不规则介质采场模糊渗流理论与自燃发火位置预测

Directing towards the extreme irregularity of porous medium space that is formed in the goaf of mining when the rock is foundering, the project establishes a fuzzy differential equation and various boundary value problems on the basis of fuzzy analysis, which is close to delineate the fuzzy seepage flow of complicated stope gas.Around the finite solution of fuzzy differential equation, the structuring element.method of fuzzy is put forward about the calculation of fuzzy analysis, and the method is applied to systematically lucubrate many problems such as formulation of fuzzy-valued function, difference of fuzzy-valued function, integration of fuzzy-valued function under the meaning of Riemann, structure of solution of fuzzy differential equation. A series of correlative conclusion are obtained. The research is similarly applicable to describe some resolving of mathematical physics equation about the stope such as the methane traveling law, the gas dispersion, the concentration distributing of oxygen, thermal conduction, thermal diffusion.

根据采空区由岩石陷落形成的不规则漏风空间的特性，建立描述采场气体流动规律的模糊渗流方程，研究模糊渗流问题的解析方法和数值方法。在此基础上，结合采场生产和地质因素，提出采场自然发火位置预测和火灾控制的模糊分析模型。该研究成果将为防治矿井采场火灾提供新的数学分析工具，具有较大的理论与应用价值。.