The researches on shear band width and thedevelopment of compaction band are summarized. The importance of therelations between micro- and macro-scopic characteristics isemphasized. The shear banding is often the precursor of failure andfracture,which may cause geologic disasters, such as landslide. The exploitation of theoil and gas or the gas hydrate may cause the formation of compactionband, which may reduce porosity and lead to thefragmentation, which, in turn, causes the settlement and the extrusionof oil andgas. In that respect, some questions must be answered. How to obtain theband width and deformations of localization precisely? What changes of thepenetration of oil and gas will the localized band bring about?How do the micro-scopic characteristics on the grain level affect the macro-scopicbehavior?