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| Application of particle swarm algorithm based on Lévy flight in magnetotelluric inversion |
ZHANG Yang-Yang1( ), DU Wei2(), WANG Zhi-Shui1, MIAO Xu-Huang1, ZHANG Xiang1 |
1. Geological Exploration Technology Institute of Anhui Province, Hefei 230031, China
2. Yunnan University School of Earth Sciences,Kunming 650091,China |
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Abstract Particle swarm optimization algorithm has many advantages compared with linear inversion algorithm in magnetotelluric sounding inversion.However, the standard particle swarm algorithm also suffers from premature maturity in multidimensional optimization problems.Therefore, an optimized particle swarm algorithm based on the Lévy flight randomized wandering strategy is used to escape the local optimal solution,The results show that compared with the standard particle swarm optimization algorithm, the optimized particle swarm algorithm has faster fitness decline and better optimization ability.Finally, the improved particle swarm optimization algorithm is applied to the measured data of known boreholes, and the results show that the algorithm has good practicability.
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Received: 30 June 2022
Published: 11 October 2023
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Schematic diagram of the Lévy flight trajectory after 200 iterations
a—Levy flight path;b—Levy flight step distribution
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LFPSO algorithm flow chart
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Schematic diagram of variable step FEM element nodes
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Comparison of forward results of finite element forward modeling with fixed step size and variable step in simple geoelectric model (G type)
a—comparison of apparent resistivity;b—comparison of impedance phase
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Comparison of PSO and LFPSO inversion results and theoretical values of the two-layer geoelectric model
a—G-curve comparison chart;b—D-curve comparison chart;c—the fitness value of G-curve changes iterativel;d—the fitness value of D-curve changes iterativel
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Comparison of PSO and LFPSO inversion results and theoretical values of the three-layer geoelectric model
a—H-curve comparison chart;b—K-curve comparison chart;c—the fitness value of H-curve changes iterativel; d—the fitness value of K-curve changes iterativel
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Inversion results of four different geoelectric models PSO and LFPSO algorithms
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| 模型参数 | 层号 | | 1 | 2 | 3 | 4 | 5 | 6 | | ρs/(Ω·m) | 100 | 1000 | 10 | 1000 | 10 | 1000 | | 地层厚度/m | 100 | 100 | 50 | 400 | 150 | ∞ |
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Parameters of six-layer thin-thick interlayer geoelectric model
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The filtering effect of the filter Savitzky-Golay
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Inversion results of OCCAM inversion and PSO inversion in six-layer geoelectric model
a—finite element forward resistivity and phase curve for the six-layer geoelectric model;b—result of inversion
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Inversion results of measured data at measuring points next to the drill
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