| 黏弹性与弹性介质中Rayleigh面波特性对比研究 |
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| 引用本文： | 高静怀, 何洋洋, 马逸尘. 黏弹性与弹性介质中Rayleigh面波特性对比研究[J]. 地球物理学报, 2012, 55(1): 207-218, doi: 10.6038/j.issn.0001-5733.2012.01.020 |
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| 作者姓名： | 高静怀 何洋洋 马逸尘 |
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| 作者单位： | 1. 西安交通大学电信学院波动与信息研究所, 西安 710049; 2. 西安交通大学理学院, 西安 710049; 3. 海洋石油勘探国家工程实验室, 西安 710049 |
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| 基金项目： | 国家自然科学基金，国家863计划项目 |
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| 摘 要： | Rayleigh面波的频散特性可以用来研究地表浅层结构. 本文使用时域有限差分法来模拟复杂黏弹性介质中的Rayleigh面波,研究了Q值对面波频散特性的影响.文中采用旋转交错网格有限差分,以非分裂卷积形式的完全匹配层为吸收边界,推出了求解二阶位移-应力各向同性黏弹性波动方程的数值方法.为了检验数值解的精度,首先将简单模型的正演结果与解析解对比,验证了方法的正确性;然后模拟了横向缓变层状介质和含有洞穴的介质中的面波,对弹性和黏弹性介质中的面波的频散特性进行对比分析.模拟结果表明浅层Q值对面波的频散特性有显著的影响;强吸收情况下,高阶面波的能量相对低阶面波能量显著增强.
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| 关 键 词： | 黏弹性介质 Rayleigh面波 频散特性 |
| 收稿时间： | 2011-04-06 |
| 修稿时间： | 2011-06-28 |
Comparison of the Rayleigh wave in elastic and viscoelastic media |
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| GAO Jing-Huai, HE Yang-Yang, MA Yi-Chen. Comparison of the Rayleigh wave in elastic and viscoelastic media[J]. Chinese Journal of Geophysics (in Chinese), 2012, 55(1): 207-218, doi: 10.6038/j.issn.0001-5733.2012.01.020 |
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| Authors: | GAO Jing-Huai HE Yang-Yang MA Yi-Chen |
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| Affiliation: | 1. Institute of Wave and Information, School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an 710049, China; 2. School of Science, Xi'an Jiaotong University, Xi'an 710049, China; 3. National Engineering Laboratory for Offshore Oil Exploration, Xi'an 710049, China |
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| Abstract: | Dispersion properties of Rayleigh-type surface waves can be used for imaging and characterizing the shallow subsurface.This paper models Rayleigh waves in complex viscoelastic media by using the time-domain finite difference method on the rotated staggered grid.We compared the dispersion properties of the viscoelastic Rayleigh wave with the elastic one.We proposed a method to model the Rayleigh wave based on the second-order displacement-stress viscoelastic wave equations and the unsplit convolutional perfectly matched layer absorbing boundary condition.The validity of our method is tested by two examples.Then,the wave fields are calculated in a laterally heterogeneous media and a media with cavity.We analyzed the dispersion properties of the Rayleigh waves.The dispersion curve varies considerably with quality factor Q in shallow subsurface;the higher modes of Rayleigh waves are generated and possess significant amounts of energy for strong attenuation. |
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| Keywords: | Viscoelastic media Rayleigh wave Dispersion properties |
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