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3D density inversion of gravity gradiometry data with a multilevel hybrid parallel algorithm

  • Gravity and Magnetic Exploration Methods
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Abstract

The density inversion of gravity gradiometry data has attracted considerable attention; however, in large datasets, the multiplicity and low depth resolution as well as efficiency are constrained by time and computer memory requirements. To solve these problems, we improve the reweighting focusing inversion and probability tomography inversion with joint multiple tensors and prior information constraints, and assess the inversion results, computing efficiency, and dataset size. A Message Passing Interface (MPI)-Open Multi-Processing (OpenMP)-Computed Unified Device Architecture (CUDA) multilevel hybrid parallel inversion, named Hybrinv for short, is proposed. Using model and real data from the Vinton Dome, we confirm that Hybrinv can be used to compute the density distribution. For data size of 100×100×20, the hybrid parallel algorithm is fast and based on the run time and scalability we infer that it can be used to process the large-scale data.

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References

  • Bao H., Bielak J., Ghattas O., et al., 1998, Large-scale simulation of elastic wave propagation in heterogeneous media on parallel computers: Computer methods in applied mechanics and engineering. 152(1), 85–102.

    Article  Google Scholar 

  • Bohlen T., 2002, Parallel 3-D viscoelastic finite difference seismic modelling: Computers & Geosciences, 28(8), 887–899.

    Article  Google Scholar 

  • Cattania C., and Khalid F., 2016, A parallel code to calculate rate-state seismicity evolution induced by time dependent, heterogeneous Coulomb stress changes: Computers & Geosciences, 94, 48–55.

    Article  Google Scholar 

  • Chen, Z., Meng, X., Guo, L., and Liu, G., 2012, GICUDA: A parallel program for 3D correlation imaging of large scale gravity and gravity gradiometry data on graphics processing units with CUDA: Computers & Geosciences, 46, 119–128.

    Article  Google Scholar 

  • Coker, M. O., Bhattacharya, J. P., and Marfurt, K. J., 2007, Fracture patterns within mudstones on the flanks of a salt dome: syneresis or slumping: Gulf Coast Association of Geological Societies, 57, 125–137.

    Google Scholar 

  • Čuma, M., and Zhdanov, M. S., 2014, Massively parallel regularized 3D inversion of potential fields on CPUs and GPUs: Computers & Geosciences, 62, 80–87.

    Article  Google Scholar 

  • Ennen C., and Hall S., 2011, Structural mapping of the Vinton salt dome, Louisiana, using gravity gradiometry data: 81st Annual International Meeting, SEG, Expanded Abstracts, 830–835.

    Google Scholar 

  • Geng, M., Huang, D., Yang, Q., and Liu, Y., 2014, 3D inversion of airborne gravity-gradiometry data using cokriging: Geophysics, 79(4), 37–47.

    Article  Google Scholar 

  • Guo L., Meng X., Shil L., et al., 2009, 3-D correlation imaging for gravity and gravity gradiometry data: Chinese Journal of Geophysics, 52(2), 501–510.

    Article  Google Scholar 

  • Hou Z., Wei X., Huang D., and Sun X., 2015, Full tensor gravity gradiometry data inversion: Performance analysis of parallel computing algorithms: Applied Geophysics, 12(3), 292–302.

    Article  Google Scholar 

  • Hou Z., Huang D., and Wei X., 2016a, Fast inversion of probability tomography with gravity gradiometry data based on hybrid parallel programming: Journal of Applied Geophysics, 124, 27–38.

    Article  Google Scholar 

  • Hou, Z., Wei, X., and Huang, D., 2016b, Fast Density Inversion Solution for Full Tensor Gravity Gradiometry Data: Pure and Applied Geophysics, 173, 509–523.

    Article  Google Scholar 

  • Hou Z., 2016, Research and application of the parallel inversion algorithms based on the full tensor gravity gradiometry data: PhD Thesis, Jilin University, Changchun, Jilin, China.

    Google Scholar 

  • Hou Z., Huang D., 2017, Multi-GPU parallel algorithm design and analysis for improved inversion of probability tomography with gravity gradiometry data: Journal of Applied Geophysics, 144, 18–27.

    Article  Google Scholar 

  • Last, B. J., and Kubik, K., 1983, Compact gravity inversion: Geophysics, 48(6), 713–721.

    Article  Google Scholar 

  • Liu, G., Yan, H., Meng, X., and Chen, Z., 2014, An extension of gravity probability tomography imaging: Journal of Applied Geophysics, 102, 62–67.

    Article  Google Scholar 

  • Marfurt, K. J., Zhou, H. W., and Sullivan, E. C., 2004, Development and Calibration of New 3-D Vector VSP Imaging Technology: Vinton Salt Dome, LA. University of Houston, Houston.

    Book  Google Scholar 

  • Martin, R., Monteiller, V., Komatitsch, D., et al., 2013, Gravity inversion using wavelet-based compression on parallel hybrid CPU/GPU systems: application to southwest Ghana: Geophysical Journal International, 195, 1594–1619.

    Article  Google Scholar 

  • Mauriello P., and Patella D., 2001a, Gravity probability tomography: a new tool for buried mass distribution imaging: Geophysical Prospecting, 49(1), 1–12.

    Article  Google Scholar 

  • Mauriello P., Patella D., 2001b, Localization of maximum-depth gravity anomaly sources by a distribution of equivalent point masses: Geophysics, 66(5), 1431–1437.

    Article  Google Scholar 

  • Mauriello P, Patella D., 2008, Localization of magnetic sources underground by a probability tomography approach: Progress in Electromagnetics Research M, 3, 27–56.

    Article  Google Scholar 

  • Meng, X., Liu, G., Chen, Z., and Guo, L., 2012, 3-D gravity and magnetic inversion for physical properties based on residual anomaly correlation: Chinese Journal of Geophysics, 55(1), 304–309.

    Google Scholar 

  • Moorkamp M., Jegen M., Roberts A., et al., 2010, Massively parallel forward modeling of scalar and tensor gravimetry data: Computers & Geosciences, 36(5), 680–686.

    Article  Google Scholar 

  • Nvidia, C.U.D.A. 2014a, CUDA C Programming Guide v6.5: NVIDIA. Santa Clara, CA, USA, p.241.

    Google Scholar 

  • Nvidia, C.U.D.A. 2014b, C Best Practices Guide v6.5: NVIDIA. Santa Clara, CA, USA, p.85.

    Google Scholar 

  • Oldenburg D. W., and Li Y., 2005, Inversion for applied geophysics: A tutorial: Investigations in geophysics, 13, 89–150.

    Google Scholar 

  • Oliveira, V. C., and Barbosa, V. C., 2013, 3-D radial gravity gradient inversion: Geophysical Journal International, 195(2), 883–902.

    Article  Google Scholar 

  • Patella, D., 1997a, Introduction to ground surface self-potential tomography: Geophysical Prospecting, 45(4), 653–681.

    Article  Google Scholar 

  • Patella, D., 1997b, Self-potential global tomography including topographic effects: Geophysical Prospecting, 45(5), 843–863.

    Article  Google Scholar 

  • Pacheco, P., 2011, An introduction to parallel programming: Chinese Machine Press, Beijing [in Chinese], 142.

    Google Scholar 

  • Portniaguine, O., and Zhdanov, M. S., 1999, Focusing geophysical inversion images: Geophysics, 64(3), 874–887.

    Article  Google Scholar 

  • Portniaguine, O., and Zhdanov, M. S., 2002, 3-D magnetic inversion with data compression and image focusing: Geophysics, 67(5), 1532–1541.

    Article  Google Scholar 

  • Sheen D. H., Tuncay K., Baag C. E., et al., 2006, Parallel implementation of a velocity-stress staggered-grid finite-difference method for 2-D poroelastic wave propagation: Computers & Geosciences, 32(8), 1182–1191.

    Article  Google Scholar 

  • Thompson, S. A., and Eichelberger, O. H., 1928, Vinton Salt Dome, Calcasieu Parish, Louisiana: AAPG Bulletin, 12(4), 385–394.

    Google Scholar 

  • Zhdanov M. S., Ellis R., Mukherjee S., 2004, Three-dimensional regularized focusing inversion of gravity gradient tensor component data: Geophysics, 69(4), 925–937.

    Article  Google Scholar 

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Acknowledgments

We thank Bell Geospace Inc. for permission to use the FTG data from the Vinton Dome. The authors also are very grateful to the anonymous reviewers for the helpful comments comments and valuable suggestions which improved this manuscript significantly

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Correspondence to Zhen-Long Hou.

Additional information

Financial support by the China Postdoctoral Science Foundation (2017M621151), Northeastern University Postdoctoral Science Foundation (20180313), the Fundamental Research Funds for Central Universities (N180104020) and NSFC-Shandong Joint Fund of the National Natural Science Foundation of China (U1806208).

Hou Zhen-Long received his B.S. in Geophysics from Jilin University in 2011 and his Ph.D. in Computer Systems and Architecture from Jilin University in 2016. He is currently a postdoctoral fellow in Northeastern University. His main research interests are gravity & magnetic exploration data processing & interpretation, and parallel computing methods.

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Hou, ZL., Huang, DN., Wang, ED. et al. 3D density inversion of gravity gradiometry data with a multilevel hybrid parallel algorithm. Appl. Geophys. 16, 141–152 (2019). https://doi.org/10.1007/s11770-019-0763-4

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  • DOI: https://doi.org/10.1007/s11770-019-0763-4

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