| Popis: |
Rock and rock mass are non-homogeneous medium with complex micro- and meso-scopic structures. Dispersion effect is caused by the interaction between the elastic wave and these micro- and meso-defects in rocks. A double-crack model is used to study the effect of microscopic structures on the dispersion of elastic waves. In the model, the interaction between these two cracks is considered to analyze the effect of multiple scattering. Among these double-crack systems, a linear superposition method is adopted to analyze the localization of the effect of defects in rocks. Mathematically, based on the fundamental solution of wave propagation equation with Green function method, and combined with the boundary integral method, cracks are treated as inner boundaries and dispersion equation is obtained. Furthermore, the difference between these two ways of interaction of cracks is analyzed, and the influence of the micro discontinuity parameters of the double-crack system, pore fluid pressure and unloading on the dispersion of rocks is discussed. |
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