A Shannon entropy-based model for the gas adsorption process by coal

The adsorption behavior of gas by coal layers is crucial for preventing and controlling mine gas disasters, alleviating supply issues related to conventional fossil fuels, and reducing environmental pollution. Therefore, this study aims to characterize the gas adsorption process in coal using a probability method based on Shannon entropy theory. The proposed entropic model effectively predicts the temporal variation of gas adsorption in coal, demonstrating a high correlation coefficient of 0.941, a relative error of 0.101, and a low relative root mean square error of 0.201. Furthermore, the maximum gas adsorption capacity identified in the entropy-based model is closely associated with several influencing factors, including temperature, pressure, moisture content, coal particle size, and coal type. The calibrated entropic model features a straightforward mathematical form and serves as a valuable tool for predicting variations in gas adsorption amounts in various engineering scenarios, provided that certain conditions (temperature, pressure, moisture content, and coal characteristics) are established from limited datasets.