Journal of Jilin University(Earth Science Edition) ›› 2018, Vol. 48 ›› Issue (2): 384-393.doi: 10.13278/j.cnki.jjuese.20170262

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Three-Dimensional Fast Gravity Inversion Using Parallel Preconditioned Algorithm

Wang Taihan1, Huang Danian1, Ma Guoqing1, Li Ye2, Lin Song1   

  1. 1. College of GeoExploration Science and Technology, Jilin University, Changchun 130026, China;
    2. Jilin Provincial Electric Power Survey and Design Institute, Changchun 130021, China
  • Received:2017-09-23 Online:2018-03-26 Published:2018-03-26
  • Supported by:
    Supported by National Key Research and Development Program of China(2017YFC0602203,2017YFC0601606), National Science and Technology Major Project Task (2016ZX05027-002-03) and National Natural Science Foundation of China (41604098,41404089,41430322)

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Abstract: With the dramatic development of the geophysical equipment and exploration technology, the demand of rapid processing of large-scale geophysical data has been increasing. In order to solve the time-consuming problem of three dimensional gravity data inversion, a parallel implementation of preconditioned conjugate gradient algorithm is proposed to improve the computation efficiency. We adopted and tested two different preconditioned strategies with synthetic data, and evaluated their acceleration quality through observing the residual error of iterations and the running time. The results indicate that the symmetric successive over-relaxation (SSOR) preconditioner has a better performance with density results closer to the true model. Compared with the conventional conjugate gradient algorithm in serial code, our parallel preconditioned conjugated gradient algorithm can result in up to approximately 19x speedup. We used it to the real gravity data from the Vinton salt dome in USA, and the inversion results well delineated the location of the cap-rock, which verified the high efficiency and feasibility of this parallel preconditioned conjugate gradient algorithm in 3D fast gravity inversion.

Key words: 3D gravity inversion, preconditioned conjugate gradient algorithm, parallel algorithm, symmetric successive over-relaxation iteration method

CLC Number: 

  • P631.1
[1] 刘财, 杨宝俊, 冯晅,等. 论油气资源的多元勘探[J]. 吉林大学学报(地球科学版), 2016,46(4):1208-1220. Liu Cai, Yang Baojun, Feng Xuan, et al. Multivariate Exploration Technology of Hydrocarbon Resources[J]. Journal of Jilin University(Earth Science Edition), 2016, 46(4):1208-1220.
[2] Nettleton L L. Gravity and Magnetics in Oil Prospe-cting[M]. New York:McGraw-Hill Companies, 1976.
[3] Hinze W J. The Role of Gravity and Magnetic Methods in Engineering and Environmental Studies[J]. Geotechnical and Environmental Geophysics, 1990, 1:75-126.
[4] Li Y, Oldenburg D W. 3-D Inversion of Magnetic Data[J]. Geophysics, 1996, 61(2):394-408.
[5] Li Y, Oldenburg D W. 3-D Inversion of Gravity Data[J]. Geophysics, 1998, 63(1):109-119.
[6] Bell R E, Anderson R, Pratson L. Gravity Gradio-metry Resurfaces[J]. Leading Edge, 1997, 16(1):55-59.
[7] Lee J B. FALCON Gravity Gradiometer Technology[J]. Exploration Geophysics, 2001, 32(4):247-250.
[8] 黄大年, 于平, 底青云,等. 地球深部探测关键技术装备研发现状及趋势[J]. 吉林大学学报(地球科学版), 2012, 42(5):1485-1496. Huang Danian, Yu Ping, Di Qingyun, et al. Development of Key Instruments and Technologies of Deep Exploration Today and Tomorrow[J]. Journal of Jilin University(Earth Science Edition), 2012,42(5):1485-1496.
[9] Canning F X, Scholl J F. Diagonal Preconditioners for the EFIE Using a Wavelet Basis[J]. IEEE Transactions on Antennas & Propagation, 1996, 44(9):1239-1246.
[10] Pilkington M. 3D Magnetic Imaging Using Conjugate Gradients[J]. Geophysics, 1997, 62(4):1132-1142.
[11] Chen R S, Yung E K N, Chan C H, et al. App-lication of Preconditioned CG-FFT Technique to Method of Lines for Analysis of the Infinite-Plane Metallic Grating[J]. Microwave & Optical Technology Letters, 2000, 24(3):170-175.
[12] Chen R S, Yung K N, Chan C H, et al. Application of the SSOR Preconditioned CG Algorithm to the Vector FEM for 3D Full-Wave Analysis of Electromagnetic-Field Boundary-Value Problems[J]. IEEE Transactions on Microwave Theory & Techniques, 2002, 50(4):1165-1172.
[13] NVIDIA Corporation. NVIDIA CUDA Programming Guide[R]. Santa Clara CA:NVIDIA Corporation, 2008.
[14] Moorkamp M, Jegen M, Roberts A, et al. Massively Parallel Forward Modeling of Scalar and Tensor Gravimetry Data[J]. Computers & Geosciences, 2010, 36(5):680-686.
[15] Chen Z, Meng X, Guo L, et al. GICUDA:A Parallel Program for 3D Correlation Imaging of Large Scale Gravity and Gravity Gradiometry Data on Graphics Processing Units with CUDA[J]. Computers & Geosciences, 2012, 46(3):119-128.
[16] Liu G, Meng X, Chen Z. 3D Magnetic Inversion Based on Probability Tomography and Its GPU Implement[J]. Computers & Geosciences, 2012, 48(9):86-92.
[17] Haáz I B. Relationship Between the Potential of the Attraction of the Mass Contained in a Finite Rectangular Prism and Its First and Second Derivatives[J]. Geophysical Transactions, 1953, 2:57-66.
[18] Zhdanov M S. GeophysicalInverse Theory and Re-gularization Problems[M].Salt Lake:Elsevier Science, 2002:51-57.
[19] Szymczyk M, Szymczyk P. Matlab and Parallel Computing[J]. Image Processing & Communications, 2014, 17(4):207-216.
[20] Oliveira V C Jr, Barbosa V C F. 3-D Radial Gravity Gradient Inversion[J]. Geophysical Journal International, 2013, 195(2):883-902.
[21] Geng M, Huang D, Yang Q, et al. 3D Inversion of Airborne Gravity-Gradiometry Data Using Cokriging[J]. Geophysics, 2014, 79(4):G37-G47.
[22] Wang T H, Huang D N, Ma G Q, et al. Improved Preconditioned Conjugate Gradient Algorithm and Application in 3D Inversion of Gravity-Gradiometry Data[J]. Applied Geophysics,2017, 14(2):301-313.
[23] Ennen C. Structural Mapping of the Vinton Salt Dome, Louisiana, Using Gravity Gradiometry Data[J]. Seg Technical Program Expanded Abstracts, 2011, 30(1):830-835.
[24] Marfurt K J, Zhou H W, Sullivan E C. Development and Calibration of New 3-D Vector Vsp Imaging Technology:Vinton Salt Dome, LA[R]. Houston:University of Houston, 2004.
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