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首页> 外文期刊>Applied Mathematical Modelling >Modeling elastic wave propagation through a partially saturated poroviscoelastic interlayer by fractional order derivatives
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Modeling elastic wave propagation through a partially saturated poroviscoelastic interlayer by fractional order derivatives

机译：通过分馏衍生物通过部分饱和的浮藻纤维间中间层进行建模弹性波传播

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摘要

The reflection and transmission problems of elastic waves through a partially saturated porous interlayer sandwiched between two elastic solid half-spaces are investigated. The partially saturated porous interlayer contains solid phase, gas phase and liquid phase. The solid frame is modeled by the fractional Zener model where the fractional order derivatives are used to describe the complex history-dependent viscoelastic behavior. Due to the coupled effects of the multiple fields, there exist three longitudinal waves and one transverse wave in the porous medium. The numerical results of reflection and transmission coefficients and the energy dissipation ratios are provided and shown graphically. The effects of the gas saturation, the interlayer thickness and the viscoelasticity of the solid frame are discussed based upon the numerical results. It is observed that the reflection and transmission coefficients and the energy dissipation ratios are affected noticeably by the gas saturation, the interlayer thickness and the viscoelasticity of the solid frame. In particular, there exists the characteristic gas saturation where the energy dissipation increases drastically.
机译：研究了弹性波通过夹在两个弹性固体半空间之间的部分饱和多孔夹层的弹性波的反射和传递问题。部分饱和的多孔层间含有固相，气相和液相。实心框架由分数齐纳模型建模，其中分数阶衍生物用于描述复杂的历史依赖性粘弹性行为。由于多场的耦合效果，存在三个纵波和多孔介质中的一个横波。图形提供了反射和透射系数的数值结果和透射系数和能量耗散比率。基于数值结果讨论了气体饱和度，层间厚度和固体框架的粘弹性的影响。观察到，通过气体饱和度，层间厚度和固体框架的粘弹性，反射和透射系数和能量耗散比率显着影响。特别地，存在特征气体饱和度，其中能量耗散幅度急剧增加。

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