Abstract
Summary Seismic wave attenuation and dispersion are caused by the interaction of rock skeleton and pore fluid properties in fluid-containing porous media. A lot of studies have been done on seismic wave attenuation and dispersion theory at different scales. However, it is still a hot topic for the attenuation and dispersion laws of seismic waves when multi-scale interactions occur. In this paper, two novel models are established by introducing the penny-shaped crack structure and the pore-crack structure based on a patchy saturated model. Under the action of external forces, there will be local and ‘squirt’ flow between cracks and pores. And the saturated bulk modulus of the solid will change impacted by the squirt flow. From this, we analyzed the attenuation and dispersion of the proposed two models. There are two attenuation peaks, one with a lower principal frequency indicating the effect of pores and cracks, and the other representing the effect of the White layered medium.
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