关于孔隙相互孤立饱和土体弹性模量的讨论

Discussion on the Elastic Bulk Modulus for Saturated Soils with Isolated Pores

对孔隙相互孤立饱和土体的弹性力学模型的部分观点进行了讨论。按Carroll的力学响应理论重新推导了此类土体的弹性本构关系和体积模量表达式。认为在准静态(很低频率)的波动问题中孔隙流体与固体骨架的相对运动为零,土体渗透系数为零或流体粘性为无穷大的条件是等价的。在此条件下没有必要区分孔隙是否连通,它们遵循相同的规律,而且其土体弹性体积模量的结果与Biot-Geertsma理论的无排水准静态的弹性体积模量相同。

In this paper, some opinions in the mechanical model for saturated soils with isolated pores are discussed. Based on the Carroll＇s mechanical response theory of fluid-saturated porous materials, the stress-strain relations and bulk modulus for this kind of soils are derived again. As a result, for the bulk modulus of quasi-statistic wave, the condition of isolated pores on soils has same effect with no relative movement between solid and fluid, zero permeability or infinite fluid viscosity, and there is no difference whether the pore is isolated or not. The bulk modulus derived here is the same as that in Blot＇s theory.