Comparison about parametric effects on wave propagation characteristics

doi:10.1007/s10483-015-1944-6

Applied Mathematics and Mechanics (English Edition) ›› 2015, Vol. 36 ›› Issue (6): 763-776.doi: https://doi.org/10.1007/s10483-015-1944-6

Comparison about parametric effects on wave propagation characteristics

Zhijun LIU¹, Tangdai XIA¹, Qingqing ZHENG¹, Weiyun CHEN²

1. Research Center of Costal and Urban Geotechnical Engineering, Zhejiang University, Hangzhou 310027, China;
2. Institute of Geotechnical Engineering, Nanjing Tech University, Nanjing 210009, China

收稿日期:2014-05-26 修回日期:2014-12-08 出版日期:2015-06-01 发布日期:2015-06-01
通讯作者: Tangdai XIA E-mail:xtd@zju.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Nos.U1234204 and 51378463)

Comparison about parametric effects on wave propagation characteristics

Zhijun LIU¹, Tangdai XIA¹, Qingqing ZHENG¹, Weiyun CHEN²

1. Research Center of Costal and Urban Geotechnical Engineering, Zhejiang University, Hangzhou 310027, China;
2. Institute of Geotechnical Engineering, Nanjing Tech University, Nanjing 210009, China

Received:2014-05-26 Revised:2014-12-08 Online:2015-06-01 Published:2015-06-01
Contact: Tangdai XIA E-mail:xtd@zju.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Nos.U1234204 and 51378463)

摘要/Abstract

摘要： 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 P₁ wave distinctively, the S wave tiny, and the P₂ 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.

关键词: Poisson's ratio, porositymoduli relation, porosity, compressibility of solid grain, frequency

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 P₁ wave distinctively, the S wave tiny, and the P₂ 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.

Key words: porositymoduli relation, Poisson's ratio, porosity, compressibility of solid grain, frequency

中图分类号:

TU435

Zhijun LIU, Tangdai XIA, Qingqing ZHENG, Weiyun CHEN. Comparison about parametric effects on wave propagation characteristics[J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(6): 763-776.

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Comparison about parametric effects on wave propagation characteristics

Comparison about parametric effects on wave propagation characteristics

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