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Bio-inspired Predictive Models Development for Strength Characterization of Cement Deep-Mixed Plastic Soils

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Abstract

This paper utilizes various artificial intelligence models to predict the experimental results of the deep-mixing technology for ground improvement and stabilization. A total of 192 unconfined compression strength laboratory experiments were conducted on specimens taken from Khuzestan, Iran, to compare the strength of the soil before and after the treatment with cement. In this research, 144 sets of experimental data, constituting 75% of the total, were used for training, while 48 sets, equivalent to 25% of the experimental data, were utilized for both testing. Different artificial intelligence methods including artificial neural networks, hybrid artificial bee colony-artificial neural networks, combinational group modeling of data handling, and gene expression programming were used. To evaluate the performance of each method, mean squared error, root mean squared error, mean absolute percentage error, mean absolute error, linear correlation coefficient, and coefficient of determination was calculated for each method. Based on the performance analysis, the hybrid artificial bee colony-artificial neural network algorithm outperformed other methods with an R2 calculated as 0.9969 and 0.9952, respectively in training and testing. The R2 values during training for ANN, GMDH, and GEP are 0.993, 0.983, and 0.96, respectively. Likewise, during testing, the R2 values for ANN, GMDH, and GEP are 0.992, 0.978, and 0.953, respectively. The results demonstrated significant agreement between artificial intelligence predictive models and experimental data. Furthermore, this paper provides robust and cost-effective models with a “closed-form solution” for predicting the strength of stabilized soils by the deep mixing technique. The closed-form equation presented in this study, which is derived from the group method of data handling combinatorial algorithm and gene expression programming models, is more intuitive for engineers to apply.

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Data Availability

The datasets generated during and/or analyzed during the current study are not publicly available due to its huge amount of data but are available from the corresponding author on reasonable request.

References

  1. Porbaha A (1998) State of the art in deep mixing technology: part I. Basic concepts and overview. Proc Inst Civ Eng Gr Improve 2(2):81–92

    Google Scholar 

  2. Terashi M, Miki H (1999) Importance of prediction in ground improvement. In: Predict performance of ground improvement, pp 1–10

  3. Topolnicki M (2016) General overview and advances in deep soil mixing. In: XXIV geotechnical conference of Torino design, construction and controls of soil improvement systems

  4. Spagnoli G et al (2022) Chemical clay soils treatment during deep soil mixing. In: International conference of the international association for computer methods and advances in geomechanics. Springer

  5. Kitazume M, Terashi M (2013) The deep mixing method. CRC Press, Boca Raton

    Book  Google Scholar 

  6. Terashi M (2003) The state of practice in deep mixing methods. In: Grouting and ground treatment, pp 25–49

  7. Hosseini SAA, Mojtahedi SFF, Sadeghi H (2020) Optimisation of deep mixing technique by artificial neural network based on laboratory and field experiments. Georisk Assess Manag Risk Eng Syst Geohazards 14(2):142–157

    Article  Google Scholar 

  8. F. Mojtahedi SF, Ahmadihosseini A, Sadeghi H (2023) An artificial intelligence based data-driven method for forecasting unconfined compressive strength of cement stabilized soil by deep mixing technique. Geotech Geol Eng 41(1):491–514

    Article  Google Scholar 

  9. Shahin MA, Jaksa MB, Maier HR (2009) Recent advances and future challenges for artificial neural systems in geotechnical engineering applications. Adv Artif Neural Syst 2009:308239

    Google Scholar 

  10. Shahin MA, Maier HR, Jaksa MB (2002) Predicting settlement of shallow foundations using neural networks. J Geotech Geoenviron Eng 128(9):785–793

    Article  Google Scholar 

  11. Najafzadeh M, Barani G-A, Kermani MRH (2013) GMDH based back propagation algorithm to predict abutment scour in cohesive soils. Ocean Eng 59:100–106

    Article  Google Scholar 

  12. Kang F, Li J, Ma Z (2013) An artificial bee colony algorithm for locating the critical slip surface in slope stability analysis. Eng Optim 45(2):207–223

    Article  MathSciNet  Google Scholar 

  13. Najafzadeh M, Azamathulla HM (2015) Neuro-fuzzy GMDH to predict the scour pile groups due to waves. J Comput Civ Eng 29(5):04014068

    Article  Google Scholar 

  14. Wu XZ (2015) Modelling dependence structures of soil shear strength data with bivariate copulas and applications to geotechnical reliability analysis. Soils Found 55(5):1243–1258

    Article  Google Scholar 

  15. Yousefpour N et al (2021) Stiffness and strength of stabilized organic soils—part ii/ii: parametric analysis and modeling with machine learning. Geosciences 11(5):218

    Article  ADS  Google Scholar 

  16. Onyelowe KC et al (2023) Selected AI optimization techniques and applications in geotechnical engineering. Cogent Eng 10(1):2153419

    Article  Google Scholar 

  17. Yousefpour N, Fazel Mojtahedi F (2023) Early detection of internal erosion in earth dams: combining seismic monitoring and convolutional AutoEncoders. Georisk Assess Manage Risk Eng Syst Geohazards 1–21

  18. Mojtahedi FF et al (2023) Spatiotemporal deep learning approach for estimating water content profiles in soil layers. In: E3S web of conferences. EDP Sciences

  19. Sulewska MJ (2017) Applying artificial neural networks for analysis of geotechnical problems. Comput Assist Methods Eng Sci 18(4):231–241

    Google Scholar 

  20. Meyerhof GG (1976) Bearing capacity and settlement of pile foundations. J Geotech Eng Div 102(3):197–228

    Article  Google Scholar 

  21. Schmertmann JH (1986) Dilatometer to compute foundation settlement. In: Use of insitu tests in geotechnical engineering, Geotechnical Special Publication, no 6, pp 303–321

  22. Schultze E, Sherif G (1973) Prediction of settlements from evaluated settlement observations for sand. In: Proceedings eighth international conference on soil mechanics and foundation engineering

  23. Momeni E et al (2015) Prediction of uniaxial compressive strength of rock samples using hybrid particle swarm optimization-based artificial neural networks. Measurement 60:50–63

    Article  ADS  Google Scholar 

  24. Alavi AH et al (2010) Multi expression programming: a new approach to formulation of soil classification. Eng Comput 26(2):111–118

    Article  ADS  Google Scholar 

  25. Das SK et al (2010) Prediction of swelling pressure of soil using artificial intelligence techniques. Environ Earth Sci 61(2):393–403

    Article  ADS  Google Scholar 

  26. Wang O, Al-Tabbaa A (2013) Preliminary model development for predicting strength and stiffness of cement-stabilized soils using artificial neural networks. In: Computing in civil engineering (2013), pp 299–306

  27. Sabat AK (2015) Prediction of California bearing ratio of a stabilized expansive soil using artificial neural network and support vector machine. Electron J Geotech Eng 20(3):981–991

    Google Scholar 

  28. Salvatore E et al (2022) Conditioning clayey soils with a dispersant agent for Deep Soil Mixing application: laboratory experiments and artificial neural network interpretation. Acta Geotech 17(11):5073–5087

    Article  Google Scholar 

  29. Ali Ghorbani M et al (2018) Forecasting pan evaporation with an integrated artificial neural network quantum-behaved particle swarm optimization model: a case study in Talesh, Northern Iran. Eng Appl Comput Fluid Mech 12(1):724–737

    Google Scholar 

  30. Nguyen XC et al (2022) Develo** a new approach for design support of subsurface constructed wetland using machine learning algorithms. J Environ Manag 301:113868

    Article  CAS  Google Scholar 

  31. Chen J, Chen Y, Cohn AG, Huang H, Man J, Wei L (2022) A novel image-based approach for interactive characterization of rock fracture spacing in a tunnel face. J Rock Mech Geotech Eng 14(4):1077–1088

    Article  CAS  Google Scholar 

  32. Armaghani DJ et al (2020) Hybrid ANN-based techniques in predicting cohesion of sandy-soil combined with fiber. Geomech Eng 20(3):191–205

    Google Scholar 

  33. Simpson P (1990) Artificial neural system-foundation, paradigm, application and implementation. Pergamon Press, New York

    Google Scholar 

  34. Hornik K, Stinchcombe M, White H (1989) Multilayer feedforward networks are universal approximators. Neural Netw 2(5):359–366

    Article  Google Scholar 

  35. Karaboga D (2010) Artificial bee colony algorithm. Scholarpedia 5(3):6915

    Article  ADS  Google Scholar 

  36. Karaboga D, Basturk B (2007) A powerful and efficient algorithm for numerical function optimization: artificial bee colony (ABC) algorithm. J Glob Optim 39(3):459–471

    Article  MathSciNet  Google Scholar 

  37. Ivakhnenko A, Ivakhnenko G, Andrienko N (1998) Inductive computer advisor for current forecasting of Ukraine’s macroeconomy. Syst Anal Model Simul 31:143–152

    Google Scholar 

  38. Ivakhnenko A (1970) Heuristic self-organization in problems of engineering cybernetics. Automatica 6(2):207–219

    Article  MathSciNet  Google Scholar 

  39. Ivakhnenko A, Ivakhnenko G, Muller J (1994) Self-organization of neural networks with active neurons. Pattern Recognit Image Anal 4(2):185–196

    Google Scholar 

  40. Ferreira C (2001) Gene expression programming: a new adaptive algorithm for solving problems. ar**v preprint cs/0102027

  41. Ramesh A, Hajihassani M, Rashiddel A (2020) Ground movements prediction in shield-driven tunnels using gene expression programming. Open Constr Build Technol J 14(1)

  42. ASTM D (2006) Standard test method for unconfined compressive strength of cohesive soil. ASTM standard D, vol 2166

  43. Zhang F et al (2016) Weakly supervised learning based on coupled convolutional neural networks for aircraft detection. IEEE Trans Geosci Remote Sens 54(9):5553–5563

    Article  ADS  Google Scholar 

  44. Nguyen HB et al (2017) Particle swarm optimisation with genetic operators for feature selection. In: 2017 IEEE congress on evolutionary computation (CEC). IEEE

  45. Haghiabi AH (2017) Prediction of river pipeline scour depth using multivariate adaptive regression splines. J Pipeline Syst Eng Pract 8(1):04016015

    Article  Google Scholar 

  46. Bui TD, Ravi S, Ramavajjala V (2018) Neural graph learning: training neural networks using graphs. In: Proceedings of the eleventh ACM international conference on web search and data mining

  47. Hu X, Solanki P (2021) Predicting resilient modulus of cementitiously stabilized subgrade soils using neural network, support vector machine, and Gaussian process regression. Int J Geomech 21(6):04021073

    Article  Google Scholar 

  48. Pham BT et al (2019) A novel artificial intelligence approach based on multi-layer perceptron neural network and biogeography-based optimization for predicting coefficient of consolidation of soil. CATENA 173:302–311

    Article  Google Scholar 

  49. Ferreira C (2006) Gene expression programming: mathematical modeling by an artificial intelligence, vol 21. Springer, Berlin

    Google Scholar 

  50. Milne L (1995) Feature selection using neural networks with contribution measures. In: Eighth Australian joint conference on artificial intelligence, AI’95

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The authors declare that no funds, grants, or other support were received during the preparation of this manuscript.

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All authors contributed to the study conception and design. Data collection and analysis were performed by FFM, AA, DRE, MR and GS. The first draft of the manuscript was written by FFM and all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.

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Correspondence to Giovanni Spagnoli.

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Mojtahedi, F.F., Ahmadihosseini, A., Eidgahee, D.R. et al. Bio-inspired Predictive Models Development for Strength Characterization of Cement Deep-Mixed Plastic Soils. Int. J. of Geosynth. and Ground Eng. 10, 9 (2024). https://doi.org/10.1007/s40891-023-00508-0

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