Advanced Search
  • 全国中文核心期刊
  • 中国科技核心期刊
  • 美国工程索引（EI）收录期刊
  • Scopus数据库收录期刊
Volume 40 Issue 11
Turn off MathJax
Article Contents
Abstract
References
DENG Zhi-ping, LI Dian-qing, QI Xiao-hui, CAO Zi-jun. Simulation of geological uncertainty using modified generalized coupled Markov chain[J]. Chinese Journal of Geotechnical Engineering, 2018, 40(11): 2041-2050. DOI: 10.11779/CJGE201811010
Citation: DENG Zhi-ping, LI Dian-qing, QI Xiao-hui, CAO Zi-jun. Simulation of geological uncertainty using modified generalized coupled Markov chain[J]. Chinese Journal of Geotechnical Engineering, 2018, 40(11): 2041-2050. DOI: 10.11779/CJGE201811010
shu

Simulation of geological uncertainty using modified generalized coupled Markov chain

  • 1. State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China;
    2. School of Water Resources and Ecological Engineering, Nanchang Institute of Technology, Nanchang 330099, China;
    3. Institute of Engineering Risk and Disaster Prevention, Wuhan University, Wuhan 430072, China

More Information
  • Received Date: September 23, 2017
  • Published Date: November 24, 2018
    Graphical Abstract
    • Abstract
  • The traditional generalized coupled Markov chain (GCMC) is an effective model for the simulation of geological uncertainty. However, it cannot be directly applied to geotechnical problems. The reason lies in that one important parameter of GCMC, namely horizontal transition probability matrix (HTPM), is hard to be estimated due to the typical large distance between boreholes. Hence, In the framework of GCMC, a maximum likelihood estimation method for HTPMs based on borehole data is proposed. The validity of the method is verified. On this basis, the information entropy plot is adopted herein to quantify geological uncertainty. In addition, the borehole data from Dun Laoghaire Harbour, Dublin City, Ireland is used to simulate the geological uncertainty. The influences of layout schemes of boreholes on HTPMs are investigated. Moreover, those on simulation of geological uncertainty are explored. The results show that the proposed method can effectively estimate HTPM, which lays a foundation for analysis of geological uncertainty based on borehole data. The layout scheme of boreholes is very important for the estimation of the transition probability matrix in all directions and the simulated results of the geological uncertainty. Adequate borehole data should be provided to obtain accurate transition probability matrices. The boreholes should be designed in the key research area to minimize the simulation of geological uncertainty. The information entropy plot can visually quantify the stratigraphic simulation uncertainty, which can be used to guide the design of borehole schemes.
    • FullText(HTML)
    • References (25)
  • [1]
    HU Q F, HUANG H W.Risk analysis of soil transition in tunnel works[C]// Underground Space--the 4th Dimension of Metropolises: Proceedings of the 33rd ITA-AITES World Tunnel Congress. London: Taylor & Francis, 2007.
    [2]
    HANSEN L, EILERTSEN R, SOLBERG I L, et al.Stratigraphic evaluation of a Holocene clay-slide in Northern Norway[J]. Landslides, 2007, 4(3): 233.
    [3]
    SCHULZ W H, MCKENNA J P, KIBLER J D, et al.Relations between hydrology and velocity of a continuously moving landslide—evidence of pore-pressure feedback regulating landslide motion?[J]. Landslides, 2009, 6(3): 181-190.
    [4]
    邓志平, 李典庆, 曹子君, 等. 考虑地层变异性和土体参数变异性的边坡可靠度分析[J]. 岩土工程学报, 2017, 39(6): 986-995.
    (DENG Zhi-ping, LI Dian-qing, CAO Zi-jun, et al.Slope reliability analysis considering geological uncertainty and spatial variability of soil parameters[J]. Chinese Journal of Geotechnical Engineering, 2017, 39(6): 986-995. (in Chinese))
    [5]
    祁小辉, 李典庆, 曹子君, 等. 考虑地层变异的边坡稳定不确定性分析[J]. 岩土力学, 2017, 38(5): 1385-1396.
    (QI Xiao-hui, LI Dian-qing, CAO Zi-jun, et al.Uncertainty analysis of slope stability considering geologic uncertainty[J]. Rock and Soil Mechanics, 2017, 38(5): 1385-1396. (in Chinese))
    [6]
    ELKATEB T, CHALATURNYK R, ROBERTSON P K.An overview of soil heterogeneity: quantification and implications on geotechnical field problems[J]. Canadian Geotechnical Journal, 2003, 40(1): 1-15.
    [7]
    LIAO T, MAYNE P W.Stratigraphic delineation by three-dimensional clustering of piezocone data[J]. Georisk Assessment & Management of Risk for Engineered Systems & Geohazards, 2007, 1(2): 102-119.
    [8]
    CAO Z, WANG Y.Bayesian approach for probabilistic site characterization using cone penetration tests[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2013, 139(2): 267-276.
    [9]
    CHING J, WANG J, JUANG C H, et al.Cone penetration test (CPT)-based stratigraphic profiling using the wavelet transform modulus maxima method[J]. Canadian Geotechnical Journal, 2015, 52(12): 1993-2007.
    [10]
    NOBRE M M, SYKES J F.Application of Bayesian kriging to subsurface characterization[J]. Canadian Geotechnical Journal, 2011, 29(4): 589-598.
    [11]
    DASAKA S M, ZHANG L M.Spatial variability of in situ weathered soil[J]. Géotechnique, 2012, 62(5): 375-384.
    [12]
    SCHÖBI R, SUDRET B. Application of conditional random fields and sparse polynomial chaos expansions to geotechnical problems[J]. Geotechnical Safety and Risk V, 2015: 445.
    [13]
    ZHANG L M, DASAKA S M.Uncertainties in geologic profiles vs. variability in pile founding depth[J]. Journal of Geotechnical & Geoenvironmental Engineering, 2010, 136(11): 1475-1488.
    [14]
    SITHARAM T G, SAMUI P, ANBAZHAGAN P.Spatial variability of rock depth in bangalore using geostatistical, neural network and support vector machine models[J]. Geotechnical & Geological Engineering, 2008, 26(5): 503-517.
    [15]
    LI X Y, ZHANG L M, LI J H.Using conditioned random field to characterize the variability of geologic profiles[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2015, 142(4): 04015096.
    [16]
    ELFEKI A, DEKKING M.A Markov chain model for subsurface characterization: theory and applications[J]. Mathematical Geology, 2001, 33(5): 569-589.
    [17]
    祁小辉, 李典庆, 周创兵, 等. 基于钻孔资料的耦合马尔可夫链水平方向转移概率矩阵估计[J]. 应用基础与工程科学学报, 2017, 25(5): 967-984.
    (QI Xiao-hui, LI Dian-qing, ZHOU Chuang-bing, et al.Estimation of horizontal transition probability matrix for coupled Markov chain based on borehole data[J]. Journal of Basic Science and Engineering, 2017, 25(5): 967-984. (in Chinese))
    [18]
    ELFEKI A, DEKKING M.Modelling subsurface heterogeneity by coupled Markov chains: directional dependency, walther’s law and entropy[J]. Geotechnical and Geological Engineering, 2005, 23(6): 721-756.
    [19]
    ELFEKI A, DEKKING M.Reducing geological uncertainty by conditioning on boreholes: the coupled Markov chain approach[J]. Hydrogeology Journal, 2007, 15(8): 1439-1455.
    [20]
    PARK E, ELFEKI A, SONG Y, KIM K.Generalized coupled Markov chain model for characterizing categorical variables in soil mapping[J]. Soil Science Society of America Journal, 2007, 71(3): 909-917.
    [21]
    PARK E.A multidimensional, generalized coupled Markov chain model for surface and subsurface characterization[J]. Water Resources Research, 2010, 46(11): 6291-6297.
    [22]
    QI X H, LI D Q, PHOON K K, et al.Simulation of geologic uncertainty using coupled Markov chain[J]. Engineering Geology, 2016, 207: 129-140.
    [23]
    LI W, ZHANG C.A single-chain-based multidimensional Markov chain model for subsurface characterization[J]. Environmental and Ecological Statistics, 2008, 15(2): 157-174.
    [24]
    WELLMANN J F, REGENAUER-LIEB K. Uncertainties have a meaning: information entropy as a quality measure for 3-D geological models[J]. Tectonophysics, 2012, 526-529(2): 207-216.
    [25]
    LI Z, WANG X, WANG H, et al.Quantifying stratigraphic uncertainties by stochastic simulation techniques based on Markov random field[J]. Engineering Geology, 2016, 201(22): 106-122.
    • Related Articles
  • Supplements (0)

  • Cited by

    Periodical cited type(10)

    1. 张岩，陈国兴，赵凯，方怡，彭艳菊. 考虑地层变异和趋势非线性的海床波速结构非平稳随机场模拟方法. 地球科学. 2024(11): 4225-4237 .
    2. 曾正强，蔡永昌，吴江斌. 基于局部耦合马尔科夫链模型的钻孔优化方法. 岩土工程学报. 2024(12): 2620-2628 . 本站查看
    3. 樊一凡，陈之毅. 基于优化选点的土层剪切波速随机性对地铁车站结构抗震性能的影响研究. 土木工程学报. 2023(08): 174-183 .
    4. 朱峻生，王胜，柏君，徐正宣，陈明浩，李昭淇，刘鑫，张自豪，刘兴倚. 基于改进KNN算法的有限钻孔预测全域地质特征的方法. 隧道建设(中英文). 2023(S2): 348-358 .
    5. 潘敏，邓志平，蒋水华. 基于边界模型和广义耦合马尔可夫链模型的地层变异性模拟方法. 地质科技通报. 2022(02): 176-186 .
    6. 邓辉，马雷，高迪，赵卫东，杨曼. 基于转移概率地质统计的淮南顾桥矿区松散层含水介质刻画. 现代地质. 2022(02): 602-609 .
    7. 缑变彩，夏阳，高名岳，王朋艳，王帆. 基于盾构数据驱动的地质条件动态预测. 土木工程与管理学报. 2022(03): 116-120 .
    8. 程利力，陈健，陈睿，魏林春. 基于二维马尔可夫链的武汉长江公铁隧道地层识别. 土木工程与管理学报. 2021(01): 169-174+182 .
    9. 张东明，代鉷锋，王慧，黄宏伟，胡群芳. 考虑地层变异的浅基础承载力分析. 地下空间与工程学报. 2020(05): 1412-1419 .
    10. 邓志平，牛景太，潘敏，彭友文，崔猛. 考虑地层变异性和土体参数空间变异性的边坡可靠度全概率设计方法. 岩土工程学报. 2019(06): 1083-1090 . 本站查看

    Other cited types(5)

Catalog

    Get Citation
    PDF
    XML
    Article views (248) PDF downloads (186) Cited by(15)
    Related
    Copyright © 2010 Editorial By Chinese Journal of Geotechnical Engineering 苏ICP备05007122号-11公安联网备案号：32010602011255
    Editorial Office address：34 Hujuguan,Nanjing 210024,ChinaPostal Code：210024Tel：025-85829534，85829556E-mail: ge@nhri.cn

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return