Ensemble unit and AI techniques for prediction of rock strain
Pradeep T, Pijush SAMUI, Navid KARDANI, Panagiotis G ASTERIS
Ensemble unit and AI techniques for prediction of rock strain
The behavior of rock masses is influenced by a variety of forces, with measurement of stress and strain playing the most critical roles in assessing deformation. The laboratory test for determining strain at each location within rock samples is expensive and difficult but rock strain data are important for predicting failure of rock material. Many researchers employ AI technology in order to solve these difficulties. AI algorithms such as gradient boosting machine (GBM), support vector regression (SVR), random forest (RF), and group method of data handling (GMDH) are used to efficiently estimate the strain at every point within a rock sample. Additionally, the ensemble unit (EnU) may be utilized to evaluate rock strain. In this study, 3000 experimental data are used for the purpose of prediction. The obtained strain values are then evaluated using various statistical parameters and compared to each other using EnU. Ranking analysis, stress-strain curve, Young’s modulus, Poisson’s ratio, actual vs. predicted curve, error matrix and the Akaike’s information criterion (AIC) values are used for comparing models. The GBM model achieved 98.16% and 99.98% prediction accuracy (in terms of values of R2) in the longitudinal and lateral dimensions, respectively, during the testing phase. The GBM model, based on the experimental data, has the potential to be a new option for engineers to use when assessing rock strain.
prediction / strain / ensemble unit / rank analysis / error matrix
[1] |
BruningT, KarakusM, NguyenG D, GoodchildD. An experimental and theoretical stress−strain−damage correlation procedure for constitutive modelling of granite. International Journal of Rock Mechanics and Mining Sciences, 2019, 116 : 1– 12
CrossRef
Google scholar
|
[2] |
YuP, PanP Z, FengG, WuZ, ZhaoS. Physico-mechanical properties of granite after cyclic thermal shock. Journal of Rock Mechanics and Geotechnical Engineering, 2020, 12( 4): 693– 706
CrossRef
Google scholar
|
[3] |
ZhangG, GaoF, WangZ, YueS, DengS. Quantifying the progressive fracture damage of granite rocks by stress–strain, acoustic emission, and active ultrasonic methods. Journal of Materials in Civil Engineering, 2021, 33( 12): 04021353
CrossRef
Google scholar
|
[4] |
ZhaoK, YuX, ZhouY, WangQ, WangJ, HaoJ. Energy evolution of brittle granite under different loading rates. International Journal of Rock Mechanics and Mining Sciences, 2020, 132 : 104392
CrossRef
Google scholar
|
[5] |
DuanK, JiY, WuW, KwokC Y. Unloading-induced failure of brittle rock and implications for excavation-induced strain burst. Tunnelling and Underground Space Technology, 2019, 84 : 495– 506
CrossRef
Google scholar
|
[6] |
GoswamiS, AnitescuC, ChakrabortyS, RabczukT. Transfer learning enhanced physics informed neural network for phase-field modeling of fracture. Theoretical and Applied Fracture Mechanics, 2020, 106 : 102447
CrossRef
Google scholar
|
[7] |
SamaniegoE, AnitescuC, GoswamiS, Nguyen-ThanhV M, GuoH, HamdiaK, ZhuangX, RabczukT. An energy approach to the solution of partial differential equations in computational mechanics via machine learning: Concepts, implementation and applications. Computer Methods in Applied Mechanics and Engineering, 2020, 362 : 112790
CrossRef
Google scholar
|
[8] |
Nguyen-ThanhV M, AnitescuC, AlajlanN, RabczukT, ZhuangX. Parametric deep energy approach for elasticity accounting for strain gradient effects. Computer Methods in Applied Mechanics and Engineering, 2021, 386 : 114096
CrossRef
Google scholar
|
[9] |
ZhuangX, GuoH, AlajlanN, ZhuH, RabczukT. Deep autoencoder based energy method for the bending, vibration, and buckling analysis of Kirchhoff plates with transfer learning. European Journal of Mechanics. A, Solids, 2021, 87 : 104225
CrossRef
Google scholar
|
[10] |
AnitescuC, AtroshchenkoE, AlajlanN, RabczukT. Artificial neural network methods for the solution of second order boundary value problems. Computers, Materials & Continua, 2019, 59( 1): 345– 359
CrossRef
Google scholar
|
[11] |
GuoH, ZhuangX, RabczukT. A deep collocation method for the bending analysis of Kirchhoff plate. Computers, Materials & Continua, 2019, 59( 2): 433– 456
CrossRef
Google scholar
|
[12] |
BardhanA, KardaniN, GuhaRayA, BurmanA, SamuiP, ZhangY. Hybrid ensemble soft computing approach for predicting penetration rate of tunnel boring machine in a rock environment. Journal of Rock Mechanics and Geotechnical Engineering, 2021, 13( 6): 1398– 1412
CrossRef
Google scholar
|
[13] |
AsterisP G, MamouA, HajihassaniM, HasanipanahM, KoopialipoorM, LeT T, KardaniN, ArmaghaniD J. Soft computing based closed form equations correlating L and N-type Schmidt hammer rebound numbers of rocks. Transportation Geotechnics, 2021, 29 : 100588
CrossRef
Google scholar
|
[14] |
KardaniN BardhanA RoyB Samui P NazemM ArmaghaniD J ZhouA. A novel improved Harris Hawks optimization algorithm coupled with ELM for predicting permeability of tight carbonates. Engineering with Computers, 2021
|
[15] |
KardaniN, ZhouA, ShenS L, NazemM. Estimating unconfined compressive strength of unsaturated cemented soils using alternative evolutionary approaches. Transportation Geotechnics, 2021, 29 : 100591
CrossRef
Google scholar
|
[16] |
KardaniN, BardhanA, SamuiP, NazemM, AsterisP G, ZhouA. Predicting the thermal conductivity of soils using integrated approach of ANN and PSO with adaptive and time-varying acceleration coefficients. International Journal of Thermal Sciences, 2022, 173 : 107427
CrossRef
Google scholar
|
[17] |
KardaniN, BardhanA, GuptaS, SamuiP, NazemM, ZhangY, ZhouA. Predicting permeability of tight carbonates using a hybrid machine learning approach of modified equilibrium optimizer and extreme learning machine. Acta Geotechnica, 2022, 17 : 1239– 1255
CrossRef
Google scholar
|
[18] |
KaloopM R, BardhanA, KardaniN, SamuiP, HuJ W, RamzyA. Novel application of adaptive swarm intelligence techniques coupled with adaptive network-based fuzzy inference system in predicting photovoltaic power. Renewable & Sustainable Energy Reviews, 2021, 148 : 111315
CrossRef
Google scholar
|
[19] |
LaghaeiM BaghbananA HashemolhosseiniH DehghanipoodehM. Numerical determination of deformability and strength of 3D fractured rock mass. International Journal of Rock Mechanics and Mining Sciences, 2018, 110: 246– 256
|
[20] |
GundewarC S. Government of India Ministry of Mines INDIAN BUREAU OF MINES Controller General Indian Bureau of Mines Application of Rock Mechanics in Surface and Underground Mining. New Delhi: Indian Bureau of Mines, 2014
|
[21] |
ZhangW G, LiH R, WuC Z, LiY Q, LiuZ Q, LiuH L. Soft computing approach for prediction of surface settlement induced by earth pressure balance shield tunneling. Underground Space, 2021, 6( 4): 353– 363
CrossRef
Google scholar
|
[22] |
ZhouJ, QiuY, ArmaghaniD J, ZhangW, LiC, ZhuS, TarinejadR. Predicting TBM penetration rate in hard rock condition: A comparative study among six XGB-based metaheuristic techniques. Geoscience Frontiers, 2021, 12( 3): 101091
CrossRef
Google scholar
|
[23] |
PradeepT, BardhanA, SamuiP. Prediction of rock strain using soft computing framework. Innovative Infrastructure Solutions, 2021, 7( 1): 37
CrossRef
Google scholar
|
[24] |
KardaniN, SamuiP, KimD, ZhouA. Smart phase behavior modeling of asphaltene precipitation using advanced computational frameworks: ENN, GMDH, and MPMR. Petroleum Science and Technology, 2021, 39( 19−20): 804– 825
CrossRef
Google scholar
|
[25] |
PradeepT, BardhanA, BurmanA, SamuiP. Rock strain prediction using deep neural network and hybrid models of ANFIS and Meta-Heuristic optimization algorithms. Infrastructure, 2021, 6( 9): 129
|
[26] |
LiN, NguyenH, RostamiJ, ZhangW, BuiX N, PradhanB. Predicting rock displacement in underground mines using improved machine learning-based models. Measurement, 2022, 188 : 110552
CrossRef
Google scholar
|
[27] |
LawalA I, KwonS. Application of artificial intelligence to rock mechanics: An overview. Journal of Rock Mechanics and Geotechnical Engineering, 2021, 13( 1): 248– 266
CrossRef
Google scholar
|
[28] |
BreimanL. Random forests. Machine Learning, 2001, 45( 1): 5– 32
|
[29] |
CutlerA, CutlerD R, StevensJ R. Ensemble Machine Learning. Boston: Springer, 2012,
CrossRef
Google scholar
|
[30] |
LouppeG. Understanding Random Forests from Theory to Practice. University of Liège, 2014
|
[31] |
GongM, BaiY, QinJ, WangJ, YangP, WangS. Gradient boosting machine for predicting return temperature of district heating system: A case study for residential buildings in Tianjin. Journal of Building Engineering, 2020, 27 : 100950
CrossRef
Google scholar
|
[32] |
KonstantinovA V, UtkinL V. Interpretable machine learning with an ensemble of gradient boosting machines. Knowledge-Based Systems, 2021, 222 : 106993
CrossRef
Google scholar
|
[33] |
ZhouJ, LiE, YangS, WangM, ShiX, YaoS, MitriH S. Slope stability prediction for circular mode failure using gradient boosting machine approach based on an updated database of case histories. Safety Science, 2019, 118 : 505– 518
CrossRef
Google scholar
|
[34] |
NatekinA, KnollA. Gradient boosting machines, a tutorial. Frontiers in Neurorobotics, 2013,
CrossRef
Google scholar
|
[35] |
AwadM, KhannaR. Efficient Learning Machines. Berkeley: Apress, 2015,
CrossRef
Google scholar
|
[36] |
FanG F, YuM, DongS Q, YehY H, HongW C. Forecasting short-term electricity load using hybrid support vector regression with grey catastrophe and random forest modeling. Utilities Policy, 2021, 73 : 101294
CrossRef
Google scholar
|
[37] |
RoohiR, EmdadH, JafarpurK. Toward a realistic reconstruction and determination of blood flow pattern in complex vascular network: 3D, non-Newtonian, multi-branch simulation based on CFD and GMDH algorithm. International Communications in Heat and Mass Transfer, 2021, 122 : 105185
CrossRef
Google scholar
|
[38] |
EbtehajI, BonakdariH, ZajiA H, AzimiH, KhoshbinF. GMDH-type neural network approach for modeling the discharge coefficient of rectangular sharp-crested side weirs. Engineering Science and Technology, an International Journal, 2015, 18( 4): 746– 757
CrossRef
Google scholar
|
[39] |
IsahB W MohamadH AhmadN R HarahapI S H Al-BaredM A M. Uniaxial compression test of rocks: Review of strain measuring instruments. In: IOP Conference Series: Earth and Environmental Science, Volume 476, 2nd International Conference on Civil & Environmental Engineering. Langkawi, 2019.
|
[40] |
FriedmanJ H. Greedy function approximation: A gradient boosting machine. Annals of statistics, 2001, 29( 5): 1189– 1232
|
[41] |
ChenY, ZhengW, LiW, HuangY. Large group activity security risk assessment and risk early warning based on random forest algorithm. Pattern Recognition Letters, 2021, 144 : 1– 5
CrossRef
Google scholar
|
[42] |
JinZ, ShangJ, ZhuQ, LingC, XieW, QiangB. RFRSF: Employee turnover prediction based on random forests and survival analysis. In: International Conference on Web Information Systems Engineering. Cham: Springer, 2020,
CrossRef
Google scholar
|
[43] |
KoC N, LeeC M. Short-term load forecasting using SVR (support vector regression)-based radial basis function neural network with dual extended Kalman filter. Energy, 2013, 49 : 413– 422
CrossRef
Google scholar
|
[44] |
KoopialipoorM, NikoueiS S, MartoA, FahimifarA, Jahed ArmaghaniD, MohamadE T. Predicting tunnel boring machine performance through a new model based on the group method of data handling. Bulletin of Engineering Geology and the Environment, 2019, 78( 5): 3799– 3813
CrossRef
Google scholar
|
[45] |
NouraniV, AbdollahiZ, SharghiE. Sensitivity analysis and ensemble artificial intelligence-based model for short-term prediction of NO2 concentration. International Journal of Environmental Science and Technology, 2021, 18( 9): 2703– 2722
CrossRef
Google scholar
|
[46] |
WongF S. Slope reliability and response surface method. Journal of geotechnical Engineering, 1985, 111( 1): 32– 53
|
[47] |
SrinivasuluS, JainA. A comparative analysis of training methods for artificial neural network rainfall-runoff models. Applied Soft Computing, 2006, 6( 3): 295– 306
CrossRef
Google scholar
|
[48] |
WillmottC J. Spatial Statistics and Models. Dordrecht: Springer, 1984,
CrossRef
Google scholar
|
[49] |
ChaiT, DraxlerR R. Root mean square error (RMSE) or mean absolute error (MAE)?—Arguments against avoiding RMSE in the literature. Geoscientific Model Development, 2014, 7( 3): 1247– 1250
CrossRef
Google scholar
|
[50] |
VilleneuveM C HeapM J KushnirA R L QinT Baud P ZhouG XuT. Estimating in situ rock mass strength and elastic modulus of granite from the Soultz-sous-Forêts geothermal reservoir (France) . Geothermal Energy, 2018, 6: 1– 29
|
[51] |
DomedeN, ParentT, SellierA. Mechanical behaviour of granite: A compilation, analysis and correlation of data from around the world. European Journal of Environmental and Civil Engineering, 2019, 23( 2): 193– 211
CrossRef
Google scholar
|
[52] |
PradeepT, GuhaRayA, BardhanA, SamuiP, KumarS, ArmaghaniD J. Reliability and prediction of embedment depth of sheet pile walls using hybrid ANN with optimization techniques. Arabian Journal for Science and Engineering, 2022,
CrossRef
Google scholar
|
[53] |
GuvenA, KişiÖ. Estimation of suspended sediment yield in natural rivers using machine-coded linear genetic programming. Water Resources Management, 2011, 25( 2): 691– 704
CrossRef
Google scholar
|
[54] |
AyoublooM K, AzamathullaH M, JabbariE, ZanganehM. Predictive model-based for the critical submergence of horizontal intakes in open channel flows with different clearance bottoms using CART, ANN and linear regression approaches. Expert Systems with Applications, 2011, 38( 8): 10114– 10123
CrossRef
Google scholar
|
/
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