基于优化Adam算法的GPR全波形反演OA
GPR full waveform inversion based on optimized Adam algorithm
探地雷达(GPR)时间域双参数全波形反演一直受反演精度欠佳、参数相互干扰、计算量巨大以及容易陷入局部极小值等问题困扰.为了应对这些问题,将Adam 算法引入了GPR 时间域全波形反演.此方法由于无需进行迭代步长的计算,大大降低了内存占用和计算的复杂程度,进而提升了反演的效率与精度.首先对参数调节因子在反演中所产生的影响展开分析;其次探讨单尺度与多尺度串行反演策略的优势和不足.为了获取适用于全波形反演(FWI)的 Adam超参数,对不同的超参数给 Adam 算法反演效果带来的影响进行了测试,并提出了更契合全波形反演的优化参数,并采用Overthrust 模型的合成数据测试.实验结果表明,相较于采用预设参数的Adam算法与L-BFGS算法的全波形反演,优化超参数的Adam算法在收敛速度与反演精度上均展现出优势.最后,针对含脱空病害的公路模型,采用均匀介质为初始模型进行反演,参数优化的Adam算法反演结果仍略微优于L-BFGS算法.
Ground-penetrating radar(GPR)time-domain two-parameter full-waveform inversion has been plagued by problems such as poor inversion accuracy,parameter interferences,huge computational volume,and easy to fall into local minima.To address these problems,the Adam algorithm is introduced into the GPR time-domain full-waveform inversion.Since this method does not require iterative step-size calculation,it dramatically reduces memory consumption and computational complexity,thereby improving the efficiency and accuracy of the inversion.Firstly,the influence of parameter adjustment factors in the inversion is analyzed,and then the advantages and shortcomings of the single-scale and multi-scale serial inversion strategies are discussed.To obtain Adam hyperparameters suitable for full waveform inversion(FWI),the effects of different hyperparameters on the Adam algorithm's inversion performance are tested,and optimized parameters more suitable for FWI are proposed and evaluated using synthetic data from the Overthrust model.The experimental results show that,compared with full-waveform inversion using the Adam algorithm with preset parameters and the L-BFGS algorithm,the Adam algorithm with optimized hyperparameters achieves faster convergence and higher inversion accuracy.Finally,for the inversion of the road model with cavitation disease,the parameter-optimized Adam algorithm still slightly outperforms the L-BFGS algorithm when the uniform medium is used as the initial model.
DENG Huan;CAO Ligang;PANG Rong;HU Jun
College of Geophysics,Chengdu University of Technology,Chengdu 610059,China||Key Laboratory of Earth Exploration and Information Techniques,Ministry of Education,Chengdu 610059,ChinaCollege of Geophysics,Chengdu University of Technology,Chengdu 610059,China||Key Laboratory of Earth Exploration and Information Techniques,Ministry of Education,Chengdu 610059,ChinaCollege of Geophysics,Chengdu University of Technology,Chengdu 610059,China||Key Laboratory of Earth Exploration and Information Techniques,Ministry of Education,Chengdu 610059,ChinaCollege of Geophysics,Chengdu University of Technology,Chengdu 610059,China||Key Laboratory of Earth Exploration and Information Techniques,Ministry of Education,Chengdu 610059,China
天文与地球科学
全波形反演GPR多尺度Adam参数优化
full waveform inversionGPRmulti-scaleAdamparameter optimization
《物探化探计算技术》 2026 (1)
47-57,11
"十四五"国家重点研发计划项目(2022YFC3003202-5)
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