Pores in coal have the characteristic of double peaks, and the bidisperse diffusion model is an effective method to describe the diffusion behavior in coal. At present, the traditional bidisperse diffusion models can be divided into “independent” mode and “dependent” mode, which have three main deficiencies as follows. Firstly, since the percentage of adsorbed CH4 in micropores or macropores cannot be accurately determined, the bidisperse diffusion model consists of two equations with three unknown parameters. It is impossible to get a unique solution only based on satisfying a high R2, which brings uncertainty to the solution of the model. Secondly, the ratio of macropore adsorption mass to the total adsorption mass β in some cases shows that CH4 is mainly stored in macropores, which is inconsistent with the physical phenomenon. Thirdly, the independent model is based on the assumption that the macropore diffusion and micropore diffusion are separate from each other, which is not consistent with the pore structure characteristics of coal. To solve the above problems, we put forward a novel two-stage diffusion mode via insightful analysis of the CH4 adsorption form, and the newly-established bidisperse diffusion model can better describe the CH4 diffusion behavior in coal. By using the novel model to analysis the CH4 diffusion behavior, we obtained the following results: (1) The CH4 adsorption form presents the characteristics of micropore filling and a monomolecular layer adsorption. Micropores are the main sites of CH4 adsorption. This adsorption form makes the desorption and diffusion resistance of CH4 vary in different pores, which leads to the CH4 source dynamic evolution during diffusion. (2) The novel model has been proved by experimental validation to have good applicability and can accurately describe the whole process of CH4 diffusion. Meanwhile, the obtained parameters by the new model not only with clear physical significance but also can explain the adsorption-diffusion mechanism of CH4 in multi-scale pores. (3) The traditional dependent model may degenerate into the unipore diffusion model under the condition of satisfying the CH4 occurrence characteristics and fitting accuracy, which results in losing the physical significance of the bidisperse diffusion model.
Read full abstract