|Table of Contents|

Quasi-2D Stochastic Inversion of Airbone Transient Eletromagnetic Data Based on Quantum-behaved Particle Swarm Optimization Algorithm(PDF)

《地球科学与环境学报》[ISSN:1672-6561/CN:61-1423/P]

Issue:
2020年第06期
Page:
722-730
Research Field:
电磁法勘探专辑
Publishing date:

Info

Title:
Quasi-2D Stochastic Inversion of Airbone Transient Eletromagnetic Data Based on Quantum-behaved Particle Swarm Optimization Algorithm
Author(s):
HE Yi-ming123 XUE Guo-qiang1234* ZHAO Yang123
1. Key Laboratory of Mineral Resources, Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029, China; 2. Innovation Academy of Earth Science, Chinese Academy of Sciences, Beijing 100029, China; 3. College of Earth and Planetary Sciences, University of Chinese Academy of Sciences, Beijing 100049, China; 4. Integrated Geophysical Simulation Lab(Key Laboratory of Chinese Geophysical Society), Chang'an University, Xi'an 710054, Shaanxi, China
Keywords:
airborne transient eletromagnetic method particle swarm optimization algorithm group theory quantum theory quasi-2D inversion α-Trimmed method Occam inversion focusing inversion
PACS:
P631
DOI:
10.19814/j.jese.2020.09007
Abstract:
The traditional deterministic inversion algorithm relies heavily on the initial model, which is easy to fall into the local minimum and leads to the final inversion results seriously deviate from the real model. As a relatively new stochastic inversion algorithm, particle swarm optimization(PSO)algorithm has a strong ability to jump out of local minimum. However, there are still some problems such as premature convergence and slow convergence speed, which limit the development of algorithm for 2- or 3-dimensional electromagnetic inversion. In view of the above problems, quantum-behaved particle swarm optimization was proposed to replace the traditional particle swarm optimization, and the law of quantum motion in the potential well was introduced into the particle swarm optimization algorithm, so that the particles could appear in any position with probability distribution in the potential well, which could effectively overcome the premature convergence problem caused by the aggregation of population. In addition, the quasi-2D inversion algorithm was used to replace the traditional 2-dimensional inversion algorithm. As the parameter dimension of inversion model decreases, the number of local minima was greatly reduced, which significantly improves the convergence speed of particle swarm optimization. However, if the traditional regularization process is still used in the quasi-2D inversion of particle swarm optimization, the optimization of regularization parameters will waste a lot of computing resources. Combining with the important position of global optimal particles at each measuring point in quantum-behaved particle swarm optimization in the evolution of particle swarm, the α-Trimmed method was introduced to realize fast lateral constraint inversion by parameter smoothing constraint of global optimal particle model between adjacent points. Finally, the quasi-2D inversion technique based on quantum-behaved particle swarm optimization algorithm was applied to the simulation data of airborne transient electromagnetic method with noise, and the final inversion results were in good agreement with the forward model.

References:

[1] SMITH R S,ANNAN A P,MCGOWAN P D.A Comparison of Data from Airborne,Semi-airborne,and Ground Electromagnetic Systems[J].Geophysics,2001,66(5):1379-1385.
[2] MOGI T,KUSUNOKI K,KAIEDA H,et al.Grounded Electrical-source Airborne Transient Electromagnetic(GREATEM)Survey of Mount Bandai,North-Eastern Japan[J].Exploration Geophysics,2009,40(1):1-7.
[3] ELLIOTT P.New Airborne Electromagnetic Method Provides Fast Deep-target Data Turnaround[J].The Leading Edge,1996,15(4):309-310.
[4] 薛国强,李 貅,底青云.瞬变电磁法正反演问题研究进展[J].地球物理学进展,2008,23(4):1165-1172. XUE Guo-qiang,LI Xiu,DI Qing-yun.Research Progress in TEM Forward Modeling and Inversion Calculation[J].Progress in Geophysics,2008,23(4):1165-1172.
[5] 薛国强,闫 述,底青云,等.多道瞬变电磁法(MTEM)技术分析[J].地球科学与环境学报,2015,37(1):94-100. XUE Guo-qiang,YAN Shu,DI Qing-yun,et al.Technical Analysis of Multi-transient Electromagnetic Method[J].Journal of Earth Sciences and Environment,2015,37(1):94-100.
[6] 殷长春,张 博,刘云鹤,等.航空电磁勘查技术发展现状及展望[J].地球物理学报,2015,58(8):2637-2653. YIN Chang-chun,ZHANG Bo,LIU Yun-he,et al.Review on Airborne EM Technology and Developments[J].Chinese Journal of Geophysics,2015,58(8):2637-2653.
[7] XUE G Q,CHEN W Y,YAN S.Research Study on the Short Offset Time-domain Electromagnetic Method for Deep Exploration[J].Journal of Applied Geophysics,2018,155:131-137.
[8] RAO C R,MITRA S K.Generalized Inverse of a Matrix and Its Applications[M]∥LE CAM L M, NEYMAN J,SCOTT E L.Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability,Volume 1:Theory of Statistics.Berkeley:University of California Press,1972:601-620.
[9] ZHANG J,MACHIE R L,MADDEN T R.3D Resistivity Forward Modeling and Inversion Using Conjugate Gradients[J].Geophysics,1995,60(5):1313-1325.
[10] AVDEEV D,AVDEEVA A.3D Magnetotelluric Inversion Using a Limited-memory Quasi-Newton Optimization[J].Geophysics,2009,74(3):45-57.
[11] LINES L R,TREITEL S.A Review of Least-squares Inversion and Its Application to Geophysical Problem[J].Geophysical Prospecting,1984,32(2):159-186
[12] CHEESMAN S J,EDWARDS R N,CHAVE A D.On the Theory of Sea-floor Conductivity Mapping Using Transient Electromagnetic Systems[J].Geophysics,1987,52(2):204-217.
[13] LI X,XUE G Q,SONG J P,et al.Application of the Adaptive Shrinkage Genetic Algorithm in the Feasible Region to TEM Conductive Thin Layer Inversion[J].Applied Geophysics,2005,2(4):204-210.
[14] 嵇艳鞠,徐 鹏,赵雪娇,等.基于PCA-RBF神经网络的航空飞行几何参数拟合[J].地球物理学报,2016,59(4):1498-1505. JI Yan-ju,XU Peng,ZHAO Xue-jiao,et al.Geometric Parameter Fitting of Air Flight Based on PCA-BRF Neural Network[J].Chinese Journal of Geophysics,2016,59(4):1498-1505.
[15] OLALEKAN F,DI Q Y.Particle Swarm Optimization Method for Stochastic Inversion of MTEM Data[J].IEEE Geoscience and Remote Sensing Letters,2018,15(12):1832-1836.
[16] LI H,XUE G Q,HE Y M.Decoupling Induced Polari-zation Effect from Time Domain Electromagnetic Data in Bayesian Framework[J].Geophysics,2019,84(6):59-63.
[17] CAI Y J,SUN J,WANG J,et al.Optimizing the Codon Usage of Synthetic Gene with QPSO Algorithm[J].Journal of Theoretical Biology,2008,254(1):123-127.
[18] OMKAR S N,KHANDELWAL R,ANANTH T V S,et al.Quantum Behaved Particle Swarm Optimization(QPSO)for Multi-objective Design Optimization of Composite Structures[J].Expert Systems with Applications,2009,36(8):11312-11322.
[19] JAU Y M,JENG J T,SU K L.Modeling of Fuzzy Integral Based Nonlinear Multi-regressions Systems with QPSO-GS[C]∥IEEE.IEEE International Conference on Fuzzy Systems.Taipei:IEEE,2011:2839-2844.
[20] DING W,LIN C T,PRASAD M,et al.A Layered-coevolution-based Attribute-boosted Reduction Using Adaptive Quantum Behavior PSO and Its Consistent Segmentation for Neonates Brain Tissue[J].IEEE Transactions on Fuzzy Systems,2017,26(3):1177-1191.
[21] FERNANDEZ-ALVAREZ J P,FERNANDEZ-MARTINEZ J L,GARCIA-GONZALO E,et al.Application of a Particle Swarm Optimisation(PSO)Algorithm to the Solution and Appraisal of the VES Inverse Problem[C]∥IAMG.Society for Mathematical Geology 6th International Congress.Liege:IAMG,2006:12-17.
[22] FERNANDEZ-MARTINEZ J L,GARCIA-GONZALO E,FERNANDEZ-ALVAREZ J P,et al.PSO:A Powerful Algorithm to Solve Geophysical Inverse Problems:Application to A 1D-DC Resistivity Case[J].Journal of Applied Geophysics,2010,71(1):13-25.
[23] 程久龙,李明星,肖艳丽,等.全空间条件下矿井瞬变电磁法粒子群优化反演研究[J].地球物理学报,2014,57(10):3478-3484. CHENG Jiu-long,LI Ming-xing,XIAO Yan-li,et al.Study on Particle Swarm Optimization Inversion of Mine Transient Electromagnetic Method in Whole-space[J].Chinese Journal of Geophysics,2014,57(10):3478-3484.
[24] DAVOODI E,HAGH M T,ZADEH S G.A Hybrid Improved Quantum-behaved Particle Swarm Optimization-simplex Method(IQPSOS)to Solve Power System Load Flow Problems[J].Applied Soft Computing,2014,21:171-179.
[25] SUN J,FENG B,XU W B.Particle Swarm Optimization with Particles Having Quantum Behavior[C]∥IEEE.Proceedings of the 2004 Congress on Evolutionary Computation.Portland:IEEE,2004:1112-1124.
[26] XIA Y,FENG Z K,NIU W J,et al.Simplex Quantum-behaved Particle Swarm Optimization Algorithm with Application to Ecological Operation of Kascade Hydropower Reservoirs[J].Applied Soft Computing,2019,84:105715.
[27] IWAMATSU M.Multi-species Particle Swarm Optimizer for Multimodal Function Optimization[J].IEICE Transactions on Information and Systems,2006,89(3):1181-1187.
[28] AUKEN E,CHRISTIANSEN A V.Layered and Late-rally Constrained 2D Inversion of Resistivity Data[J].Geophysics,2004,69(3):752-761.
[29] BEDNAR J B,WATT T L.Alpha-trimmed Means and Their Relationship to Median Filters[J].IEEE Tran-sactions on Acoustics,Speech,and Signal Processing,1984,32(1):145-153.
[30] KENNEDY J,EBERHART R.Particle Swarm Optimization[C]∥IEEE.Proceedings of IEEE International Conference on Neural Networks.Perth:IEEE,1995:1942-1948.
[31] CLERC M,KENNEDY J.The Particle Swarm-explosion,Stability,and Convergence in a Multidimensional Complex Space[J].IEEE Transactions on Evolutionary Computation,2002,6(1):58-73.
[32] JUANG C F.A Hybrid of Genetic Algorithm and Particle Swarm Optimization for Recurrent Network Design[J].IEEE Transactions on Systems,Man,and Cybernetics,Part B:Cybernetics,2004,34(2):997-1006.
[33] FAN S K S,ZAHARA E.A Hybrid Simplex Search and Particle Swarm Optimization for Unconstrained Optimization[J].European Journal of Operational Research,2007,181(2):527-548.
[34] LI S T,TAN M K,TSANG I W,et al.A Hybrid PSO-BFGS Strategy for Global Optimization of Multimodal Functions[J].IEEE Transactions on Systems,Man and Cybernetics,Part B:Cybernetics,2011,41(4):1003-1014.

Memo

Memo:
-
Last Update: 2020-12-20