INSTABILITY AND DISPERSIVITY OF WAVE PROPAGATION IN INELASTIC SATURATED/UNSATURATED POROUS

Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (1): 35-52.

INSTABILITY AND DISPERSIVITY OF WAVE PROPAGATION IN INELASTIC SATURATED/UNSATURATED POROUS

李锡夔, 张俊波, 张洪武

State Key Laboratory for Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116024, P. R. China

收稿日期:2000-07-27 修回日期:2001-10-09 出版日期:2002-01-18 发布日期:2002-01-18
基金资助:
the National Natural Science Foundation of China(19832010)

INSTABILITY AND DISPERSIVITY OF WAVE PROPAGATION IN INELASTIC SATURATED/UNSATURATED POROUS MEDIA

LI Xi-kui, ZHANG Jun-bo, ZHANG Hong-wu

State Key Laboratory for Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116024, P. R. China

Received:2000-07-27 Revised:2001-10-09 Online:2002-01-18 Published:2002-01-18
Supported by:
the National Natural Science Foundation of China(19832010)

摘要/Abstract

摘要： 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.

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.

中图分类号:

李锡夔;张俊波;张洪武. INSTABILITY AND DISPERSIVITY OF WAVE PROPAGATION IN INELASTIC SATURATED/UNSATURATED POROUS[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(1): 35-52.

LI Xi-kui;ZHANG Jun-bo;ZHANG Hong-wu. INSTABILITY AND DISPERSIVITY OF WAVE PROPAGATION IN INELASTIC SATURATED/UNSATURATED POROUS MEDIA[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(1): 35-52.

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INSTABILITY AND DISPERSIVITY OF WAVE PROPAGATION IN INELASTIC SATURATED/UNSATURATED POROUS

INSTABILITY AND DISPERSIVITY OF WAVE PROPAGATION IN INELASTIC SATURATED/UNSATURATED POROUS MEDIA

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