Volume 41 Issue 2
Mar.  2022
Turn off MathJax
Article Contents
Pan Min, Deng Zhiping, Jiang Shuihua. Simulation method of stratigraphic uncertainty using a boundary model and generalized coupled Markov chain model[J]. Bulletin of Geological Science and Technology, 2022, 41(2): 176-186. doi: 10.19509/j.cnki.dzkq.2022.0106
Citation: Pan Min, Deng Zhiping, Jiang Shuihua. Simulation method of stratigraphic uncertainty using a boundary model and generalized coupled Markov chain model[J]. Bulletin of Geological Science and Technology, 2022, 41(2): 176-186. doi: 10.19509/j.cnki.dzkq.2022.0106

Simulation method of stratigraphic uncertainty using a boundary model and generalized coupled Markov chain model

doi: 10.19509/j.cnki.dzkq.2022.0106
  • Received Date: 23 Jun 2021
  • Stratigraphic uncertainty has a significant impact on the performance evaluation of geotechnical structures, and it is important for engineering practice to accurately characterize the uncertainty. Hence, an effective simulation method of geological uncertainty is proposed. In the framework of probability, the boundary model and the generalized coupled Markov chain model are coupled to make full use of their advantages. First, the parameters of the boundary model are identified by the Bayes method, and then the boundary of the rock-soil material is simulated by a conditional random field. Then, the boundary model simulation results are used as background information in the generalized coupled Markov chain model to realize the coupling of the two models. Finally, taking a construction site in Hong Kong as an example, the simulation results of stratigraphic uncertainties for three different models are compared, and the advantages of the combination model proposed in this paper are clarified. The effects of the number and location of boreholes on the stratigraphic uncertainty simulation are discussed. The results show that compared with the boundary model and the generalized coupled Markov chain model, the coupling model can not only simulate the complicated stratum distribution but also consider the spatial distribution trend of the boundary and effectively avoid the geological anomaly phenomenon. The borehole layout scheme has a great impact on the stratigraphic uncertainty and its realization.

     

  • loading
  • [1]
    Fenton G A, Griffiths D V. Reliability-based deep foundation design[M]. [S. l. ]: Probabilistic Applications in Geotechnical Engineering, 2007: 1-12.
    [2]
    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. https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201706005.htm

    Deng Z P, Li D Q, Cao Z J, 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 with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201706005.htm
    [3]
    Li D Q, Qi X H, Cao Z J, et al. Evaluating slope stability uncertainty using coupled Markov chain[J]. Computers and Geotechnics, 2016, 73: 72-82. doi: 10.1016/j.compgeo.2015.11.021
    [4]
    于正, 杨龙才, 张勇, 等. 考虑地层变异特征一致性的围岩变形不确定性分析[J]. 岩土力学, 2019, 40(5): 1947-1956. https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX201905038.htm

    Yu Z, Yang L C, Zhang Y, et al. Uncertainty analysis of tunnel surrounding rock deformation considering consistency of geological heterogeneity features[J]. Rock and Soil Mechanics, 2019, 40(5): 1947-1956(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX201905038.htm
    [5]
    连志鹏, 徐勇, 付圣, 等. 采用多模型融合方法评价滑坡灾害易发性: 以湖北省五峰县为例[J]. 地质科技通报, 2020, 39(3): 178-186. doi: 10.19509/j.cnki.dzkq.2020.0319

    Lian Z P, Xu Y, Fu S, et al. Landslide susceptibility assessment based on multi-model fusion method: A case study in Wufeng County, Hubei Province[J]. Bulletin of Geological Science and Technology, 2020, 39(3): 178-186(in Chinese with English abstract). doi: 10.19509/j.cnki.dzkq.2020.0319
    [6]
    Phoon K K, Kulhawy F H. Characterization of geotechnical variability[J]. Canadian Geotechnical Journal, 1999, 36(4): 612-624. doi: 10.1139/t99-038
    [7]
    官东林, 文国军, 王玉丹, 等. 基于线激光扫描的岩石激光钻孔的三维重建和可视化[J]. 地质科技通报, 2021, 40(3): 173-183. doi: 10.19509/j.cnki.dzkq.2021.0310

    Guan D L, Wen G J, Wang Y D, et al. 3D reconstruction and visualization for laser drilling hole on rock based on linelaser scanning[J]. Bulletin of Geological Science and Technology, 2021, 40(3): 173-183(in Chinese with English abstract). doi: 10.19509/j.cnki.dzkq.2021.0310
    [8]
    Gong W P, Tang H M, Wang H, et al. Probabilistic analysis and design of stabilizing piles in slope considering stratigraphic uncertainty[J]. Engineering Geology, 2019, 259: 105-162.
    [9]
    Zhu H, Zhang L M. Characterizing geotechnical anisotropic spatial variations using random field theory[J]. Canadian Geotechnical Journal, 2013, 50(7): 723-734. doi: 10.1139/cgj-2012-0345
    [10]
    谭晓慧, 董小乐, 费锁柱, 等. 基于KL展开的可靠度分析方法及其应用[J]. 岩土工程学报, 2020, 42(5): 808-816. https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC202005005.htm

    Tan X H, Dong X L, Fei S Z, et al. Reliability analysis method based on KL expansion and its application[J]. Chinese Journal of Geotechnical Engineering, 2020, 42(5): 808-816(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC202005005.htm
    [11]
    Jiang S H, Papaioannou I, Straub D. Bayesian updating of slope reliability in spatially variable soils with in-situ measurements[J]. Engineering Geology, 2018, 239: 310-320. doi: 10.1016/j.enggeo.2018.03.021
    [12]
    李典庆, 蒋水华, 周创兵, 等. 考虑参数空间变异性的边坡可靠度分析非侵入式随机有限元法[J]. 岩土工程学报, 2013, 35(8): 1413-1422. https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201308008.htm

    Li D Q, Jiang S H, Zhou C B, et al. Reliability analysis of slope using non-intrusive stochastic finite element method considering spatial variability of soil parameters[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(8): 1413-1422(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201308008.htm
    [13]
    Wu Y, Zhou X, Gao Y, et al. Effect of soil variability on bearing capacity accounting for non-stationary characteristics of undrained shear strength[J]. Computers and Geotechnics, 2019, 110: 199-210. doi: 10.1016/j.compgeo.2019.02.003
    [14]
    Phoon K K, Retief J V, Ching J, et al. Some observations on ISO2394: 2015 Annex D(reliability of geotechnical structures)[J]. Structural Safety, 2016, 62: 24-33. doi: 10.1016/j.strusafe.2016.05.003
    [15]
    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: 106-122. doi: 10.1016/j.enggeo.2015.12.017
    [16]
    邓志平, 牛景太, 潘敏, 等. 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[J]. 岩土工程学报, 2019, 41(6): 1083-1090. https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201906014.htm

    Deng Z P, Niu J T, Pan M, et al. Full probabilistic design method of slopes considering geological uncertainty and spatial variability of soil parameters[J]. Chinese Journal of Geotechnical Engineering, 2019, 41(6): 1083-1090(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201906014.htm
    [17]
    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. doi: 10.1139/t02-090
    [18]
    宋友桂, 兰敏文, 刘慧芳, 等. 关中盆地新生界地层划分对比与第四纪下限[J]. 地质科技通报, 2021, 40(2): 24-35. doi: 10.19509/j.cnki.dzkq.2021.0204

    Song Y G, Lan M W, Liu H F, et al. Cenozoic stratigraphic correlation and the lower limit of Quaternary in Guanzhong Basin[J]. Bulletin of Geological Science and Technology, 2021, 40(2): 24-35(in Chinese with English abstract). doi: 10.19509/j.cnki.dzkq.2021.0204
    [19]
    Liao T, Mayne P W. Stratigraphic delineation by three-dimensional clustering of piezocone data[J]. Georisk, 2007, 1(2): 102-119.
    [20]
    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. doi: 10.1061/(ASCE)GT.1943-5606.0000765
    [21]
    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. doi: 10.1139/cgj-2015-0027
    [22]
    Zhao T, Wang Y. Interpolation and stratification of multilayer soil property profile from sparse measurements using machine learning methods[J]. Engineering Geology, 2020, 265: 105430. doi: 10.1016/j.enggeo.2019.105430
    [23]
    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, 2016, 142(4): 04015096. doi: 10.1061/(ASCE)GT.1943-5606.0001428
    [24]
    邓志平, 牛景太, 潘敏, 等. 基于不同材料分类模型的地层变异性模拟比较研究[J]. 自然灾害学报, 2018, 27(4): 128-136. https://www.cnki.com.cn/Article/CJFDTOTAL-ZRZH201804017.htm

    Deng Z P, Niu J T, Pan M, et al. Comparative study on geological uncertainty simulation based on different material classification models[J]. Journal of Natural Disasters, 2018, 27(4): 128-136(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-ZRZH201804017.htm
    [25]
    Gong W, Zhao C, Juang C H, et al. Stratigraphic uncertainty modelling with random field approach[J]. Computers and Geotechnics, 2020, 125: 103681. doi: 10.1016/j.compgeo.2020.103681
    [26]
    Zhao C, Gong W, Li T, et al. Probabilistic characterization of subsurface stratigraphic configuration with modified random field approach[J]. Engineering Geology, 2021, 288: 106138. doi: 10.1016/j.enggeo.2021.106138
    [27]
    Elfeki A, Dekking M. A Markov Chain Model for subsurface characterization: Theory and applications[J]. Mathematical Geology, 2001, 33(5): 569-589. doi: 10.1023/A:1011044812133
    [28]
    Park E. A multidimensional, generalized coupled Markov chain model for surface and subsurface characterization[J]. Water Resources Research, 2010, 46(11): 6291-6297.
    [29]
    Deng Z P, Jiang S H, Niu J T, et al. Stratigraphic uncertainty characterization using generalized coupled Markov chain[J]. Bulletin of Engineering Geology and the Environment, 2020, 79(10): 5061-5078. doi: 10.1007/s10064-020-01883-y
    [30]
    邓志平, 李典庆, 祁小辉, 等. 基于广义耦合马尔可夫链的地层变异性模拟方法[J]. 岩土工程学报, 2018, 40(11): 2041-2050. https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201811012.htm

    Deng Z P, Li D Q, Qi X H, et al. Simulation of geological uncertainty using modified generalized coupled Markov chain[J]. Chinese Journal of Geotechnical Engineering, 2018, 40(11): 2041-2050(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201811012.htm
    [31]
    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. doi: 10.1016/j.enggeo.2016.04.017
    [32]
    Li W, Zhang C, Burt J E, et al. Two-dimensional Markov chain simulation of soil type spatial distribution[J]. Soil Science Society of America Journal, 2004, 68(5): 1479-1490. doi: 10.2136/sssaj2004.1479
    [33]
    Li J, Cai Y, Li X, et al. Simulating realistic geological stratigraphy using direction-dependent coupled Markov chain model[J]. Computers and Geotechnics, 2019, 115: 103147. doi: 10.1016/j.compgeo.2019.103147
    [34]
    Wang Y, Cao Z, Li D. Bayesian perspective on geotechnical variability and site characterization[J]. Engineering Geology, 2016, 203: 117-125. doi: 10.1016/j.enggeo.2015.08.017
    [35]
    吴振君, 王水林, 葛修润. 约束随机场下的边坡可靠度随机有限元分析方法[J]. 岩土力学, 2009, 30(10): 3086-3092. https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX200910040.htm

    Wu Z J, Wang S L, Ge X R. Slope reliability analysis by random FEM under constraint random field[J]. Rock and Soil Mechanics, 2009, 30(10): 3086-3092(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX200910040.htm
    [36]
    Forrester A, Sobester A, Keane A. Engineering design via surrogate modelling: A practical guide[M]. [S. l. ]: John Wiley & Sons, 2008.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article Views(620) PDF Downloads(94) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return