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有限元法数值试井分析中第三类边界条件的处理方法
引用本文:刘振宇,吕秀凤,李莉. 有限元法数值试井分析中第三类边界条件的处理方法[J]. 水动力学研究与进展(A辑), 2009, 24(3)
作者姓名:刘振宇  吕秀凤  李莉
作者单位:大庆石油学院,大庆,163318;大庆职业学院,大庆,163255;大庆石油勘探开发研究院,大庆,163712
基金项目:国家自然科学基金重点项目,黑龙江省教育厅项目 
摘    要:建立了单相流体在不稳定渗流条件下的有限元方程.重点介绍了当外边界有断层存在,且断层上有一定的流体通过时的处理方法.将井壁视为内边界,在空间上用三角形单元对求解区域进行剖分,在时间上采用向后差分离散.通过求解有限元方程得到了无因次压力、无因次流量的变化规律.通过对边界上参数不同的模型进行比较分析验证了方法的正确性.结果表明,用有限元法研究第三类边界条件的数值试井问题是可行的.

关 键 词:有限元法  数值试井  渗流  油藏数值模拟

The treatment method of the third boundary condition in numerical well test analysis by finite element method
LIU Zhen-yu,L Xiu-feng,LI li. The treatment method of the third boundary condition in numerical well test analysis by finite element method[J]. Chinese Journal of Hydrodynamics, 2009, 24(3)
Authors:LIU Zhen-yu  L Xiu-feng  LI li
Affiliation:1. Daqing Petroleum Institute;Daqing 163318;China;2. Daqing Vocational College;Daqing 163255;3. Daqing Petroleum Exploration and Development Institute;Daqing 163712;China
Abstract:In this paper, the finite element equations of single-phase are established under the condition of unsteady flow. The disposal way is introduced mainly when there is a fault in the external boundary and a certain amount of fluid can flows across the fault. Treat tThe well side face is treated as internal boundary and section the region is grided with triangle cell grid. These equations are dispersed in time by using backward difference method. The distribution of non dimensional dimensionless pressure and n...
Keywords:finite element method  numerical well test  fluid flow through porous media  reservoir numerical simulation  
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