Stochastic Seepage Simulation for Bulk Terrestrial Domain Based on Difference Math Theorem

Abstract:

With Monte-Carlo theorem, inclusive of the uncertainty of double phase geo-material parameters as well as math model boundary condition, stochastic difference math model was carried out for bulk terrestrial underground water seepage on the basis of plain confined steady underground water flow math model. The key conclusions are: seepage field behavior has close relation with turbulence of random B.C.; distribution of stochastic head potential depends on the geo-born-variation of parameters and the methods introduced in this paper are applicable for this achievement.

• Periodical: Advanced Materials Research (Volumes 243-249)
• Pages: 2123-2129
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.243-249.2123
• Online since: May 2011
• Authors: Hui Biao Ma
• Keywords: Difference Math Theorem, Monte-Carlo Theorem, Stochastic Seepage

References

[1] Yajun Wang, Wohua Zhang, Weiliang Jing. Stochastic finite element analysis for fuzzy probability of embankment system by first-order approximation theorem. Chinese Journal of Zhejiang University (Engineering Science), 2007, 41(1): 52~56. In Chinese

[2] Ning Liu. Reliability of stochastic finite element method and its application. Beijing: China Water Power Press, 2001:3~6. In Chinese

[3] Yajun Wang, Changyu Wu, Dachun Ren. Research for Dike Section Risk Evaluation System Based on Fuzzy Conssitency Theorem as well as Analytic Hierarchy Process. Chinese Journal of Geotechnical Engineering Technique, 2006,20(1):1~8. In Chinese

[4] Jun Zhu, Shuyuan Lu. planar random flow field Theory. Wuhan Hydraulic and Electric Engineering, 1999 (5) :16~18. In Chinese

[5] KimChang Su , Baoyu Su, Baoyi Wei. based on Taylor series stochastic finite element method analysis of fractured rock random flow. Geotechnical Engineering, 2001 (4):485~488. In Chinese

[6] Naff RL and Vechia A V. Stochastic Analysis of Three-dimension Flow in a Bounded Domain. Water Resource Research, 1986,15 (5):695~704 .

DOI: 10.1029/wr022i005p00695

[7] Sizong Guo, Gang Chen. medium irregular stop fuzzy mathematical model of flow. Liaoning Technical University (Natural Science), 2001 (5 ):666~668. In Chinese

[8] Hui Gao, CFRD fuzzy finite element analysis of stress and deformation [MS Thesis]. Shaanxi: Xi'an University of Technology, 2001. In Chinese

[9] Chang Hee Mao. Seepage Analysis and Control. Beijing: Hydraulic Power Press, 1990:107~123. In Chinese

[10] Nazheng Sun. groundwater flow mathematical models and numerical methods. Beijing: Geological Publishing House, 1981:212~215. In Chinese

[11] Yunhua Liu, Nailiang Zhang. mathematical physics equations and their applications. Nanjing: Hohai University Press, 1994:32~33. In Chinese

[12] Yutian Chen. numerical solution of partial differential equations. Nanjing: Hohai University Press, 1997:160~178. In Chinese

[13] Hongren Zhang. finite difference method improvement. Hydrogeology and Engineering Geology, 1994 (2):27~30 . In Chinese