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| Viscoelastic representation of surface waves in patchy saturated poroelastic media |
| Yu Zhang1,2, Yixian Xu3,4,5, Jianghai Xia3,5, Ping Ping3, Shuangxi Zhang1,2 |
1 School of Geodesy and Geomatics, Wuhan University, Wuhan 430079, China
2 Key Laboratory of Geospace Environment and Geodesy, Ministry of Education, Wuhan 430079, China
3 Institute of Geophysics and Geomatics, China University of Geosciences, Wuhan 430074, China
4 State Key Laboratory of Geological Processes and Mineral Resources, China University of Geosciences, Wuhan 430074, China
5 Subsurface Imaging and Sensing Laboratory, China University of Geosciences, Wuhan 430074, China |
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Abstract Wave-induced flow is observed as the dominated factor for P wave propagation at seismic frequencies. This mechanism has a mesoscopic scale nature. The inhomogeneous unsaturated patches are regarded larger than the pore size, but smaller than the wavelength. Surface wave, e.g., Rayleigh wave, which propagates along the free surface, generated by the interfering of body waves is also affected by the mesoscopic loss mechanisms. Recent studies have reported that the effect of the wave-induced flow in wave propagation shows a relaxation behavior. Viscoelastic equivalent relaxation function associated with the wave mode can describe the kinetic nature of the attenuation. In this paper, the equivalent viscoelastic relaxation functions are extended to take into account the free surface for the Rayleigh surface wave propagation in patchy saturated poroelastic media. Numerical results for the frequency-dependent velocity and attenuation and the time-dependent dynamical responses for the equivalent Rayleigh surface wave propagation along an interface between vacuum and patchy saturated porous media are
reported in the low-frequency range (0.1–1,000 Hz). The results show that the dispersion and attenuation and kinetic characteristics of the mesoscopic loss effect for the surface wave can be effectively represented in the equivalent viscoelastic media. The simulation of surface wave propagation within mesoscopic patches requires solving Biot’s differential equations in very small grid spaces, involving the conversion of the fast P wave energy diffusion into the Biot slow wave. This procedure requires a very large amount of computer consumption. An efficient equivalent approach for this patchy saturated poroelastic media shows a more convenient way to solve the single phase viscoelastic differential equations
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Received: 17 October 2013
Published: 18 December 2013
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| Fund:the Natural Basic Research Program of China (the ‘‘973 Project’’, Grant No. 2013CB733303), the National Natural Science Foundation of China (Grant Nos. 41304077, 40974079), Postdoctoral Science Foundation of China (Grant No. 2013M531744), and Key Laboratory of Geospace Environment and Geodesy (Grant Nos. 12-02-03) |
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Corresponding Authors:
Yu Zhang
E-mail: yuzhang@sgg.whu.edu.cn
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