A MODEL FOR NONLINEAR SEISMIC-WAVES IN A MEDIUM WITH INSTABILITY
A MODEL FOR NONLINEAR SEISMIC-WAVES IN A MEDIUM WITH INSTABILITY
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DOI：
10.1016/0167-2789(93)90217-o
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发表时间：
1993-06-30
期刊：
影响因子：
4
通讯作者：
NIKOLAEVSKIY, VN
中科院分区：
文献类型：
--
作者：
BERESNEV, IA;NIKOLAEVSKIY, VN
实验研究表明，地壳是弹性非线性的，并含有累积弹性能量的来源，因此可以认为它是一种非线性活动介质。窄频带和宽频带地震发射的刺激效应以及介质透明的主频率的存在已经得到报告。提出了一个考虑非线性、不稳定性、能量耗散和色散的模型演化方程，并进行了数值求解。混沌信号的时间演化导致准正弦稳态波列的形成。发现了它们的振幅与非线性系数和频散系数的关系，提出的数学模型可以用来描述观测到的地震现象。
Experimental investigations show that the earth's crust is elastically nonlinear and contains the sources of accumulated elastic energy, so that it can be considered as a nonlinear active medium. The effects of stimulation of narrow- and broad-band seismic emission and the existence of dominant frequencies for which the medium is transparent have been reported. A model evolutionary equation which takes into account nonlinearity, instability, dissipation of energy and dispersion is proposed and solved numerically. The temporal evolution of chaotic signals results in the formation of quasi-sinusoidal steady-state wave trains. The dependence of their amplitude on the values of coefficients of nonlinearity and dispersion is found. The mathematical model proposed can be used to describe the observed seismic phenomena.