We present a new phase-field formulation for the formation and propagation of a compaction band in high-porosity rocks. Novel features of the proposed formulation include (a) the effects of inertia on the rate of development of compaction bands, and (b) degradation mechanisms in tension, compression, and shear appropriate for dynamic strain localization problems where disturbances propagate in time in a wave-like fashion to induce micro-cracking, grain crushing, and frictional grain rearrangement in the rock. We also present a robust numerical technique to handle the spatiotemporal formation and evolution of the compaction band. We validate the model by simulating a benchmark problem involving a V-shape notched cylindrical specimen of Bentheim sandstone tested in conventional triaxial compression. The model is shown to reproduce different geometric styles of deformation that include pure compaction, shear-enhanced compaction, and a combination of pure and shear-enhanced compaction, where the combination mechanism consists of a straight primary compaction band surrounded by secondary chevron bands.

我们提出了一种新的相场公式，用于在高孔隙率岩石中形成和传播压实带。拟议公式的新特征包括 (a) 惯性对压实带发展速度的影响，以及 (b) 张力、压缩和剪切的退化机制，适用于扰动随时间在波浪中传播的动态应变定位问题- 类似的方式来诱导岩石中的微裂纹、颗粒破碎和摩擦颗粒重排。我们还提出了一种强大的数值技术来处理压实带的时空形成和演化。我们通过模拟一个基准问题来验证该模型，该基准问题涉及在常规三轴压缩中测试的 Bentheim 砂岩的 V 形缺口圆柱试样。