Technical Papers
Apr 5, 2023

Correlations between Uniaxial Compressive Strength and Dynamic Elastic Properties for Six Rock Types

Publication: International Journal of Geomechanics
Volume 23, Issue 6

Abstract

The assessment of the behavior of the ground is highly critical for any geotechnical and geological projects. Uniaxial compressive strength (UCS) is an essential mechanical parameter for any rock mass characterization, whereas the elastic properties of rocks help us understand the deformational behavior of the rocks. However, the determination of these parameters is challenging, time-consuming, destructive, and expensive and requires a skilled workforce. In contrast, the dynamic elastic properties require P-wave velocity (VP), S-wave velocity (VS), and density (ρ) for calculation, which are easy, quick, nondestructive, and cost-effective to determine. Therefore, in this paper, to understand the behavior of different rocks, UCS has been correlated with the dynamic elastic properties, including dynamic bulk modulus (KD), dynamic shear modulus (GD), dynamic Young’s modulus (ED), and dynamic Poisson’s ratio (µD) for carbonate, serpentinite, shale, sandstone, volcanite, and ignimbrite rocks incorporated from the databases of eight previous studies. Based on the lithology, different correlation equations have been proposed to predict the UCS from dynamic elastic properties using simple regression (SR) analysis. From SR analysis, it was observed that the coefficient of correlation (R) values depended on the type of rock. The R-values for the overall rocks, including all six rock types, for different correlations, were observed to be inferior to the R-values obtained on the basis of lithology. The principal component analysis (PCA) reduced the dimension of the data sets, and the trendline obtained for each rock type was observed to be dependent on the lithology. Moreover, descriptive statistics were also used to validate the lithological control for six different rock types.

Get full access to this article

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

Data Availability Statement

All data, models, and codes generated or used during the study appear in the published article.

Acknowledgments

The authors gratefully acknowledge help from IIT (ISM) Dhanbad. The authors would also like to thank the three anonymous reviewers for their critical suggestions to improve the paper.

References

Abd El-Aal, A. K., M. K. Salah, and M. A. Khalifa. 2020. “Acoustic and strength characterization of upper cretaceous dolostones from the Bahariya Oasis, Western Desert, Egypt: The impact of porosity and diagenesis.” J. Pet. Sci. Eng. 187: 106798. https://doi.org/10.1016/j.petrol.2019.106798.
Aboutaleb, S., M. Behnia, R. Bagherpour, and B. Bluekian. 2017. “Using non-destructive tests for estimating uniaxial compressive strength and static Young’s modulus of carbonate rocks via some modeling techniques.” Bull. Eng. Geol. Environ. 77: 1717–1728. https://doi.org/10.1007/s10064-017-1043-2.
Bar, N., and N. Barton. 2017. “The Q-slope method for rock slope engineering.” Rock Mech. Rock Eng. 50 (12): 3307–3322. https://doi.org/10.1007/s00603-017-1305-0.
Bieniawski, Z. T. 1973. “Engineering classification of jointed rock masses.” Trans. South Afr. Inst. Civ. Eng. 15: 335–344.
Davarpanah, S. M., P. Van, and B. Vasarhelyi. 2020. “Investigation of the relationship between dynamic and static deformation moduli of rocks.” Geomech. Geophys. Geo-Energy Geo-Resour. 6: 29. https://doi.org/10.1007/s40948-020-00155-z.
Diamantis, K., E. Gartzos, and G. Migiros. 2009. “Study on uniaxial compressive strength point, point load strength index, dynamic and physical properties of serpentinites from central Greece: Test results and empirical relations.” Eng. Geol. 108: 199–207. https://doi.org/10.1016/j.enggeo.2009.07.002.
Dincer, I., A. Acar, I. Cobanoglu, and Y. Uras. 2004. “Correlation between Schmidt hardness, uniaxial compressive strength and Young’s modulus for andesite, basalt and tuffs.” Bull. Eng. Geol. Environ. 63: 141–148. https://doi.org/10.1007/s10064-004-0230-0.
González, J., M. Saldaña, and J. Arzúa. 2019. “Analytical model for predicting the UCS from P-wave velocity, density, and porosity on saturated limestone.” Appl. Sci. 9 (23): 5265. https://doi.org/10.3390/app9235265.
Kahraman, S. 2001. “Evaluation of simple methods for assessing the uniaxial compressive strength of rock.” Int. J. Rock Mech. Min. Sci. 38: 981–994. https://doi.org/10.1016/S1365-1609(01)00039-9.
Kang, X., H. M. Sun, H. Luo, T. Dai, and R.-P. Chen. 2020. “A portable bender element-double cone penetration testing equipment for measuring stiffness and shear strength of in-situ soft soil deposits.” KSCE J. Civ. Eng. 24: 3546–3560. https://doi.org/10.1007/s12205-020-1696-4.
Kang, X., Z. Xia, R. Chen. 2019. “Measurement and correlations of K0 and Vs anisotropy of granular soils”. Proc. Inst. Civ. Eng. Geotech. Eng. 2020 173 (6): 546–561. https://doi.org/10.1680/jgeen.19.00162.
King, M. S. 1983. “Static and dynamic elastic properties of rocks from the Canadian shield.” Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 20 (5): 237–241. https://doi.org/10.1016/0148-9062(83)90004-9.
Majstorović, J., M. Gligorić, S. Lutovac, M. Negovanović, and L. Crnogorac. 2019. “Correlation of uniaxial compressive strength with the dynamic elastic modulus, P-wave velocity and S-wave velocity of different rock types.” Underground Min. Eng. 34: 11–25. https://doi.org/10.5937/PodRad1934011M.
Moradian, O. Z., and M. Behnia. 2009. “Predicting the unconfined compressive strength and static Young’s modulus of intact sedimentary rocks using the ultrasonic tests.” Int. J. Geomech. 9: 1–14. https://doi.org/10.1061/(ASCE)1532-3641(2009)9:1(14).
Najibi, A. R., M. Ghafoori, and G. R. Lashkaripour. 2015. “Empirical relations between strength and static and dynamic elastic properties of Asmari and Sarvak limestones, two main oil reservoirs in Iran.” J. Pet. Sci. Eng. 126: 78–82. https://doi.org/10.1016/j.petrol.2014.12.010.
Rahman, T., and K. Sarkar. 2021. “Lithological control on the estimation of uniaxial compressive strength by P-wave velocity using supervised and unsupervised learning.” Rock Mech. Rock Eng. 54: 3175–3191. https://doi.org/10.1007/s00603-021-02445-8.
Rahman, T., and K. Sarkar. 2022. “Estimating strength parameters of Lower Gondwana coal measure rocks under dry and saturated conditions.” J. Earth Syst. Sci. 131: 175. https://doi.org/10.1007/s12040-022-01920-2.
Rahman, T., K. Sarkar, and A. K. Singh. 2020. “Correlation of geomechanical and dynamic elastic properties with the P-wave velocity of Lower Gondwana coal measure rocks of India.” Int. J. Geomech. 20 (10): 04020189. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001828.
Romana, M. 1985. “New adjustment ratings for application of Bieniawski classification to slopes.” In Proc., Int. Symp. on Role of Rock Mechanics, 49–53. Rotterdam, Netherlands: A.A. Balkema.
Saldaña, M., J. González, I. Pérez-Rey, M. Jeldres, and N. Toro. 2020. “Applying statistical analysis and machine learning for modeling the UCS from P-wave velocity, density and porosity on dry travertine.” Appl. Sci. 10 (13): 4565. https://doi.org/10.3390/app10134565.
Sarkar, K., V. Vishal, and T. N. Singh. 2012. “An empirical correlation of index geomechanical parameters with the compressional wave velocity.” Geotech. Geol. Eng. 30: 469–479. https://doi.org/10.1007/s10706-011-9481-2.
Sharma, P. K., and T. N. Singh. 2008. “A correlation between P-wave velocity, impact strength index, slake durability index and uniaxial compressive strength.” Bull. Eng. Geol. Environ. 67: 17–22. https://doi.org/10.1007/s10064-007-0109-y.
Singh, H. O., T. A. Ansari, T. N. Singh, et al. 2022. “Development of statistical models to predict the mechanical properties of some metamorphic rocks from P-wave velocity and certain physical properties.” Geotech. Geol. Eng. 40: 4247–4268. https://doi.org/10.1007/s10706-022-02155-0.
Tugrul, A., and I. H. Zarif. 1999. “Correlation of mineralogical and textural characteristics with engineering properties of selected granitic rocks from Turkey.” Eng. Geol. 51: 303–317. https://doi.org/10.1016/S0013-7952(98)00071-4.
Wyering, L. D., M. C. Villeneuve, I. C. Wallis, P. A. Siratovich, B. M. Kennedy, D. M. Gravley, J. L. Cant. 2014. “Mechanical and physical properties of hydrothermally altered rocks, Taupo Volcanic Zone, New Zealand.” J. Volcanol. Geotherm. Res. 288: 76–93. https://doi.org/10.1016/j.jvolgeores.2014.10.008.
Yilmaz, I., and H. Sendir. 2002. “Correlation of Schmidt hardness with uniaxial compression strength and Young’s modulus in gypsum from Sivas (Turkey).” Eng. Geol. 66: 211–219. https://doi.org/10.1016/S0013-7952(02)00041-8.
Zhang, L. 2005. Engineering properties of rocks. Amsterdam, Netherlands: Elsevier.

Information & Authors

Information

Published In

Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 23Issue 6June 2023

History

Received: Mar 24, 2022
Accepted: Jan 6, 2023
Published online: Apr 5, 2023
Published in print: Jun 1, 2023
Discussion open until: Sep 5, 2023

Permissions

Request permissions for this article.

ASCE Technical Topics:

Authors

Affiliations

Dept. of Applied Geology, Indian Institute of Technology (Indian School of Mines) Dhanbad, Jharkhand 826004, India. ORCID: https://orcid.org/0000-0002-8716-6681. Email: [email protected]
Dept. of Applied Geology, Indian Institute of Technology (Indian School of Mines) Dhanbad, Jharkhand 826004, India (corresponding author). ORCID: https://orcid.org/0000-0002-2491-0012. Email: [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.

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