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 

作者机构：Key Laboratory of Gas and Fire Control for Coal Mines (China University of Mining & Technology) Ministry of Education School of Computer Science and Technology Jiangsu Normal University 

出 版 物：《International Journal of Mining Science and Technology》 (矿业科学技术学报（英文版）)

年 卷 期：2018年第28卷第2期

页      面：331-334页

核心收录：

学科分类：0819[工学-矿业工程] 08[工学] 

基　　金：provided by the Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD) 

主　　题：Coalbed methane Migration Unidirectional flow Similarity solution Simplified solving Numerical method 

摘      要：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 ***, 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.