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Frequency Dependent Attenuation and Dispersion in Porous Rocks With Planar Fracture
- Publisher: European Association of Geoscientists & Engineers
- Source: Conference Proceedings, 81st EAGE Conference and Exhibition 2019, Jun 2019, Volume 2019, p.1 - 5
Abstract
Based on the White periodic layered model and Gurevich's assumptions about the fracture layer, a periodic layered fracture medium model can be obtained. In this paper, the elastic wave equation decoupling method and equivalent boundary conditions of porous media are used to obtain the analytical solution of longitudinal wave velocity dispersion and attenuation of the porous media with planar fractures. Subsequently, the effects of permeability, porosity and fracture volume fraction on the longitudinal wave velocity dispersion and energy attenuation in the seismic frequency band were studied. We can draw two conclusions. One is that as the permeability of the background layer decreases, the peak of energy attenuation shifts to the low frequency, which is consistent with the laboratory observations. The other is that as the background layer porosity or the fracture layer volume fraction increases, the velocity of the medium decreases due to the equivalent longitudinal wave modulus and density, while the attenuation peak increases and the peak frequency does not change significantly.