The pore structure of porous media directly affects its permeability characteristics and fluid flow properties, making accurate reconstruction of these structures of great significance. In recent years, multipoint statistics (MPS) methods have been widely used in pore structure modeling. Among them, the SNESIM algorithm, as an advanced MPS technique, has been extensively applied in the study of porous media pore structures. This paper aims to investigate the effectiveness of the SNESIM algorithm in reconstructing pore structures on 2D slices of cores with different porosities taken from the same core. Furthermore, it analyzes the advantages and limitations of the algorithm and its applicable conditions. This study utilizes CT scan images to construct digital core technology and applies the SNESIM algorithm to reconstruct pore structures of core slices with different porosities. By analyzing performance parameters such as porosity, pore throat ratio, average grain radius, coordination number, and permeability, the study found that the reconstructed images in most samples can maintain a trend similar to that of the training images, demonstrating the high applicability and reliability of the SNESIM algorithm in pore structure reconstruction. However, the core slices used in this study were all taken from the same core. Effectively transferring the pore structures from the 2D plane to the 3D pore space and restoring the pore structures to the greatest extent still requires further research. In particular, when dealing with complex pore structures, the accuracy and performance of the SNESIM algorithm need further improvement. Future research will focus on optimizing the algorithm to handle more diverse pore structures and exploring 3D reconstruction methods to more comprehensively describe and analyze the pore characteristics in actual porous media.