Seismic wave propagating in Kelvin-Voigt homogeneous visco-elastic media

作     者：YUAN Chunfang1, PENG Suping1, ZHANG Zhongjie2 & LIU Zhenkuan3 1. China University of Mining & Technology, Beijing 100083, China 2. Institute of Geophysics, Chinese Academy of Sciences, Beijing 100101, China 3. Exploration and Development Research Institute of Daqing Oilfield, Daqing 163712, China 

作者机构：China University of Mining & Technology Beijing China Institute of Geophysics Chinese Academy of Sciences Beijing China Exploration and Development Research Institute of Daqing Oilfield Daqing China 

出 版 物：《Science China Earth Sciences》 (中国科学（地球科学英文版）)

年 卷 期：2006年第49卷第2期

页      面：147-153页

核心收录：

学科分类：070801[理学-固体地球物理学] 07[理学] 0708[理学-地球物理学] 0704[理学-天文学] 

基　　金：supported by the National Natural Science Foundation of China(Grant No.50490270) the National Basic Research Program of China(Grant Nos.2005CB221501 and 2002CB211707) 

主　　题：Kelvin-Voigt visco-elastic velocity attenuation seismic wave. 

摘      要：This paper studies, under a small disturbance, the responses of seismic transient wave in the visco-elastic media and the analytic solution of the corresponding third-order partial differential equation. A plane wave solution of Kelvin-Voigt homogeneous visco-elastic third-order partial differ-ential equation with a pulse source is obtained. By the principle of pulse stacking of particle vibration, the result is extended to the solution of Kelvin-Voigt homogeneous visco-elastic third-order partial differential equation with any source. The velocities of seismic wave propagating and the attenuation of seismic wave in Kelvin-Voigt homogeneous visco-elastic media are discussed. The velocities of seismic wave propagating and the coefficient of attenuation of seismic wave in Kelvin-Voigt homogeneous visco-elastic media are derived, expressed as functions of density of the media, elastic modulus and visco-elastic coefficient. These results can be applied in inversing lithology parameters in geophysical prospecting.