4.7 Article

A Novel Permeability Prediction Model for Deep Coal via NMR and Fractal Theory

Journal

MATHEMATICS
Volume 11, Issue 1, Pages -

Publisher

MDPI
DOI: 10.3390/math11010118

Keywords

NMR; permeability; fractal dimension; pore structure

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A permeability model with fractal characteristics (FCP model) for deep coal based on nuclear magnetic resonance (NMR) is established in this study. The coal samples consist mainly of micrometer and nanometer pores, with adsorption pores accounting for the largest proportion followed by percolation pores and migration pores. The FCP model shows significantly higher prediction accuracy compared to other three models, providing a fast and effective method for the evaluation of deep coal permeability.
A quantitative description of the permeability of deep coal is of great significance for improving coalbed methane recovery and preventing gas disasters. The Schlumberger-Doll research (SDR) model is often used to predict rock permeability, but it has inherent defects in characterizing the pore structure of deep coal. In this study, a permeability model with fractal characteristics (FCP model) is established for deep coal based on nuclear magnetic resonance (NMR). The constants in the SDR model are theoretically explained by the relevant parameters in the FCP model. Centrifugation and NMR experiments were performed to determine the optimal centrifugal force and dual T-2 cutoff values. The results show that the coal samples are mainly composed of micrometer and nanometer pores. The adsorption pores account for the largest proportion, followed by the percolation pores and migration pores. In addition, the prediction accuracy of the FCP model is significantly higher than that of the other three models, which provides a fast and effective method for the evaluation of deep coal permeability.

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