Biot理论与修正的Biot理论比较及讨论  

Comparison and discussion for Biot theory and modified Biot one

作　　者：刘志军[1,2] 夏唐代[1,2] 黄睿[1,2] 陈炜昀[3] 

机构地区：[1]浙江大学软弱土与环境土工教育部重点实验室,杭州310058 [2]浙江大学滨海和城市岩土工程研究中心,杭州310058 [3]南京工业大学交通学院,南京210009

出　　处：《振动与冲击》2015年第4期148-152,194,共6页Journal of Vibration and Shock

基　　金：国家自然科学基金(U1234204;51378463)

摘　　要：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。The wave equations of Biot theory and modified Biot one were derived, and the dimension and correct definition of each parameter in the equations were clearly indicated. Based on the modified Biot theory, three different forms of wave equations were derived as well. Then, by comparing those two theories, the expressions of Biot elastic coefficients were obtained, and the stresses of the two theories and their correspondences were analyzed. Finally, particularly, the positive direction and meaning of pore-fluid pressure sign and the definitions of part parameters in the fundamental equations were discussed to be helpful for understanding and using the two theories.

关 键 词：BIOT理论 修正的Biot理论 弹性系数 应力 孔隙流体压力 参数 

分 类 号：TU435[建筑科学—岩土工程]