摘要(英) |
Zienkiewicz et al. consider an additional inertial term of displacement and acceleration term of fluid in the poroelastodynamics model established by Biot. To satisfy the displacement-pressure formula. They consider neglecting acceleration terms of fluid with some physical condition. After they received his study, there were rarely researches also studying on theirs. Because of that, this study forces on his poroelastodynamic model using von Neumann stability analysis. However, this study points out that their poroelastodynamic model is unconditionally instability, finding out unconditionally instability region. Although this model is unstable, this paper finds the other two conditionally stable conditions, wave-like and diffusion-like conditions. On the other hand, this study assumes the different wavenumbers for each unknown, e.g. u (displacement) and p (pore pressure). This assumption is not the same as previous studies, but it can analyse this model more generally. In addition, utilizing this assumption can get more results than assuming the same wavenumbers for each unknown. |
參考文獻 |
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