Acoustic wave propagation in a porous medium saturated with two fluids and a solid

doi:10.1088/1674-1056/ad9d17

中国物理B ›› 2025, Vol. 34 ›› Issue (2): 24301-024301.doi: 10.1088/1674-1056/ad9d17

Acoustic wave propagation in a porous medium saturated with two fluids and a solid

Lin Liu(刘琳)^1,3, Xiu-Mei Zhang(张秀梅)^1,2,3,†, and Xiu-Ming Wang(王秀明)^1,2,3

1 State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China;
2 University of Chinese Academy of Sciences, Beijing 100149, China;
3 Beijing Engineering Research Center of Sea Deep Drilling and Exploration, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China

收稿日期:2024-10-08 修回日期:2024-11-28 接受日期:2024-12-11 出版日期:2025-02-15 发布日期:2025-01-15
通讯作者: Xiu-Mei Zhang E-mail:zhangxiumei@mail.ioa.ac.an
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 12304496 and 12334019).

Acoustic wave propagation in a porous medium saturated with two fluids and a solid

Lin Liu(刘琳)^1,3, Xiu-Mei Zhang(张秀梅)^1,2,3,†, and Xiu-Ming Wang(王秀明)^1,2,3

1 State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China;
2 University of Chinese Academy of Sciences, Beijing 100149, China;
3 Beijing Engineering Research Center of Sea Deep Drilling and Exploration, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China

Received:2024-10-08 Revised:2024-11-28 Accepted:2024-12-11 Online:2025-02-15 Published:2025-01-15
Contact: Xiu-Mei Zhang E-mail:zhangxiumei@mail.ioa.ac.an
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 12304496 and 12334019).

摘要/Abstract

摘要： Wave propagation in multi-phase porous media is a significant research topic. There are a series of studies about porous media saturated with a single fluid, a solid and a fluid, two fluids, and three fluids. Some gas hydrate-bearing sediments are typical multiphase porous media saturated with a solid (gas hydrates) and two fluids (water and gas). Based on existing theories of porous media, we develop a theory and give a comprehensive analysis of wave propagation in a poroelastic medium saturated with two fluids and a solid. Initially, we establish the constitutive relations and equations of motion. Based on Biot's approach for describing the equations of motion in fluid-saturated porous media at the macroscale, the kinetic energy density, potential energy density, and dissipative energy density are derived. After deriving the equations of motion, a plane wave analysis predicts the existence of four compressional waves, denoted P1, P2, P3, and P4 waves, and two shear waves, denoted S1 and S2 waves. Numerical examples are presented to demonstrate how velocities and attenuations of various waves behave with gas saturation, gas hydrate saturation, and frequency. A model degradation to porous media saturated with a single fluid supports the validity of the theory, which enriches the theory of multiphase porous media and provides a foundation for the evaluation of gas hydrate-bearing sediments.

关键词: four-phase porous media, equations of motion, plan wave analysis, wave characteristics

Abstract: Wave propagation in multi-phase porous media is a significant research topic. There are a series of studies about porous media saturated with a single fluid, a solid and a fluid, two fluids, and three fluids. Some gas hydrate-bearing sediments are typical multiphase porous media saturated with a solid (gas hydrates) and two fluids (water and gas). Based on existing theories of porous media, we develop a theory and give a comprehensive analysis of wave propagation in a poroelastic medium saturated with two fluids and a solid. Initially, we establish the constitutive relations and equations of motion. Based on Biot's approach for describing the equations of motion in fluid-saturated porous media at the macroscale, the kinetic energy density, potential energy density, and dissipative energy density are derived. After deriving the equations of motion, a plane wave analysis predicts the existence of four compressional waves, denoted P1, P2, P3, and P4 waves, and two shear waves, denoted S1 and S2 waves. Numerical examples are presented to demonstrate how velocities and attenuations of various waves behave with gas saturation, gas hydrate saturation, and frequency. A model degradation to porous media saturated with a single fluid supports the validity of the theory, which enriches the theory of multiphase porous media and provides a foundation for the evaluation of gas hydrate-bearing sediments.

Key words: four-phase porous media, equations of motion, plan wave analysis, wave characteristics

中图分类号: (General linear acoustics)

43.20.+g

91.60.Lj (Acoustic properties) 91.30.Cd (Body wave propagation)

Lin Liu(刘琳), Xiu-Mei Zhang(张秀梅), and Xiu-Ming Wang(王秀明). Acoustic wave propagation in a porous medium saturated with two fluids and a solid[J]. 中国物理B, 2025, 34(2): 24301-024301.

Lin Liu(刘琳), Xiu-Mei Zhang(张秀梅), and Xiu-Ming Wang(王秀明). Acoustic wave propagation in a porous medium saturated with two fluids and a solid[J]. Chin. Phys. B, 2025, 34(2): 24301-024301.

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Acoustic wave propagation in a porous medium saturated with two fluids and a solid

Acoustic wave propagation in a porous medium saturated with two fluids and a solid

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