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Prediction of unconfined compressive strength of carbonate rocks using artificial neural networks

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Abstract

The unconfined compressive strength (UCS) of intact rocks is an important geotechnical parameter for engineering applications. Determining UCS using standard laboratory tests is a difficult, expensive and time consuming task. This is particularly true for thinly bedded, highly fractured, foliated, highly porous and weak rocks. Consequently, prediction models become an attractive alternative for engineering geologists. The objective of study is to select the explanatory variables (predictors) from a subset of mineralogical and index properties of the samples, based on all possible regression technique, and to prepare a prediction model of UCS using artificial neural networks (ANN). As a result of all possible regression, the total porosity and P-wave velocity in the solid part of the sample were determined as the inputs for the Levenberg–Marquardt algorithm based ANN (LM-ANN). The performance of the LM-ANN model was compared with the multiple linear regression (REG) model. When training and testing results of the outputs of the LM-ANN and REG models were examined in terms of the favorite statistical criteria, which are the determination coefficient, adjusted determination coefficient, root mean square error and variance account factor, the results of LM-ANN model were more accurate. In addition to these statistical criteria, the non-parametric Mann–Whitney U test, as an alternative to the Student’s t test, was used for comparing the homogeneities of predicted values. When all the statistics had been investigated, it was seen that the LM-ANN that has been developed, was a successful tool which was capable of UCS prediction.

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References

  • Åkesson U, Lindqvist JE, Göransson M, Stigh J (2001) Relationship between texture and mechanical properties of granites, central Sweden, by use of image-analysing techniques. Bull Eng Geol Environ 60:277–284

    Article  Google Scholar 

  • Altindag R, Alyildiz IS, Onargan T (2004) Technical note: mechanical property degradation of ignimbrite subjected to recurrent freeze-thaw cycles. Int J Rock Mech Min Sci 41:1023–1028

    Article  Google Scholar 

  • Alvarez Grima M, Babuska R (1999) Fuzzy model for the prediction of unconfined compressive strength of rock samples. Int J Rock Mech Min Sci 36:339–349

    Article  Google Scholar 

  • Ameen MS, Smart BGD, Somerville JMC, Hammilton S, Naji NA (2009) Predicting rock mechanical properties of carbonates from wireline logs (A case study: Arab-D reservoir, Ghawar field, Saudi Arabia). Mar Petrol Geol 26:430–434

    Article  Google Scholar 

  • Asef MR, Farrokhrouz M (2010) Governing parameters for approximation of carbonates UCS. Electron J Geotech Eng 15:1581–1592

    Google Scholar 

  • Barton N (2007) Fracture-induced seismic anisotropy when sharing is induced in production from fractured reservoirs. J Seism Explor 16:115–143

    Google Scholar 

  • Baykasoğlu A, Güllü H, Canakcı H, Ozbakır L (2008) Predicting of compressive and tensile strength of limestone via genetic programming. Expert Syst Appl 35:111–123

    Article  Google Scholar 

  • Bell FG (1978) The physical and mechanical properties of Fell sandstones, North-Umberland, England. Eng Geol 12:1–29

    Article  Google Scholar 

  • Bieniawski ZT (1974) Estimating the strength of rock materials. J S Afr Inst Min Metall 74:312–320

    Google Scholar 

  • Brooks N (1985) The equivalent core diameter method of size and shape correction in point load test. Int J Rock Mech Min Sci Geomechan Abstr 22:61–70

    Article  Google Scholar 

  • Canakci H, Pala M (2007) Tensile strength of basalt from a neural network. Eng Geol 94:10–18

    Article  Google Scholar 

  • Ceryan S, Tudes S, Ceryan N (2008) A new quantitative weathering classification for igneous rocks. Environ Geol 55:1319–1336

    Article  Google Scholar 

  • Cevik A, Sezer EA, Cabalar AF, Gokceoglu C (2011) Modeling of the unconfined compressive strength of some clay-bearing rocks using neural network. Appl Soft Comput 11:2587–2594

    Article  Google Scholar 

  • Chang C, Zoback MD, Khaksar A (2006) Empirical relations between rock strength and physical properties in sedimentary rocks. J Petrol Sci Eng 51:223–237

    Article  Google Scholar 

  • D’Andrea DV, Fisher RL, Fogelsen DE (1965) Prediction of rock strength from other rock properties. US Bur Min Rep Invest, Washington DC, 6702:5–45

  • Dehghan S, Sattarı GH, Chehreh CS, Aliabadi MA (2010) Prediction of unconfined compressive strength and modulus of elasticity for Travertine samples using regression and artificial neural. Netw Min Sci Technol 20:0041–0046

    Google Scholar 

  • Diamantis K, Gartzos E, Migiros G (2009) Study on uniaxial compressive strength, point load strength index, dynamic and physical properties of serpentinites from Central Greece: test results and empirical relations. Eng Geol 108:199–207

    Article  Google Scholar 

  • Doberenier L, De Freitas MH (1986) Geotechnical properties of weak sandstones. Geotechnique 36:79–94

    Article  Google Scholar 

  • Ellis GW, Yao C, Zhao R (1992) Neural network modelling of the mechanical behaviour of sand. In: Proceedings of Ninth Conference ASCE Engng Mech. ASCE New York, pp 421–424

  • Fahy MP, Guccione MJ (1979) Estimating strength of sandstone using petrographic thin-section data. Bull Assoc Eng Geol 16:467–485

    Google Scholar 

  • Fistikoglu O, Okkan U (2011) Statistical downscaling of monthly precipitation using NCEP/NCAR reanalysis data for Tahtali River basin in Turkey. ASCE J Hydrol Eng 16(2):157–164

    Article  Google Scholar 

  • Garret JH Jr (1994) Where and why artificial neural networks are applicable in civil engineering. J Comput Civil Eng ASCE 8(2):129–130

    Article  Google Scholar 

  • Gaviglio P (1989) Longitudinal waves propagation in a limestone: the relationship between velocity and density. Rock Mech Rock Eng 22:299–306

    Article  Google Scholar 

  • Ghabousi J, Garret JH, Wu X (1991) Knowledge based modeling of material behavior with neural networks. ASCE J Eng Mech 171(1):132–153

    Article  Google Scholar 

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

    Article  Google Scholar 

  • Gokceoglu C, Zorlu K (2004) A fuzzy model to predict the unconfined compressive strength and modulus of elasticity of a problematic rock. Eng Appl Artif Intell 17:61–72

    Article  Google Scholar 

  • Gokceoglu C, Ulusay R, Sonmez H (2000) Factors affecting durability of the weak and clay-bearing rocks selected from Turkey with particular emphasis on the influence of the number of drying and wetting of cycles. Eng Geol 57(3–4):215–237

    Article  Google Scholar 

  • Gundoğdu N (1982) Geological, mineralogical and geochemical analysis of Bigadic sedimentary basin aged Neojen. PhD thesis, Hacettepe University, Ankara, Turkey (in Turkish)

  • Hagan MT, Menhaj MB (1994) Training feed forward techniques with the Marquardt algorithm. IEEE Trans Neural Netw 5(6):989–993

    Article  Google Scholar 

  • Ham F, Kostanic I (2001) Principles of neurocomputing for science and engineering. Mcgraw-Hill, USA

    Google Scholar 

  • Hawkins A, McConnell BJ (1990) Influence of geology on geomechanical properties of sandstones. In: 7th International congress on rock mechanics, Balkema, Rotterdam, pp 257–260

  • Hinnes WW, Montgomery DC (1990) Probability and statistics in engineering and management science. John Wiley & Sons, Singapore

    Google Scholar 

  • Huang Y, Wanstedt S (1998) The introduction of neural network system and its applications in rock engineering. Eng Geol 4:253–260

    Article  Google Scholar 

  • International Society for Rock Mechanics (ISRM) (1981) In rock characterization, testing and monitoring—ISRM suggested methods. In: Brown ET (ed), Oxford Pergamon, p 211

  • International Society for Rock Mechanics (ISRM) (2007) The complete ISRM suggested methods for rock characterization, testing and monitoring: 1974–2006. In: Ulusay R, Hudson JA (eds) Suggested methods prepared by the commission on testing methods, International Society for Rock Mechanics. ISRM Turkish National Group. Ankara, Turkey

  • Jensen LRD, Friis H, Fundal E, Mǿller P, Jespersen M (2010) Analysis of limestone micromechanical properties by optical microscopy. Eng Geol 110(3–4):43–50

    Google Scholar 

  • Kahraman S (2001) Evaluation of simple methods for assessing the unconfined compressive strength of rock. Int J Rock Mech Min Sci 38:981–984

    Article  Google Scholar 

  • Kahraman S, Alber M (2006) Estimating the unconfined compressive strength and elastic modulus of a fault breccia mixture of weak rocks and strong matrix. Int J Rock Mech Min Sci 43:1277–1287

    Article  Google Scholar 

  • 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 

  • 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 

  • Lama RD, Vutukuri V (1978) Handbook on mechanical properties of rocks. Vol 2, Trans Tech Publication. ISBN-13:978–0878490233

  • Lindqvist JE, Åkesson U (2001) Image analysis applied to engineering geology, a literature review. Bull Eng Geol Environ 60:117–122

    Article  Google Scholar 

  • Mallows CL (1973) Some comments on Cp. Technometrics 15(4):661–675

    Google Scholar 

  • Mann HB, Whitney DR (1947) On a test of whether one of two random variables is stochastically larger than the other. Ann Math Stat 18:50–60

    Article  Google Scholar 

  • Marquardt D (1963) An algorithm for least squares estimation of non-linear parameters. J Soc Ind Appl Math 11(2):431–441

    Article  Google Scholar 

  • McQuarrie AD, Tsai C (1998) Regression and time series model selection. World Scientific Publishing Co., Pte. Ltd, River Edge

    Book  Google Scholar 

  • Meulenkamp F (1997) Improving the prediction of the UCS by Equotip readings using statistical and neural network models. Memoirs of the centre for engineering geology in the Netherlands, vol 162, p 127

  • Meulenkamp F, Alvarez Grima M (1999) Application of neural networks for the prediction of the unconfined compressive strength (UCS) from Equotip hardness. Int J Rock Mech Min Sci 36:29–39

    Article  Google Scholar 

  • Moh’d BK (2009) Compressive strength of vuggy oolitic limestones as a function of their porosity and sound propagation. Jordan J Earth Environ Sci 2:18–25

    Google Scholar 

  • Moradian Z, Behnia M (2009) Predicting the unconfined compressive strength and static young’s modulus of intact sedimentary rocks using the ultrasonic tests. Int J Geomech ASCE 9:1–14

    Article  Google Scholar 

  • Neter J, Kutner M, Nachtsheim C, Wasserman W (1996) Applied linear statistical models. McGraw-Hill Companies, Inc, NY

    Google Scholar 

  • Nie X, Zhang Q (1994) Prediction of rock mechanical behaviour by artificial neural network. A comparison with traditional method. In: IV CSMR, Integral Approach to Applied Rock Mechanics. Santiago, Chile

  • Okkan U (2011) Application of Levenberg-Marquardt optimization algorithm based multilayer neural networks for hydrological time series modeling. An Int J Optim Control Theor Appl 1(1):53–63

    Google Scholar 

  • Okkan U, Dalkilic HY (2011) Reservoir inflows modeling with artificial neural networks: the case of Kemer Dam in Turkey. Fresenius Environ Bull 20(12):3110–3119

    Google Scholar 

  • Oyler DC, Mark C, Melinda GM (2010) In situ estimation of roof rock strength using sonic logging. Int J Coal Geol 83:484–490

    Article  Google Scholar 

  • Romana M (1999) Correlation between unconfined compressive and point-load (Franklin tests) strengths for different rock classes. In: 9th ISRM Congress, 1. Balkema, Paris, pp 673–676

  • Saito T, Mamoru ABE, Kundri S (1974) Study on weathering of igneous rock. Rock Mech Jpn 2:28–30

  • Sarkar K, Tiwary A, Singh TN (2010) Estimation of strength parameters of rock using artificial neural networks. Bull Eng Geol Environ 69:599–606

    Article  Google Scholar 

  • Shakoor A, Bonelli R (1991) Relationship between petrographic characteristics, engineering index properties and mechanical properties of selected sandstones. Bull Assoc Eng Geol 28:55–71

    Google Scholar 

  • Sharma S (1996) Applied multivariate techniques. John Willey & Sons, Inc, Canada

    Google Scholar 

  • Singh TN, Dubey R (2000) A study of transmission velocity of primary wave (P-Wave) in Coal Measures sandstone. J Sci Ind Res India 59:482–486

    Google Scholar 

  • Singh A, Harrison A (1985) Standardized principal components. Int J Remote Sens 6:883–896

    Article  Google Scholar 

  • 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 

  • Sonmez H, Tuncay E, Gokceoglu C (2004) Models to predict the unconfined compressive strength and the modulus of elasticity for Ankara Agglomerate. Int J Rock Mech Min Sci 41(5):717–729

    Article  Google Scholar 

  • Temel A, Gundogdu MN (1996) Zeolite occurrences and the erionite–mesothelioma relationship in Cappadocia, Central Anatolia, Turkey. Miner Deposita 31:539–547

    Article  Google Scholar 

  • Tiryaki B (2008) Predicting intact rock strength for mechanical excavation using multivariate statistics, artificial neural networks and regression trees. Eng Geol 99(1–2):51–60

    Article  Google Scholar 

  • Ulusay R, Tureli K, Ider MH (1994) Prediction of engineering properties of a selected litharenite sandstone from its petrographic characteristics using correlation and multivariate statistical techniques. Eng Geol 37:135–157

    Article  Google Scholar 

  • Ulusay R, Gokceoglu C, Sulukcu S (2001) ISRM suggested method for determining block punch index (BPI). Int J Rock Mech Min Sci 38:1113–1119

    Article  Google Scholar 

  • Yagiz S, Sezer EA, Gokceoglu C (2012) Artificial neural networks and nonlinear regression techniques to assess the influence of slake durability cycles on the prediction of uniaxial compressive strength and modulus of elasticity for carbonate rocks. I J Numer Anal Method Geomech. doi:10.1002/nag.1066

  • Yilmaz I (2010) Use of the core strangle test for tensile strength estimation and rock mass classification. Int J Rock Mech Min Sci 47(5):845–850

    Article  Google Scholar 

  • Yilmaz I, Yuksek AG (2008) An example of artificial neural network (ANN) application for indirect estimation of rock parameters. Rock Mech Rock Eng 41(5):781–795

    Article  Google Scholar 

  • Yilmaz I, Yuksek AG (2009) Prediction of the strength and elasticity modulus of gypsum using multiple regression, ANN and ANFIS models. Int J Rock Mech Min Sci 46(4):803–810

    Article  Google Scholar 

  • Youash Y (1970) Dynamic, physical properties of rocks: Part 2. Experimental result. Proc 2nd Congr Int Soc Rock Mech Beograd 1:185–195

    Google Scholar 

  • Zorlu K, Gokceoglu C, Ocakoglu F, Nefeslioglu HA, Acikalin S (2008) Prediction of unconfined compressive strength of sandstones using petrography-based models. Eng Geol 96:141–158

    Article  Google Scholar 

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Ceryan, N., Okkan, U. & Kesimal, A. Prediction of unconfined compressive strength of carbonate rocks using artificial neural networks. Environ Earth Sci 68, 807–819 (2013). https://doi.org/10.1007/s12665-012-1783-z

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