Skip to main content
Log in

Evaluating the modulus of elasticity of soil using soft computing system

  • Original Article
  • Published:
Engineering with Computers Aims and scope Submit manuscript

Abstract

The elastic modulus of soil is a key parameter for geotechnical projects, transportation engineering, engineering geology and geotechnics, but its estimation in laboratory or field is complex and difficult task due to instrument handling problems, high cost, and it being a time consuming process. For this reason, the predictive models are useful tool for indirect estimation of elastic modulus. In this study, to determine the modulus of elasticity of soil, a rapid, less expensive, and reliable predictive model was proposed using artificial neural network (ANN). For this purpose, a series of laboratory tests were conducted to estimate the index properties (i.e., particle size fractions, plastic limit, liquid limit, unit weight, and specific gravity) and the modulus of elasticity of soils collected from Mahabaleshwar (Maharashtra), Malshej Ghat (Maharashtra), and Lucknow (Uttar Pradesh), in India. The input parameters in the developed ANN model are gravel, sand, fines, plastic limit, liquid limit, unit weight, and specific gravity, and the output is modulus of elasticity. The accuracy of the obtained ANN model was also compared with the multiple regression model based on coefficient of determination (R 2), the mean absolute error (MAE), and the variance account for (VAF). The ANN predictive model had the R 2, MAE, and VAF equal to 0.98, 5.07, and 97.64 %, respectively, superseding the performance of the multiple regression model. The performance comparison revealed that ANN model has more reliable predictive performance than multiple regression and it can be applied for predicting the modulus of elasticity of soil with more confidence. Thus, the result of the present study indicates that the modulus of elasticity of soil can reliably be estimated from the indirect method using ANN analysis with greater confidence.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13

Similar content being viewed by others

References

  1. Agrawal G, Weeraratne S, Khilnani K (1994) Estimating clay liner and cover permeability using computational neural networks. Proceedings of the 1st Congress on Computing in Civil Engineering, Washington, pp 20–22

  2. Alvarez GM, Babuka R (1999) Fuzzy model for the prediction of unconfined compressive strength of rock samples. Int J Rock Mech Min Sci 36(3):339–349

    Article  Google Scholar 

  3. ASTM D421 (1998) Dry preparation of soil samples for particle-size analysis and determination of soil constants. ASTM Int. doi:10.1520/D0421-85R98

  4. ASTM D422 (2007) Standard test method for particle-size analysis of soils. ASTM Int. doi:10.1520/D0422-63R07E02

  5. ASTM D4318 (2010) Standard test methods for liquid limit, plastic limit, and plasticity index of soils. ASTM Int. doi:10.1520/D4318-10E01

  6. ASTM D2937 (2010) Standard Test Method for Density of Soil in Place by the Drive-Cylinder Method. ASTM Int. doi:10.1520/D2937-10

  7. ASTM D2166 (2013) Standard Test Method for Unconfined Compressive Strength of Cohesive Soil. ASTM Int. doi:10.1520/D2166_D2166M-13

  8. ASTM D854 (2014) Standard test methods for specific gravity of soil solids by water Pycnometer. ASTM Int. doi:10.1520/D0854-14

  9. Casagrande A (1940) Seepage through dams—contribution to soil mechanics. Boston Society of Civil Engineers, Boston, pp 1925–1940

    Google Scholar 

  10. Chan W, Chow Y, Liu L (1995) Neural network: an alternative to pile driving formulas. Comput Geotech 17(2):135–156

    Article  Google Scholar 

  11. Cho GC, Santamarina JC (2001) Unsaturated particulate materials-particle-level studies. J Geotech Geoenviron Eng 127(1):84–96

    Article  Google Scholar 

  12. Demuth H, Beale M (2001) Neural network toolbox for use with MATLAB. The Math Works Inc., Natick, p 840

    Google Scholar 

  13. Fouladgar N, Hasanipanah M, Amnieh HB (2016) Application of cuckoo search algorithm to estimate peak particle velocity in mine blasting. Eng Comput. doi:10.1007/s00366-016-0463-0

    Google Scholar 

  14. Gokceoglu C (2002) A fuzzy triangular chart to predict the uniaxial compressive strength of Ankara agglomerates from their petrographic composition. Eng Geol 66:39–51

    Article  Google Scholar 

  15. Hasanipanah M, Monjezi M, Shahnazar A, Jahed Armaghani D, Farazmand A (2015) Feasibility of indirect determination of blast induced ground vibration based on support vector machine. Measurement 75:289–297

    Article  Google Scholar 

  16. Hasanipanah M, Noorian-Bidgoli M, Armaghani DJ, Khamesi H (2016) Feasibility of PSO-ANN model for predicting surface settlement caused by tunneling. Eng Comput. doi:10.1007/s00366-016-0447-0

    Google Scholar 

  17. Hasanipanah M, Shahnazar A, Amnieh HB, Armaghani DJ (2016) Prediction of air-overpressure caused by mine blasting using a new hybrid PSO-SVR model. Eng Comput. doi:10.1007/s00366-016-0453-2

    Google Scholar 

  18. Huang YH (2004) Pavement analysis and design, 2nd edn. Pearson Prentice Hall, Upper Saddle River

    Google Scholar 

  19. Ishibashi I, Zhang I (1993) Unified dynamic shear moduli and damping ratios of sand and clay. Soils Found 33(1):183–191

    Article  Google Scholar 

  20. Javdanian H, Jafarian Y, Haddad A (2015) Predicting damping ratio of fine-grained soils using soft computing methodology. Arabian J Geosci 8:3959–3969

    Article  Google Scholar 

  21. Kahraman S, Altun H, Tezekici BS, Fener M (2005) Sawability prediction of carbonate rocks from shear strength parameters using artificial neural networks. Int J Rock Mech Min Sci 43(1):157–164

    Article  Google Scholar 

  22. Kahraman S, Gunaydin O, Alber M, Fener M (2009) Evaluating the strength and deformability properties of Misis fault breccia using artificial neural networks. Expert Syst Appl 36:6874–6878

    Article  Google Scholar 

  23. Kahraman S, Alber M, Fener M, Gunaydin O (2010) The usability of cerchar abrasivity index for the prediction of UCS and E of Misis fault breccia: regression and artificial neural networks analysis. Expert Syst Appl 37:8750–8756

    Article  Google Scholar 

  24. Kezdi A (1974) Handbook of soil mechanics. Elsevier, Amsterdam

    Google Scholar 

  25. Khandelwal M, Monjezi M (2013) Prediction of flyrock in open pit blasting operation using machine learning method. Int J Min Sci Technol 23:313–316

    Article  Google Scholar 

  26. Khandelwal M, Singh TN (2013) Application of an expert system to predict maximum explosive charge used per delay in surface mining. Rock Mech Rock Eng 46(6):1551–1558

    Article  Google Scholar 

  27. Kramer SL (1996) Geotechnical earthquake engineering. Pearson Prentice Hall, Upper Saddle River

    Google Scholar 

  28. McCulloch W, Pitts W (1943) A logical calculus of the ideas immanent in nervous activity. Bull Math Biol 7:115–133

    MathSciNet  MATH  Google Scholar 

  29. Monjezi M, Singh TN, Khandelwal M, Sinha S, Singh V, Hosseini I (2006) Prediction and analysis of blast parameters using artificial neural network. Noise Vib Worldwide UK 37(5):8–16

    Article  Google Scholar 

  30. Obrzud R, Truty A (2010) The hardening soil model—a practical guidebook. Technical Report Z_ Soil PC 100701. Zace Services Ltd, Lausanne

    Google Scholar 

  31. Ochmański M, Modoni G, Bzówka J (2015) Prediction of the diameter of jet grouting columns with artificial neural networks. Soils Found 55(2):425–436

    Article  Google Scholar 

  32. Prat M, Bisch E, Millard A, Mestat P, Cabot G (1995) La modelisation des ouvrages. Hermes, Paris

    Google Scholar 

  33. Rafiq MY, Bugmann G, Easterbrook DJ (2001) Neural network design for engineering applications. Comput Struct 79:1541–1552

    Article  Google Scholar 

  34. Sezer EA, Pradhan B, Gokceoglu C (2011) Manifestation of an adaptive neurofuzzy model on landslide susceptibility mapping: Klang valley, Malaysia. Expert Syst Appl 38(7):8208–8219

    Article  Google Scholar 

  35. Singh VK, Singh D, Singh TN (2001) Prediction of strength properties of some schistose rocks from petrographic properties using artificial neural networks. Int J Rock Mech Min Sci 38:269–284

    Article  Google Scholar 

  36. Singh R, Vishal V, Singh TN, Ranjith PG (2013) A comparative study of generalized regression neural network approach and adaptive neuro-fuzzy inference systems for prediction of unconfined compressive strength of rocks. Neural Comput Appl 23:499–506

    Article  Google Scholar 

  37. Singh TN, Singh R, Singh B, Sharma LK, Singh R, Ansari MK (2016) Investigations and stability analyses of Malin village landslide of Pune district, Maharashtra, India. Nat Hazards 81:2019–2030

    Article  Google Scholar 

  38. Singh PK, Tripathy A, Kainthola A, Mahanta B, Singh V, Singh TN (2016) Indirect estimation of compressive and shear strength from simple index tests. Eng Comput. doi:10.1007/s00366-016-0451-4

    Google Scholar 

  39. Sinha SK, Wang MC (2008) Artificial neural network prediction models for soil compaction and permeability. Geotech Geol Eng 26:47–64

    Article  Google Scholar 

  40. Sonmez H, Gokceoglu C, Medley EW, Tuncay E, Nefeslioglu HA (2006) Estimating the uniaxial compressive strength of a volcanic bimrock. Int J Rock Mech Min Sci 43:554–561

    Article  Google Scholar 

  41. Timm DH, Priest AL, McEwen TV (2004) Design and instrumentation of the structural pavement experiment at the NCAT test track. NCAT Report 04-01, National Center for Asphalt Technology, Auburn University

  42. Tizpa P, Jamshidi CR, Karimpour FM, Lemos MS (2015) ANN prediction of some geotechnical properties of soil from their index parameters. Arabian J Geosci 8(5):2911–2920

    Article  Google Scholar 

  43. Vucetic M, Dobry R (1991) Effect of soil plasticity on cyclic response. Int J Geotech Eng 117(1):89–107

    Article  Google Scholar 

  44. Wasserman PD (1989) Neural computing theory and practice. Van Nostrand Reinhold Co., New York

    Google Scholar 

  45. Yilmaz I, Yuksek AG (2008) Prediction of the strength and elasticity modulus of gypsum using multiple regression, ANN, ANFIS models and their comparison. Int J Rock Mech Min Sci 46(4):803–810

    Article  Google Scholar 

  46. Yilmaz I, Kaynar O (2011) Multiple regression, ANN (RBF, MLP) and ANFIS models for prediction of swell potential of clay soils. Expert Syst Appl 38:5958–5966

    Article  Google Scholar 

  47. Zorlu K, Gokceoglu C, Ocakoglu F, Nefeslioglu HA, Acikalin S (2008) Prediction of uniaxial compressive strength of sandstones using petrographybased models. Eng Geol 96:141–158

    Article  Google Scholar 

Download references

Acknowledgments

The authors would like to thank IIT Bombay for financial support. The authors gratefully acknowledge the generous help extended by Mr. Sunil Kumar Yadav (Research Fellow, IIT Bombay) during various stages of manuscript preparation. Authors are thankful to the anonymous reviewers for their constructive criticisms and useful suggestions that helped to improve the quality of the manuscript.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to L. K. Sharma.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Sharma, L.K., Singh, R., Umrao, R.K. et al. Evaluating the modulus of elasticity of soil using soft computing system. Engineering with Computers 33, 497–507 (2017). https://doi.org/10.1007/s00366-016-0486-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00366-016-0486-6

Keywords

Navigation