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Fuzzy and Multiple Regression Modelling for Evaluation of Intact Rock Strength Based on Point Load, Schmidt Hammer and Sonic Velocity

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Summary.

Uniaxial Compressive Strength (UCS), considered to be one of the most useful rock properties for mining and civil engineering applications, has been estimated from some index test results by fuzzy and multiple regression modelling. Laboratory investigations including Uniaxial Compressive Strength (UCS), Point Load Index test (PL), Schmidt Hammer Hardness test (SHR) and Sonic velocity (Vp) test have been carried out on nine different rock types yielding to 305 tested specimens in total. Average values along with the standard deviations (Stdev) as well as Coefficients of variation (CoV) have been calculated for each rock type. Having constructed the Mamdani Fuzzy algorithm, UCS of intact rock samples was then predicted using a data driven fuzzy model. The predicted values derived from fuzzy model were compared with multi-linear statistical model. Comparison proved that the best model predictions have been achieved by fuzzy modelling in contrast to multi-linear statistical modelling. As a result, the developed fuzzy model based on point load, Schmidt hammer and sonic velocity can be used as a tool to predict UCS of intact rocks.

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References

  • Babuska, R. (1998): Fuzzy modeling for control, Kluwer Academic Pub, Boston, 288.

  • S. Baglio L. Fortuna S. Graziani C. Muscato (1994) ArticleTitleMembership Function shape and the dynamic behaviour of fuzzy systems. Int. J. Adapt. Control Signal Proc. 8 369–377

    Google Scholar 

  • E. Broch J. A. Franklin (1972) ArticleTitlePoint-load strength test. Int. J. Rock Mech. Min. Sci. 9 IssueID6 669–697 Occurrence Handle10.1016/0148-9062(72)90030-7

    Article  Google Scholar 

  • E. Broch (1983) ArticleTitleEstimation of strength anisotropy using the point-load test. Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 20 IssueID4 181–187 Occurrence Handle10.1016/0148-9062(83)90942-7

    Article  Google Scholar 

  • K. T. Chau R. H. C. Wong (1996) ArticleTitleUniaxial compressive strength and point load strength of rocks. Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 33 IssueID2 183–188 Occurrence Handle10.1016/0148-9062(95)00056-9

    Article  Google Scholar 

  • C. Gokceoglu K. Zorlu (2004) ArticleTitleA fuzzy model to predict the uniaxial compressive strength and the modulus of elasticity of a problematic rock. Engng. Appl. Artific. Intell. 17 IssueID1 61–72

    Google Scholar 

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

    Google Scholar 

  • Grima, A. M. (2000): Neuro-fuzzy modelling in engineering geology. Balkema, Rotterdam, 244.

  • Hellendorn, H., Thomas, C. (1993) Defuzzification in fuzzy controllers. Intelligent and fuzzy systems, vol. 1, 109–123.

  • InstitutionalAuthorNameISRM (1972) ArticleTitleSuggested methods for determining the point load strength index of rock materials. ISRM Comm. on Standard. of Lab. Tests. 1 8–13

    Google Scholar 

  • InstitutionalAuthorNameISRM (1978) ArticleTitleSuggested methods for determining sound velocity. Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 15 53–58

    Google Scholar 

  • InstitutionalAuthorNameISRM (1979) ArticleTitleSuggested methods for determining the uniaxial compressive strength and deformability of rock materials. Int. J. Rock Mech. Min. Sci. Geomech. Abst. 16 IssueID2 135–140

    Google Scholar 

  • ISRM (1981): Brown, E. T. (ed.), Suggested methods: rock characterization, testing and monitoring. Pergamon Press, Oxford, 211.

  • InstitutionalAuthorNameISRM (1985) ArticleTitleSuggested methods for determining point-load strength. Int. J. Rock Mech. Min. Sci. 22 53–60

    Google Scholar 

  • S. Kahraman (2001) ArticleTitleEvaluation of simple methods for assessing the uniaxial compressive strength of rock. Int. J. Rock Mech. Min. Sci. 38 981–994

    Google Scholar 

  • O. Katz Z. Reches J. C. Roegiers (2000) ArticleTitleEvaluation of mechanical rock properties using a Schmidt Hammer. Int. J. Rock Mech. Min. Sci. 37 723–728

    Google Scholar 

  • A. Kayabasi C. Gokceoglu M. Ercanoglu (2002) ArticleTitleEstimating the deformation modulus of rock masses: a comparative study. Int. J. Rock Mech. Min. Sci. 40 55–63

    Google Scholar 

  • E. C. Koncagül P. M. Santi (1999) ArticleTitlePredicting the unconfined compressive strength of the Breathitt shale using slake durability, shore hardness and rock structural properties. Int. J. Rock Mech. Min. Sci. 36 IssueID2 139–153

    Google Scholar 

  • Piegat, A. (2001): Fuzzy modelling and control. Physica-Verlag, Heidelberg, 742.

  • Ross, T. J. (1995): Fuzzy logic with engineering applications. McGraw-Hill Inc., New York, 600.

  • M. Setnes R. Babuska H. B. Verbruggen (1998) ArticleTitleRule-based modelling: precision and transparency. IEEE Transactions on systems man and cybernetics, part C 28 165–169

    Google Scholar 

  • V. K. Singh D. P. Singh (1993) ArticleTitleCorrelation between point load index and compressive strength for quartzite rocks. Geotech. Geol. Engng. 11 IssueID4 269–272

    Google Scholar 

  • H. Sonmez C. Gokceoglu R. Ulusay (2003) ArticleTitleAn application of fuzzy sets to the geological strength index (GSI) system used in rock engineering. Engng. Appli. Artific. Intell. 16 IssueID3 251–269

    Google Scholar 

  • Srivastava, M. S. (2002): Methods of multivariate statistics. John Wiley, New York, 728.

  • Vallejo, L. E., Welsh, R. A., Robinson, M. K. (1989): Correlation between unconfined compressive and point load strengths for Appalachian rocks. In: Proc. 30th U.S. Symposium on Rock Mechanics as a Guide for Efficient Utilization of Natural Resources, Morgantown, 461–468.

  • Xu, S., Grasso, P., Mahtab, A. (1990): Use of Schmidt hammer for estimating mechanical properties of weak rock. 6th International IAEG Congress, Balkema, Rotterdam, vol. 1, 511–519.

  • L. A. Zadeh (1965) ArticleTitleFuzzy sets. Information Control 8 338–353 Occurrence Handle10.1016/S0019-9958(65)90241-X

    Article  Google Scholar 

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Authors and Affiliations

  1. Mining Engineering Department, Inonu University, Malatya, Turkey

    M. Karakus & B. Tutmez

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  1. M. Karakus
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  2. B. Tutmez
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Karakus, M., Tutmez, B. Fuzzy and Multiple Regression Modelling for Evaluation of Intact Rock Strength Based on Point Load, Schmidt Hammer and Sonic Velocity. Rock Mech. Rock Engng. 39, 45–57 (2006). https://doi.org/10.1007/s00603-005-0050-y

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  • DOI: https://doi.org/10.1007/s00603-005-0050-y

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