A simple method for solving unidirectional methane gas flow in coal seam based on similarity solution

作者：Zhou Yan^*; Meng Qian; Lin Baiquan; Qin Jilong; Zhou Guiping

来源：International Journal of Mining Science and Technology, 2018, 28(2): 331-334.

DOI：10.1016/j.ijmst.2017.12.006

• Coalbed methane
• Migration
• Unidirectional flow
• Similarity solution
• Simplified solving
• Numerical method

The equation used to model the unidirectional flow of methane gas in coal seams is usually formulated as a nonlinear partial differential equation, which needs to be solved numerically with a computer program. Nevertheless, for people without access to the computer program, the conventional numerical method may be inconvenient. Thus, the objective here is to seek some method simpler than the conventional one for solving the flow problem. A commonly used model of the unidirectional methane gas flow is considered, where the methane adsorption is described by the Langmuir isotherm and the free gas is treated as real gas. By introducing the similarity solution, a simple method for solving the flow model is proposed, which can be done on a hand calculator. It is shown by two examples that the gas pressure profile obtained by the proposed method agrees well with the direct numerical solution of the flow model.

• 出版日期2018-3
• 单位中国矿业大学（北京）