The memory-effect based speckle deconvolution technique is a method recently proposed to realize imaging through scattering layers. There exist many algorithms used in speckle deconvolution, but there seldom exists specific comparative analysis work so far. A system for memory-effect based imaging through scattering layers is first designed and built. Then the detected speckles are deconvoluted to reconstruct the object image. During the progress of reconstruction, the cross-correlation deconvolution algorithm, the Wiener filtering algorithm, the regularized deconvolution algorithm and the Lucy-Richardson algorithm are respectively used for deconvolution. A number of image quality evaluation indexes are calculated for the images recovered by different algorithms. Considering the image quality and the computation time, it is concluded that the cross-correlation deconvolution algorithm has the greatest advantage in the application of imaging through scattering layers, which is briefly explained in principle.