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Modelling of Steady-State Seepage of an Embankment Dam Using Teaching-Learning Based Optimization Algorithm

Year 2025, Volume: 36 Issue: 2
https://doi.org/10.18400/tjce.1462869

Abstract

The goal of the this study is to investigate the applicability of the teaching-learning based optimization (TLBO) algorithm for modeling seepage in embankment dams. The input parameters selected for the models to be built are the values of permeability (ks), van Genuchten's suitability parameters α and n, whose effect on seepage has been investigated over the years due to their uncertainties. The validity of the TLBO was compared with that of conventional regression analysis (CRA) methods. Both methods were utilized with different regression forms. The parameters chosen as input are modeled as random variables with a log-normal distribution, and total discharge (Q) was obtained. Four statistical indices, that is, root mean square error, mean absolute error, average relative error and coefficient of determination, were used to evaluate the performance of the models. The equations obtained using TLBO algorithms can predict the total discharge in embankment dams better than CRA. In addition, the reliability of TLBO has been demonstrated by conducting analyses using the outputs of CRA as a benchmark.

References

  • Calamak, M., Uncertainty Based Analysis Of Seepage Through Eearthfill Dams. Ph.D. thesis, Dept. of Civ. Eng., Middle East Technical Univ., Ankara, Türkiye 2014.
  • Polater, Ö., 2021. Infiltration Analysis Of Embankment Dams Using Different Impermeable Materials., M.Sc. Thesis, Dept. of Civ. Eng.,, Bitlis Eren Univ., Bitlis, Türkiye (in Turkish with English abstract) 2021.
  • Fenton, G., Griffiths, D,. Statistics Of Free Surface Flow Through Stochastic Earth Dam. J. of Geotech. Eng., ASCE, 122(6), 410-427 1996. https://doi.org/10.1061/(ASCE)0733-9410(1996)122:6(427)
  • Ahmed, A. A., Stochastic Analysis Of Free Surface Flow Through Earth Dams. Comput. Geotech, 36(7), 1186-1190 2009. https://doi.org/10.1016/j.compgeo.2009.05.005
  • Srivastava, A., Babu, G. L. S., Haldar, S., Influence Of Spatial Variability Of Permeability Property On Steady State Seepage Flow And Slope Stability Analysis. Eng. Geology, 110(3-4), 93-101 2010. https://doi.org/10.1016/j.enggeo.2009.11.006
  • Le, T. M. H., Gallipoli, D., Sanchez, M., Wheeler, S, J., Stochastic Analysis Of Unsaturated Seepage Through Randomly Heterogeneous Earth Embankments. Int. J. for Num. and Analytical Methods in Geomech., John Wiley & Sons, Ltd, 36(8), 1056–1076 2012. https://doi.org/10.1002/nag.1047
  • Tan, X.; Wang, X., Khoshnevisan, S.,Hou, X., Zha, F., Seepage Analysis Of Earth Dams Considering Spatial Variability Of Hydraulic Parameters. Eng. Geology, 228, 260-269 2017. https://doi:10.1016/j.enggeo.2017.08.018.
  • Siacara, A.T.,Beck, A. T., Futai, M. M., Reliability Analysis Of Rapid Drawdown Of An Earth Dam Using Direct Coupling. Comput. Geotech., 118, 103336 2019. https://doi.org/10.1016/j.compgeo.2019.103336
  • Mouyeaux, A., Carvajal, C., Bressolette, P., Peyras, L.,Breul, P., Bacconnet, C., Probabilistic Analysis Of Pore Water Pressures Of An Earth Dam Using A Random Finite Element Approach Based On Field Data. Eng. Geology, 259, 105190 2019.
  • Bayram, A., Uzlu, E., Kankal, M., Dede, T., Modeling Stream Dissolved Oxygen Concentration Using Teaching–Learning Based Optimization Algorithm. Environ. Earth Sci., 73, 6565-6576 2015.
  • Nacar, S., Mete, B., Bayram, A., Estimation Of Daily Dissolved Oxygen Concentration For River Water Quality Using Conventional Regression Analysis, Multivariate Adaptive Regression Splines, And Treenet Techniques. Environ. Monitoring And Assest. vol.192, no.12 2020.
  • Tayfur, B., Kamiloğlu, H. A. Optimization Of Cantilever Retaining Wall Design Using Improved Teaching-Learning-Based Optimization Algorithms. Firat University Journal of Experimental and Computational Engineering, 3(2), 134-150, 2024.
  • Kalaivani, K., Priya, D. M., Veena, K., Brindha, K., Karuppasamy, K., Shanmugapriyaa, K. R. Consolidation Coefficient of Soil Prediction by Using Teaching Learning based Optimization with Fuzzy Neural Network. EAI Endorsed Transactions on Internet of Things, 10, 2024.
  • Günay, A., Uncertainty-Based Investigation Of Seepage In Embankment Dams With Clay Core. M.Sc. Thesis, Dept. of Civ. Eng., Gazi Univ., Ankara, Türkiye (in Turkish with English abstract) 2023.
  • PLAXIS 2D Material Reference Manuals, PLAXIS BV, Delft, The Netherlands: P, O, Box 572, 2600 AN 2022.
  • Van Genuchten, M. T., A Closed -form Equation for Predicting the Hydraulic Conductivity of Unsaturated Soils. Soil Sc. Soc. of America J., 44(5), 892–898 1980.
  • Python version 3 (Programing Language). The Python Software Foundation.
  • Bozkurt, S., Application Of Finite Element Method In Geotechnical Risk Analysis: An Application For Supported Deep Excavations. M.Sc. Thesis, Dept. of Civ. Eng., Gazi Univ., Ankara, Türkiye (in Turkish with English abstract) 2019.
  • Ucdemir G., Akbas S., Effect Of Wall Stiffness On Excavation-Induced Horizontal Deformations In Stiff-Hard Clays, Gazi Univ. J. of Sci. Part A: Eng. and Innovation, 113-130, 2023.
  • Korkut D. E., Akbaş S. O., The Effect Of Incorporating Vertical Spatial Variability On The Probabilistic Analysis Of A Deep Excavation: A Case Study, J. Politecnic, 1-1, 2023.
  • Li, W., Lu, Z., Zhang, D., Stochastic Analysis Of Unsaturated Fow With Probabilistic Collocation Method. Water Resour Res 45(8):W08425 2009. https://doi.org/10.1029/2008WR007530
  • Law, J., A Statistical Approach To The Interstitial Heterogeneity Of Sand Reservoirs. Transactions Of The AIME, Soc. of Petroleum Eng., 155(1), 202-222. 1944. https://doi.org/10.2118/944202-G
  • Bulnes, A. C., An Application Of Statistical Methods To Core Analysis Data Of Dolomitic Limestone. Transactions of the AIME, Soc. of Petroleum Eng., 165(1), 223-240 1946. https://doi.org/10.2118/946223-G
  • Warren, J. E., Price, H. S.: Flow In Heterogeneous Porous Media. SPE J., Soc. Of Petroleum Eng., 1(3), 153-169 1961. https://doi.org/10.2118/1579-G
  • Bennion, D. W., Griffiths, J. C., A Stochastic Model For Predicting Variations In Reservoir Rock Properties. SPE J., Soc. of Petroleum Eng., 6(1), 9-16 1966. https://doi.org/10.2118/1187-PA
  • Carsel, R. F., Parrish, R. S., Developing Joint Probability Distributions Of Soil Water Retention Characteristics. Water Res. Res., 24(5), 755-769 1988. https://doi.org/10.1029/WR024i005p00755
  • Günay, A., Akbaş, S. O. Kil Çekirdekli Dolgu Barajlarda Kararlı Durum Sızmasının Olasılıksal Analizi. Politeknik Dergisi1-1. (2024). https://doi.org/10.2339/politeknik.1418676
  • Casagrande, A., Notes on soil mechanics-first semester. Harvard University (unpublished), 129 p 1938.
  • Baecher, G. B., Christian, J. T., Reliability And Statistics In Geotechnical Engineering. John Wiley & Sons 2005.
  • Wang, F., Huang, H., Yin, Z., Huang, Q., Probabilistic Characteristics Analysis For The Time-Dependent Deformation Of Clay Soils Due To Spatial Variability. European J. of Environ. and Civ. Eng., 26(12), 6096-6114 2022. https://doi.org/10.1080/19648189.2021.1933604
  • Qu, Z., Guanhua, G., Yang, J., Evaluation Of Regional Pedotransfer Functions Based On The BP Neural Networks. In International Conference on Comput. and Computing Tech. in Agriculture (pp. 1189-1199). Boston, MA: Springer US 2008.
  • Rao, R.V., Savsani, V. J., Vakharia, D. P., Teaching-Learning-Based Optimization: A Novel Method For Constrained Mechanical Design Optimization Problems. Comput Aided Des 43:303–315 (2011).
  • Uzlu, E., Kankal, M., Akpınar, A.,Dede, T., Estimates Of Energy Consumption In Türkiye Using Neural Networks With The Teaching–Learning-Based Optimization Algorithm. Energy, 75, 295-303 2014.
  • Yılmaz, B., Aras, E., Nacar, S., Kankal, M., Estimating Suspended Sediment Load With Multivariate Adaptive Regression Spline, Teaching-Learning Based Optimization, And Artificial Bee Colony Models. Sci. of the Total Environ. , vol.639, 826-840 2018.
  • Zou, F., Chen, D., Xu, Q.: A Survey Of Teaching–Learning-Based Optimization. Neurocomputing, 335, 366-38 2019.
  • Ermis, S., Bayindir, R., Yesilbudak, M., Voltage Stability Study in Power Systems With İmproved Teaching-Learning Based Optimizatıon Algorithm. Gazi Univ. J. of Sci. Part C: Design and Tech., 11(3), 695-705 2023.
  • Togan, V.: Design Of Planar Steel Frames Using Teaching– Learning Based Optimization. Eng Struct 34:225–232 2012.
  • Dede, T.: Optimum Design of Grillage Structures To LRFD-AISC With Teaching-Learning Based Optimization. Struct Multidisc Optim 48:955–964 2013.
  • Uzlu, E., Physical Modelling Of The Accretion Profile Resulting From The Movement Of Solids Perpendicular To The Shore. P.Hd. Thesis, Dept. Of Civ. Eng., Karadeniz Tech. Univ., Trabzon, Türkiye (In Turkish with English Abstract) 2016.
  • Akbulut, H., Gevrek, L. A., Ay, M. Modeling of Asphalt Pavement Surface Temperature for Prevention of Icing on the Surface. Turkish Journal of Civil Engineering, 35(2), 1-21. 2024.
  • Tuc, E., Akbas, S. O., Babagiray, G. Reliability and Validity Analysis of Correlations on Strength and Consolidation Parameters for Ankara Clay and Proposal for a New Correlation. Arabian Journal for Science and Engineering, 1-20, 2024.
  • Demirgül, T., Demir, V., Sevimli, M. F. Farklı makine öğrenmesi yaklaşımları ile Türkiye'nin solar radyasyon tahmini. Geomatik, 9(1), 106-122, 2024.

Modelling of Steady-State Seepage of an Embankment Dam Using Teaching-Learning Based Optimization Algorithm

Year 2025, Volume: 36 Issue: 2
https://doi.org/10.18400/tjce.1462869

Abstract

The goal of the this study is to investigate the applicability of the teaching-learning based optimization (TLBO) algorithm for modeling seepage in embankment dams. The input parameters selected for the models to be built are the values of permeability (ks), van Genuchten's suitability parameters α and n, whose effect on seepage has been investigated over the years due to their uncertainties. The validity of the TLBO was compared with that of conventional regression analysis (CRA) methods. Both methods were utilized with different regression forms. The parameters chosen as input are modeled as random variables with a log-normal distribution, and total discharge (Q) was obtained. Four statistical indices, that is, root mean square error, mean absolute error, average relative error and coefficient of determination, were used to evaluate the performance of the models. The equations obtained using TLBO algorithms can predict the total discharge in embankment dams better than CRA. In addition, the reliability of TLBO has been demonstrated by conducting analyses using the outputs of CRA as a benchmark.

References

  • Calamak, M., Uncertainty Based Analysis Of Seepage Through Eearthfill Dams. Ph.D. thesis, Dept. of Civ. Eng., Middle East Technical Univ., Ankara, Türkiye 2014.
  • Polater, Ö., 2021. Infiltration Analysis Of Embankment Dams Using Different Impermeable Materials., M.Sc. Thesis, Dept. of Civ. Eng.,, Bitlis Eren Univ., Bitlis, Türkiye (in Turkish with English abstract) 2021.
  • Fenton, G., Griffiths, D,. Statistics Of Free Surface Flow Through Stochastic Earth Dam. J. of Geotech. Eng., ASCE, 122(6), 410-427 1996. https://doi.org/10.1061/(ASCE)0733-9410(1996)122:6(427)
  • Ahmed, A. A., Stochastic Analysis Of Free Surface Flow Through Earth Dams. Comput. Geotech, 36(7), 1186-1190 2009. https://doi.org/10.1016/j.compgeo.2009.05.005
  • Srivastava, A., Babu, G. L. S., Haldar, S., Influence Of Spatial Variability Of Permeability Property On Steady State Seepage Flow And Slope Stability Analysis. Eng. Geology, 110(3-4), 93-101 2010. https://doi.org/10.1016/j.enggeo.2009.11.006
  • Le, T. M. H., Gallipoli, D., Sanchez, M., Wheeler, S, J., Stochastic Analysis Of Unsaturated Seepage Through Randomly Heterogeneous Earth Embankments. Int. J. for Num. and Analytical Methods in Geomech., John Wiley & Sons, Ltd, 36(8), 1056–1076 2012. https://doi.org/10.1002/nag.1047
  • Tan, X.; Wang, X., Khoshnevisan, S.,Hou, X., Zha, F., Seepage Analysis Of Earth Dams Considering Spatial Variability Of Hydraulic Parameters. Eng. Geology, 228, 260-269 2017. https://doi:10.1016/j.enggeo.2017.08.018.
  • Siacara, A.T.,Beck, A. T., Futai, M. M., Reliability Analysis Of Rapid Drawdown Of An Earth Dam Using Direct Coupling. Comput. Geotech., 118, 103336 2019. https://doi.org/10.1016/j.compgeo.2019.103336
  • Mouyeaux, A., Carvajal, C., Bressolette, P., Peyras, L.,Breul, P., Bacconnet, C., Probabilistic Analysis Of Pore Water Pressures Of An Earth Dam Using A Random Finite Element Approach Based On Field Data. Eng. Geology, 259, 105190 2019.
  • Bayram, A., Uzlu, E., Kankal, M., Dede, T., Modeling Stream Dissolved Oxygen Concentration Using Teaching–Learning Based Optimization Algorithm. Environ. Earth Sci., 73, 6565-6576 2015.
  • Nacar, S., Mete, B., Bayram, A., Estimation Of Daily Dissolved Oxygen Concentration For River Water Quality Using Conventional Regression Analysis, Multivariate Adaptive Regression Splines, And Treenet Techniques. Environ. Monitoring And Assest. vol.192, no.12 2020.
  • Tayfur, B., Kamiloğlu, H. A. Optimization Of Cantilever Retaining Wall Design Using Improved Teaching-Learning-Based Optimization Algorithms. Firat University Journal of Experimental and Computational Engineering, 3(2), 134-150, 2024.
  • Kalaivani, K., Priya, D. M., Veena, K., Brindha, K., Karuppasamy, K., Shanmugapriyaa, K. R. Consolidation Coefficient of Soil Prediction by Using Teaching Learning based Optimization with Fuzzy Neural Network. EAI Endorsed Transactions on Internet of Things, 10, 2024.
  • Günay, A., Uncertainty-Based Investigation Of Seepage In Embankment Dams With Clay Core. M.Sc. Thesis, Dept. of Civ. Eng., Gazi Univ., Ankara, Türkiye (in Turkish with English abstract) 2023.
  • PLAXIS 2D Material Reference Manuals, PLAXIS BV, Delft, The Netherlands: P, O, Box 572, 2600 AN 2022.
  • Van Genuchten, M. T., A Closed -form Equation for Predicting the Hydraulic Conductivity of Unsaturated Soils. Soil Sc. Soc. of America J., 44(5), 892–898 1980.
  • Python version 3 (Programing Language). The Python Software Foundation.
  • Bozkurt, S., Application Of Finite Element Method In Geotechnical Risk Analysis: An Application For Supported Deep Excavations. M.Sc. Thesis, Dept. of Civ. Eng., Gazi Univ., Ankara, Türkiye (in Turkish with English abstract) 2019.
  • Ucdemir G., Akbas S., Effect Of Wall Stiffness On Excavation-Induced Horizontal Deformations In Stiff-Hard Clays, Gazi Univ. J. of Sci. Part A: Eng. and Innovation, 113-130, 2023.
  • Korkut D. E., Akbaş S. O., The Effect Of Incorporating Vertical Spatial Variability On The Probabilistic Analysis Of A Deep Excavation: A Case Study, J. Politecnic, 1-1, 2023.
  • Li, W., Lu, Z., Zhang, D., Stochastic Analysis Of Unsaturated Fow With Probabilistic Collocation Method. Water Resour Res 45(8):W08425 2009. https://doi.org/10.1029/2008WR007530
  • Law, J., A Statistical Approach To The Interstitial Heterogeneity Of Sand Reservoirs. Transactions Of The AIME, Soc. of Petroleum Eng., 155(1), 202-222. 1944. https://doi.org/10.2118/944202-G
  • Bulnes, A. C., An Application Of Statistical Methods To Core Analysis Data Of Dolomitic Limestone. Transactions of the AIME, Soc. of Petroleum Eng., 165(1), 223-240 1946. https://doi.org/10.2118/946223-G
  • Warren, J. E., Price, H. S.: Flow In Heterogeneous Porous Media. SPE J., Soc. Of Petroleum Eng., 1(3), 153-169 1961. https://doi.org/10.2118/1579-G
  • Bennion, D. W., Griffiths, J. C., A Stochastic Model For Predicting Variations In Reservoir Rock Properties. SPE J., Soc. of Petroleum Eng., 6(1), 9-16 1966. https://doi.org/10.2118/1187-PA
  • Carsel, R. F., Parrish, R. S., Developing Joint Probability Distributions Of Soil Water Retention Characteristics. Water Res. Res., 24(5), 755-769 1988. https://doi.org/10.1029/WR024i005p00755
  • Günay, A., Akbaş, S. O. Kil Çekirdekli Dolgu Barajlarda Kararlı Durum Sızmasının Olasılıksal Analizi. Politeknik Dergisi1-1. (2024). https://doi.org/10.2339/politeknik.1418676
  • Casagrande, A., Notes on soil mechanics-first semester. Harvard University (unpublished), 129 p 1938.
  • Baecher, G. B., Christian, J. T., Reliability And Statistics In Geotechnical Engineering. John Wiley & Sons 2005.
  • Wang, F., Huang, H., Yin, Z., Huang, Q., Probabilistic Characteristics Analysis For The Time-Dependent Deformation Of Clay Soils Due To Spatial Variability. European J. of Environ. and Civ. Eng., 26(12), 6096-6114 2022. https://doi.org/10.1080/19648189.2021.1933604
  • Qu, Z., Guanhua, G., Yang, J., Evaluation Of Regional Pedotransfer Functions Based On The BP Neural Networks. In International Conference on Comput. and Computing Tech. in Agriculture (pp. 1189-1199). Boston, MA: Springer US 2008.
  • Rao, R.V., Savsani, V. J., Vakharia, D. P., Teaching-Learning-Based Optimization: A Novel Method For Constrained Mechanical Design Optimization Problems. Comput Aided Des 43:303–315 (2011).
  • Uzlu, E., Kankal, M., Akpınar, A.,Dede, T., Estimates Of Energy Consumption In Türkiye Using Neural Networks With The Teaching–Learning-Based Optimization Algorithm. Energy, 75, 295-303 2014.
  • Yılmaz, B., Aras, E., Nacar, S., Kankal, M., Estimating Suspended Sediment Load With Multivariate Adaptive Regression Spline, Teaching-Learning Based Optimization, And Artificial Bee Colony Models. Sci. of the Total Environ. , vol.639, 826-840 2018.
  • Zou, F., Chen, D., Xu, Q.: A Survey Of Teaching–Learning-Based Optimization. Neurocomputing, 335, 366-38 2019.
  • Ermis, S., Bayindir, R., Yesilbudak, M., Voltage Stability Study in Power Systems With İmproved Teaching-Learning Based Optimizatıon Algorithm. Gazi Univ. J. of Sci. Part C: Design and Tech., 11(3), 695-705 2023.
  • Togan, V.: Design Of Planar Steel Frames Using Teaching– Learning Based Optimization. Eng Struct 34:225–232 2012.
  • Dede, T.: Optimum Design of Grillage Structures To LRFD-AISC With Teaching-Learning Based Optimization. Struct Multidisc Optim 48:955–964 2013.
  • Uzlu, E., Physical Modelling Of The Accretion Profile Resulting From The Movement Of Solids Perpendicular To The Shore. P.Hd. Thesis, Dept. Of Civ. Eng., Karadeniz Tech. Univ., Trabzon, Türkiye (In Turkish with English Abstract) 2016.
  • Akbulut, H., Gevrek, L. A., Ay, M. Modeling of Asphalt Pavement Surface Temperature for Prevention of Icing on the Surface. Turkish Journal of Civil Engineering, 35(2), 1-21. 2024.
  • Tuc, E., Akbas, S. O., Babagiray, G. Reliability and Validity Analysis of Correlations on Strength and Consolidation Parameters for Ankara Clay and Proposal for a New Correlation. Arabian Journal for Science and Engineering, 1-20, 2024.
  • Demirgül, T., Demir, V., Sevimli, M. F. Farklı makine öğrenmesi yaklaşımları ile Türkiye'nin solar radyasyon tahmini. Geomatik, 9(1), 106-122, 2024.
There are 42 citations in total.

Details

Primary Language English
Subjects Civil Geotechnical Engineering, Numerical Modelization in Civil Engineering
Journal Section Research Articles
Authors

Arife Günay 0000-0002-3116-0408

Sami Oğuzhan Akbaş 0000-0002-7872-1604

Early Pub Date October 22, 2024
Publication Date
Submission Date April 1, 2024
Acceptance Date October 16, 2024
Published in Issue Year 2025 Volume: 36 Issue: 2

Cite

APA Günay, A., & Akbaş, S. O. (2024). Modelling of Steady-State Seepage of an Embankment Dam Using Teaching-Learning Based Optimization Algorithm. Turkish Journal of Civil Engineering, 36(2). https://doi.org/10.18400/tjce.1462869
AMA Günay A, Akbaş SO. Modelling of Steady-State Seepage of an Embankment Dam Using Teaching-Learning Based Optimization Algorithm. TJCE. October 2024;36(2). doi:10.18400/tjce.1462869
Chicago Günay, Arife, and Sami Oğuzhan Akbaş. “Modelling of Steady-State Seepage of an Embankment Dam Using Teaching-Learning Based Optimization Algorithm”. Turkish Journal of Civil Engineering 36, no. 2 (October 2024). https://doi.org/10.18400/tjce.1462869.
EndNote Günay A, Akbaş SO (October 1, 2024) Modelling of Steady-State Seepage of an Embankment Dam Using Teaching-Learning Based Optimization Algorithm. Turkish Journal of Civil Engineering 36 2
IEEE A. Günay and S. O. Akbaş, “Modelling of Steady-State Seepage of an Embankment Dam Using Teaching-Learning Based Optimization Algorithm”, TJCE, vol. 36, no. 2, 2024, doi: 10.18400/tjce.1462869.
ISNAD Günay, Arife - Akbaş, Sami Oğuzhan. “Modelling of Steady-State Seepage of an Embankment Dam Using Teaching-Learning Based Optimization Algorithm”. Turkish Journal of Civil Engineering 36/2 (October 2024). https://doi.org/10.18400/tjce.1462869.
JAMA Günay A, Akbaş SO. Modelling of Steady-State Seepage of an Embankment Dam Using Teaching-Learning Based Optimization Algorithm. TJCE. 2024;36. doi:10.18400/tjce.1462869.
MLA Günay, Arife and Sami Oğuzhan Akbaş. “Modelling of Steady-State Seepage of an Embankment Dam Using Teaching-Learning Based Optimization Algorithm”. Turkish Journal of Civil Engineering, vol. 36, no. 2, 2024, doi:10.18400/tjce.1462869.
Vancouver Günay A, Akbaş SO. Modelling of Steady-State Seepage of an Embankment Dam Using Teaching-Learning Based Optimization Algorithm. TJCE. 2024;36(2).