Technical Notes
Jun 30, 2016

Correlations of Uniaxial Compressive Strength of Rock Mass with Conventional Strength Properties through Random Number Generation

Publication: International Journal of Geomechanics
Volume 17, Issue 2

Abstract

There has been a lot of interest in the relationship between uniaxial compressive strength (UCS) and other properties of rock. Evaluation of rock parameters such as cohesion, Young’s modulus, angle of friction, and Poisson’s ratio is required for numerical modeling of rock. Finding empirical relations between these parameters with UCS has been focused. On the basis of the ranges of UCS available in the literature for different types of rocks, 14 empirical relations were developed on the basis of a random number–generation technique, and the relations were validated with available experimental data. The proposed relations were compared with available empirical equations in the literature. The proposed relations can be used to solve various problems in rocky sites by numerical modeling with acceptable accuracy. These results will also be useful in making practical decisions at the stage of preliminary site investigation works.

Get full access to this article

View all available purchase options and get full access to this article.

References

Ankoglu, E., and Tokgoz, N. (1992). “Regression analysis between elasticity modulus and uniaxial compressive strength of the sedimentary rocks.” Bull. Rock Mech., 7–8, 5–15.
Arslan, A. T., Koca, M. Y., Aydogmus, Klapperich, H., and Yilmaz, H. R. (2008). “Technical note on correlation of unconfined compressive strength with Young’s modulus and Poisson’s ratio in gypsum from Sivas (Turkey).” Rock Mech. Rock Eng., 41(6), 941–950.
Bell, F. G. (1983). Engineering properties of soil and rocks, Butterworths, London.
Bell, F. G. (2007). Engineering geology, 2nd Ed., Elsevier Limited, Oxford, U.K.
BIS (Bureau of Indian Standards). (1998). “Quantitative classification systems of rock mass—Guidelines: Rock mass rating (RMR) for predicting engineering properties.” 13365 Part 1, New Delhi, India.
Bowles, J. E. (1997). Foundation analysis and design, 5th Ed., McGraw Hill Book Company, New York.
Chang, C., Zoback, M. D., and Khaksar, A. (2006). “Empirical relations between rock strength and physical properties in sedimentary rocks.” J. Pet. Sci. Eng., 51(3–4), 223–237.
CurveExpert 1.37 (2001). D. G. Hyams, Madison, AL.
Dennis, R. D., Hroring, F. G., and Hooker, E. V. (1982). Mechanical properties of oil shale and overlying strata, naval oil shale reserve, anvil points, U.S. Dept. of the Interior, Bureau of Mines, Washington, DC, 1–43.
Dhir, R. K., and Sangha, C. M. (1978). “Rock strength.” Colliery Guardian, May, 225–256.
Dincer, I., Acar, A., Cobanoglu, I., and Uras, Y. (2004). “Correlation between Schmidt hardness, uniaxial compressive strength and Young’s modulus for andesites, basalts and tuffs.” Bull. Eng. Geol. Environ., 63(2), 141–148.
Hoek, E., and Brown, E. T. (1997). “Practical estimates of rock mass strength.” Int. J. Rock Mech. Min. Sci., 34(8), 1165–1186.
Hoek, E., Marinos, P., and Benissi, M. (1998). “Applicability of the geological strength index (GSI) classification for weak and sheared rock masses—The case of the Athens schist formation.” Bull. Eng. Geol. Environ., 57(2), 151–160.
Horsrud, P. (2001). “Estimating mechanical properties of shale from empirical correlations.” SPE Drill.Complet. 16(2), 68–73.
Inoue, M., and Ohomi, M. (1981). “Relation between uniaxial compressive strength and elastic wave velocity of soft rock.” Proc., Int. Symp. on Weak Rock, Balkema, Rotterdam, Netherlands, 9–13.
Kahraman, S. (2001). “Evaluation of simple methods for assessing the uniaxial compressive strength of rock.” Int. J. Rock Mech. Min. Sci., 38(7), 981–994.
Khandelwal, M. (2013). “Correlating P-wave velocity with the physico-mechanical properties of different rocks.” Pure Appl. Geophys., 170(4), 507–514.
Kumar, R., Choudhury, D., and Bhargava, K. (2012). “Response of foundations subjected to blast loadings: State of the art review.” Disaster Adv., 5(1), 54–63.
Kumar, R., Choudhury, D., and Bhargava, K. (2014a). “Prediction of blast induced vibration parameters for soil sites.” Int. J. Geomech., 14(3), 1–10.
Kumar, R., Choudhury, D., and Bhargava, K. (2014b). “Response of shallow foundation in rocks subjected to underground blast loading using FLAC3D.” Disaster Adv., 7(2), 64–71.
Kumar, R., Choudhury, D., and Bhargava, K. (2015). “Simulation of rock subjected to underground blast using FLAC3D.” Japanese Geotechnical Society Special Publication, Section 1. Characterization-Rock and Expansive Soil, 15th Asian Regional Conf. on Soil Mechanics and Geotechnical Engineering, Vol. 2, Japanese Geotechnical Society, Tokyo, 508–511.
Kumar, R., Choudhury, D., and Bhargava, K. (2016). “Determination of blast induced ground vibration equations for rocks using mechanical and geological properties.” J. Rock Mech. Geotech. Eng., 8(3), 341–349.
Lama, R. D., and Vutukuri, V. S. (1978). Handbook on Mechanical Properties of Rocks., Vol. II, Trans Tech Publications, Clausthal, Germany.
Mckay, M. D., Bechman, R. J., and Conover, W. J. (1979). “A comparison of three methods for selecting values of input variables in the analysis of output from a computer code.” Technometrics, 21(2), 239–245.
Mishra, A., and Marangos, O. (2011). “Rock joint micromechanics: Relationship of roughness to closure and wave propagation.” Int. J. Geomech., 431–439.
Moradian, Z. A., and Behnia, M. (2009). “Predicting the uniaxial compressive strength and static Young’s modulus of intact sedimentary rocks using the ultrasonic test.” Int. J. Geomech., 14–19.
Rohde, J., and Feng, H. (1990). “Analysis of the variability of unconfined compression tests of rock.” Rock Mech. Rock Eng., 23(3), 231–236.
Sachpazis, C. I. (1990). “Correlating Schmidt hardness with compressive strength and Young’s modulus carbonate rocks.” Bull. Int. Assoc. Eng. Geol., 42(1), 75–83.
Sridevi, J., and Sitharam, T. G. (2000). “Analysis of strength and moduli of jointed rocks.” Geotech. Geol. Eng., 18(1), 3–21.
Sridevi, J., and Sitharam, T. G. (2003). “Characterization of strength and deformation of jointed rock mass based on statistical analysis.” Int. J. Geomech., 3(1), 43–54.
Tziallas, G. P., Tsiambaos, G., and Saroglou, H. (2009). “Determination of rock strength and deformability of intact rocks.” Electron. J. Geotech. Eng., 14, 1–12.
Vernik, L., Bruno, M., and Boverg, C. (1993). “Empirical relations between compressive strength and porosity of siliciclastic rocks.” Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 30(7), 677–680.
Wilson, A. H. (1980). “Stability of underground working in the soft rocks of coal measures.” Ph.D. thesis, Univ. of Nottingham, Nottingham, U.K.
Wuerker, R. G. (1959). “The shear strength of rocks.” Min. Eng., 1022–1026.
Yagiz, S. (2011). “P-wave velocity test for assessment of geotechnical properties of some rock materials.” Bull. Mater. Sci., 34(4), 947–953.
Yasar, E., and Erdogan, Y. (2004). “Correlating sound velocity with the density, compressive strength and Young’s modulus of carbonate rocks.” Int. J. Rock Mech. Min. Sci., 41(5), 871–875.
Yilmaz, I., and Sendir, H. (2002). “Correlation of Schmidt hardness with unconfined compressive strength and Young’s modulus in gypsum from Sivas (Turkey).” Eng. Geol., 66, 211–219.

Information & Authors

Information

Published In

Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 17Issue 2February 2017

History

Received: Apr 7, 2014
Accepted: Apr 7, 2016
Published online: Jun 30, 2016
Discussion open until: Nov 30, 2016
Published in print: Feb 1, 2017

Permissions

Request permissions for this article.

Authors

Affiliations

Ranjan Kumar, S.M.ASCE [email protected]
Scientific Officer/F, Civil Engineering Division, Bhabha Atomic Research Centre, Mumbai 400085, India; and Formerly, Ph.D. Student, Dept. of Civil Engineering, Indian Institute of Technology Bombay, Powai, Mumbai 400076, India. E-mail: [email protected]
Kapilesh Bhargava [email protected]
Assistant General Manager, Nuclear Recycle Board, Bhabha Atomic Research Centre, Mumbai 400085, India; and Associate Professor, Homi Bhabha National Institute, Mumbai, Maharashtra 400094, India. E-mail: [email protected]
Deepankar Choudhury, M.ASCE [email protected]
Professor, Dept. of Civil Engineering, Indian Institute of Technology Bombay, Powai, Mumbai 400076, India; and Adjunct Professor, Academy of Scientific and Innovative Research (AcSIR), New Delhi, Delhi 110020, India (corresponding author). E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share