Prediction of subgrade reaction modulus of clayey soil using group method of data handling

Document Type : Article

Authors

1 Department of Civil Engineering, Imam Khomeini International University, Qazvin, Iran

2 Department of Civil Engineering, Gonbadekavous University, Gonbadekavous, Iran

Abstract

Settlement-based designs for foundations, using subgrade reaction modulus (K_s), is an important technique in geotechnical engineering. Plate load test (PLT) is one of the commonly applied methods to directly determine K_s. As the determination of the K_s from PLT—especially at depths—is relatively costly and time-consuming, it is necessary to develop models that can handle simply determinable properties. In the present study, the suitability of the Group Method of Data Handling (GMDH)-type neural network (NN) to estimate the subgrade reaction modulus of clayey soils has been investigated. In order to derive GMDH models, a database containing 123 datasets compiled from geotechnical investigation sites in Qazvin, Iran, has been used. The performance of the GMDH models has been compared with other available correlations for clayey soils, and it has been demonstrated that an improvement in estimating the K_s has been achieved. Finally, a sensitivity analysis has been conducted on the proposed models, showing that the proposed K_s is considerably influenced by changing the LL value.

Keywords

Main Subjects

References

References:
1. Sharma, L.K., Umrao, R.K., Singh, R., Ahmad, M., and Singh, T.N. "Geotechnical characterization of road cut hill slope forming unconsolidated geo-materials: a case study", Geotech. Geol. Eng., 35(1), pp. 503-515 (2017).
2. Sharma, L.K., Umrao, R.K., Singh, R., Ahmad, M., and Singh, T.N. "Stability investigation of hill cut soil slopes along National highway 222 at Malshej Ghat, Maharashtra", J. Geol. Soc. India, 89(2), pp. 165-174 (2017).
3. Singh, T.N., Singh, R., Singh, B., Sharma, L.K., Singh, R., and Ansari, M.K. "Investigations and stability analyses of Malin village landslide of Pune district, Maharashtra, India", Nat. Hazards, 81(3), pp. 2019- 2030 (2016).
4. Winckler, E., Die Lehre von Elastizitat und Festigkeit (On elasticity and fixity), Prague, p. 182 (1867).
5. Farouk, H. and Farouk, M. "Effect of elastic soil structure interaction on modulus of subgrade reaction", In Recent Advances in Material, Analysis, Monitoring, and Evaluation in Foundation and Bridge Engineering, pp. 111-118 (2014).
6. Vesic, A.S. "Bending of beams resting on isotropic solids", Journal of the Engineering Mechanics Division, 87(2), pp. 35-53 (1961).
7. Biot, M.A. "Bending of an infinite beam on an elastic foundation", J. Appl. Mech. (Trans. ASME), 4, pp. A1-A7 (1937).
8. Iskander, G.M. and Gabr, R.H. "Soil-pipe interaction due to tunneling: comparison between Winkler and elastic continuum solutions", Internet (2009).
9. Klar, A., Vorster, T.E.B., Soga, K., and Mair, R.J., Soil-Pipe-Tunnel Interaction: Comparison Between Winkler and Elastic Continuum Solutions, Department of Engineering, University of Cambridge, UK, pp. 1-14 (2004).
10. Basudhar, P.K., Yadav, S.K., and Basudhar, A. "Treatise on Winkler modulus of subgrade reaction and its estimation for improved soil-structure interaction analysis", Geotech. Geol. Eng., 36(5), pp. 3091-3109 (2018).
11. Farouk, H. and Farouk, M. "Calculation of subgrade reaction modulus considering the footing-soil system rigidity", In Vulnerability, Uncertainty, and Risk: Quantification, Mitigation, and Management, pp. 2498-2507 (2014).
12. Terzaghi, K.V. "Evaluation of coefficient of subgrade reaction", Geotechnique, 5(4), pp. 297-326 (1955).
13. Moayed, R.Z. and Janbaz, M. "Foundation size effect on modulus of subgrade reaction in clayey soil", Electronic Journal of Geotechnical Engineering, 13, pp. 1- 8 (2018).
14. Teodoru, I.B. and Toma, I.O. "Numerical analyses of plate loading test", Buletinul Institutului Politehnic din lasi. Sectia Constructii, Arhitectura, 55(1), p. 57 (2009).
15. Elsamny, K., Elsedeek, M.B., and AbdElsamee, W.N. "Effect of depth of foundation on modulus of elasticity 'ES' for Cohessionless soil", Civil Engineering Researches Magazine of Al-Azhar University, 32(3), p. 938 (2010).
16. Marto, A., Latifi, N., Janbaz, M., Kholghifard, M., Khari, M., Alimohammadi, P., and Banadaki, A.D. "Foundation size effect on modulus of subgrade reaction on sandy soils", Electronic Journal of Geotechnical Engineering, 17, pp. 2523-2530 (2012).
17. Imanzadeh, S., Denis, A., and Marache, A. "Settlement uncertainty analysis for continuous spread footing on elastic soil", Geotech. Geol. Eng., 33(1), pp. 105-122 (2015).
18. Naeini, S.A. and Hossein Zade, M.H. "Numerical study of modulus of subgrade reaction in eccentrically loaded circular footing resting", World Academy of Science, Engineering and Technology, International Journal of Civil, Environmental, Structural, Construction and Architectural Engineering, 11(1), pp. 11-14 (2017).
19. Boulanger, R.W., Curras, C.J., Kutter, B.L., Wilson, D.W., and Abghari, A. "A seismic soil-pile-structure interaction experiments and analysis", J. Geotech. Geoenvironm. Eng., 125, pp. 750-759 (1999).
20. Daloglu, A.T. and Vallabhan, C.V.G. "Values of k for slab on winkler foundation", J. Geotech. Geoenvironm. Eng., 126(5), pp. 463-471 (2000).
21. Allotey, N. and El Nagger, M.H. "Generalized dynamic Winkler model for nonlinear soil-structure interaction analysis", Can. Geotech. J., 45, pp. 560-573 (2008).
22. Hernandez, O., El Naggar, H., and Bischoff, P.H. "Soilstructure interaction of steel fiber reinforced concrete slab strips on a geogrid reinforced subgrade", Geotech. Geol. Eng., 33(3), pp. 727-738 (2015).
23. Prendergast, L.J. and Gavin, K. "A comparison of initial stiffness formulations for small-strain soil-pile dynamic Winkler modeling", Soil Dyn. Earthq. Eng., 81, pp. 27-41 (2016).
24. Dincer, I. "Models to predict the deformation modulus and the coefficient of subgrade reaction for earth filling structures", Adv. Eng. Soft., 42(4), pp. 160-71 (2011).
25. Naeini, S.A. and Taherabadi, E. "Numerical and theoretical study of plate load test to define coefficient of subgrade reaction", Journal of Geotechnical and Transportation Engineering, 1(2), p. 2 (2015).
26. Patil, N.N., Swamy, H.R., and Shivashankar, R. "Studies on modulus of subgrade reaction of reinforced foundation soil using model plate load test", Journal of Chemical and Pharmaceutical Sciences, Special Issue 2, p. 2115 (2016).
27. Guo, W., Kou, H., Zhou, B., Nie, W., and Chu, J. "Simplified methods to analyze geosynthetic mattress resting on deformable foundation soil", Marine Georesources Geotechnology, 35(3), pp. 339-345 (2017).
28. Scott, R.F., Foundation Analysis, Englewood Cliffs, NJ, Prentice Hall (1981).
29. Bowles, J.E., Foundation Analysis and Design, McGraw-Hill Book Company (1966).
30. Naeini, S.A., Ziaie Moayed, R., and Allahyari, F. "Subgrade reaction modulus (Ks) of clayey soils based on field tests", Journal of Engineering Geology, 8(1), pp. 2021-2046 (2014).
31. Kalantary, F. and Kordnaeij A. "Prediction of compression index using artificial neural network", Sci. Res. Essays, 7(31), pp. 2835-2848 (2012).
32. Erzin, Y. and Turkoz, D. "Use of neural networks for the prediction of the CBR value of some Aegean sands", Neural Comput. Appl., 27(5), pp. 1415-1426 (2016).
33. Sharma, L.K., Singh, R., Umrao, R.K., Sharma, K.M., and Singh, T.N. "Evaluating the modulus of elasticity of soil using soft computing system", Eng. Comput., 33(3), pp. 497-507 (2017).
34. Singh, R., Umrao, R.K., Ahmad, M., Ansari, M.K., Sharma, L.K., and Singh, T.N. "Prediction of geomechanical parameters using soft computing and multiple regression approach", Measurement, 99, pp. 108-119 (2017).
35. Asvar, F., Shirmohammadi Faradonbeh, A., and Barkhordari, K. "Predicting potential of controlled blasting-induced liquefaction using neural networks and neuro-fuzzy system", Sci. Iran., 25(2), pp. 617- 631 (2018).
36. Tekin, E. and Akbas, S.O. "Predicting groutability of granular soils using adaptive neuro-fuzzy inference system", Neural Comput. Appl., 31(4), pp. 1091-1101 (2019).
37. Ataee, O., Hafezi Moghaddas, N., Lashkaripour, G.R., and Jabbari Nooghabi, M. "Predicting shear wave velocity of soil using multiple linear regression analysis and artificial neural networks", Sci. Iran., 25(4), pp. 1943-1955 (2018).
38. Erzin, Y. and Ecemis N. "The use of neural networks for the prediction of cone penetration resistance of silty sands", Neural Comput. Appl., 28(1), pp. 727- 736 (2017).
39. Xue, X. and Xiao, M. "Application of adaptive neurofuzzy inference system for prediction of internal stability of soils", Eur. J. Environ. Civ. Eng., 23(2), pp. 153-171 (2019).
40. Sharma, L.K., Vishal, V., and Singh, T.N. "Developing novel models using neural networks and fuzzy systems for the prediction of strength of rocks from key geomechanical properties", Measurement, 102, pp. 158-169 (2017).
41. Ranasinghe, R.A.T.M., Jaksa, M.B., Kuo, Y.L., and Nejad, F.P. "Application of artificial neural networks for predicting the impact of rolling dynamic compaction using dynamic cone penetrometer test results", Journal of Rock Mechanics and Geotechnical Engineering, 9(2), pp. 340-349 (2017).
42. Sharma, L.K., Vishal, V., and Singh, T.N. "Predicting CO2 permeability of bituminous coal using statistical and adaptive neuro-fuzzy analysis", J. Nat. Gas. Sci. Eng., 42, pp. 216-225 (2017).
43. Mohammadzadeh, D., Bazaz, J.B., and Alavi, A.H. "An evolutionary computational approach for formulation of compression index of fine-grained soils", Eng. Appl. Artif. Intell., 33, pp. 58-68 (2014).
44. Ivakhnenko, A.G. "Polynomial theory of complex systems", IEEE. Trans. Syst. Man. Cybern., 1(4), pp. 364-378 (1971).
45. Farlow, S.J., Self-Organizing Method in Modelling: GMDH Type Algorithm, Marcel Dekker Inc, New York (1984).
46. Eslami, A., Mola-Abasi, H., and Tabatabaeishorijeh, P. "A polynomial model for liquefaction potential prediction from CPT data", Sci. Iran., 21(1), pp. 44- 52 (2014).
47. Mola-Abasi, H., Eslami, A., and Tabatabaeishorijeh, P. "Shear wave velocity by polynomial neural networks and genetic algorithms based on geotechnical soil properties", Arab. J. Sci. Eng., 38(4), pp. 829-838 (2013).
48. Kordnaeij, A., Kalantary, F., Kordtabar, B., and Mola-Abasi, H. "Prediction of recompression index using GMDH-type neural network based on geotechnical soil properties", Soils Found., 55(6), pp. 1335-1345 (2015).
49. Ziaie Moayed, R., Kordnaeij, A., and Mola-Abasi, H. "Compressibility indices of saturated clays by group method of data handling and genetic algorithms", Neural Comput. Appl., 28(1), pp. 551-564 (2017).
50. Ardakani, A. and Kordnaeij, A. "Soil compaction parameters prediction using GMDH-type neural network and genetic algorithm", Eur. J. Environ. Civ. Eng., 23(4), pp. 449-462 (2019).
51. Hassanlourad, M., Ardakani, A., Kordnaeij, A., and Mola-Abasi, H. "Dry unit weight of compacted soils prediction using GMDH-type neural network", The European Physical Journal Plus, 132(8), p. 357 (2017).
52. Moayed, R.Z., Kordnaeij, A., and Mola-Abasi, H. "Pressuremeter modulus and limit pressure of clayey soils using GMDH-type neural network and genetic algorithms", Geotech. Geol. Eng., 36(1), pp. 165-178(2018).
53. Naeini, S.A., Moayed, R.Z., Kordnaeij, A., and Mola-Abasi, H. "Elasticity modulus of clayey deposits estimation using group method of data handling type neural network", Measurement, 121, pp. 335-343 (2018).
54. Reznik, Y.M. "Influence of physical properties on deformation characteristics of collapsible soils", Eng. Geol., 92(1), pp. 27-37 (2007).
55. Lee, J. and Jeong, S. "Experimental study of estimating the subgrade reaction modulus on jointed rock foundations", Rock Mech. Rock Eng., 49(6), pp. 2055- 2064 (2016).
56. Reznik, Y.M. "Plate-load tests of collapsible soils", J. Geotech. Eng., 119(3), pp. 608-15 (1993).
57. Moayed, R.Z. and Janbaz, M. "Subgrade reaction modulus of Tehran alluvium", P. I. Civil Eng-Geotec, 164(4), pp. 283-288 (2011).
58. Webb, D.L. "Settlement of structures on deep alluvial sandy sediments in Durban", South Africa Proceedings, Conference on in Situ Behavior of Soil and Rock, Institution of Civil Engineers, London, pp. 181-188 (1969).
59. Behpoor, L. and Ghahramani, A. "Correlation of SPT to strength and modulus of elasticity of cohesive soils", 12th International Conference on Soil Mechanics and Foundation Engineering, ISSMFE, Rio do Janeiro, Brazil, pp. 175-178 (1998).
60. ASTM D1194 "Standard test method for bearing capacity of soil for static load and spread footings", ASTM Int. (1994).
61. ASTM D1586 "Standard test method for Standard Penetration Test (SPT) and split-barrel sampling of soils", ASTM Int. (2011).
62. Sivrikaya, O. and Togrol, E. "Determination of undrained strength of fine-grained soils by means of SPT and its application in Turkey", Eng. Geol., 86(1), pp. 52-69 (2006).
63. Clayton, C.R.I. "The Standard Penetration Test (SPT): Methods and use", Construction Industry Research and Information Association Report, CIRIA, London, 143 (1995).
64. McGregor, J. and Duncan, J.M. "Performance and use of the standard penetration test in geotechnical engineering practice", Report of CGPR. Virginia Polytechnic Institute and State University, Virginia (1998).
65. Saran, S., Analysis and Design of Substructures, Balkema, Rotterdam (1996).
66. ASTM D422-63 "Standard test method for particlesize analysis of soils", ASTM Int. (2007).
67. ASTM D4318 "Standard test methods for liquid limit, plastic limit, and plasticity index of soils", ASTM Int. (2010).
Scientia Iranica
Volume 27, Issue 4
Transactions on Civil Engineering (A)
July and August 2020
Pages 1740-1750

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History

  • Receive Date: 15 November 2017
  • Revise Date: 13 May 2018
  • Accept Date: 06 August 2018

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