Theoretical analysis of JMC effect on stress wave transmission and reflection

Xin Chen; Mei-feng Cai; Jian-chuan Li; Wen-hui Tan

doi:10.1007/s12613-018-1676-6

Volume 25 Issue 11

Nov. 2018

Turn off MathJax

Article Contents

Article Navigation > International Journal of Minerals, Metallurgy and Materials > 2018 > 25(11): 1237-1245

Xin Chen, Mei-feng Cai, Jian-chuan Li, and Wen-hui Tan, Theoretical analysis of JMC effect on stress wave transmission and reflection, Int. J. Miner. Metall. Mater., 25(2018), No. 11, pp. 1237-1245. https://doi.org/10.1007/s12613-018-1676-6

Cite this article as:

Xin Chen, Mei-feng Cai, Jian-chuan Li, and Wen-hui Tan, Theoretical analysis of JMC effect on stress wave transmission and reflection, Int. J. Miner. Metall. Mater., 25(2018), No. 11, pp. 1237-1245. https://doi.org/10.1007/s12613-018-1676-6

Citation:

PDF( 459 KB)

Research Article

Theoretical analysis of JMC effect on stress wave transmission and reflection

+ Author Affiliations

Corresponding author:
Jian-chuan Li E-mail: jcli@seu.edu.cn
Received: 27 April 2018; Revised: 19 June 2018; Accepted: 30 August 2018

Abstract

Abstract

Taking the joint matching coefficient (JMC) which represents the contact area ratio of the joint in rock masses as the key parameter, a one-dimensional contacted interface model (CIM-JMC) was established in this study to describe the wave propagation across a single joint. According to this model, the reflected and transmitted waves at the joint were obtained, and the energy coefficients of reflection and transmission were calculated. Compared with the modified Split Hopkinson pressure bar (SHPB) experiment, it was validated by taking the incident wave of the SHPB test as the input condition in the CIM-JMC, and the reflected and transmitted waves across the joint were calculated by the model. The effects of four sets of JMCs (0.81, 0.64, 0.49, and 0.36) on the transmission and reflection of the stress wave propagation across the joint were analyzed and compared with the experimental results. It demonstrated that the values of CIM-JMC could represent both the transmission and reflection of the stress wave accurately when JMC > 0.5, but could relatively accurately represent the reflection rather than the transmission when JMC < 0.5. By contrasting energy coefficients of joints with different JMCs, it was revealed that energy dissipated sharply along the decrease of JMC when JMC > 0.5.
- joint matching coefficient;
- stress wave;
- transmission;
- reflection;
- energy coefficient;
- rock dynamics

FullText(HTML)

Supplements(0)

References(30)

References

[1]	M.F. Cai and E.T. Brown, Challenges in the mining and utilization of deep mineral resources, Engineering, 3(2017), No. 4, p. 432.
[2]	N.G.W. Cook, Natural joints in rock:Mechanical, hydraulic, and seismic behaviour and properties under normal stress, Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 29(1992), No. 3, p. 198.
[3]	J.A. Greenwood and J.B.P. Williamson, Contact of nominally flat surfaces, Proc. R. Soc. A, 295(1966), No. 1442, p. 300.
[4]	S.R. Brown and C.H. Scholz, Closure of rock joints, J. Geophys. Res., 91(1986), No. B5, p. 4939.
[5]	S.R. Brown and C.H. Scholz, Closure of random elastic surfaces in contact, J. Geophys. Res., 90(1985), No. B7, p. 5531.
[6]	R.K. Miller, An approximate method of analysis of the transmission of elasticwaves through a frictional boundary, J. Appl. Mech., 44(1977), No. 4, p. 652.
[7]	M. Schoenberg, Elastic wave behavior across linear slip interfaces, J. Acoust. Soc. Am., 68(1980), No. 5, p. 1516.
[8]	J.M. Baik and R.B. Thompson, Ultrasonic scattering from imperfect interfaces:a quasi-static model, J. Nondestr. Eval., 4(1984), No. 3-4, p. 177.
[9]	C.S. Desai, M.M. Zaman, J.G. Lightne, and H.J. Siriwardance, Thin-layer element for interfaces and joints, Int. J. Numer. Anal. Methods Geomech., 8(1984), No. 1, p. 19.
[10]	L.J. Pyrak-Nolte, L.R. Myer, and N.G.W. Cook, Anisotropy in seismic velocities and amplitudes from multiple parallel fractures, J. Geophys. Res. Solid Earth, 95(1990), No. B7, p. 11345.
[11]	J.A. Hudson, E.R. Liu, and S. Crampin, The mean transmission properties of a fault with imperfect facial contact, Geophys. J. Int., 129(1997), No. 3, p. 720.
[12]	L.J. Pyrak-Nolte and J.P. Morris, Single fractures under normal stress:The relation between fracture specific stiffness and fluid flow, Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 37(2000), No. 1-2, p. 245.
[13]	A. Perino, R. Orta, and G. Barla, Wave propagation in discontinuous media by the scattering matrix method, Rock Mech. Rock Eng., 45(2012), No. 5, p. 901.
[14]	H. Zhao, X.P. Li, Y. Luo, Q. Dong, and J.H. Huang, Characteristics of elastic wave propagation in jointed rock mass and development of constitutive model by coupling macroscopic and mesoscopic damage, Rock Soil Mech., 38(2017), No. 10, p. 2939.
[15]	Z.H. Zhang, J.H. Deng, and J.B. Zhu, A rapid and nondestructive method to determine normal and shear stiffness of a single rock joint based on 1D wave-propagation theory, Geophysics, 83(2018), No. 1, p. 89.
[16]	J.G. Cai and J. Zhao, Effects of multiple parallel fractures on apparent attenuation of stress waves in rock masses, Int. J. Rock Mech. Min. Sci., 37(2000), No. 4, p. 661.
[17]	Y.Y. Jiao, S.C. Fan, and J. Zhao, Numerical investigation of joint effect on shock wave propagation in jointed rock masses, J. Test. Eval., 33(2005), No. 3, p. 197.
[18]	J. Zhao, X.B. Zhao, and J.G. Cai, A further study of P-wave attenuation across parallel fractures with linear deformational behavior, Int. J. Rock Mech. Min. Sci., 43(2006), No. 5, p. 776.
[19]	X.B. Zhao, J. Zhao, and J.G. Cai, P-wave transmission across fractures with nonlinear deformational behavior, Int. J. Numer. Anal. Methods Geomech., 30(2006), No. 11, p. 1097.
[20]	J.C. Li, G.W. Ma, and J. Zhao, An equivalent viscoelastic model for rock mass with parallel joints, J. Geophys. Res. Solid Earth, 115(2010), No. B3, art. No. B03305.
[21]	J.B. Zhu, A. Perino, G.F. Zhao, G. Barla, J.C. Li, G.W. Ma, and J. Zhao, Seismic response of a single and a set of filled joints of viscoelastic deformational behavior, Geophys. J. Int., 186(2011), No. 3, p. 1315.
[22]	J.C. Li, H.B. Li, G.W. Ma, and J. Zhao, A time-domain recursive method to analyze transient wave propagation across rock joints, Geophys. J. Int., 188(2012), No. 2, p. 631.
[23]	J.B. Zhu, X.F. Deng, X.B. Zhao, and J. Zhao, A numerical study on wave transmission across multiple intersecting joint sets in rock masses with UDEC, Rock Mech. Rock Eng., 46(2013), No. 6, p. 1429.
[24]	J.C. Li, W. Wu, H.B. Li, J.B. Zhu, and J. Zhao, A thin-layer interface model for wave propagation through filled rock joints, J. Appl. Geophys., 91(2013), p. 31.
[25]	Z.J. Wu and L.F. Fan, The numerical manifold method for elastic wave propagation in rock with time-dependent absorbing boundary conditions, Eng. Anal. Boundary Elem., 46(2014), p. 41.
[26]	W. Wu and J. Zhao, Effect of water content on P-wave attenuation across a rock fracture filled with granular materials, Rock Mech. Rock Eng., 48(2015), No. 2, p. 867.
[27]	J. Zhao, Joint surface matching and shear strength part A:joint matching coefficient (JMC), Int. J. Rock Mech. Min. Sci., 34(1997), No. 2, p. 173.
[28]	J. Zhao, Joint surface matching and shear strength part B:JRC-JMC shear strength criterion, Int. J. Rock Mech. Min. Sci., 34(1997), No. 2, p. 179.
[29]	X. Chen, J.C. Li, M.F. Cai, Y. Zou, and J. Zhao, Experimental study on wave propagation across a rock joint with rough surface, Rock Mech. Rock Eng., 48(2015), No. 6, p. 2225.
[30]	J.C. Li, H.B. Li, and J. Zhao, Study on wave propagation across a single rough fracture by the modified thin-layer interface model, J. Appl. Geophys., 110(2014), p. 106.