摘要
基于准确的有限变形力学理论,本文建立了无限弹性介质中点爆炸震源产生的球面波非线性波动方程,从而揭示了球面波的振幅和波形演化现象。研究揭示经典的球面波波动方程只对固定振幅相成立,即只描述了相的运动方程,其波速为相速度。本文以变参数外尔斯特拉斯双周期椭圆函数给出精确波动方程解析解,从理论上阐明了地震子波(雷克子波)演化的弹性动力学本质,对于用地震勘探方法解决生产勘探问题具有理论指导意义。
Based on accurate theory of limited deformed mechanics,the paper created a nonlinear wave equation produced by explosive point source in infinite elastic medium and revealed evolutional phenomenon of amplitude and waveform of spherical wave. The studying results show that the classical elastic wave equation of spherical wave is only true for fixed amplitude phase and described only kinematic equation of phase velocity. From accurate analytic solution of wave equation given by Yrstlace double cyclic elliptic function with variable parameters, the paper demonstrated theoretically elastic dynamic nature of seismic wavelet (Ricker wavelet) evolution which has theoretic guided meaning to solve the problem of production in seismic exploration.
出处
《石油地球物理勘探》
EI
CSCD
北大核心
2001年第2期160-172,共13页
Oil Geophysical Prospecting
关键词
地震勘探
球面波
非线性波动方程
有限变形力学
seismic exploration, spherical wave, nonlinear wave equation, limited deformed mechanics