We describe the fractal analysis of three differently sized coal samples(0.350-0.833 mm,0.245-0.350 mm,and 0.198-0.245 mm).The influence of fractal dimension on CH 4 adsorption capacity is investigated.The physical parameters of the samples were determined via the Brunauer-Emmett-Teller(BET) theory.A CH 4 adsorption study over the pressures range from 0 to 5 MPa was carried out with a new volumetric measurement system.The CH 4 adsorption was measured using the differently sized coal.Two fractal dimensions,D 1 and D 2 were determined over the pressure ranges from 0 to 0.5 MPa and from 0.5 to 1 MPa,using the Frenkel-Halsey-Hill(FHH) method.We conclude that the two fractal dimensions correlate with the CH 4 adsorption capacity of the coal:increasing CH 4 adsorption capacity occurs with a corresponding increase in fractal dimension.Furthermore,D 1 and D 2 are positively correlated with surface area,pore volume,and samples size.The size distribution of the samples has fractal characteristics. We describe the fractal analysis of three differently sized coal samples (0.350-0.833 mm, 0.245-0.350 mm, and 0.198-0.245 mm). The influence of fractal dimension on CH 4 adsorption capacity is investigated. The physical parameters of the samples were determined via the Brunauer-Emmett-Teller (BET) theory. A CH 4 adsorption study over the pressures range from 0 to 5 MPa was carried out with a new volumetric measurement system. The CH 4 adsorption was measured using the differently sized coal. Two fractal dimensions, D 1 and D 2 were determined over the pressure ranges from 0 to 0.5 MPa and from 0.5 to 1 MPa using the Frenkel-Halsey-Hill (FHH) method. We conclude that the two fractal dimensions correlate with the CH 4 adsorption capacity of the coal: increasing CH 4 adsorption capacity occurs with a corresponding increase in fractal dimension. Durthermore, D 1 and D 2 are positively correlated with surface area, pore volume, and samples size. size distribution of the samples has fractal characteristic s.