Characteristics of Linear and Nonlinear Flow of Gas in Coal in Different Deformation Stage: An Experimental Study

"Darcy's law is widely used to describe the oil and gas flow characteristics in the multi-pore media reservoir. However, the low-velocity non-Darcy flow of oil and gas occurs in the multi-pore media reservoir under low permeability conditions. Meanwhile, the high-velocity non-Darcy flow of oil and gas occurs in the multi-pore media near the wellbore. The gas flow velocities in coal in different deformation stage under different gas pressure gradient were tested and the relationships between gas flow velocity and gas pressure gradient were discussed, which can help us to investigate the transformation conditions of gas linear flow and gas nonlinear flow in coal. The results showed that the gas flow in the coal under low effective stress environment can be described by Darcy's law. The low-velocity non-Darcy flow of gas gradually occurred and the start-up pressure gradient increased in the coal as the effective stress increased. The low-velocity non-Darcy flow of gas also occurred in the coal at the yield deformation stage, however, the start-up pressure gradient decreased as the effective stress increased in this stage. In post-peak stage, the highvelocity non-Darcy flow of gas occurred in the coal under low effective stress environment. The gas flow in the coal gradually returned to be Darcy flow as the effective stress increased. The mechanism of the phenomenon is discussed based on the experimental results. The research results can be used to guide well test analysis and prediction of oil-gas production. INTRODUCTIONThe oil and gas flow in original multi-pore media reservoir are usually regarded as steady and linear processes and can be described by Darcy’s law. However, the low-velocity non-Darcy flow of oil and gas occurs in the multi-pore media reservoir under low permeability conditions. Meanwhile, the highvelocity non-Darcy flow of oil and gas occurs in the multi-pore media near the wellbore or workface. The gas flow in the multi-pore media even may be unsteady under some conditions such as gas emission and outburst.The phenomenon of underground water low-velocity flow in clays was deviated from Darcy’s law was found in the end of the nineteenth century (King, 1898). The deviation from Darcy’s law was later reported and investigated more (Swartzendruber, 1962; Miller and Low, 1963). These researches revealed that the start-up pressure gradient exists under low permeability conditions. Klinkenberg (1941) proposed that the permeability constant as determined with gases is dependent upon the property of the gas, and is a linear function of the reciprocal mean pressure. This effect can be explained by taking into account the phenomena of slip, which are related closely to the mean free paths of the gas molecules."