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Biot理论的唯象修正对S波特性的影响
引用本文:席道瑛,易良坤,田象燕.Biot理论的唯象修正对S波特性的影响[J].地球物理学报,2003,46(6):814-820.
作者姓名:席道瑛  易良坤  田象燕
作者单位:中国科学技术大学地球与空间科学院;第三世界科学院中国科学技术大学地球科学及天文学高级研究中心,合肥 230026
基金项目:国家自然科学基金项目 ( 4 0 1740 5 0 )
摘    要:将复模量引入Biot方程后,在一维条件下通过S波的波动方程研究了S波的传播特性,S波的数值分析显示在频率域或温度域上都能获得热弛豫衰减峰和Biot衰减峰. 在频率域上由于温度的变化引起两峰相向位移,在温度域上,因频率的变化也发生相对移动. 随着温度和频率的不断提高,两峰发生叠加,叠加后两峰互换位置. 低频或低温段的热弛豫峰移到了高频或高温段,高频或高温段的Biot峰移到了低频或低温段.由于两峰的衰减机制不同,导致S波波速随频率或温度变化规律的复杂性. 这些规律已部分被共振实验所证实,证实该理论模型具有实验基础.

关 键 词:热弛豫衰减峰  Biot衰减峰  S波波速  频散  
文章编号:0001-5733(2003)06-0814-07
收稿时间:2002-7-9
修稿时间:2003-4-24

INFLUENCES OF PHENOMENOLOGICAL MODIFICATION OF BIOT THEORY ON CHARACTERISTICS OF S-WAVE
XI DAOYING.INFLUENCES OF PHENOMENOLOGICAL MODIFICATION OF BIOT THEORY ON CHARACTERISTICS OF S-WAVE[J].Chinese Journal of Geophysics,2003,46(6):814-820.
Authors:XI DAOYING
Institution:Dept. of Earth and Space Science, Univ. of Sci. and Tech. of China, Hefei 230026,China
Abstract:Propagation characteristics of S-wave are studied through one-dimensional S-wave equation after complex modulus is introduced into the Biot equation. Numeric analysis of S-wave shows that thermal relaxation attenuation peak and Biot attenuation peak appear in both frequency domain and temperature domain. Temperature changes cause relative shift of the two peaks in frequency domain,and frequency changes cause relative shift in temperature domain. As temperature and frequency increase continuously, the two peaks will overlap each other, then they change their position. It means that thermal relaxation peak in low-frequency area or low-temperature area moves to the high-region, while Biot peak in high-frequency or high-temperature region moves to low-frequency or low-temperature area. Difference between attenuation mechanisms of the two peaks causes the complexity of changing pattern of S-wave velocity with increasing frequency or temperature. These rules have been partially testified by resonance tests. So it is confirmed that the theoretical model has experimental foundations.
Keywords:Thermal relaxation attenuation peak  Biot attenuation peak  S-wave velocity  Frequency effect  
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