瞬态瑞雷波反演横波的SVD算法及其应用

利用奇异值分解算法对瑞雷波频散曲线进行反演,提高横波速度的反演精度,引入权重矩阵提高数据分辨率,采用自适应修改阻尼因子提高迭代效果并协调分辨率与解的关系.某高速公路软土路基实测资料试算结果表明,用该算法对瞬态瑞雷波频散曲线进行反演,不但具有稳定性好、精度高、分辨能力强的特点,而且能自动分层和反演地层参数,在高速公路软土路基探测等领域中具有广阔的应用前景.

SVD ALGORITHM AND APPLICATION OF SHEAR WAVE VELOCITY INVERSION FOR INSTANTANEOUS RAYLEIGH WAVE

SVD algorithm for inversion of instantaneous Rayleigh wave is proposed in this paper, which improves shear wave precision and resolution by weight matrix, enhances iterative effect and adjusts the relation between resolution and solution by self-adaptation iterative damping factor. The inversion results of field data for some highway soft roadbed indicate that SVD algorithm not only brings good stability, high accuracy and strong resolution, but also automatically inverses shear velocity and thickness. It is proved that SVD is obviously effective and hence shows fairly good application prospects in the soft stratum roadbed detection for highway.