“…In this study, a multi-physical field fully coupled mathematical model was defined to describe coal seam deformation, fluid flow, and energy transmission and conversion in coal seam during CBM exploitation (Xia et al, 2015;Zhang et al, 2008). The mathematical model is established based on the following assumptions (Guo et al, 2015;Li et al, 2016;Wu et al, 2010a;Zhu et al, 2011): (1) coal is a homogeneous elastic medium with "dualporosity" composed of matrix and fractures; (2) the fractures are saturated with CH 4 and water; (3) CH 4 exists and migrates in pores and fractures, and water exists and migrates in fractures; (4) the adsorption, desorption, and diffusion of CH 4 mainly occur in matrix; (5) CH 4 adsorption and desorption follows Langmuir's law, and CH 4 diffusion follows Fick's law; (6) the migration of CH 4 and water in fractures follows the Darcy's law; (7) the coal deformation conforms the small elastic deformation, and the gas adsorption, desorption and pressure changes will cause changes in volumetric strain of coal (Fang et al, 2019a;Kumar et al, 2014;Langmuir et al, 1916;Wang et al, 2018aWang et al, , 2018b.…”