Porous Media Reconstruction Using a Cross-Section Image and Multiple-Point Geostatistics

Multiple-point geostatistics has been proved to be a powerful tool to capture curvilinear structures or complex features in training images. The three-dimensional reconstruction of porous media is of great significance to the research of mechanisms of fluid flow in porous media. A method using a cross-section image and multiple-point geostatistics to reconstruct the three-dimensional structures of porous media is proposed. A cross-section image of porous media with the resolution of micron is used as an original training image. Using multiple-point geostatistics and extracted sample points, each reconstructed image is taken as a new training image to reconstruct its next layer. Stacking all the reconstructed layers successively, a three-dimensional image of porous media is generated. This method is tested on the three-dimensional reconstruction of sandstone. The structures of porous media reconstructed through this method are similar to those of real volume data obtained by micro-CT scanning.