Estimation of deformation modulus of coals using artificial neural networks (ANN)


  • Ekin Köken Nanotechnology Engineering Department, Abdullah Gul University, 38100, Kayseri, Turkey



Coal, Deformation properties, Young modulus, Artificial neural networks


In this study, the Young modulus (E) of different coals was investigated using artificial neural networks (ANN). For this purpose, a comprehensive literature survey was carried out to compile such datasets available for the ANN analyses. As a result of the literature survey, a database composed of 81 datasets was formed. In the ANN analyses, uniaxial compressive strength (UCS) and dry density (ρd) of coals were adopted as input parameters. The ANN analysis results demonstrated that the predictive model established in this study could be reliably used to estimate the E for different coals. The correlation of determination value (R2) for the developed model is 0.85, which shows its relative success. In this context, this study can be declared a case study showing the applicability of ANN for the evaluation of E for a wide range of coal types. However, the number of samples and independent variables should be increased to obtain more comprehensive models in future studies.


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X. Liu, X. Zhang, H. Wang, B. Jiang, Laboratory testing and analysis of dynamic and static resilient modulus of subgrade soil under various influencing factors, Construction and Building Materials 195 (2019) pp. 178–186.

X. Chu, A Review on the Resilient Response of Unsaturated Subgrade Soils, Advances in Civil Engineering (2020), 7367484.

F. Lekarp, U. Isacsson, and A. Dawson, "State of the Art. I: Resilient Response of Unbound Aggregates," Journal of Transportation Engineering-asce - J TRANSP ENG-ASCE 126 (1) (2000).

A. S. El-Ashwah, A. M. Awed, S. M. El-Badawy, and A. R. Gabr, "A new approach for developing resilient modulus master surface to characterize granular pavement materials and subgrade soils," Construction and Building Materials 94 (2019) pp. 372-385.

Y. Yao, J. Zheng, J. Zhang, J. Peng, and J. Li, "Model for predicting resilient modulus of unsaturated subgrade soils in south China," KSCE Journal of Civil Engineering 22 (6) (2018) pp. 2089-2098.

K. Naji, "Resilient modulus–moisture content relationships for pavement engineering applications," Int. J. Pavement Eng. 19 (7) (2018) pp. 651-660.

Y. J. Cui, "Mechanical behaviour of coarse grains/fines mixture under monotonic and cyclic loadings," Transportation Geotechnics, Review 17 (2018) pp. 91-97.

J. Zhang, J. Peng, L. Zeng, J. Li, and F. Li, "Rapid estimation of resilient modulus of subgrade soils using performance-related soil properties," Int. J. Pavement Eng. (2019) pp. 1-8.

C. E. Cary and C. E. Zapata, "Resilient modulus for unsaturated unbound materials," Road Materials and Pavement Design 12 (3) (2011) pp. 615-638.

H. Park, G. Kweon, and S. R. Lee, "Prediction of resilient modulus of granular subgrade soils and subbase materials using artificial neural network," Road Materials and Pavement Design 10 (3) (2009) pp. 647-665.

S. Jayakody, C. Gallage, and J. Ramanujam, "Performance characteristics of recycled concrete aggregate as an unbound pavement material," Heliyon, Review 5 (9) (2019), Art no. e02494.

N. Su, F. Xiao, J. Wang, and S. Amirkhanian, "Characterizations of base and subbase layers for Mechanistic-Empirical Pavement Design," Construction and Building Materials, Review 152 (2017) pp. 731-745.

J. H. Zhang, J. H. Peng, and J. L. Zheng, "Progress and Prospect of the Prediction Model of the Resilient Modulus of Subgrade Soils," Zhongguo Gonglu Xuebao/China Journal of Highway and Transport, Review 33 (1) (2020) pp. 1-13.

J. M. Rasul, G. S. Ghataora, and M. P. Burrow, "The effect of wetting and drying on the performance of stabilized subgrade soils," Transportation Geotechnics 14 (2018) pp. 1-7.

X. R. Wu and L. L. Zhu, "Analysis of the influence of water content on shanxi loess CBR and rebound module," in H. Abbas and T. K. Hwee Eds., Advanced Materials Research. Durnten-Zurich: Trans Tech Publications Ltd 919-921 (4) (2014), pp. 820-823.

R. Ji, N. Siddiki, T. Nantung, and D. Kim, "Evaluation of resilient modulus of subgrade and base materials in Indiana and its implementation in MEPDG," The Scientific World Journal 2014 (2014).

F. Salour and S. Erlingsson, "Resilient modulus modelling of unsaturated subgrade soils: laboratory investigation of silty sand subgrade," Road Materials and Pavement Design 16 (3) (2015) pp. 553-568.

X. R. Wu and L. L. Zhu, "Study on the Relations of Strength control indicators of road subgrade in shanxi loess region," in H. Abbas and T. K. Hwee Eds., Advanced Materials Research. Durnten-Zurich: Trans Tech Publications Ltd 919-921 (2014) pp. 1160-1163.

F. Salour, S. Erlingsson, and C. E. Zapata, "Modelling resilient modulus seasonal variation of silty sand subgrade soils with matric suction control," Can. Geotech. J. 51 (12) (2014) pp. 1413-1422.

F. Achampong, M. Usmen, and T. Kagawa. Evaluation of resilient modulus for lime- and cement-stabilized synthetic cohesive soils, Transportation Research Record (1997) pp. 70-75.

A. Rahim and K. George, "Models to estimate subgrade resilient modulus for pavement design," Int. J. Pavement Eng. 6 (2) (2005) pp. 89-96.

C. N. Khoury, N. N. Khoury, and G. A. Miller. Effect of cyclic suction history (hydraulic hysteresis) on resilient modulus of unsaturated fine-grained soil, Transportation Research Record (2011) pp. 68-75.

AASHTO, "AASHTO M 145 (1991), AASHTO Standard Specification for Classification of Soils and Soil–Aggregate Mixtures for Highway Construction Purposes," 1991.

A. C. D.-o. Soil and Rock, Standard Practice for Classification of Soils for Engineering Purposes (Unified Soil Classification System) 1. ASTM international, 2017.

AASHTO, "AASHTO T 307-99 (2007), AASHTO Standard method of test for determining the resilient modulus of soils and aggregate materials, Washington D.C.," 2009.

T. R. Board, E. National Academies of Sciences, and Medicine, Laboratory Determination of Resilient Modulus for Flexible Pavement Design. Washington, DC: The National Academies Press (in English), 2004.

AASHTO, "AASHTO T 274 (1994), AASHTO Standard Method of Test for Resilient Modulus of Unbound Granular Base/Subbase Materials and Subgrade Soils - SHRP Protocol P46," 1994.

ASTM, "ASTM D 559-96, (2003), Standard test method for wetting and drying of compacted mixture, ASTM International, Pennsylvania, USA."




How to Cite

Köken, E. (2022). Estimation of deformation modulus of coals using artificial neural networks (ANN). Acta Technica Jaurinensis.



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