ANALYSIS OF POROSITY, PERMEABILITY, AND ANISOTROPY OF SANDSTONE IN FREEZE–THAW ENVIRONMENTS USING COMPUTED TOMOGRAPHY AND FRACTAL THEORY

Author:

TAN HAO1ORCID,SONG YONGJUN1ORCID,GUO XIXI1

Affiliation:

1. College of Architecture and Civil Engineering, Xi’an University of Science and Technology, 58 Yanta Middle Road, Xi’an, Shaanxi 710054, P. R. China

Abstract

An in-depth understanding of the deterioration characteristics of porous rock materials in freeze–thaw (F–T) environments is very important for rock mass engineering in cold regions. However, quantitative descriptions of key rock indicators such as porosity, permeability, and anisotropy are lacking. In this paper, computed tomography (CT) was used to study saturated intact sandstone, saturated fractured sandstone, and ice-filled fractured sandstone under various F–T cycles and stress states. Meso-structural parameters were obtained by reconstructing the three-dimensional fracture networks from CT images. Then, based on fractal geometry theory, the fractal dimension ([Formula: see text], tortuosity fractal dimension ([Formula: see text], and anisotropic two-dimensional fractal dimension ([Formula: see text] of the sandstone samples were analyzed quantitatively. The [Formula: see text] gradually increased during the F–T process, while [Formula: see text] gradually decreased. Compared with [Formula: see text], [Formula: see text] was found to describe changes in the absolute permeability of rocks under F–T cycling more accurately. Anisotropy in sandstone was enhanced by F–T cycling. After uniaxial compression, the [Formula: see text] value was the greatest in ice-filled fractured sandstone. In addition, the tree-like fracture structure produced by F–T cycling expanded the range of self-similarity, which enhanced the fractal characteristics of sandstone. However, due to the large frost heave pressure of ice-filled sandstone, fracture expansion accelerated in the later period of F–T cycling, which destroyed the self-similarity. These results assist in understanding the F–T characteristics of porous rock materials. The method described provides a new way to better evaluate and predict F–T-related engineering disasters.

Funder

National Natural Science Foundation of China

Natural Science Foundation of Shaanxi Province

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

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