Relative permeability is commonly used to model immiscible fluid flow through porous materials. In this work, we derive the relative relationship from conservation of energy, assuming that system be non-ergodic at large length scales and relying on averaging in both space time homogenize behavior. Explicit criteria are obtained define stationary conditions: (1) there can no net change for exten...

At present, there are only a few existing models that can be used to predict the relative permeability of unsaturated soil under deformations, and calculation process is relatively complex. In order fit measured value coefficient before deformation, this work employs simplified unified model soil, it obtains index λ deformation soil. addition, remains unchanged after deformation. Based on actua...