Wave Propagation with Mass-Coupling Effect in Fluid-Saturated Porous Media

Li Xiang-wei; Li Xiang-yue

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Article Navigation > Applied Mathematics and Mechanics > 1989 > 10(4): 309-314

Li Xiang-wei, Li Xiang-yue. Wave Propagation with Mass-Coupling Effect in Fluid-Saturated Porous Media[J]. Applied Mathematics and Mechanics, 1989, 10(4): 309-314.

Citation:

Li Xiang-wei, Li Xiang-yue. Wave Propagation with Mass-Coupling Effect in Fluid-Saturated Porous Media[J]. Applied Mathematics and Mechanics, 1989, 10(4): 309-314.

Citation:

Li Xiang-wei, Li Xiang-yue. Wave Propagation with Mass-Coupling Effect in Fluid-Saturated Porous Media[J]. Applied Mathematics and Mechanics, 1989, 10(4): 309-314.

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Wave Propagation with Mass-Coupling Effect in Fluid-Saturated Porous Media

Li Xiang-wei¹,
Li Xiang-yue²

1.
China State Construction Engineering Corporation, Beijing;
2.
Tongji University, Shanghai

Received Date: 1987-08-11
Publish Date: 1989-04-15

Abstract

Abstract

This article utilizes the theory of mixtures to formulate a general theory of wave propagation with mass-coupling effect in fluid-saturated porous media.An attempt is made to discuss the physical interpretation and the thermodynamic restriction of the coefficients appearing in the equations obtained, by the comparison it is shown that Biot's classical theory and the present one are essentially consistent.Also wave velocities in some special cases are calculated, from which it is concluded that mass-coupling and permeability of media greatly affect wave propagation behavior.

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References(8)

References

[1]	Biot, M, A.,T henry of propagation of elastic waves in a fluid-saturated porous solid, I, Low-frequency, J, Acoust, Sock Amer.28 (1956), 168.
[2]	Yardoulakis,I.and D.E.Beskos, D ynamic behavior of nearly saturated porous media, Mechanics of Materials, 5 (1986), 87-108.
[3]	Rice, 3, R.and M, P, Cleary, Some basic stress-diffusion solutions for fluid saturated elastic porous media with compressible constituents, Rev, Geophys, Space Phys.,14 (1976), 227-241.
[4]	Lipkin, J.,R.H, Bennett and D.F.McTigue, Consolidation under an isotropic total stress increase; Part Ⅰ,Experimental results for marine clay, Geotechnique,36, 1 (1986), 11-25.
[5]	Kowalski, S, J., Identification of the coefficients in the equations of motion for a fluid-saturated porous medium, Acta Mechanics, 47 (1983), 263-276.
[6]	陈龙珠、吴世明、曾国熙,弹性波在饱和土层中的传播,力学学报,19(1987), 283-291.
[7]	Bowen, R.M., Theory of Mixtures, in Continuum Physics, A, C, Eringen, ed.,VolⅡ,Academic Press, N, Y, (1976).中译本,《混合物理论》,许慧已等译,江苏科学技术出版社(1983).
[8]	Bowen, R, M., Compressible porous media models by use of the theory of mixtures,Internat, J, Engng, Sci., 20 (1982), 697-735.