Application of Generalized Regression Neural Networks in Predicting the Unconfined Compressive Strength of Carbonate Rocks

Measuring unconfined compressive strength (UCS) using standard laboratory tests is a difficult, expensive, and time-consuming task, especially with highly fractured, highly porous, weak rock. This study aims to establish predictive models for the UCS of carbonate rocks formed in various facies and exposed in Tasonu Quarry, northeast Turkey. The objective is to effectively select the explanatory variables from among a subset of the dataset containing total porosity, effective porosity, slake durability index, and P-wave velocity in dry samples and in the solid part of samples. This was based on the adjusted determination coefficient and root-mean-square error values of different linear regression analysis combinations using all possible regression methods. A prediction model for UCS was prepared using generalized regression neural networks (GRNNs). GRNNs were preferred over feed-forward back-propagation algorithm-based neural networks because there is no problem of local minimums in GRNNs. In this study, as a result of all possible regression analyses, alternative combinations involving one, two, and three inputs were used. Through comparison of GRNN performance with that of feed-forward back-propagation algorithm-based neural networks, it is demonstrated that GRNN is a good potential candidate for prediction of the unconfined compressive strength of carbonate rocks. From an examination of other applications of UCS prediction models, it is apparent that the GRNN technique has not been used thus far in this field. This study provides a clear and practical summary of the possible impact of alternative neural network types in UCS prediction.

[1]  Candan Gokceoglu,et al.  A fuzzy model to predict the uniaxial compressive strength and the modulus of elasticity of a problematic rock , 2004, Eng. Appl. Artif. Intell..

[2]  Ab Hawkins,et al.  Influence of geology on geomechanical properties of sandstones , 1991 .

[3]  Murat Pala,et al.  Tensile strength of basalt from a neural network , 2007 .

[4]  Manuel Romana,et al.  Correlation Between Uniaxial Compressive And Point-load (Franklin Test) Strengths For Different Rock Classes , 1999 .

[5]  Candan Gokceoglu,et al.  A comparative study on indirect determination of degree of weathering of granites from some physical and strength parameters by two soft computing techniques , 2009 .

[6]  A. Shakoor,et al.  Relationship Between Petrographic Characteristics, Engineering Index Properties, and Mechanical Properties of Selected Sandstones , 1991 .

[7]  T. Onargan,et al.  Mechanical property degradation of ignimbrite subjected to recurrent freeze–thaw cycles , 2004 .

[8]  Allen W. Hatheway,et al.  The Complete ISRM Suggested Methods for Rock Characterization, Testing and Monitoring; 1974–2006 , 2009 .

[9]  Michael H. Kutner Applied Linear Statistical Models , 1974 .

[10]  Candan Gokceoglu,et al.  A fuzzy triangular chart to predict the uniaxial compressive strength of the Ankara agglomerates from their petrographic composition , 2002 .

[11]  Robert Babuška,et al.  Fuzzy model for the prediction of unconfined compressive strength of rock samples , 1999 .

[12]  Hikmet Kerem Cigizoglu,et al.  Generalized regression neural network in monthly flow forecasting , 2005 .

[13]  A. McQuarrie,et al.  Regression and Time Series Model Selection , 1998 .

[14]  Martin Fodslette Meiller A Scaled Conjugate Gradient Algorithm for Fast Supervised Learning , 1993 .

[15]  N. Brook The equivalent core diameter method of size and shape correction in point load testing , 1985 .

[16]  Ebru Akcapinar Sezer,et al.  Modeling of the uniaxial compressive strength of some clay-bearing rocks using neural network , 2011, Appl. Soft Comput..

[17]  E. T. Brown Rock characterization, testing & monitoring: ISRM suggested methods , 1981 .

[18]  H.R.G.K. Hack,et al.  ESTIMATING THE INTACT ROCK STRENGTH OF A ROCK MASS BY SIMPLE MEANS , 2002 .

[19]  İ. Çobanoğlu,et al.  Estimation of uniaxial compressive strength from point load strength, Schmidt hardness and P-wave velocity , 2008 .

[20]  C. Gokceoğlu,et al.  Models to predict the uniaxial compressive strength and the modulus of elasticity for Ankara Agglomerate , 2004 .

[21]  Subhash Sharma Applied multivariate techniques , 1995 .

[22]  S. Kahraman,et al.  Estimating unconfined compressive strength and elastic modulus of a fault breccia mixture of weak blocks and strong matrix , 2006 .

[23]  S. Kahraman,et al.  Evaluating the strength and deformability properties of Misis fault breccia using artificial neural networks , 2009, Expert Syst. Appl..

[24]  Tao Ji,et al.  A concrete mix proportion design algorithm based on artificial neural networks , 2006 .

[25]  S. Kahraman Evaluation of simple methods for assessing the uniaxial compressive strength of rock , 2001 .

[26]  Donald F. Specht,et al.  A general regression neural network , 1991, IEEE Trans. Neural Networks.

[27]  T. N. Singh,et al.  Prediction of strength properties of some schistose rocks from petrographic properties using artificial neural networks , 2001 .

[28]  Işık Yilmaz,et al.  Use of the core strangle test for tensile strength estimation and rock mass classification , 2010 .

[29]  Christopher Mark,et al.  In situ estimation of roof rock strength using sonic logging , 2010 .

[30]  J. Franklin,et al.  The slake-durability test , 1972 .

[31]  I. Yilmaz,et al.  Prediction of the strength and elasticity modulus of gypsum using multiple regression, ANN, and ANFIS models , 2009 .

[32]  Ebru Akcapinar Sezer,et al.  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 , 2012 .

[33]  Kripamoy Sarkar,et al.  Estimation of strength parameters of rock using artificial neural networks , 2010 .

[34]  L. Dobereiner,et al.  GEOTECHNICAL PROPERTIES OF WEAK SANDSTONES , 1986 .

[35]  Candan Gokceoglu,et al.  Draft ISRM suggested method for determining block punch strength index (BPI) , 2001 .

[36]  M. Møller A Scaled Conjugate Gradient Algorithm for Fast Supervised Learning , 1990 .

[37]  Candan Gokceoglu,et al.  Prediction of uniaxial compressive strength of sandstones using petrography-based models , 2008 .

[38]  I. Yılmaz,et al.  An Example of Artificial Neural Network (ANN) Application for Indirect Estimation of Rock Parameters , 2008 .

[39]  T. Singh,et al.  Study of Transmission Velocity of Primary Wave (P-wave) in Coal Measure Sandstone , 2000 .

[40]  V. Barnett,et al.  Applied Linear Statistical Models , 1975 .

[41]  S. Kahraman,et al.  The usability of Cerchar abrasivity index for the prediction of UCS and E of Misis Fault Breccia: Regression and artificial neural networks analysis , 2010, Expert Syst. Appl..

[42]  M. Grima,et al.  Application of neural networks for the prediction of the unconfined compressive strength (UCS) from Equotip hardness , 1999 .

[43]  Nurcihan Ceryan,et al.  A new quantitative weathering classification for igneous rocks , 2008 .

[44]  U. Okkan,et al.  Reservoir inflow modeling with artificial neural networks: the case of Kemer Dam in Turkey. , 2011 .

[45]  Kamil Kayabali,et al.  Nail penetration test for determining the uniaxial compressive strength of rock , 2010 .

[46]  M. Zoback,et al.  Empirical relations between rock strength and physical properties in sedimentary rocks , 2006 .

[47]  R. Ulusay,et al.  Prediction of engineering properties of a selected litharenite sandstone from its petrographic characteristics using correlation and multivariate statistical techniques , 1994 .

[48]  F. Bell The physical and mechanical properties of the fell sandstones, Northumberland, England , 1978 .

[49]  Lale Özbakir,et al.  Prediction of compressive and tensile strength of limestone via genetic programming , 2008, Expert Syst. Appl..

[50]  A. Temel,et al.  Zeolite occurrences and the erionite-mesothelioma relationship in Cappadocia, central Anatolia, Turkey , 1996 .

[51]  Marian Marschalko,et al.  Neural computing models for prediction of permeability coefficient of coarse-grained soils , 2012, Neural Computing and Applications.

[52]  A. R. Harrison,et al.  Standardized principal components , 1985 .

[53]  M. Fahy,et al.  Estimating Strength of Sandstone Using Petrographic Thin-Section Data , 1979 .