Determining the relationship between shear wave velocity and physicomechanical properties of rocks

Document Type : Research Paper


Department of Mining Engineering, Faculty of Engineering, University of Kurdistan, Sanandaj, Iran


Thorough knowledge of physicomechanical properties of rocks is crucial during the primary and secondary stages of designing a rock engineering project. Laboratory examination of these properties requires high-quality rock specimens. However, preparing such high accuracy samples is a difficult, expensive, and time-consuming task, especially in weak and fractured rocks. Hence, indirect approaches seem an attractive research area for determining these properties. The main object of this study is to develop some empirical relations to determine different physical and mechanical properties of sedimentary and metamorphic rocks based on the shear wave velocity index. To do that, several schist, phyllite, and sandstone core samples were collected from the drilled boreholes in the Marivan Azad dam in western Iran. Then, the shear wave velocity and some physical and mechanical properties of rocks were measured in dry and saturated conditions. Subsequently, statistical analyses were conducted to develop shear wave velocity-based equations to determine different rock properties, including uniaxial compressive strength, modulus of elasticity, porosity, Poisson’s ratio, slake durability index, density, and water absorption. An equation with the maximum correlation coefficient was proposed as the optimum equation to determine each of the above rock properties. Finally, the results of the proposed empirical equations were compared with those of laboratory measurements. This comparison proved the proposed equations to have high accuracy for determining the physicomechanical properties of rocks and can be used in practical projects with similar geological conditions to save time and money.


[1] Hudson, T.A., Jones, E.T.W., New, B.M. (1980). P-wave velocity measurements in a machine bored chalk tunnels. Quarterly Journal of Engineering Geology and Hydrogeology, 13(1), 33–43.
[2] Young, R.P., Hill, T.T., Bryan, I.R. and Middleton, R. (1985). Seismic spectroscopy in fracture characterization. Quarterly Journal of Engineering Geology and Hydrogeology, 18, 59–479.
[3] Karpuz, C., Pasamehmetoglu, A.G. (1997). Field characterization of weathered Ankara andesites. Engineering Geology, 46(1), 1–17.
[4] Boadu, F.K. (1997). Fractured rock mass characterization parameters and seismic properties: analytical studies. Journal of Applied Geophysics, 36, 1–19.
[5] Singh, R., Kainthola, A., Singh, T.N. (2012). Estimation of elastic constant of rocks using an ANFIS approach. Applied Soft Computing, 12(1), 40–45.
[6] Seredkina, A., Kozhevnikov, V., Melnikova, V., Solovey, O. (2016). Seismicity and S-wave velocity structure of the crust and the upper mantle in the Baikal rift and adjacent regions. Physics of the Earth and Planetary Interiors, 261, 152–160.
[7] Vajdová, V., Přikryl, R., Pros, Z., Klíma, K. (1999). The effect of rock fabric on P-wave velocity distribution in amphibolites. Physics of the Earth and Planetary Interiors, 114, 39–47.
[8] Azimian, A., Ajalloeian, R. (2015). Empirical correlation of physical and mechanical properties of marly rocks with P wave velocity. Arabian Journal of Geosciences, 8(4), 2069–2079.
[9] Kurtuluʂ, C., Sertçelik, F., Sertçelik, I. (2016). Correlating physico[1]mechanical properties of intact rocks with P-wave velocity. Acta Geodaetica et Geophysica, 51(3), 571–582.
[10] Chang, .C, Zoback, M.D., Khaksar, A. (2006). Empirical relations between rock strength and physical properties in sedimentary rocks. Journal of Petroleum Science and Engineering, 51(3-4), 223– 237.
[11] Ameen, M.S., Smart, B.G.D., Somerville, J.M.C., Hammilton, S., Naji, N.A. (2009). Predicting rock mechanical properties of carbonates from wireline logs (a case study: Arab-D reservoir, Ghawar field, Saudi Arabia). Marine and Petroleum Geology, 26, 430–444.
[12] Carroll, R.D. (1969). The determination of acoustic parameters of volcanic rocks from compressional velocity measurements. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, 6, 557–579.
[13] Castagna, J.P., Batzle, M.L., Kan, T.K. (1993). Rock physics—the link between rock properties and AVO response. In: Castagna JP, Backus MM (eds) Offset-dependent reflectivity—theory and practice of AVO analysis. Society of Exploration Geophysicists, 124–157.
[14] Yasar, E., Erdogan,Y. (2004). Correlating sound velocity with the density, compressive strength and Young’s modulus of carbonate rocks. International Journal of Rock Mechanics and Mining Sciences, 41(5), 871–875.
[15] Brocher, T.M. (2005). Empirical relations between elastic wave speed and density in the earth’s crust. Bulletin of the Seismological Society of America, 95(6), 2081–2092.
[16] Brocher, T.M. (2008). Key elements of regional seismic velocity models for long period ground motion simulations. Journal of Seismology, 12(2), 217–221.
[17] Domenico, S.N. (1984). Rock lithology and porosity determination from shear and compressional wave velocity. Geophysics, 49, 1188– 1195.
[18] Vasconcelos, G., Lourenço, P.B. Alves, C.A.S., Pamplona, J. (2008). Ultrasonic evaluation of the physical and mechanical properties of granites. Ultrasonics, 48, 453–466.
[19] Wang, Q., Ji, S., Sun, S., Marcotte, D. (2009). Correlations between compressional and shear wave velocities and corresponding Poisson's ratios for some common rocks and sulfide ores. Tectonophysics, 469(1-4), 61–72.
[20] Liu, Y, Chen, Z., Hu, K. (2012). Shear velocity prediction and its rock mechanic implications. In: Proceeding of GeoConvention. Canadian Society of Petroleum Geologists, Galgary.
[21] Vasanelli, E., Colangiuli, D., Calia, A., Sileo, M., Aiello, M.A. (2015). Ultrasonic pulse velocity for the evaluation of physical and mechanical properties of a highly porous building limestone. Ultrasonics, 60, 33–40.
 [22] Özkan İ., Yayla, Z. (2016). Evaluation of correlation between physical properties and ultrasonic pulse velocity of fired clay samples. Ultrasonics, 66, 4–10.
[23] Lin, J.Y., Hsu, S.K., Lin, A.T.S., Yeh, Y.C., Lo, C.L. (2016). Vp/Vs distribution in the northern Taiwan area: Implications for the tectonic structures and rock property variations. Tectonophysics, 692(Part B), 181–190.
[24] Hanm, T. (2016). A simple way to model the pressure dependency of rock velocity. Tectonophysics, 675(22), 1–6.
[25] Saito, S., Ishikawa M., Arima M., Tatsumi Y. (2016). Laboratory measurements of Vp and Vs in a porosity-developed crustal rock: Experimental investigation into the effects of porosity at deep crustal pressures. Tectonophysics, 677–678, 218–226.
[26] Aalianvari, A., Katibeh, H., Sharifzadeh, M. (2010). A new approach for computing permeability of fault zones case study: the upper reservoir of Azad pumped-storage power station in Iran. Archive Mining Sciences, 55(3), 605–621.
[27] ASTM. (2001). Standard practice for preparing rock core specimens and determining dimensional and shape tolerances. American Society for Testing and Materials.
[28] ISRM. (2007). The Complete ISRM Suggested Methods for Rock Characterization, Testing and Monitoring: 1974-2006, (Ulusay, R. and Hudson, J.A., Editors), Kozan Ofset Matbaacılık. Ankara.
[29] ISRM. (1979). Suggested method for determining water content, porosity, density, absorption and related properties and swelling and slake durability index properties. International Journal of Rock Mechanics and Mining Science, 16, 141–156.
[30] Kern, H., Liu, B., Popp, T. (1997). Relationship between anisotropy of P- and S-wave velocities and anisotropy of attenuation in serpentinite and amphibolite. Journal of Geophysical Research, 102, 3051–3065.
[31] Wang, C., Lin, W., Wenk, H. (1975). The effects of water and 72 M. Rezaei et al. / Int. J. Min. & Geo-Eng. (IJMGE), 55-1 (2021) 65-72 pressure on velocities of elastic waves in a foliated rock. Journal of Geophysical Research Atmospheres, 80(8), 1065–1069.
[32] Kassab, M.A., Weller, A. (2015). Study on P-wave and S-wave velocity in dry and wet sandstones of Tushka region, Egypt. Egyptian Journal of Petroleum, 24(1), 1–11