FRACTAL CHARACTERIZATION ON FRACTURE VOLUME IN COAL BASED ON CT SCANNING: PRINCIPLE, METHODOLOGY, AND IMPLICATION

Author:

ZHANG ZHEN1,LIU GAOFENG12ORCID,WANG XIAOMING3,LI BAOLIN1,LIU HUAN1

Affiliation:

1. School of Resources and Environment, Henan Polytechnic University, Jiaozuo 454003, P. R. China

2. Collaborative Innovation Center of Coalbed, Methane and Shale Gas for Central Plains Economic Region, Henan Province, Henan Polytechnic University, Jiaozuo 454003, P. R. China

3. Key Laboratory of Tectonics and Petroleum Resources, China University of Geosciences, Wuhan 430074, P. R. China

Abstract

This paper proposes a method for the fractal characterization on fracture volume in coal based on CT scanning experiment, and derives the relation among the fractal dimension [Formula: see text], fracture volume and length scale. The principle and methodology were deduced in detail, and the rationality was examined by the classical Mandelbrot fractal equation on fractal structure in porous media. The results demonstrate fracture volume is the comprehensive embodiment of the height, length, and aperture of fracture. Consequently, the estimated fractal dimension [Formula: see text] can more comprehensively symbolize the fractal characteristic on fracture volume of coal in three-dimensional space than the fractal dimension for fracture number. Therefore, it is worth to be further studied on establishing the analytical equation for fluids transport characteristic parameters in porous media based on [Formula: see text].

Funder

National Natural Science Foundation of China

National Major Science and Technology Projects of China

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

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