Instability and Dispersivity of Wave Propagation in Inelastic Saturated/Unsaturated Porous Media
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摘要: 在基于Biot理论的饱和-非饱和多孔介质的动力-渗流模型中计及流固惯性耦合效应。对单轴应变的一维情况讨论了饱和和非饱和多孔介质中波传播过程的驻值失稳和逸散性,分析了流固粘性耦合,流固惯性耦合,流固混合体的压缩性,孔隙水饱和度,及固体骨架在高应变速率下材料粘弹塑性本构行为等因素的影响。该工作将对克服饱和与非饱和多孔介质在强动荷载下波传播过程的数值求解困难提供理论上的依据和启示。Abstract: A model based on the Biot theory for simulating coupled hydro-dynamic behavior in saturated-unsaturated porous media was utilized with integration of the inertial coupling effect between the solid-fluid phases of the media into the model.Stationary instability and dispersivity of wave propagation in the media in one-dimensional problem were analyzed.The effects of the following factors on stationary instability and dispersivity were discussed.They are the viscous and inertial couplings between the solid and the fluid phases,compressibility of the mixture composed of solid grains and pore fluid,the degree of saturation,visco-plastic(rate dependent inelastic)constitutive behavior of the solid skeleton under high strain rate.The results and conclusion obtained by the present work will provide some bases or clues for overcoming the difficulties in numerical modelling of wave propagation in the media subjected to strong and shock loading.
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Key words:
- porous media /
- wave propagation /
- visco-elastoplasticity /
- material stability /
- dispersivity /
- hydro-dynamic coupling
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