Love Waves in a FluidSaturated Double-Porosity Layer with Initial Stress

Abstract

Abstract:

Abstract： Based on the extended Biot theory for doubleporosity media, the propagation behavior of Love waves in a doubleporosity fluidsaturated layer with initial stress lying over a prestressed, anisotropic, inhomogeneous elastic halfspace was studied. The dispersion equation for the Love waves and the upper and lower bounds of the Love wave speed were derived. The effect of the medium characteristics such as porosity, inhomogeneity, anisotropy, initial stress was discussed. Numerical calculation shows that as the storage porosity, the fracture porosity or the percentage of the storage porosity in the total porosity of the layer increases, the phase velocity of Love wave increases. As the anisotropy or heterogeneity of the half space increases, the phase velocity of Love wave increases. No matter in the layer or the half space, tensile initial stresses increase the velocity of Love waves while compressive initial stresses in the layer decrease the velocity of Love waves.
Key words：

Key words: fluid-saturated double-porosity medium, inhomogeneity, initial stress, Love waves

CLC Number:

O 347

WU Jiaping,ZHAO Shexu. Love Waves in a FluidSaturated Double-Porosity Layer with Initial Stress[J]. Journal of Shanghai Jiaotong University, 2014, 48(12): 1777-1783.

References

［1］Love A E H. Some problems of geodynamics［M］. Cambridge: Cambridge University Press, 1911.

［2］Biot M A. Theory of propagation of elastic waves in a fluid‐saturated porous solid. I. Low‐frequency range［J］. The Journal of the Acoustical Society of America, 1956,28:168.

［3］Biot M A. Mechanics of deformation and acoustic propagation in porous media［J］. Journal of Applied Physics, 1962,33:1482.

［4］Deresiewicz H. The effect of boundaries on wave propagation in a liquidfilled porous solid: II. Love waves in a porous layer［J］. Bulletin of the Seismological Society of America, 1961, 51(1): 5159.

［5］Wang Y S, Zhang Z M.Propagation of the Love waves in a transversely isotropic fluidsaturated porous layered halfspace［J］. The Journal of the Acoustical Society of America, 1998, 103(2): 695701.

［6］Kończak D D Z. The propagation of Love waves in a fluidsaturated porous anisotropic layer［J］. Acta Mechanica, 1989, 79(34): 155168.

［7］Berryman J G, Wang H F. The elastic coefficients of doubleporosity models for fluid transport in jointed rock［J］. Journal of Geophysical Research,1995,100(B12):2461124627．

［8］Berryman J G, Wang H F. Elastic wave propagation and attenuation in a doubleporosity dualpermeability medium［J］. International Journal of Rock Mechanics and Mining Sciences, 2000, 37(12): 6378.

［9］Ba Jing，Yang Huizhu，Xie Ganquan. A gild seismic modeling for doubleporosity media［C］∥Proceedings of the 23rd Progress in Electromagnetics Research Symposium. Cambridge：The Electromagnetics Academy，2008：491497．

［10］Biot M A. Mechanics of Incremental Deformation［M］. New York: John Wiley and Sons Inc,1965.

［11］Gupta S, Chattopadhyay A, Majhi D K. Effect of Initial stress on propagation of Love waves in an anisotropic porous layer［J］. Journal of Solid Mechanics, 2010, 2(1): 5062.

［12］Gupta S, Vishwakarma S K, Majhi D K, et al. Possibility of Love wave propagation in a porous layer under the effect of linearly varying directional rigidities［J］. Applied Mathematical Modelling, 2013, 37(1011): 66526660.

［13］Ke L L, Wang Y S, Zhang Z M. Propagation of love waves in an inhomogeneous fluid saturated porous layered halfspace with properties varying exponentially［J］. Journal of Engineering Mechanics, 2005, 131(12): 13221328.

［14］Chattaraj R, Samal S K, Mahanti N C. Propagation of torsional surface wave in anisotropic poroelastic medium under initial stress［J］. Wave Motion, 2011, 48(2): 184195.

［15］Berryman J G. Confirmation of Biot’s theory［J］. Applied Physics Letters,1980,37: 382.

[1]	Ning W.; Xu Y.; Liao Y.. Nonlinear buckling analysis of pre-stressed ring-stiffened circular cylindrical shells under external pressure [J]. J Shanghai Jiaotong Univ Sci, 2016, 21(6): 672-678.
[2]	REN Wei1,GAI YiTing2,ZHANG Gang1. Analysis of RC Arch Strengthen by Bonded FRP Under Initial Stress [J]. Journal of Shanghai Jiaotong University, 2015, 49(02): 232-238.
[3]	WANG Huan (王欢), CHE Ai-lan* (车爱兰), GE Xiu-run (葛修润). Full Waveform Inversion Method for Horizontally Inhomogeneous Stratified Media [J]. Journal of shanghai Jiaotong University (Science), 2013, 18(6): 667-672.
[4]	LI Ke1,2* (李科), WANG Ying-yi3 (王颖轶), HUANG Xing-chun2,3 (黄醒春). Regression Analysis of Initial Stress Field Around Faults Based on Fault Throw by Displacement Discontinuity Method [J]. Journal of shanghai Jiaotong University (Science), 2013, 18(4): 474-478.
[5]	WANG Yingyi1,LI Ke2,HUANG Xingchun1. Finite Element Method Regression Back Analysis of Initial Stress Field in a Large Underground Chamber Area [J]. Journal of Shanghai Jiaotong University, 2013, 47(09): 1399-1403.
[6]	KONG Yan-Ping-a, CHEN Chang-Hong-b, LIU Jin-Xi-a. Propagation of Love Waves in the Orthotropic Layer/Functionally Graded Piezoelectric Half-Space [J]. Journal of Shanghai Jiaotong University, 2013, 47(02): 210-215.