物探与化探2026，Vol.50Issue(2)：270-276,7.DOI:10.11720/wtyht.2026.1363
基于奇异值分解的岩溶区微动面波成像方法
A microtremor surface wave imaging method for Karst areas based on singular value decomposition
摘要
Abstract
The microtremor surface waves collected from karst areas,where near-surface conditions are complex,often show low signal-to-noise ratios(SNRs)and poor data quality,thus restricting the detection accuracy.Hence,this study proposed a microtremor surface wave imaging method based on singular value decomposition(SVD).First,the single-trace virtual-source empirical Green's function ob-tained by cross-correlation was reconstructed through SVD.The signal components corresponding to large singular values were extract-ed to reconstruct the wave field,thereby effectively suppressing the noise and improving the SNRs of surface waves.Second,the virtual-source multi-trace records were constructed using the reconstructed signal with high SNRs.The dispersion energy spectrum was derived through the F-K transform,obtaining significantly improved surface wave dispersion bands in terms of resolution and continuity.Third,the frequency dispersion curves were extracted from the optimized dispersion energy spectrum.The joint inversion strategy employing the genetic algorithm and damped least squares was used to further improve the imaging accuracy,considering the globally optimal solu-tion and convergence efficiency.Fourth,by integrating the inversion results of all survey points in the study area,a two-dimensional shear wave velocity profile was constructed to reveal the underground structural characteristics and the spatial distribution of karsts in the study area.The practical application in a karst area demonstrates that the proposed method can effectively improve the imaging quality of the karst area with complex near-surface conditions,providing reliable technical support for the fine-scale structure detection and geolog-ical interpretation in karst areas.关键词
微动/奇异值分解/面波成像/频散曲线/岩溶Key words
microtremor/singular value decomposition(SVD)/surface wave imaging/frequency dispersion curve/Karst分类
天文与地球科学引用本文复制引用
刘军,邢修举,李德山,连晨光..基于奇异值分解的岩溶区微动面波成像方法[J].物探与化探,2026,50(2):270-276,7.基金项目
陕西省自然科学基础研究计划项目"起伏地形多分量噪声面波有限频衰减成像与Q值反演研究"(2025JC-YBMS-282) （2025JC-YBMS-282）
