Fractal dynamics model of gas adsorption in porous media

Adsorption temperature, pressure, and pore structure parameters are the key factors affecting gas adsorption in porous media. However, an adsorption dynamics model has not been established that comprehensively couples adsorption temperature, adsorption pressure, and pore structure parameters. In this study, the methane adsorption and pore structure measurements are conducted, and a novel fractal dynamics model of gas adsorption in porous media is proposed. The research results show the proposed model is a function of adsorption temperature (T), adsorption pressure (P), pore size parameters (γmax and γmin), fractal dimension (Df) for pore size, and fractal dimension (DT) for pore tortuosity. The error analysis indicates the predicted adsorption amount from the proposed model matches the measured adsorption amount. The proposed model achieves the determination of the critical point of gas absorption's temperature and pressure effects through a temperature-pressure dynamics analysis. This model provides a methodological basis for clean production based on the adsorption principle and also establishes a significant foundation for the fractal design strategies of novel materials.