Reconstruction of anisotropic 3D medium using multiple 2D images

Abstract

Constructing three-dimensional (3D) structures from two-dimensional (2D) images using computer mathematical modeling methods is the principal method of obtaining the 3D structure of a porous medium. In a typical anisotropic medium, orthogonal slices show different characteristics. This study uses multiple 2D images to characterize the orthogonal slices of an anisotropic 3D medium. First, a completeness analysis method is proposed, according to which a reasonable reconstruction model can be determined while using multiple 2D images to reconstruct an anisotropic 3D structure. A 3D grid reconstruction framework is also proposed by which the morphology of multiple 2D images can be effectively reproduced on the corresponding orthogonal slices of a 3D structure. In addition, a pattern replication method based on an orthogonal chord is adopted to improve the reconstructed morphology. Finally, two groups of experiments are performed on core samples to validate the performance of the proposed method. Based on experiments, our proposed method can successfully reconstruct an anisotropic structure from multiple 2D images.