Phase-Field for Compaction Bands in Wet and Dry Limestones
摘要
We present a coupled hydromechanical phase-field framework for capturing the formation and propagation of compaction bands in porous media under wet and dry conditions. Breakage mechanics is used to characterize the free energy function in the intact and damaged material, while the phase-field variable provides a measure of the degree of grain crushing. Permeability reduction in the zone of compaction localization is modeled using the Kozeny-Carman equation accounting for microstructural evolution. The effect of water-weakening on the rock’s plastic response is described by a modified Cam-Clay model that is enhanced to accommodate partial saturation. Numerical simulations on Savonnières limestone samples demonstrate the ability of the model to capture compaction band formation in dry and wet rock samples.