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Comparison about parametric effects on wave propagation characteristics

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Abstract

The frequency effects on the velocities and attenuations of the bulk waves in a saturated porous medium are numerically studied in the cases of considering and neglecting the compressibility of solid grain, respectively. The results show that the whole frequency can be divided into three parts, i.e., low frequency band, medium frequency band, and high frequency band, according to the variation curves and the characteristic frequency. The compressibility of the solid grain affects the P 1 wave distinctively, the S wave tiny, and the P 2 wave little. The effects of the porosity and Poisson’s ratio on the bulk waves are numerically analyzed. It is found that both the porosity and Poisson’s ratio have obvious effects on the bulk waves. Compared with the results in the case of neglecting the porosity-moduli relation, the results in the case of considering the porosity-moduli relation are more reasonable. The results in the case of considering the porosity-moduli relation can be degenerated into the results of elastic solid and pure fluid, while the results in the case of neglecting the porosity-moduli relation cannot be degenerated into the results of elastic solid and pure fluid. Therefore, the porosity-moduli relation must be considered in the parametric study for a certain porous medium.

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Authors and Affiliations

  1. Research Center of Costal and Urban Geotechnical Engineering, Zhejiang University, Hangzhou, 310027, China

    Zhijun Liu, Tangdai Xia & Qingqing Zheng

  2. Institute of Geotechnical Engineering, Nanjing Tech University, Nanjing, 210009, China

    Weiyun Chen

Authors
  1. Zhijun Liu
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  2. Tangdai Xia
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  3. Qingqing Zheng
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  4. Weiyun Chen
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Correspondence to Tangdai Xia.

Additional information

Project supported by the National Natural Science Foundation of China (Nos.U1234204 and 51378463)

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Liu, Z., Xia, T., Zheng, Q. et al. Comparison about parametric effects on wave propagation characteristics. Appl. Math. Mech.-Engl. Ed. 36, 763–776 (2015). https://doi.org/10.1007/s10483-015-1944-6

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  • DOI: https://doi.org/10.1007/s10483-015-1944-6

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Chinese Library Classification

2010 Mathematics Subject Classification

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