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| An improved Green element method and its application in seepage problems |
| Received:September 07, 2020 Revised:October 19, 2020 |
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| DOI：10.7511/jslx20200907001 |
| KeyWord:Green element method boundary element method flow mechanics in porous media precision mixed boundary element method |
| Author | Institution |
| 方思冬 |
中国石化石油勘探开发研究院, 北京 |
| 程林松 |
中国石油大学北京, 石油工程学院, 北京 |
| 饶翔 |
中国石油大学北京, 石油工程学院, 北京 |
| 吴永辉 |
中国石油大学北京, 石油工程学院, 北京 |
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| Abstract: |
| In this paper,Green's formula and basic solutionswere used to derive the direct boundary integral equation to solve the seepage problem.The numerical discretization of the boundary integral equation is based on the Green element method,which improves the solution method of pressure and pressure derivative in the original method.According to the characteristics of the method,the method is named as the mixed boundary element method.Compared with the Green element method,this method explicitly considers the external normal flow value and pressure value of the solution node,and enables the obtained numerical solution to be continuous in the solution area,conforming to the actual physical process,and improved calculation accuracy without increasing the number of unknowns.The influence of different grid types on the simulation calculation results is analysed,and the steady seepage problem, the unsteady (transient) seepage problem and the unsteady state problem are calculated. The results show that the improved method improves the calculation accuracy,and the seepage problem has better adaptability. |
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