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。
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 non dimensional dimensionless production rate were obtained by solve solving the finite element equation. To validate the equations and the computation program, the numerical solution obtained from the models with different boundary parameters was compared. It is shown that the Finite Element Method is accurate and available to research the well test problem in reservoir with the third boundary condition