USGS · 70034360
Analysis of dispersion and attenuation of surface waves in poroelastic media in the exploration-seismic frequency band
Abstract
We analyse dispersion and attenuation of surface waves at free surfaces of possible vacuum/poroelastic media: permeable-‘open pore’, impermeable-‘closed pore’ and partially permeable boundaries, which have not been previously reported in detail by researchers, under different surface-permeable, viscous-damping, elastic and fluid-flowing conditions. Our discussion is focused on their characteristics in the exploration-seismic frequency band (a few through 200 Hz) for near-surface applications. We find two surface-wave modes exist, R 1 waves for all conditions, and R 2 waves for closed-pore and partially permeable conditions. For R 1 waves, velocities disperse most under partially permeable conditions and least under the open-pore condition. High-coupling damping coefficients move the main dispersion frequency range to high frequencies. There is an f 1 frequency dependence as a constant- Q model for attenuation at high frequencies. R 1 waves for the open pore are most sensitive to elastic modulus variation, but least sensitive to tortuosities variation. R 1 waves for partially permeable surface radiate as non-physical waves (Im( k ) < 0) at low frequencies. For R 2 waves, velocities are slightly lower than the bulk slow P 2 waves. At low frequencies, both velocity and attenuation are diffusive of f 1/2 frequency dependence, as P 2 waves. It is found that for partially permeable surfaces, the attenuation displays - f 1 frequency dependence as frequency increasing. High surface permeability, low-coupling damping coefficients, low Poisson′s ratios, and low tortuosities increase the slope of the - f 1 dependence. When the attenuation coefficients reach 0, R 2 waves for partially permeable surface begin to radiate as non-physical waves.
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Y. Zhang, Y. Xu, J. Xia. 2011-09-05. Analysis of dispersion and attenuation of surface waves in poroelastic media in the exploration-seismic frequency band. https://doi.org/10.1111/j.1365-246x.2011.05168.x
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