Dispersion and attenuation of compression waves in saturated
viscoelastic porous media

SHI Wen-jia; CONG Lin; YANG Duo-xing

doi:10.16285/j.rsm.2023.1728

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Dispersion and attenuation of compression waves in saturated viscoelastic porous media

更新时间：2026-06-25

- Dispersion and attenuation of compression waves in saturated viscoelastic porous media
- Vol. 45, Issue 10, Pages: 2900-2906(2024)
- 作者机构：
  
  1. ．应急管理部国家自然灾害防治研究院,北京,100085
  2. ．中国科学院大学应急管理学院,北京,101408
  3. ．中煤科工西安研究院（集团）有限公司,陕西,西安,710077
- 作者简介：
- 基金信息：
- DOI：10.16285/j.rsm.2023.1728
  CLC： TU41
- Online First：09 October 2024，
  
  Published：2024
- 稿件说明：
移动端阅览
SHI Wen-jia, CONG Lin, YANG Duo-xing. Dispersion and attenuation of compression waves in saturated viscoelastic porous media[J]. 2024, 45(10): 2900-2906.
DOI：

SHI Wen-jia, CONG Lin, YANG Duo-xing. Dispersion and attenuation of compression waves in saturated viscoelastic porous media[J]. 2024, 45(10): 2900-2906. DOI： 10.16285/j.rsm.2023.1728.

摘要

波的频散现象及其成因是岩石物理学与孔隙介质声学研究的一个热点。基于Biot理论与Darcy-Brinkman定律，提出了Maxwell-Brinkman与Kelvin-Brinkman黏弹性孔隙介质力学模型，建立了压缩波的频散关系，揭示了波的频散与衰减规律，分析了应力松弛与蠕变对波的传播速度与逆品质因子的影响。低频情况下，Kelvin-Brinkman模型与Darcy-Brinkman-Biot模型预测的压缩波的频散及其衰减一致。高频情况下，Maxwell-Brinkman模型与Darcy-Brinkman-Biot模型预测的压缩波的频散及其衰减一致。结合墨西哥湾的试验数据，验证了物理模型的可靠性。通过参数敏感性分析，探讨了基于实测数据优化介质参数的方法。

Abstract

The phenomenon of wave dispersion and its causes are a hot topic in the study of rock physics and acoustics of porous media. Based on the Biot theory and Darcy-Brinkman law

Maxwell-Brinkman and Kelvin-Brinkman viscoelastic porous media mechanical models were proposed

and the dispersion relationship of compression waves was established. The dispersion and attenuation laws of waves were revealed

and the effects of stress relaxation and creep on wave propagation velocity and inverse quality factor were analyzed. At low frequencies

the dispersion and attenuation of compression waves predicted by the Kelvin- Brinkman model and the Darcy-Brinkman-Biot model are consistent. While

at high frequencies

the dispersion and attenuation of compression waves predicted by the Maxwell-Brinkman model agree well with those by the Darcy-Brinkman-Biot model. The reliability of the physical model was verified using experimental data from the Gulf of Mexico. Through parameter sensitivity analysis

the method for optimizing medium parameters based on measured data was discussed.

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