摘要:
由已建立了的非饱和土这种三相松散介质中的动力控制方程,得到波动方程的解,表明在非饱和土中存在3种P波(P1、P2和P3波)和1种S波。根据推导出的波速以及衰减的解析表达式,以实际工程中的尾砂土这种非饱和多孔介质为例,通过Matlab计算工具对非饱和土中的4种体波的弥散特性进一步数值分析,给出了典型的弥散和衰减曲线。结果表明,在一定的频率范围内,4种波的波速及衰减随频率的升高而增大,其中P2、P3波受频率影响强烈,而P1、S波受频率影响则相对较小。此外,饱和度的增加也将导致P1波波速的增大,但对P2、P3波和S波影响不大。
关键词:
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非饱和土
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尾砂
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波传播
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弥散性
Abstract:
Based on the dynamic governing equations in unsaturated soils, one kind of the granular three-phase materi- als, solutions of wave equations are carried out, which demonstrates the existence of three types of P waves (P1, P2 and P3wave) and one type of S wave. Analytic expressions for wave velocity and attenuation are proposed. Taking tailings in actual engineering for instance, this paper makes numerical analysis about the dispersion characteristics of elastic wave in unsaturated soils by using Matlab. Some typical dispersion and attenuation curves are given. The results show that the velocity and attenuation of all four types of waves becomes higher with the frequency increasing in a range. Frequency has much greater effect on the velocity and attenuation of P2 and P3wave than P~ and S wave. The velocity of Plwave be- comes higher with the degree of saturation increasing. Saturation has small effect on P2, P3and S wave.
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