Prediction of uniaxial compressive strength of carbonate rocks from nondestructive tests using multivariate regression a
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ORIGINAL PAPER
Prediction of uniaxial compressive strength of carbonate rocks from nondestructive tests using multivariate regression and LS-SVM methods Sefer Beran Çelik 1 Received: 27 June 2018 / Accepted: 1 February 2019 # Saudi Society for Geosciences 2019
Abstract Uniaxial compressive strength (UCS) value of a rock material is one of the most important design parameters in engineering practice and related fields of geosciences. Through this importance, prediction of UCS values of rock materials from nondestructive quicker and simpler tests are widely preferred. The aim of this study is to predict the UCS values of five carbonate rock groups including marble, dolomite, two limestones, and travertine from longitudinal ultrasonic wave velocity (Vp), Schmidt hardness rebound number (SHR), and cubic sample sizes (L). For this aim, a total of 90 cubic samples with 7, 9, and 11 cm edge sizes were prepared. Chemical, petrographical, and basic physical properties of the sample groups were investigated. After Vp and SHR values, UCS values of all samples were determined. By using multivariate regression analyses (MR), different UCS prediction equations from dry unit weight (γd), Vp, SHR, and also L values were proposed. Prediction performances of proposed model in which Vp, SHR, and L are input parameters was also analyzed by least square support vector machines (LS-SVM) method. Prediction performances of the MR and LS-SVM models were analyzed by coefficient of determination (R2), efficiency (E), and root mean square error (RMSE) performance measures. These values were calculated as 0.867, 0.799, and 16.616 respectively for the LS-SVM model and 0.781, 0.749, and 18.561 respectively for the MR model. The LS-SVM method was found to be successful in the prediction of the UCS values from nondestructive test data of carbonate rocks. Keywords Uniaxial compressive strength . Schmidt hammer rebound values . Ultrasonic wave velocity . Carbonate rocks . LS-SVM method
Introduction UCS value is one of the most important quality and design parameters in engineering geological characterization of rock materials. Hydraulic compression testing systems are used in UCS tests and carefully prepared large number of samples are needed; thus, direct determination of UCS values are more expensive and time consuming compared to indirect nondestructive quicker and simpler tests (Cargill and Shakoor 1990; Fener et al. 2005). Therefore, prediction of UCS values from practical and economical nondestructive test methods and also Editorial handling: Ali Karrech * Sefer Beran Çelik [email protected] 1
Faculty of Engineering, Department of Geological Engineering, Pamukkale University, Kınıklı, 20160 Denizli, Turkey
from basic physical test methods has great importance in many fields of geosciences and engineering. Carbonate rocks are the most common rock type used as natural building stone in construction and building industry. In some cases, direct determination of UCS value of carbonate rock materials can be difficult especially in field studies
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