气体在包含空洞的岩体中渗透的数学模型简化  

Simplified Mathematical Model for Gas Permeating Through Hollow Rock Mass

作　　者：王铁良[1] 曹渊[1,2] 邝飞虹[1] 郭永辉[1] 

机构地区：[1]西北核技术研究所,西安710024 [2]长安大学,西安710054

出　　处：《现代应用物理》2014年第1期45-50,共6页Modern Applied Physics

摘　　要：为了简化气体在包含空洞的岩体中渗透的数值模拟,通过比较气体在多孔介质中和空洞内运动的物理机理,分析了将空洞区域看成多孔介质,用统一的多孔介质中渗流模型模拟包含空洞的多孔介质中的流体渗透问题的合理性,给出了简化模型中空洞区域渗透率的选取方法,并通过算例进行了验证。研究结果表明,取空洞区域孔隙率为1,等效渗透率不小于多孔介质渗透率与多孔介质孔隙率之比时,将整个区域统一按多孔介质来处理,简化模型与原始模型数值模拟结果基本一致。In order to simplify the numerical simulation for gas permeation in a hollow masswe compared the physical mechanism of gas motion in porous medium with that in voidsand discussed the possibility of using general permeation model for porous medium to simulate the fluid permeation in porous medium containing voids by regarding the void as the porous medium.The method for evaluating the equivalent permeability of void is proposed and veri-fied.It is shown that when the porosity of the void is 1and the equivalent permeability of the void is no less than the permeability divided by the porosity of the porous mediumthe simulation results from the simplified modelwhich takes the area containing voids as the one with porous mediumare approximately the same as those from the general model for porous medium.

关 键 词：多孔介质 气体渗透 数学模型 

分 类 号：O35[理学—流体力学]