基于奇异值分解算法的瑞雷波相速度反演研究

进行瑞雷波相速度反演时，在对其频散曲线的线性化过程中，因误差的引入会导致系数矩阵奇异或近似奇异。为解决此问题，利用奇异值分解算法进行瑞雷波相速度反演，可提高低速软弱夹层的反演精度和可靠性；反演时引入权重矩阵提高了数据分辨率；采用自适应修改阻尼因子以提高迭代效果并协调分辨率与解的关系。实测资料试算结果表明，利用奇异值分解算法对瑞雷波相速度进行反演，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。

Study of inversion of phase velocity of Rayleigh wave based on singular value decomposition algorithm

In the inversion of phase velocity of Rayleigh wave,during the linearization process of its dispersion curve,the coefficient matrix would be singular or approximately,because of the introduction of error.Therefore,the phase velocity of Rayleigh wave was inversed using singular value decomposition,which could improve the inversion precision and reliability of low velocity weak intercalation;the introduction of weight matrix improved the resolution of the data;the iteration effect could be strengthened and th...