Wave field forward modeling and theoretical analysis of weakness in discrete media

The elasticity, viscosity, and the relationships derived from rheology weakness properties are taken into account in mechanics. Comparing with the corresponding relationships derived from damage mechanics, we find the weakness factor has the same significance as the damage factor. We simulate the wave field using a staggered-grid pseudospectral method to show the influence of the weakness factor qualitatively. Applying the analytical solution of plane waves, we give the velocity and attenuation coefficient of three body waves, which are affected by the wave frequency and the weakness factor of saturated discrete media. Our results show that velocity decreases with increasing weakness factor, the attenuation coefficient increases with an increase in the weakness factor, and that the influence of weakness depends on the mode of the body waves.

弹性，粘性，和软弱性质在从流变学力学导出的关系中被考虑。与相应关系作比较源于损坏力学，我们发现软弱因素有象损坏因素的一样的意义。我们用一个蹒跚格子的伪 spectral 方法模仿波浪地显示出软弱因素品质上的影响。使用飞机的分析答案飘动，我们给速度和三个身体波浪的变细系数，它被波浪频率和浸透的分离媒介的软弱因素影响。我们的结果证明那速度与增加软弱因素减少，有软弱因素的增加的变细系数增加，并且软弱的影响取决于身体的模式，这飘动。