计算物理
計算物理
계산물리
Chinese Journal of Computational Physics
2015年
5期
586-594
,共9页
郑晓磊%刘志峰%王晓宏%施安峰
鄭曉磊%劉誌峰%王曉宏%施安峰
정효뢰%류지봉%왕효굉%시안봉
有限分析算法%多相流动%多孔介质%非均匀介质%多尺度模拟
有限分析算法%多相流動%多孔介質%非均勻介質%多呎度模擬
유한분석산법%다상류동%다공개질%비균균개질%다척도모의
finite analytic method%multi-phase flow%fluid flows in porous media%heterogeneous media%multi-scale simulation
为提高油藏数值模拟算法的计算效率,在求解单向稳态渗流的有限分析算法基础上,构建二维非均匀多孔介质中不可压两相渗流的有限分析算法。算法中,网格界面上的平均渗透率不是简单地取为相邻网格渗透率的调和平均值,而是通过奇点邻域解析解积分求得。相比于传统的数值算法,有限分析算法随着网格的加密,能够很快地收敛(仅需将原始网格细分至2×2或3×3),并且其计算精度和收敛性不依赖于介质的非均匀强度,从而计算效率得到提高。
為提高油藏數值模擬算法的計算效率,在求解單嚮穩態滲流的有限分析算法基礎上,構建二維非均勻多孔介質中不可壓兩相滲流的有限分析算法。算法中,網格界麵上的平均滲透率不是簡單地取為相鄰網格滲透率的調和平均值,而是通過奇點鄰域解析解積分求得。相比于傳統的數值算法,有限分析算法隨著網格的加密,能夠很快地收斂(僅需將原始網格細分至2×2或3×3),併且其計算精度和收斂性不依賴于介質的非均勻彊度,從而計算效率得到提高。
위제고유장수치모의산법적계산효솔,재구해단향은태삼류적유한분석산법기출상,구건이유비균균다공개질중불가압량상삼류적유한분석산법。산법중,망격계면상적평균삼투솔불시간단지취위상린망격삼투솔적조화평균치,이시통과기점린역해석해적분구득。상비우전통적수치산법,유한분석산법수착망격적가밀,능구흔쾌지수렴(부수장원시망격세분지2×2혹3×3),병차기계산정도화수렴성불의뢰우개질적비균균강도,종이계산효솔득도제고。
A finite analytic numerical scheme is constructed for two?dimensional two?phase flow in heterogeneous porous media. Compared with traditional numerical methods, FAM makes convergence faster as refinement parameter increases, and accuracy is independent with heterogeneity. In contrast, as using traditional numerical schemes to simulate flow through a strong heterogeneous porous medium, refinement ratio for grid cell needs to increase dramatically to get an accurate result. Compared with the proposed scheme, traditional numerical scheme underestimates greatly breakthrough time under coarse grids. However, to get a saturation distribution with high resolution even employing the proposed scheme, relative fine grids are still needed. This is different from FAM for solving a single phase flow, where coarse grids provide rather accurate results.