

  • Fu, L., Liu, S. X., Liu, L. B., et al., 2014, Airborne ground penetrating radar numerical simulation and reverse time migration: Chinese J. Geophys (in Chinese), 57(5), 1636–1646.

    Google Scholar 

  • Gedney, S. D., 1996, An anisotropic perfectly matched layer-absorbing medium for the truncation of FDTD lattices: IEEE transactions on Antennas and Propagation, 44(12), 1630–1639.

    Article  Google Scholar 

  • Gu, B., Liu, Y., Ma, X., et al., 2015, A modified excitation amplitude imaging condition for prestack reverse time migration: Exploration Geophysics, 46(4), 359–370.

    Article  Google Scholar 

  • Kaelin, B., and Guitton, A., 2006, Imaging condition for reverse time migration: Seg Technical Program Expanded Abstracts, 25(1): 2594–2598.

    Google Scholar 

  • Leuschen, C., and Plumb, R., 2000, A matched-filter approach to wave migration: Journal of applied geophysics, 43(2), 271–280.

    Article  Google Scholar 

  • Leuschen, C. J., and Plumb, R. G., 2001, A matched-filter-based reverse-time migration algorithm for ground-penetrating radar data: IEEE Transactions on Geoscience and Remote Sensing, 39(5), 929–936.

    Article  Google Scholar 

  • Li, J., Zeng, Z. F., Wu, F. S., et al., 2010, Study of three dimension high-order FDTD simulation for GPR: Chinese J. Geophys (in Chinese), 53(4), 974–981.

    Article  Google Scholar 

  • Liu, H., Long, Z., Tian, B., et al., 2017, Two-Dimensional Reverse-Time Migration Applied to GPR With a 3-D-to-2-D Data Conversion: IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 10(10), 4313–4320.

    Article  Google Scholar 

  • Liu, H. W., Liu, H., Zhou, Z., et al., 2010, The problems of denoise and storage in seismic reverse time migration: Chinese J. Geophys (in Chinese), 53(9), 2171–2180.

    Google Scholar 

  • Liu, S., Lei, L., Fu, L., et al., 2014, Application of pre-stack reverse time migration based on FWI velocity estimation to ground penetrating radar data: Journal of Applied Geophysics, 107, 1–7.

    Article  Google Scholar 

  • Lopera, O., Slob, E. C., Milisavljevic, N., et al., 2007, Filtering soil surface and antenna effects from GPR data to enhance landmine detection: IEEE Transactions on Geoscience and Remote Sensing, 45(3), 707–717.

    Article  Google Scholar 

  • Lu, X. L., Qian, R. Y., and Liu, L. B., 2016, Ground-penetrating radar finite-difference reverse time migration from irregular surface by flattening surface topography, paper presented at Ground Penetrating Radar (GPR): 2016 16th International Conference on, IEEE.

    Google Scholar 

  • Millington, T., Cassidy, N., Crocco, L., et al., 2010, Evaluating the practical performance of absorbing boundary conditions (ABC) in higher-order, finite-difference, time-domain (FDTD) GPR modelling: 2010 13th International Conference on, IEEE.

    Google Scholar 

  • Moran, M. L., Greenfield, R. J., Arcone, S. A., et al., 2000, Multidimensional GPR array processing using Kirchhoff migration: Journal of Applied Geophysics, 43(2), 281–295.

    Article  Google Scholar 

  • Sacks, Z. S., Kingsland, D. M., Lee, R., et al., 1995, A perfectly matched anisotropic absorber for use as an absorbing boundary condition: IEEE transactions on Antennas and Propagation, 43(12), 1460–1463.

    Article  Google Scholar 

  • Schleicher, J., Costa, J. C., and Novais, A., 2008, A comparison of imaging conditions for wave-equation shot-profile migration: Geophysics, 73(6), S219–S227.

    Article  Google Scholar 

  • Sena, A. R., Stoffa, P. L., and Sen, M. K., 2006, Split-step Fourier migration of GPR data in lossy media: Geophysics, 71(4), K77–K91.

    Article  Google Scholar 

  • Streich, R., Van, D. K. J., and Green, A. G., 2007, Vector-migration of standard copolarized 3D GPR data: Geophysics, 72(5), J65–J75.

    Article  Google Scholar 

  • Wang, J. Y., Zhao, C. Q., and Chen, B. Y., 2006, An implementation method of FDTD (2M, 2N): Journal of Chengdu University of Information Technology (in Chinese), 21(4), 559–561.

    Google Scholar 

  • Zhang, Z., Liu, Y. S., Xu, T., et al., 2013, A stable excitation amplitude imaging condition for reverse time migration in elastic wave equation: Chinese J. Geophys (in Chinese), 56(10), 3523–3533.

    Google Scholar 

  • Zhu, T., Harris, J. M., and Biondi, B., 2014, Q-compensated reverse-time migration: Geophysics, 79(3), S77–S87.

    Article  Google Scholar 

  • Zhu, W. Q., and Huang Q. H., 2016, Attenuation compensated reverse time migration method of ground penetrating radar signals: Chinese J. Geophys (in Chinese), 59(10), 3909–3916.

    Google Scholar 

  • Zhu, W. Q, Huang, Q. H., Liu, L. B., et al., 2020, Three-dimensional reverse time migration of ground-penetrating radar signals: Pure and Applied Geophysics, 177(2), 853–865.

    Article  Google Scholar 

  • Zhuge, X., Yarovoy, A. G., Savelyev, T., et al., 2010, Modified Kirchhoff migration for UWB MIMO array-based radar imaging: IEEE Transactions on Geoscience and Remote Sensing, 48(6), 2692–2703.

    Article  Google Scholar 

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Acknowledgements

The authors thank Dr Liu Hai from Guangzhou University and Dr Ibrar iqbal from Guilin University of Technology for meaningful discussions, and also express our gratitude to the reviewers for their constructive comments to improve our manuscript.

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Correspondence to Hong-Hua Wang.

Additional information

This work is supported by the National Natural Science Foundation of China (No. 41604039, 41604102, 41764005, 41574078) and Guangxi Natural Science Foundation project (No. 2020GXNSFAA159121, 2016GXNSFBA380215).

Wang Honghua graduated from central south university with PhD in 2015. He is now an Associate Professor at the College of Earth Sciences, Guilin University of Technology. His research interest are Ground Penetrating Radar numerical simulation and data processing.

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Wang, HH., Gong, Jb., Zhang, Z. et al. 3D prestack reverse time migration of ground penetrating radar data based on the normalized correlation imaging condition. Appl. Geophys. 17, 709–718 (2020). https://doi.org/10.1007/s11770-020-0871-1

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  • DOI: https://doi.org/10.1007/s11770-020-0871-1

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