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从流变力学角度建立的离散介质本构关系同时考虑了介质的弹性、粘性与弱化性,与损伤力学建立的本构关系比较表明弱化因子具有损伤因子的力学意义。本文采用交错网格伪谱法正演模拟了离散介质中波的传播,并以平面波解分析了体波的频散和介质的吸收系数。高频和低频情况下波场数值模拟的结果是:饱和多孔介质中体波速度随弱化因子的增加而降低,介质吸收系数随弱化因子的增加而增加,弱化性对不同体波频散的影响程度不同。
The constitutive relation of discrete medium established from rheological mechanics considers the elastic, viscous and weakened properties of the medium at the same time. Compared with the constitutive relation established by damage mechanics, the weakening factor has the mechanical meaning of damage factor. In this paper, the wave propagation in discrete media is simulated by staggered grid pseudospectral method. The dispersion of bulk wave and the absorption coefficient of media are analyzed by plane wave. The numerical results of wavefield under high frequency and low frequency are: the body wave velocity in saturated porous media decreases with the increase of the weakening factor, and the absorption coefficient of medium increases with the increase of the weakening factor, and the effect of weakening on the dispersion of different body waves Different degrees.