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Analytical solution for wave-induced response of isotropic poro-elastic seabed

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Abstract

By use of separation of variables, the governing equations describing the Biot consolidation model is firstly transformed into a complex coefficient linear homogeneous ordinary differential equation, and the general solution of the horizontal displacement of seabed is constructed by employing a complex wave number, thus, all the explicit analytical solutions of the Biot consolidation model are determined. By comparing with the experimental results and analytical solution of Yamamoto etc. and the analytical solution of Hsu and Jeng, the validity and superiority of the suggested solution are verified. After investigating the influence of seabed depth on the wave-induced response of isotropic poro-elastic seabed based on the present theory, it can be concluded that the influence depth of wave-induced hydrodynamic pressure in the seabed is equal to the wave length.

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Authors and Affiliations

  1. Department of Building Engineering, Tongji University, Shanghai, 200092, China

    YongLi Zhang & Jie Li

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  1. YongLi Zhang
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  2. Jie Li
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Correspondence to Jie Li.

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Zhang, Y., Li, J. Analytical solution for wave-induced response of isotropic poro-elastic seabed. Sci. China Technol. Sci. 53, 2619–2629 (2010). https://doi.org/10.1007/s11431-010-4077-2

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  • DOI: https://doi.org/10.1007/s11431-010-4077-2

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