In order to explore the change of the reconstructed images beyond the range of the optical Memory effect, speckle-correlation imaging through scattering turbid media with the auxiliary of a known reference object was presented in this paper. The tolerated lowest range of the adjacent optical memory effects was analyzed by changing the relevancy of the point spread function of the target and reference objects in different sub-optical systems. In addition, the influence of the correlation of the point spread function on the quality of the reconstructed target image was discussed. As the correlation of point diffusion function of adjacent optical subsystem decreases gradually, the imaging effect also becomes worse gradually. When the correlation value is lower than 0.383 9, the reconstructed image can no longer be distinguished by the naked eye. For the point diffusion function of the same degree of correlation, its spatial distribution function does not affect the quality of the reconstructed target. At the same time, in the process of adjacent speckle superposition forming the superposition speckle, the superposition area is proportional to the simulated imaging effect, that is, the imaging effect becomes worse with the decrease of the superposition area of speckle.