Abstract
The shear strength of the soil (SSS) is a significant attribute that is employed most frequently throughout the design phase of construction projects. The conventional approach of determining shear strength (SS) in the laboratory is one that is both costlier and more time-consuming. The ability to precisely predict the SSS without the need for laborious and expensive testing in a laboratory is just one of the real-world needs of geotechnical professionals. In this paper, an attempt has been made to develop a common methodology for predicting the SSS using optimized models. For this purpose, three additional optimized algorithms (GA, MPA, and PSO) were utilized to improve the bias and weight of the ANN's learning parameters, and three optimized ANNs (ANN-GA, ANN-MPA, and ANN-PSO) were developed. Validation of all the developed optimized models was executed using RMSE, R2, RSR, WI, and NSE indices. After validation of optimized models, it was found that out of three, ANN-GA produces good modelling outcomes in training as well as in the testing phase, outperforming other models. It has been shown that the GA develops the most trustworthy ANN, and this was also validated by the rank analysis of developed models. When trying to predict SSS, it has been shown that the liquidity index (LI) is the key factor to take into consideration. This was determined by plotting the feature significance plot along with the feature selection plot. Following the LI, the water content (wc) is the second most important input variable that has an effect on the value of the parameter of interest being investigated in the present investigation. In a broad sense, it was found that the factors associated with water were the primary characteristics that impacted the prediction of SSS.
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The datasets created and/or analysed during the present investigation can be found in the [Cao et al. (2020)] repository [https://doi.org/10.1007/s00366-020-01116-6].
References
Abbasi, A., Firouzi, B., & Sendur, P. (2021). On the application of Harris hawks optimization (HHO) algorithm to the design of microchannel heat sinks. Engineering with Computers, 37, 1409–1428. https://doi.org/10.1007/s00366-019-00892-0
Akkurt, S., Ozdemir, S., Tayfur, G., & Akyol, B. (2003). The use of GA–ANNs in the modelling of compressive strength of cement mortar. Cement and Concrete Research, 33(7), 973–979. https://doi.org/10.1016/S0008-8846(03)00006-1
Alkabbani, H., Ahmadian, A., Zhu, Q., & Elkamel, A. (2021). Machine learning and metaheuristic methods for renewable power forecasting: A recent review. Frontiers of Chemical Science and Engineering, 3, 665415. https://doi.org/10.3389/fceng.2021.665415
Asteris, P. G., Armaghani, D. J., Hatzigeorgiou, G. D., Karayannis, C. G., & Pilakoutas, K. (2019). Predicting the shear strength of reinforced concrete beams using artificial neural networks. Computers and Concrete, 24(5), 469–488. https://doi.org/10.12989/cac.2019.24.5.469
Bardhan, A., Samui, P., Ghosh, K., Gandomi, A. H., & Bhattacharyya, S. (2021). ELM-based adaptive neuro swarm intelligence techniques for predicting the California bearing ratio of soils in soaked conditions. Applied Soft Computing, 110, 107595. https://doi.org/10.1016/j.asoc.2021.107595
Bardhan, A., Biswas, R., Kardani, N., Iqbal, M., Samui, P., Singh, M. P., & Asteris, P. G. (2022a). A novel integrated approach of augmented grey wolf optimizer and ANN for estimating axial load carrying-capacity of concrete-filled steel tube columns. Construction and Building Materials, 337, 127454. https://doi.org/10.1016/j.conbuildmat.2022.127454
Bardhan, A., Kardani, N., Alzoùbi, A. K., Roy, B., Samui, P., & Gandomi, A. H. (2022b). Novel integration of extreme learning machine and improved Harris hawks optimization with particle swarm optimization-based mutation for predicting soil consolidation parameter. Journal of Rock Mechanics and Geotechnical Engineering, 14(5), 1588–1608. https://doi.org/10.1016/j.jrmge.2021.12.018
Biswas, A., & Biswas, B. (2015). Swarm intelligence techniques and their adaptive nature with applications. In: Zhu, Q., & Azar, A. (Eds.), Complex system modelling and control through intelligent soft computations. Studies in fuzziness and soft computing, Vol. 319, pp. 253–273
Bui, D. T., Hoang, N. D., & Nhu, V. H. (2019). A swarm intelligence-based machine learning approach for predicting soil shear strength for road construction: A case study at Trung Luong National Expressway Project (Vietnam). Engineering with Computers, 35, 955–965. https://doi.org/10.1007/s00366-018-0643-1
Cao, M. T., Hoang, N. D., Nhu, V. H., & Bui, D. T. (2020). An advanced meta-learner based on artificial electric field algorithm optimized stacking ensemble techniques for enhancing prediction accuracy of soil shear strength. Engineering with Computers, 38, 2185–2207. https://doi.org/10.1007/s00366-020-01116-6
Chen, W., Panahi, M., & Pourghasemi, H. R. (2017). Performance evaluation of GIS-based new ensemble data mining techniques of adaptive neuro-fuzzy inference system (ANFIS) with genetic algorithm (GA), differential evolution (DE), and particle swarm optimization (PSO) for landslide spatial modelling. CATENA, 157, 310–324. https://doi.org/10.1016/j.catena.2017.05.034
Chou, J. S., & Ngo, N. T. (2018). Engineering strength of fiber-reinforced soil estimated by swarm intelligence optimized regression system. Neural Computing and Applications, 30, 2129–2144. https://doi.org/10.1007/s00521-016-2739-0
Dang, V. H., Dieu, T. B., Tran, X. L., & Hoang, N. D. (2019). Enhancing the accuracy of rainfall-induced landslide prediction along mountain roads with a GIS-based random forest classifier. Bulletin of Engineering Geology and the Environment, 78, 2835–2849. https://doi.org/10.1007/s10064-018-1273-y
Dargan, S., Kumar, M., Ayyagari, M. R., & Kumar, G. (2019). A survey of deep learning and its applications: A new paradigm to machine learning. Archives of Computational Methods in Engineering, 27, 1071–1092. https://doi.org/10.1007/s11831-019-09344-w
Das, B. M., & Sobhan, K. (2013). Principles of geotechnical engineering. Cengage Learning.
Ebid, A. M. (2021). 35 years of (AI) in geotechnical engineering: state of the art. Geotechnical and Geological Engineering, 39, 637–690. https://doi.org/10.1007/s10706-020-01536-7
Ellahi, M., & Abbas, G. (2020). A hybrid metaheuristic approach for the solution of renewables-incorporated economic dispatch problems. IEEE Access, 8, 127608–127621. https://doi.org/10.1109/ACCESS.2020.3008570
Faramarzi, A., Heidarinejad, M., Mirjalili, S., & Gandomi, A. (2020). Marine predators algorithm: a nature-inspired metaheuristic. Expert Systems with Applications, 152, 113377. https://doi.org/10.1016/j.eswa.2020.113377
Farrokhzad, F., Choobbasti, A. J., & Barari, A. (2012). Liquefaction microzonation of Babol city using artificial neural network. Journal of King Saud University—Engineering Sciences, 24(1), 89–100. https://doi.org/10.1016/j.jksus.2010.09.003
Gao, W., Wu, H., Siddiqui, M. K., & Baig, A. Q. (2018). Study of biological networks using graph theory. Saudi Journal of Biological Sciences, 25(6), 1212–1219. https://doi.org/10.1016/j.sjbs.2017.11.022
Garven, E., & Vanapalli, S. (2006). Evaluation of empirical procedures for predicting the shear strength of unsaturated soils. In: Fourth international conference on unsaturated soils. ASCE Geotechnical Special Publication, Arizona, pp. 2570–2592. https://doi.org/10.1061/40802(189)219
Hammed, M. M., AlOmar, M. K., Khaleel, F., & Al-Ansari, N. (2021). An extra tree regression model for discharge coefficient prediction: Novel, practical applications in the hydraulic sector and future research directions. Mathematical Problems in Engineering, 2021, 7001710. https://doi.org/10.1155/2021/7001710
Huang, L., Asteris, P. G., Koopialipoor, M., Armaghani, D. J., & Tahir, M. M. (2019). Invasive weed optimization technique-based ANN to the prediction of rock tensile strength. Applied Sciences, 9(24), 5372. https://doi.org/10.3390/app9245372
Kardani, N., Bardhan, A., Gupta, S., Samui, P., Nazem, M., Zhang, Y., & Zhou, A. (2021). Predicting permeability of tight carbonates using a hybrid machine learning approach of modified equilibrium optimizer and extreme learning machine. Acta Geotechnical, 17, 1239–1255. https://doi.org/10.1007/s11440-021-01257-y
Kaveh, A. (2017a). Advances in metaheuristic algorithms for optimal design of structures (2nd ed.). Springer International Publishing. https://doi.org/10.1007/978-3-319-46173-1
Kaveh, A. (2017b). Applications of metaheuristic optimization algorithms in civil engineering. Springer. https://doi.org/10.1007/978-3-319-48012-1
Kaveh, A., & Iranmanesh, A. (1998). Comparative study of backpropagation and improved counterpropagation neural nets in structural analysis and optimization. International Journal of Space Structures, 13(4), 177–185. https://doi.org/10.1177/026635119801300401
Kaveh, A., & Khalegi, H. A. (2000). Prediction of strength for concrete specimens using artificial neural network. Asian Journal of Civil Engineering, 2(2), 1–12.
Kaveh, A., & Servati, H. (2001). Design of double layer grids using backpropagation neural networks. Computers and Structures, 79(17), 1561–1568. https://doi.org/10.1016/S0045-7949(01)00034-7
Kaveh, A., Gholipour, Y., & Rahami, H. (2008). Optimal design of transmission towers using genetic algorithm and neural networks. International Journal of Space Structures, 23(1), 1–19. https://doi.org/10.1260/026635108785342073
Kayadelen, C., Günaydın, O., Fener, M., Demir, A., & Özvan, A. (2009). Modeling of the angle of shearing resistance of soils using soft computing systems. Expert Systems with Applications, 36(9), 11814–11826. https://doi.org/10.1016/j.eswa.2009.04.008
Kennedy, & Eberhart. (1995). Particle swarm optimization. In Proceedings of ICNN'95—international conference on neural networks, Perth, WA, Australia, Vol. 4, pp. 1942–1948. https://doi.org/10.1109/ICNN.1995.488968.
Khan, N., Kamaruddin, M. A., Sheikh, U., Zawawi, M. H., Yusup, Y., Bakht, M. P., & Noor, M. (2022). Prediction of oil palm yield using machine learning in the perspective of fluctuating weather and soil moisture conditions: Evaluation of a generic workflow. Plants, 11(13), 1697. https://doi.org/10.3390/plants11131697
Kiran, S., Lal, B., & Tripathy, S. (2016). Shear strength prediction of soil based on probabilistic neural network. Indian Journal of Science and Technology, 9(41), 1–6. https://doi.org/10.17485/ijst/2016/v9i41/99188
Kuntoji, G., Rao, M., & Rao, S. (2018). Prediction of wave transmission over submerged reef of tandem breakwater using PSO-SVM and PSO-ANN techniques. ISH Journal of Hydraulic Engineering, 26(3), 283–290. https://doi.org/10.1080/09715010.2018.1482796
Ly, H-B., & Pham, B.T. (2020). Prediction of shear strength of soil using direct shear test and support vector machine model. The Open Construction & Building Technology Journal, 14(2), 268–277. https://doi.org/10.2174/1874836802014010268
Ly, H.-B., Nguyen, T.-A., & Pham, B. T. (2021). Estimation of soil cohesion using machine learning method: A random forest approach. Advances in Civil Engineering. https://doi.org/10.1155/2021/8873993
Malik, A., Tikhamarine, Y., Souag-Gamane, D., Kisi, O., & Pham, Q. B. (2020). Support vector regression optimized by meta-heuristic algorithms for daily streamflow prediction. Stochastic Environmental Research and Risk Assessment, 34, 1755–1773. https://doi.org/10.1007/s00477-020-01874-1
Moayedi, H., Abdullahi, M. A. M., Nguyen, H., & Rashid, A. S. A. (2019a). Comparison of dragonfly algorithm and Harris hawks optimization evolutionary data mining techniques for the assessment of bearing capacity of footings over two-layer foundation soils. Engineering with Computers, 37, 437–447. https://doi.org/10.1007/s00366-019-00834-w
Moayedi, H., Bui, D. T., Dounis, A., Kok Foong, L., & Kalantar, B. (2019b). Novel nature-inspired hybrids of neural computing for estimating soil shear strength. Applied Sciences, 9(21), 4643. https://doi.org/10.3390/app9214643
Moayedi, H., Gör, M., Khari, M., Foong, L. K., Bahiraei, M., & Bui, D. T. (2020). Hybridizing four wise neural metaheuristic paradigms in predicting soil shear strength. Measurement, 156, 107576. https://doi.org/10.1016/j.measurement.2020.107576
Mohammadzadeh, D., Bazaz, J. B., & Alavi, A. H. (2014). An evolutionary computational approach for formulation of compression index of fine-grained soils. Engineering Applications of Artificial Intelligence, 33, 58–68. https://doi.org/10.1016/j.engappai.2014.03.012
Mollahasani, A., Alavi, A. H., Gandomi, A. H., & Rashed, A. (2011). Nonlinear neural-based modeling of soil cohesion intercept. KSCE Journal of Civil Engineering, 15(5), 831–840. https://doi.org/10.1007/s12205-011-1154-4
Murthy, S. (2008). Geotechnical engineering: Principles and practices of soil mechanics (2nd ed.). Taylor & Francis.
Mustafa, R., Samui, P., & Kumari, S. (2022). Reliability analysis of gravity retaining wall using hybrid ANFIS. Infrastructures, 7(9), 121. https://doi.org/10.3390/infrastructures7090121
Nguyen, H. Q., Ly, H.-B., Tran, V. Q., Nguyen, T.-A., Le, T.-T., & Pham, B. T. (2020). Optimization of artificial intelligence system by evolutionary algorithm for prediction of axial capacity of rectangular concrete filled steel tubes under compression. Materials, 13(5), 1205. https://doi.org/10.3390/ma13051205
Nhu, V. H., Hoang, N. D., Duong, V. B., Vu, H. D., & Bui, D. T. (2019). A hybrid computational intelligence approach for predicting soil shear strength for urban housing construction: A case study at Vinhomes Imperia project, Hai Phong city (Vietnam). Engineering with Computers, 36, 603–616. https://doi.org/10.1007/s00366-019-00718-z
Pham, B. T., Bui, D. T., Prakash, I., & Dholakia, M. B. (2017). Hybrid integration of multilayer perceptron neural networks and machine learning ensembles for landslide susceptibility assessment at Himalayan area (India) using GIS. CATENA, 149(1), 52–63. https://doi.org/10.1016/j.catena.2016.09.007
Pham, B. T., Son, L. H., Hoang, T.-A., Nguyen, D.-M., & Bui, D. T. (2018). Prediction of shear strength of soft soil using machine learning methods. CATENA, 166, 181–191. https://doi.org/10.1016/j.catena.2018.04.004
Pham, B. T., Qi, C., Ho, L. S., Nguyen-Thoi, T., Al-Ansari, N., Nguyen, M. D., Nguyen, H. D., Ly, H.-B., Le, H. V., & Prakash, I. A. (2020). Novel hybrid soft computing model using random forest and particle swarm optimization for estimation of undrained shear strength of soil. Sustainability, 12(06), 2218. https://doi.org/10.3390/su12062218
Rabbani, A., Samui, P., & Kumari, S. (2022). A novel hybrid model of augmented grey wolf optimizer and artificial neural network for predicting shear strength of soil. Modeling Earth Systems and Environment. https://doi.org/10.1007/s40808-022-01610-4
Rabbani, A., Samui, P., & Kumari, S. (2023). Implementing ensemble learning models for the prediction of shear strength of soil. Asian Journal of Civil Engineering. https://doi.org/10.1007/s42107-023-00629-x
Raja, M. N. A., & Shukla, S. K. (2021). Predicting the settlement of geosynthetic-reinforced soil foundations using evolutionary artificial intelligence technique. Geotextiles and Geomembranes, 49(5), 1280–1293. https://doi.org/10.1016/j.geotexmem.2021.04.007
Raja, M. N. A., Jaffar, S. T. A., Bardhan, A., & Shukla, S. K. (2022). Predicting and validating the load-settlement behavior of large-scale geosynthetic-reinforced soil abutments using hybrid intelligent modeling. Journal of Rock Mechanics and Geotechnical Engineering, 15(3), 773–788. https://doi.org/10.1016/j.jrmge.2022.04.012
Rokach, L. (2010). Ensemble-based classifiers. Artificial Intelligence Review, 33, 1–39. https://doi.org/10.1007/s10462-009-9124-7
Shahin, M. A., Jaksa, M. B., & Maier, H. R. (2009). Recent advances and future challenges for artificial neural systems in geotechnical engineering applications. Advances in Artificial Neural Systems, 2009, 308239. https://doi.org/10.1155/2009/308239
Skentou, A. D., Bardhan, A., Mamou, A., Lemonis, M. E., Kumar, G., Samui, P., Armaghani, D. J., & Asteris, P. G. (2023). Closed-form equation for estimating unconfined compressive strength of granite from three non-destructive tests using soft computing models. Rock Mechanics and Rock Engineering, 56, 487–514. https://doi.org/10.1007/s00603-022-03046-9
Vankadara, S. K., Chatterjee, S., Balachandran, P. K., & Mihet-Popa, L. (2022). Marine predator algorithm (MPA)-based MPPT technique for solar PV systems under partial shading conditions. Energies, 15(17), 6172. https://doi.org/10.3390/en15176172
Varma, B. V., Prasad, E. V., & Singha, S. (2023). Study on predicting compressive strength of concrete using supervised machine learning techniques. Asian Journal of Civil Engineering. https://doi.org/10.1007/s42107-023-00662-w
Wang, D., Tan, D., & Liu, L. (2018). Particle swarm optimization algorithm: An overview. Soft Computing, 22(2), 387–408. https://doi.org/10.1007/s00500-016-2474-6
Wu, Z. J., Wei, R. L., Chu, Z. F., & Liu, Q. S. (2021). Real-time rock mass condition prediction with TBM tunneling big data using a novel rockemachine mutual feedback perception method. Journal of Rock Mechanics and Geotechnical Engineering, 13(6), 1311–1325. https://doi.org/10.1016/j.jrmge.2021.07.012
**e, T., Zhang, G., Hou, J., **e, J., Lv, M., & Liu, F. (2019). Hybrid forecasting model for non-stationary daily runoff series: a case study in the Han River Basin, China. Journal of Hydrology, 577. https://doi.org/10.1016/j.jhydrol.2019.123915
**e, T., Yang, G., Zhao, X., Xu, J., & Fang, C. (2020). A unified model for predicting the compressive strength of recycled aggregate concrete containing supplementary cementitious materials. Journal of Cleaner Production. https://doi.org/10.1016/j.jclepro.2019.119752
**e, C. Y., Nguyen, H., Bui, X. N., Choi, Y., Zhou, J., & Nguyen-Trang, T. (2021). Predicting rock size distribution in mine blasting using various novel soft computing models based on meta-heuristics and machine learning algorithms. Geoscience Frontiers, 12(3), 101108. https://doi.org/10.1016/j.gsf.2020.11.005
Xu, J. J., Chen, W. G., Demartino, C., **e, T. Y., Yu, Y., Fang, C. F., & Xu, M. (2021). A Bayesian model updating approach applied to mechanical properties of recycled aggregate concrete under uniaxial or triaxial compression. Construction and Building Materials. https://doi.org/10.1016/j.conbuildmat.2021.124274
Xue, X., Makota, C., Khalaf, I., Jayabalan, J., Samui, P., & Abdulsahib, G. M. (2023). Machine learning approach for prediction of lateral confinement coefficient of CFRP-wrapped RC columns. Symmetry, 15(2), 545. https://doi.org/10.3390/sym15020545
Yang, L., & Shami, A. (2020). On hyperparameter optimization of machine learning algorithms: Theory and practice. Neurocomputing, 415, 295–316. https://doi.org/10.1016/j.neucom.2020.07.061
Zhang, C. B., Chen, L. H., Liu, Y. P., Ji, X. D., & Liu, X. P. (2010). Triaxial compression test of soil–root composites to evaluate influence of roots on soil shear strength. Ecological Engineering, 36, 19–26. https://doi.org/10.1016/j.ecoleng.2009.09.005
Zhang, W., Wu, C., Zhong, H., Li, Y., & Wang, L. (2020). Prediction of undrained shear strength using extreme gradient boosting and random forest based on Bayesian optimization. Geoscience Frontiers, 12(1), 469–477. https://doi.org/10.1016/j.gsf.2020.03.007
Zhang, W. G., Li, H. R., Han, L., Chen, L. L., & Wang, L. (2021). Slope stability prediction using ensemble learning techniques: A case study in Yunyang County, Chongqing, China. Journal of Rock Mechanics and Geotechnical Engineering, 14(4), 1089–1099. https://doi.org/10.1016/j.jrmge.2021.12.011
Zhang, W., Li, H., Han, L., Chen, L., & Wang, L. (2022). Slope stability prediction using ensemble learning techniques: A case study in Yunyang County, Chongqing, China. Journal of Rock Mechanics and Geotechnical Engineering, 14(4), 1089–1099. https://doi.org/10.1016/j.jrmge.2021.12.011
Zhou, D., Gao, X., Liu, G., Mei, C., Jiang, D., & Liu, Y. (2011). Randomization in particle swarm optimization for global search ability. Expert Systems with Applications, 38, 15356–15364. https://doi.org/10.1016/j.eswa.2011.06.029
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Rabbani, A., Samui, P. & Kumari, S. Optimized ANN-based approach for estimation of shear strength of soil. Asian J Civ Eng 24, 3627–3640 (2023). https://doi.org/10.1007/s42107-023-00739-6
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DOI: https://doi.org/10.1007/s42107-023-00739-6