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Bo Xu, Shi-da Wang. 2023: Sensitivity analysis of factors affecting gravity dam anti-sliding stability along a foundation surface using Sobol method. Water Science and Engineering, 16(4): 399-407. doi: 10.1016/j.wse.2023.10.001
Citation: Bo Xu, Shi-da Wang. 2023: Sensitivity analysis of factors affecting gravity dam anti-sliding stability along a foundation surface using Sobol method. Water Science and Engineering, 16(4): 399-407. doi: 10.1016/j.wse.2023.10.001
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Sensitivity analysis of factors affecting gravity dam anti-sliding stability along a foundation surface using Sobol method

doi: 10.1016/j.wse.2023.10.001

  • College of Hydraulic Science and Engineering, Yangzhou University, Yangzhou 225009, China

Funds:

This work was supported by the National Natural Science Foundation of China (Grant No. 52079120).

  • Received Date: 2021-12-29
  • Accepted Date: 2023-08-28
    • Available Online: 2023-12-14
    Abstract
  • The anti-sliding stability of a gravity dam along its foundation surface is a key problem in the design of gravity dams. In this study, a sensitivity analysis framework was proposed for investigating the factors affecting gravity dam anti-sliding stability along the foundation surface. According to the design specifications, the loads and factors affecting the stability of a gravity dam were comprehensively selected. Afterwards, the sensitivity of the factors was preliminarily analyzed using the Sobol method with Latin hypercube sampling. Then, the results of the sensitivity analysis were verified with those obtained using the Garson method. Finally, the effects of different sampling methods, probability distribution types of factor samples, and ranges of factor values on the analysis results were evaluated. A case study of a typical gravity dam in Yunnan Province of China showed that the dominant factors affecting the gravity dam anti-sliding stability were the anti-shear cohesion, upstream and downstream water levels, anti-shear friction coefficient, uplift pressure reduction coefficient, concrete density, and silt height. Choice of sampling methods showed no significant effect, but the probability distribution type and the range of factor values greatly affected the analysis results. Therefore, these two elements should be sufficiently considered to improve the reliability of the dam anti-sliding stability analysis.

     

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    • References(39)
  • [1]
    Bernier, C., Padgett, J.E., Proulx, J., Paultre, P., 2016. Seismic fragility of concrete gravity dams with spatial variation of angle of friction: Case study. Journal of Structural Engineering 142(5), 05015002. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001441.
    [2]
    Beven, K., Binley, A., 1992. The future of distributed models: Model calibration and uncertainty prediction. Hydrological Processes 6(3), 279-298. https://doi.org/10.1002/hyp.3360060305.
    [3]
    Bidah, S., Zakary, O., Rachik, M., 2020. Stability and global sensitivity analysis for an agree-disagree model: Partial rank correlation coefficient and Latin hypercube sampling methods. International Journal of Differential Equations 2020, 5051248. https://doi.org/10.1155/2020/5051248.
    [4]
    Chen, B., Huang, Z., Bao, T., Zhu, Z., 2021. Deformation early-warning index for heightened gravity dam during impoundment period. Water Science and Engineering 14(1), 54-64. https://doi.org/10.1016/j.wse.2021.03.001.
    [5]
    Chen, L.H., Chen, Z.Y., Liu, J.M., 2005. Probability distribution of soil strength. Rock and Soil Mechanics 26 (1), 37-40. https://doi.org/10.3969/j.issn.1000-7598.2005.01.008.
    [6]
    Chen, Y., Zhang, L., Yang, G.X., Dong, J.H., Chen, J.Y., 2012. Anti-sliding stability of a gravity dam on complicated foundation with multiple structural planes. International Journal of Rock Mechanics and Mining Sciences 55, 151-156. https://doi.org/10.1016/j.ijrmms.2012.07.010.
    [7]
    Cordier, M., Leger, P., 2018. Structural stability of gravity dams: A progressive assessment considering uncertainties in shear strength parameters. Georisk: Assessment and Management of Risk for Engineered Systems and Geohazards 12(2), 109-122. https://doi.org/10.1080/17499518.2017.1395464.
    [8]
    Cukier, R.I., Schaibly, J.H., Shuler, K.E., 1975. Study of the sensitivity of coupled reaction systems to uncertainties in rate coefficients. III. Analysis of the approximations. The Journal of Chemical Physics 63(3), 1140-1149. https://doi.org/10.1063/1.431440.
    [9]
    Feng, Z.K., Niu, W.J., Jiang, Z.Q., Qin, H., Song, Z.G., 2020. Monthly operation optimization of cascade hydropower reservoirs with dynamic programming and Latin hypercube sampling for dimensionality reduction. Water Resources Management 34(6), 2029-2041. https://doi.org/10.1007/s11269-020-02545-0.
    [10]
    Fu, Z.H., Zhang, X., Tao, J., 2020. Gibbs sampling using the data augmentation scheme for higher-order item response models. Physica A: Statistical Mechanics and its Applications 541, 123696. https://doi.org/10.1016/j.physa.2019.123696.
    [11]
    Ganji, H.T., Alembagheri, M., 2018. Stability of monolithic gravity dam located on heterogeneous rock foundation. Arabian Journal for Science and Engineering 43(4), 1777-1793. https://doi.org/10.1007/s13369-017-2755-0.
    [12]
    Gao, D.Q., 1998. On structures of supervised linear basis function feedforward three-layered neural networks. Chinese Journal of Computers 21(1), 80-86 (in Chinese). https://doi.org/10.3321/j.issn:0254-4164.1998.01.011.
    [13]
    Garson, D.G., 1991. Interpreting neural network connection weights. AI Expert 6(4), 46-51. https://doi.org/10.5555/129449.129452.
    [14]
    Hecht-Nielsen, R., 1989. Theory of the backpropagation neural network. In: Proceedings of the International 1989 Joint Conference on Neural Networks (Volume 1). IEEE, Washington, D.C., pp. 593-605. https://doi.org/10.1109/IJCNN.1989.118638.
    [15]
    Jiang, S.H., 2010. Reliability analysis of deep anti-sliding stability of gravity dams. Ph.D. Dissertation. Wuhan University, Wuhan (in Chinese).
    [16]
    Khaneghahi, M.H., Alembagheri, M., Soltani, N., 2019. Reliability and variance-based sensitivity analysis of arch dams during construction and reservoir impoundment. Frontiers of Structural and Civil Engineering 13(3), 526-541. https://doi.org/10.1007/s11709-018-0495-1.
    [17]
    Khiavi, M.P., 2017. Investigation of seismic performance of concrete gravity dams using probabilistic analysis. Gradevinar 69(1), 21-29. https://doi.org/10.14256/JCE.1454.2015.
    [18]
    Lee, J., Lee, Y.J., Sim, S.H., Cho, S.J., 2019. A new probabilistic framework for structural system fragility and sensitivity analysis of concrete gravity dams. KSCE Journal of Civil Engineering 23(8), 3592-3605. https://doi.org/10.1007/s12205-019-2282-5.
    [19]
    Li, M.R., Chen, Y., Zhang, L., Yang, B.Q., 2014. Impacts of multi-structural planes on gravity dam foundation stability and treatment under complex geological conditions. Rock and Soil Mechanics 35(S1), 328-333 (in Chinese). https://doi.org/10.16285/j.rsm.2014.s1.049.
    [20]
    Liang, H., Guo, S.S., Tian, Y.F., Tu, J., Li, D.Y., Yan, C.L., 2020. Probabilistic seismic analysis of the deep sliding stability of a concrete gravity dam foundation system. Advances in Civil Engineering 2020, 8850398. https://doi.org/10.1155/2020/8850398.
    [21]
    Lima, M.J., Rokouei, M., Dashab, G.R., Seyedalian, A.R., Faraji-Arough, H., 2019. Genetic and non-genetic analysis of lamb survival in Sangsari sheep by Gibbs sampling method. Small Ruminant Research 177, 56-60. https://doi.org/10.1016/j.smallrumres.2019.06.013.
    [22]
    McKay, M.D., Beckman, R.J., Conover, W.J., 1979. A comparison of three methods for selecting values of input variables in the analysis of output from a computer code. Technometrics 21(1), 239-245. https://doi.org/10.1080/00401706.1979.10489755.
    [23]
    Ministry of Housing and Urban-Rural Development of the People’s Republic of China (MOHURD), 2012. Load Code for the Design of Building Structures (GB50009-2012). China Construction Industry Press, Beijing (in Chinese).
    [24]
    Ministry of Water Resources of the People’s Republic of China (MOWR), 2018. Design Specification for Concrete Gravity Dams (SL319-2018). China Water Conservancy and Hydropower Press, Beijing (in Chinese).
    [25]
    Morris, M.D., 1991. Factorial sampling plans for preliminary computational experiments. Technometrics 33(2), 161-174. https://doi.org/10.1080/00401706.1991.10484804.
    [26]
    Pouraminian, M., Pourbakhshian, S., Farsangi, E., 2020. Reliability assessment and sensitivity analysis of concrete gravity dams by considering uncertainty in reservoir water levels and dam body materials. Civil and Environmental Engineering Reports 30(1), 1-17. https://doi.org/10.2478/ceer-2020-0001.
    [27]
    Ren, X.H., Shu, J.Q., Ben, N.H., 2008. Stability analysis of concrete gravity dam on complicated foundation with multiple slide planes. Water Science and Engineering 1(3), 65-72. https://doi.org/10.3882/j.issn.1674-2370.2008.03.007.
    [28]
    Saltelli, A., Tarantola, S., Chan, K.S., 1999. A quantitative model-independent method for global sensitivity analysis of model output. Technometrics 41(1), 39-56. https://doi.org/10.1080/00401706.1999.10485594.
    [29]
    Saltelli, A., Tarantola, S., Campolongo, F., Ratto, M., 2004. Sensitivity Analysis in Practice: A Guide to Assessing Scientific Models. Wiley, New York.
    [30]
    Segura, R.L., Miquel, B., Paultre, P., Padgett, J.E., 2021. Accounting for uncertainties in the safety assessment of concrete gravity dams: A probabilistic approach with sample optimization. Water 13(6), 855. https://doi.org/10.3390/w13060855.
    [31]
    Shao, L.T., Liu, S.Y., Li, H.J., 2011. Analysis of stability against sliding for gravity retaining wall structure based on finite element slip surface stress method. Journal of Hydraulic Engineering 42 (5), 602-608. https://doi.org/10.13243/j.cnki.slxb.2011.05.015.
    [32]
    Shi, Z.W., Gu, C.S., Zheng, X.Q., Qin, D., 2016. Multiple failure modes analysis of the dam system by means of line sampling simulation. Optik 127(11), 4710-4715. https://doi.org/10.1016/j.ijleo.2016.01.101.
    [33]
    Sobol, I.M., 1993. Sensitivity estimates for nonlinear mathematical models. Math. Model. Comput. Exp. 1(4), 407-414.
    [34]
    Wang, D., Chen, J.K., 2001. Reliability research on sensitivity of concrete gravity dam to random variables. Journal of Sichuan University 33(4), 1-5 (in Chinese). https://doi.org/10.3969/j.issn.1009-3087.2001.04.001.
    [35]
    Wang, S.W., Gu, C.S., Bao, T.F., 2013. Safety monitoring index of high concrete gravity dam based on failure mechanism of instability. Mathematical Problems in Engineering 2013, 732325. https://doi.org/10.1155/2013/732325.
    [36]
    Wang, Y.F., Zhang, Q., 2009. Analysis of anti-sliding stability in deep foundation of Xiangjiaba gravity dam based on interface element method. Rock and Soil Mechanics 30(9), 2691-2696. https://doi.org/10.3969/j.issn.1000-7598.2009.09.025.
    [37]
    Wu, W.L., Lu, L.J., Huang, X.F., Li, H.F., Wei, Z.Q., 2021. Application of sensitivity analysis and uncertainty analysis in water environment model. Sichuan Environment 40(5), 206-212 (in Chinese). https://doi.org/10.14034/j.cnki.schj.2021.05.031.
    [38]
    Xiong, T.H., Chang, X.L., 2009. Sensitivity analysis of reliability index of failure modes to random variables. Engineering Journal of Wuhan University 42(2), 219-222 (in Chinese).
    [39]
    Zhou, W., Chang, X.L., Xu, J.Q., 2007. Analysis of anti-sliding stability in deep foundation of gravity dam based on partial coefficient. Rock and Soil Mechanics 28(2), 315-320 (in Chinese). https://doi.org/10.3969/j.issn.1000-7598.2007.02.021.
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