The spatial and temporal correlations of refraction index and irradiance scintillation in the convective turbulent tank for adaptive optics wavefront compensitive experiments are analyzed. The correlation functions are developed when the average velocity U0～0 or U0=0. The diffusion due to turbulent evolution increased is discussed in detail when velocity fluctuations V′ enlerging. The numerical calculation and experimental results show that temporal correlation decreases more rapidly and inner scale of frequency spectrum gets smaller due to turbulent evolution.