基于连续介质模型的颗粒材料孔隙度及孔隙水压力计算公式

Evolution of porosity and pore water pressure of granular materials based on continuum model

孔隙度是能够部分反映颗粒材料微观结构的一个宏观量,其数值及其演化对颗粒材料的宏观力学行为有重要影响。基于连续介质模型,在颗粒体积应变均匀的前提下推导了颗粒材料的孔隙度随颗粒集合局部平均体积应变的演化公式,并应用该关系式结合孔隙水状态方程给出了饱和颗粒材料的孔隙水压力与孔隙度、固体颗粒体积模量、固体颗粒变形之间的关系。所得公式可用于饱和含液颗粒材料流–固耦合计算或饱和多孔介质宏观–细观多尺度流–固耦合渗流分析。

The porosity is a macro-variable which can represent partly micro-structures of granular materials. Based on the continuum model of granular materials, an evolution formula for the porosity with local average volumetric strain of granular assembly is deduced. Provided the change of grain volume is uniform, and the formula is aUied with pore water state equation, the relationship among the pore water pressures and the porosity, the volumetric module of grain and the volumetric strain of grain for saturated granular materials is presented. The results obtained can be applied to the numerical simulation of fluid-solid coupling for statured granular materials or to the multi-scale analysis of fluid-solid seepage for porous materials.