Mathematical Model of Coalbed Gas Flow with Klinkenberg Effects in Multi-Physical Fields and its Analytic Solution

摘要: The deep-mining coal seam impacted by high in situ stress, where Klinkenberg effects for gas flow were very obvious due to low permeability, could be regarded as a porous and tight gas-bearing media. Moreover, the had significant effect on behavior of seam. Based properties seams affected stress field, geothermal temperature field geo-electric new mathematical model coalbed flow, which reflected impact multi-physical fields, was developed establishing equation, state continuity equation content gas. analytic solution derived one-dimensional steady with sensitivity analysis its physical parameters carried out comparing available solutions measured values. results show that this are closer values compared those without effects, can reflect more accurately seams. is sensitive change factor b grad G than depth h.