Abstract: To solve the insufficiency of traditional GM(1,1) model,this paper studies the growth rate of the simulation values under different initial values of discrete GM(1,1) model.Optimization techniques is applied to solve the initial value,which proves that the modified discrete GM(1,1) model can perfectly simulate the exponential sequence.Two kinds of segmental corrected discrete GM(1,1) models are provided to prove the modeling mechanism and expand the conclusions.The results indicates the segmental corrected discrete GM(1,1) model with optimized initial values can perfectly simulate segmental geometric sequences.