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Instability and dispersivity of wave propagation in inelastic saturated/unsaturated porous media

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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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Authors and Affiliations

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

    Li Xi-kui Professor, Doctor, Zhang Jun-bo & Zhang Hong-wu

Authors
  1. Li Xi-kui Professor, Doctor
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  2. Zhang Jun-bo
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  3. Zhang Hong-wu
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Additional information

Communicated by TANG Li-min

Foundation item: the National Natural Science Foundation of China (19832010)

Biography: LI Xi-kui (1940−)

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Xi-kui, L., Jun-bo, Z. & Hong-wu, Z. Instability and dispersivity of wave propagation in inelastic saturated/unsaturated porous media. Appl Math Mech 23, 35–52 (2002). https://doi.org/10.1007/BF02437728

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  • DOI: https://doi.org/10.1007/BF02437728

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