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Geotechnical and Geological Engineering

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29-05-2023 | Original Paper

Prediction of Strength and Modulus of Jointed Rocks Using P-wave Velocity

Authors: Mahendra Singh, Phibe Khalkho

Published in: Geotechnical and Geological Engineering | Issue 6/2023

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Abstract

Strength and deformation characteristics of jointed rocks are important parameters for the design of many civil and mining engineering structures. These parameters are difficult to obtain from direct testing of jointed rocks; hence it is usual practice to derive them through indirect approaches. In the present study, an attempt is made to obtain rough estimates of strength and modulus of jointed rocks through P wave velocity. Jointed specimens of a model rock were prepared for laboratory testing. Joints at different orientations and comprising of different joint roughness coefficients were used (JRC \(=\) 2–4, 12–14 and 14–16). Ultrasonic P-wave velocity and UCS tests were conducted on the specimens. The effect of joint orientation and joint wall roughness on P-wave velocity was studied. An index, Joint Factor was used to quantify the effect of joint attributes on strength and modulus of jointed rock. It was observed that P-wave velocity is closely linked with Joint Factor. This study suggests a correlation to obtain Joint Factor J_f from P-wave velocity. P-wave velocity may be measured in the field and J_f may be computed through the suggested correlation. The computed J_f may then be used to get the strength and modulus values of jointed rocks. Charts are also suggested to roughly assess the shear strength parameters, c_mass and ϕ_mass of the jointed rock.

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Altındağ R, Güney A (2005) Evaluation of the relationships between P-wave velocity (V_P) and joint density. In: Proceedings of the 19th Int Min Cong and Fair of Turkey, IMCET

Barton N, Choubey V (1977) The shear strength of rock joints in theory and practice. Rock Mechanics Felsmechanik Mécanique Des Roches 10(1–2):1–54CrossRef

Bhasin R, Kaynia AM (2004) Static and dynamic simulation of a 700-m high rock slope in western Norway. Eng Geol 71:213–226. https://doi.org/10.1016/S0013-7952(03)00135-2CrossRef

Boadu FK, Long TL (1996) Effects of fractures on seismic-wave velocity and attenuation. Geophys J Int 127:86–110CrossRef

Deere DU, Miller RP (1966) Engineering classification and index properties for intact rock. Air Force Weapons Lab. Tech. Report, AFWL-TR 65-116, Kirtland Base, New Mexico

Diamantis K, Bellas S, Migiros G, Gartzos E (2011) Correlating wave velocities with physical, mechanical properties and petrographic characteristics of peridotites from the central Greece. Geotech Geol Eng 29:1049–1062. https://doi.org/10.1007/s10706-011-9436-7CrossRef

Eitzenberger A (2012) Wave propagation in rock and the influence of discontinuities. Doctoral dissertation, Luleå tekniska universitet. https://www.diva-portal.org/smash/get/diva2:990707/FULLTEXT01.pdf

Entwisle DC, Hobbs PR, Jones LD (2005) The relationships between effective porosity, uniaxial compressive strength and sonic velocity of intact Borrowdale Volcanic group core samples from Sellafield. Geotech Geol Eng 23:793–809. https://doi.org/10.1007/s10706-004-2143-xCrossRef

Fan LF, Sun HY (2015) Seismic wave propagation through an in-situ stressed rock mass. J Appl Geophys 121:13–20. https://doi.org/10.1016/j.jappgeo.2015.07.002CrossRef

Ghosh A, Daemen JJK (1993) Fractal characteristics of rock discontinuities. Eng Geol 34:1–9. https://doi.org/10.1016/0013-7952(93)90039-FCrossRef

Guoliang D, Jun L (2022) Using P-wave propagation velocity to characterize damage and estimate deformation modulus of in-situ rock mass. Eur J Environ Civ Eng. https://doi.org/10.1080/19648189.2020.1752807CrossRef

Hoek E, Brown E (1980) Empirical strength criterion for rock masses. J Geotech Eng Div 106:1013–1035. https://doi.org/10.1061/AJGEB6.0001029CrossRef

Hoek E, Brown ET (1997) Practical estimates of rock mass strength. Int J Rock Mech Min Sci 34:1165–1186. https://doi.org/10.1016/S1365-1609(97)80069-XCrossRef

Huang X, Qi S, Guo S, Dong W (2014) Experimental study of ultrasonic waves propagating through a rock mass with a single joint and multiple parallel joints. Rock Mech Rock Eng 47:549–559. https://doi.org/10.1007/s00603-013-0399-2CrossRef

IS:13372 (1992) Indian standard: seismic testing of rock mass, Bureau of Indian Standards, New Delhi, India

ISRM (1998) Suggested methods for seismic testing within and between boreholes. Int J Rock Mech Min Sci Geomech Abstr 25:447–472

ISRM Suggested Methods (1981) In: Brown ET (ed), Rock characterization testing and monitoring. Pergamon, Oxford, pp. 113 – 116 and 123 – 127

Jamshidi A, Zamanian H, Zarei Sahamieh R (2018) The effect of density and porosity on the correlation between uniaxial compressive strength and P-wave velocity. Rock Mech Rock Eng 51:1279–1286. https://doi.org/10.1007/s00603-017-1379-8zCrossRef

Jiang Q, Feng X-t, Hatzor YH, Hao X-j, Li S-j (2014) Mechanical anisotropy of columnar jointed basalts: an example from the Baihetan hydropower station, China. Eng Geol 175:35–45. https://doi.org/10.1016/j.enggeo.2014.03.019CrossRef

Kahraman S (2001) A correlation between P-wave velocity, number of joints and Schmidt hammer rebound number. Int J Rock Mech Min Sci 38:729–733. https://doi.org/10.1016/S1365-1609(01)00034-XCrossRef

Kahraman S (2002) The effects of fracture roughness on P-wave velocity. Eng Geol 63:347–350. https://doi.org/10.1016/S0013-7952(01)00089-8CrossRef

Karakuş A, Akatay M (2013) Determination of basic physical and mechanical properties of basaltic rocks from P-wave velocity. Nondestruct Test Eval 28:342–353CrossRef

Khandelwal M (2013) Correlating P-wave velocity with the physico-mechanical properties of diferent rocks. Pure Appl Geophys 170(4):507–514CrossRef

Kianpour M, Aghda SMF, Talkhablou M (2020) Classification of limestone rock masses using laboratory and field P-wave velocity by ArcGIS fuzzy overlay (AFO) (Case Study: Five Dam Sites in Zagros Mountains, Western Iran). Geotech Geol Eng 38(1):631–650. https://doi.org/10.1007/s10706-019-01052-3CrossRef

Kim H, Cho JW, Song I, Min KB (2012) Anisotropy of elastic moduli, P-wave velocities, and thermal conductivities of Asan Gneiss, Boryeong Shale, and Yeoncheon Schist in Korea. Eng Geol 147–148:68–77. https://doi.org/10.1016/j.enggeo.2012.07.015CrossRef

Kurtuluş C, Üçkardeş M, Sari U, Güner SO (2012) Experimental studies in wave propagation across a jointed rock mass. Bull Eng Geol Environ 71:231–234. https://doi.org/10.1007/s10064-011-0392-5CrossRef

Kurtulus C, Sertçelik F, Sertçelik I (2016) Correlating physico-mechanical properties of intact rocks with P-wave velocity. Acta Geod Geophys. 51:571–582. https://doi.org/10.1007/s40328-015-0145-1CrossRef

Li JC (2013) Wave propagation across non-linear rock joints based on time-domain recursive method. Geophys J Int 193:970–985. https://doi.org/10.1093/gji/ggt020CrossRef

Li Y, Zhu Z (2012) Study on the velocity of P waves across a single joint based on fractal and damage theory. Eng Geol 151:82–88. https://doi.org/10.1016/j.enggeo.2012.09.006CrossRef

Li J, Ma G, Huang X (2010) Analysis of wave propagation through a filled rock joint. Rock Mech Rock Eng 43:789–798. https://doi.org/10.1007/s00603-009-0033-5CrossRef

Min KB, Jing L (2003) Numerical determination of the equivalent elastic compliance tensor for fractured rock masses using the distinct element method. Int J Rock Mech Min Sci 40:795–816. https://doi.org/10.1016/S1365-1609(03)00038-8CrossRef

Mohd-Nordin MM, Il SK, Cho GC, Mohamed Z (2014) Long-wavelength elastic wave propagation across naturally fractured rock masses. Rock Mech Rock Eng 47:561–573. https://doi.org/10.1007/s00603-013-0448-xCrossRef

Pappalardo G (2015) Correlation between p-wave velocity and physical–mechanical properties of intensely jointed dolostones, Peloritani mounts, NE Sicily. Rock Mech Rock Eng 48:1711–1721. https://doi.org/10.1007/s00603-014-0607-8CrossRef

Pyrak-Nolte LJ, Myer L, Cook N (1990) Transmission of seismic-waves across single natural fractures. J Geophys Res 95:8617–8638CrossRef

Ramamurthy T (1993) Strength and modulus responses of anisotropic rocks. Comp Rock Eng 1:313–329

Ramamurthy T, Arora VK (1994) Strength predictions for jointed rocks in confined and unconfined states. Int J Rock Mech Min Sci 31:9–22. https://doi.org/10.1016/0148-9062(94)92311-6CrossRef

Sarkar K, Vishal V, Singh TN (2012) An empirical correlation of index geomechanical parameters with the compressional wave velocity. Geotech Geol Eng 30:469–479. https://doi.org/10.1007/s10706-011-9481-2CrossRef

Sharma LK, Vishal V, Singh TN (2017) Developing novel models using neural networks and fuzzy systems for the prediction of strength of rocks from key geomechanical properties. Measurement 102:158–169CrossRef

Shen X, Chen M, Lu W, Li L (2017) Using P wave modulus to estimate the mechanical parameters of rock mass. Bull Eng Geol Environ 76:1461–1470. https://doi.org/10.1007/s10064-016-0932-0CrossRef

Singh M, Rao KS (2005) Empirical methods to estimate the strength of jointed rock masses. Eng Geol 77:127–137. https://doi.org/10.1016/j.enggeo.2004.09.001CrossRef

Singh M, Singh B (2012) Modified Mohr-Coulomb criterion for non-linear triaxial and polyaxial strength of jointed rocks. Int J Rock Mech Min Sci 51:43–52. https://doi.org/10.1016/j.ijrmms.2011.12.007CrossRef

Singh M, Rao KS, Ramamurthy T (2002) Strength and deformational behaviour of a jointed rock mass. Rock Mech Rock Eng 35:45–64. https://doi.org/10.1007/s006030200008CrossRef

Singh M, Raj A, Singh B (2011) Modified Mohr-Coulomb criterion for non-linear triaxial and polyaxial strength of intact rocks. Int J Rock Mech Min Sci 48:546–555. https://doi.org/10.1016/j.ijrmms.2011.02.004CrossRef

Singh HO, Ansari TA, Singh TN, Singh KH (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 40:4247–4268CrossRef

Singh M (1997) Engineering behaviour of jointed model materials. Ph.D. Thesis, IIT Delhi, India

Sitharam TG, Sridevi J, Shimizu N (2001) Practical equivalent continuum characterization of jointed rock masses. Int J Rock Mech Min Sci 38:437–448. https://doi.org/10.1016/S1365-1609(01)00010-7CrossRef

Vilhelm J, Ivankina T, Lokajíček T, Rudajev V (2016) Comparison of laboratory and field measurements of P and S wave velocities of a peridotite rock. Int J Rock Mech Min Sci 88:235–241. https://doi.org/10.1016/j.ijrmms.2016.07.027CrossRef

Wu W, Zhao J (2015) Effect of water content on P-wave attenuation across a rock fracture filled with granular materials. Rock Mech Rock Eng 48:867–871. https://doi.org/10.1007/s00603-014-0606-9CrossRef

Wu YK, Hao H, Zhou YX, Chong K (1998) Propagation characteristics of blast-induced shock waves in a jointed rock mass. Soil Dyn Earthq Eng 17:407–412. https://doi.org/10.1016/S0267-7261(98)00030-XCrossRef

Zhao J (1997a) Joint surface matching and shear strength Part A: joint matching coefficient (JMC). Int J Rock Mech Min Sci 34(2):173–178CrossRef

Zhao J (1997b) Joint surface matching and shear strength Part B :JRC-JMC shear strength criterion. Int J Rock Mech Min Sci 34(2):179–185CrossRef

Zhao J, Cai JG (2001) Transmission of elastic P-waves across single fractures with a nonlinear normal deformational behaviour. Rock Mech Rock Eng 34(1):3–22CrossRef

Zhao J, Cai JG, Zhao XB, Li HB (2006a) Experimental study of ultrasonic wave attenuation across parallel fractures. Geomech Geoengin 1:87–103. https://doi.org/10.1080/17486020600834613CrossRef

Zhao J, Zhao XB, Cai JG (2006b) A further study of P-wave attenuation across parallel fractures with linear deformational behaviour. Int J Rock Mech Min Sci 43:776–788. https://doi.org/10.1016/j.ijrmms.2005.12.007CrossRef

Zhu JB, Zhao J (2013) Obliquely incident wave propagation across rock joints with virtual wave source method. J Appl Geophys 88:23–30. https://doi.org/10.1016/j.jappgeo.2012.10.002CrossRef

Zhu JB, Zhao GF, Zhao XB, Zhao J (2011a) Validation study of the distinct lattice spring model (DLSM) on P-wave propagation across multiple parallel joints. Comput Geotech 38:298–304. https://doi.org/10.1016/j.compgeo.2010.12.002CrossRef

Zhu JB, Zhao XB, Li JC et al (2011b) Normally incident wave propagation across a joint set with the virtual wave source method. J Appl Geophys 73:283–288. https://doi.org/10.1016/j.jappgeo.2011.01.012CrossRef

Zuo JP, Wei X, Shi Y et al (2020) Experimental study of the ultrasonic and mechanical properties of a naturally fractured limestone. Int J Rock Mech Min Sci. https://doi.org/10.1016/j.ijrmms.2019.104162CrossRef

Title: Prediction of Strength and Modulus of Jointed Rocks Using P-wave Velocity
Authors: Mahendra Singh
Phibe Khalkho
Publication date: 29-05-2023
Publisher: Springer International Publishing
Published in: Geotechnical and Geological Engineering / Issue 6/2023
Print ISSN: 0960-3182
Electronic ISSN: 1573-1529
DOI: https://doi.org/10.1007/s10706-023-02478-6

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