| ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS |
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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 |
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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.
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Received: 08 October 2024
Revised: 28 November 2024
Accepted manuscript online: 11 December 2024
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PACS:
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43.20.+g
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(General linear acoustics)
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91.60.Lj
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(Acoustic properties)
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91.30.Cd
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(Body wave propagation)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 12304496 and 12334019). |
Corresponding Authors:
Xiu-Mei Zhang
E-mail: zhangxiumei@mail.ioa.ac.an
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Cite this article:
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 2025 Chin. Phys. B 34 024301
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[1] Biot M A 1956 J. Acoust. Soc. Am. 28 168
[2] Biot M A 1956 J. Acoust. Soc. Am. 28 179
[3] Biot M A 1962 J. Appl. Phys. 33 1482
[4] Biot M A 1962 J. Acoust. Soc. Am. 34 1254
[5] Plona T J 1980 Appl. Phys. Lett. 36 259
[6] Helgerud M B, Dvorkin J, Nur A M, Sakai A and Collett T 1999 Geophysical Research Letters 26 2021
[7] Ecker C, Dvorkin J and Nur A M 2000 Geophysics 65 565
[8] Santos J E, Douglas Jr J, Corbero J and Lovera O M 1990 J. Acoust. Soc. Am. 87 1439
[9] Santos J E, Ravazzoli C L, Gauzellino P M, Carcione J M and Cavallini F 2004 Journal of Computational Acoustics 12 1
[10] Lo W C, Sposito G and Majer E 2005 Water Resources Research 41 W02025
[11] Lo W C, Yeh C L and Lee J W 2015 Advances in Water Resources 83 207
[12] Vasco D W 2013 Geophysics 78 L1
[13] Santos J E and Savioli G B 2015 J. Acoust. Soc. Am. 138 3033
[14] Santos J E and Savioli G B 2016 J. Acoust. Soc. Am. 139 693
[15] Leclaire P, Cohen-Tenooudji F and Puente J 1994 J. Acoust. Soc. Am. 96 3753
[16] Carcione J M and Seriani G 2001 Journal of Computational Physics 170 676
[17] Ruppel C D 2007 Elements 3 29
[18] Liu T T, Han L G and Ge Q X 2019 Waves in Random and Complex Media 31 207
[19] Boswell R 2009 Science 325 957
[20] Chong Z R, Yang S H B, Babu P, Ling P and Li X S 2016 Applied Energy 162 1633
[21] Sadeq D, Alef K, Iglauer S, Lebedev M and Barifcani A 2018 International Journal of Hydrogen Energy 43 23193
[22] Yan C L, Cheng Y F and Li M L 2017 International Journal of Hydrogen Energy 42 19810
[23] Wang X J, Wu S G and Liu X W 2006 Chinese J. Geophys. 49 504
[24] Wang X J, Wu S G and Liu X W 2010 Geoscience 24 993
[25] Wang X H, Xu Q, He Y N, Wang Y F, Sun Y F, Sun C Y and Chen G J 2019 Energies 12 1825
[26] Lee M W and Waite W F 2008 Geochemistry, Geophysics, Geosystems 9 Q07008
[27] Zhang Y W, Liu X W and Jin Y J 2004 Oil Geophysical Prospecting 39 205
[28] Zhang R W, Li H Q, Wen P F and Zhang B J 2016 Chinese J. Geophys. 59 3417
[29] Guerin G and Goldberg D 2005 Geochemistry, Geophysics, Geosystems 6 1
[30] Liu L, Zhang X and Wang X 2021 Energies 14 804
[31] Liu L, Zhang X and Wang X 2024 Geophysics 89
[32] Zhou Y, Zhang X, Liu L, Liu T and Wang X 2022 Progress Theoretical and Experimental Physics 123A01
[33] Liu L, Zhang X and Wang X 2021 Chin. Phys. B 30 024301
[34] Carcione J M, Cavallini F, Santos J E, Ravazzoli C L and Gauzellino P 2004 Wave Motion 39 227
[35] Ba J, Carcione J M and Nie J X 2011 Journal of Geophysical Research 116 B06202
[36] Liu T, Liu X and Zhu T 2020 Marine & Petroleum Geology 112 104036
[37] Yang H D, Fu L Y, Fu B Y and Du Q Z 2022 Geophysics 87 329
[38] Huang J D, Yang D H, He X J and Chang Y F 2023 Geophysics 88 121
[39] Wang N X, Du B and Du G 1987 Well Logging Technology 11 26
[40] Xu X K, Chen X L, Fan Y R, Li X, Liu M J and Hu H C 2012 Journal of China University of Petroleum 36 97
[41] Berryman J G and Wang H F 2000 International Journal of Rock Mechanics & Mining Sciences 37 63 |
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