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面波基模式频散曲线提取解精度对比研究
引用本文:闫英伟,王者江,韩飞.面波基模式频散曲线提取解精度对比研究[J].世界地质,2017,36(3):941-946.
作者姓名:闫英伟  王者江  韩飞
作者单位:吉林大学地球探测科学与技术学院, 长春 130026
摘    要:针对不同方法提取面波基模式频散曲线精度问题,笔者分别采用τ-p变换、频率分解法、F-K变换、高分辨率线性拉东变换(High-Resolution Linear Radon Transform,简称HRLRT)对六层递增型地质模型合成瑞雷波记录进行频散能量成像,并按频散能量最大值拾取基模式频散曲线。为定量评价理论模型基模式频散曲线提取解与解析解的接近程度,引入了均方差与相关系数两种评价参数。评价结果表明,高分辨率线性拉东变换提取基模式频散曲线精度最高,均方差为11.167 8,相关系数为0.994 9;F-K变换提取基模式频散曲线精度最低,均方差为195.274,相关系数为0.515 2。

关 键 词:τ-p变换  频率分解法  F-K变换  高分辨率线性拉东变换
收稿时间:2016-11-02
修稿时间:2017-05-19

Comparative study on precision to extractive solution of surface wave base mode dispersion curve
YAN Ying-wei,WANG Zhe-jiang,HAN Fei.Comparative study on precision to extractive solution of surface wave base mode dispersion curve[J].World Geology,2017,36(3):941-946.
Authors:YAN Ying-wei  WANG Zhe-jiang  HAN Fei
Institution:College of Geo-exploration Science and Technology, Jilin University, Changchun 130026, China
Abstract:For the problem of the precision of surface wave base mode dispersion curve extracted by different methods, tau-p transform, frequency decomposition, frequency-wavenumber transform and high-resolution linear Radon transform are adopted in this study to generate dispersive energy image of synthetic Rayleigh wave seismic record of six-layer incremental geophysical model. The extractive solution of base mode dispersion curve is determined by picking the maximum dispersive energy. The mean square error and correlation coefficient is introduced in order to quantitatively evaluate the proximity between the extractive solution and analytical solution of base mode dispersion curve. The evaluative result shows that the precision of the base mode dispersion curve extracted by high-resolution linear Radon transform is the highest, with mean square error of 11.167 8 and correlation coefficient of 0.994 9. The precision of the base mode dispersion curve extracted by frequency-wavenumber transform is the lowest, with mean square error of 195.274 and correlation coefficient of 0.515 2.
Keywords:" target="_blank">p transformzz')" href="#">      tau-p transform  frequency decomposition  frequency-wavenumber transform  high-resolution linear Radon transform
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