Porosity is an important variable in consolidation theory. However, porosity information is missing in Biot’s model when the solid constituent of the porous media is assumed to be compressible. This paper develops a macro–microscopic coupled consolidation model in order to track the evolution of the porosity for saturated porous media with compressible constituents. The proposed model exploits a $u-{\epsilon }_{\mathrm{v}}^{\mathrm{sr}}-p$ form with the aim to incorporate the coupled behavior between the macroscopic and microscopic volumetric compressibility. Subsequently, a specific study on the analytical solutions for the case of a linear-loaded one-dimensional consolidation problem based on the proposed model is presented. Two examples are shown in order to demonstrate how to apply the proposed model. The proposed model paves the way to study the consolidation problem with porosity-dependent coefficients for saturated porous media with compressible constituents.

孔隙度是固结理论中的一个重要变量。然而，当多孔介质的固体成分被假定为可压缩时，Biot 模型中缺少孔隙率信息。本文开发了一个宏观-微观耦合固结模型，以跟踪具有可压缩成分的饱和多孔介质的孔隙率演变。所提出的模型利用了一个$你-{\epsilon }_{\mathrm{v}}^{\mathrm{sr}}-磷$形式的目的是结合宏观和微观体积压缩率之间的耦合行为。随后，对基于所提出模型的线性加载一维固结问题的解析解进行了具体研究。显示了两个示例以演示如何应用所提出的模型。所提出的模型为研究具有可压缩成分的饱和多孔介质的孔隙度相关系数的固结问题铺平了道路。