A study of the characteristics of the accumulative rock failure and its evolution by application of the group renormalization method were presented.In addition,the interaction and long-range correlated effects between the immediate neighboring units was studied.The concept of mechanical transference for model OFC,employed in the study of self-organized criticality,and the coefficient a were introduced into the calculation model for group renormalization.With the introduction,mechanisms for the drastic increase and de-crease of failure intensity of rocks were investigated under similar macro-conditions.