李俊键;刘玉章;何鹏程;姜汉桥;

• 1:中国石油勘探开发研究院采油工程研究所

• 2:中国石油大学(北京)石油工程教育部重点实验室

摘要(Abstract)：

应用传统的对流扩散方程模拟聚驱后示踪剂产出曲线存在不适应性,将产生质量不守恒或模拟不出实际产出曲线问题.根据连续时间随机游走(CTRW)理论,利用CTRW模型对含聚合物的示踪剂测试实验的产出曲线进行模拟.结果表明:CTRW模型模拟的示踪剂产出曲线克服了基于传统的对流扩散方程模拟示踪剂产出曲线时所遇到的问题;CTRW模型对于模拟聚驱后示踪剂产出曲线具有良好的适应性,比传统的对流扩散方程模拟范围广.

关键词(KeyWords)：示踪剂;CTRW模型;聚合物驱后;对流扩散方程

Abstract:

Keywords:

基金项目(Foundation):国家科技重大专项(2009ZX05009-006)

作者(Author):李俊键;刘玉章;何鹏程;姜汉桥;

Email:

参考文献(References)：

• [1]Aniello M,Steven L B,Thomas P L.Analysis of high-dispersion tracer tests in cores containing polymer gels[J].Journal of Petrole-um Science and Engineering,1999(23):201-212.

• [2]Scher H,M Lax.Stochastic transport in a disordered solid,Ⅰ.Theory[J].Physical Review B,1973,7(10):4491-4502.

• [3]Scher H,Lax M.Stochastic transport in a disordered solid,Ⅱ.Impurity conduction[J].Physical Review B,1973,7(10):4502-4519.

• [4]Montroll E W,Scher H.Random walks on laaices,IV,Continuous-time walks and influence of absorbing boundaries[J].Journal ofStatistic Physics,1973,9(2):101-135.

• [5]熊云武,黄冠华,黄权中.非均质土柱中溶质迁移的连续时间随机游走模拟[J].水科学进展,2006,6(17):797-802.

• [6]Brenner H.The diffusion model of longitudinal mixing in beds of finite length.Numerical values[J].Chem.Eng.Sci.,1962(17):229-243.

• [7]Berkowitz B,Scher H,Silliman S E.Anomalous transport in laboratory—scale,heterogeneous porous media[J].Water ResourcesResearch,2000,36(1):149-158.

• [8]熊云武.溶质非费克迁移的连续时间随机游走模拟研究[D].北京:中国农业大学,2006.

• [9]Margolin G,Berkowilz B.Continuous time random walks revisited:First passage time and spatial distributions[J].Pbysiea A,2004(334):46-66.

• [10]Cortis A,Berkowitz B.Anomalous transport in classical soil and sand columns[J].Soil Science Society of America Journal,2004(68):1539-1548.

• [11]Cortis A,Gallo C,Scher H,et al.Numerical simulation of non—Fickian transport in geological formations with multiple—scale het-erogeneities[R].Water Resources Research,2004.

• [12]Dentz M,Kinzelbach H.Temporal behavior of a solute cloud in a heterogeneous porous medium 3,Numerical simulations[R].WaterResources Research,2002.

• [13]Dentz M,Cortis A,Scher H,et al.Time behavior of solute transport in heterogeneous media:Transition from anomalous to normaltransport[J].Advances in Water Resources,2004(27):155-173.