Biot理论与修正的Biot理论比较及讨论

对Biot理论和修正的Biot理论中的波动方程进行了详细推导,注明了每个参数的量纲和准确含义,并基于修正的Biot理论导出了三种不同形式的波动方程;对两种理论进行比较,得到了Biot弹性系数表达式,并分析了两者的应力及其对应关系;最后,着重对易被混淆的孔隙流体压力符号的正方向和含义,以及基本方程中部分参数的定义式进行了讨论,有助于更好地理解、应用Biot理论和修正的Biot理论。

Comparison and discussion for Biot theory and modified Biot one

The wave equations of Biot theory and modified Biot theory were derived, and the dimension and accurate meaning of each parameter in the equations were clearly indicated. Based on the modified Biot theory, three different forms of wave equations were gained as well. Then, by comparing those two theories, the expressions of the elastic coefficients in Biot theory were obtained, and the stresses and their correspondences were analyzed. Finally, emphasis was given to the discussion on the positive direction and meaning of pore-fluid pressure, as well as on the definition of some parameters in the fundamental equations, which may be easily confused and misunderstood. The above analysis and discussion promote better understanding and application of Biot theory and modified Biot theory.