Skip to main content
Top
Published in: Rock Mechanics and Rock Engineering 6/2013

01-11-2013 | Original Paper

A Numerical Study on Wave Transmission Across Multiple Intersecting Joint Sets in Rock Masses with UDEC

Authors: J. B. Zhu, X. F. Deng, X. B. Zhao, J. Zhao

Published in: Rock Mechanics and Rock Engineering | Issue 6/2013

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

This paper presents a numerical study on wave transmission across jointed rock masses with UDEC, where multiple intersecting joint sets exist. The capability of UDEC of studying wave transmission across rock joints is validated through comparison with analytical solutions and experimental data. Through parametric studies on wave transmission across jointed rock masses, it is found that joint mechanical and spatial parameters including joint normal and shear stiffnesses, nondimensional joint spacing, joint spacing ratio, joint intersecting angle, incident angle, and number of joint sets together determine the wave transmission. And for P wave incidence, compared with other parameters, joint normal stiffness, nondimensional joint spacing, and joint intersecting angle have more significant effects on wave transmission. The physical reasons lying behind those phenomena are explained in detail. Engineering applications and indications of the modeling results are also mentioned.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literature
go back to reference Bakhtar K, Jenus JJ (1994) Characterization of geologic and engineered systems at KLOTZ tunnel explosion site Älvdalen, Sweden. United States Air Force: Aeronautical Systems Center, ASC–TR–94–7014, Air Force Material Commands, Eglin Air Force Base Bakhtar K, Jenus JJ (1994) Characterization of geologic and engineered systems at KLOTZ tunnel explosion site Älvdalen, Sweden. United States Air Force: Aeronautical Systems Center, ASC–TR–94–7014, Air Force Material Commands, Eglin Air Force Base
go back to reference Barla G, Monacis G, Perino A, Hatzor YH (2010) Distinct element modelling in static and dynamic conditions with application to an underground archaeological site. Rock Mech Rock Eng 43:877–890CrossRef Barla G, Monacis G, Perino A, Hatzor YH (2010) Distinct element modelling in static and dynamic conditions with application to an underground archaeological site. Rock Mech Rock Eng 43:877–890CrossRef
go back to reference Beer G (1986) Implementation of combined boundary element-finite element analysis with applications in geomechanics. In: Banerjee PK, Watson JO (eds) Developments in boundary element methods. Applied Science, London, pp 191–226 Beer G (1986) Implementation of combined boundary element-finite element analysis with applications in geomechanics. In: Banerjee PK, Watson JO (eds) Developments in boundary element methods. Applied Science, London, pp 191–226
go back to reference Bergab (2000) Feasibility study: rock conditions Geological investigations. Test–site G 3655. Swedish Defense Research Agency Bergab (2000) Feasibility study: rock conditions Geological investigations. Test–site G 3655. Swedish Defense Research Agency
go back to reference Berglund R (2001) Large scale tests in Älvdalen: Test no. 4a and 4b. Weapons and Protection SE-147 25 Tumba, Swedish Defense Research Agency Berglund R (2001) Large scale tests in Älvdalen: Test no. 4a and 4b. Weapons and Protection SE-147 25 Tumba, Swedish Defense Research Agency
go back to reference Brady BH, Hsiung SH, Chowdhury AH, Philip J (1990) Verification studies on the UDEC computational model of jointed rock. In: Mechanics of jointed and faulted rock, Balkema, Rotterdam, pp 551–558 Brady BH, Hsiung SH, Chowdhury AH, Philip J (1990) Verification studies on the UDEC computational model of jointed rock. In: Mechanics of jointed and faulted rock, Balkema, Rotterdam, pp 551–558
go back to reference Cai JG, Zhao J (2000) Effects of multiple parallel fractures on apparent wave attenuation in rock masses. Int J Rock Mech Min Sci 37:661–682CrossRef Cai JG, Zhao J (2000) Effects of multiple parallel fractures on apparent wave attenuation in rock masses. Int J Rock Mech Min Sci 37:661–682CrossRef
go back to reference Chen SG (1999) Discrete element modelling of jointed rock mass under dynamic loading. Dissertation, Nanyang Technological University Chen SG (1999) Discrete element modelling of jointed rock mass under dynamic loading. Dissertation, Nanyang Technological University
go back to reference Chen SG, Zhao J (1998) A study of UDEC modelling for blast wave transmission in jointed rock masses. Int J Rock Mech Min Sci 35:93–99CrossRef Chen SG, Zhao J (1998) A study of UDEC modelling for blast wave transmission in jointed rock masses. Int J Rock Mech Min Sci 35:93–99CrossRef
go back to reference Crotty JM, Wardle LJ (1985) Boundary integral analysis of piecewise homogeneous media with structural discontinuities. Int J Rock Mech Min Sci Geomech Abstr 22:419–427CrossRef Crotty JM, Wardle LJ (1985) Boundary integral analysis of piecewise homogeneous media with structural discontinuities. Int J Rock Mech Min Sci Geomech Abstr 22:419–427CrossRef
go back to reference Cundall PA (1971) A computer model for simulating progressive large scale movements in blocky rock systems. In: Proceedings of the International Symposium on Rock Mechanics, Nancy, France, pp 11–18 Cundall PA (1971) A computer model for simulating progressive large scale movements in blocky rock systems. In: Proceedings of the International Symposium on Rock Mechanics, Nancy, France, pp 11–18
go back to reference Daehnke A, Rossmanith HP (1997) Reflection and refraction of plane stress waves at dissipative interfaces. In: Rossmanith HP (ed) Damage and failure of interfaces. Balkema, Rotterdam, pp 315–320 Daehnke A, Rossmanith HP (1997) Reflection and refraction of plane stress waves at dissipative interfaces. In: Rossmanith HP (ed) Damage and failure of interfaces. Balkema, Rotterdam, pp 315–320
go back to reference Deng XF, Chen SG, Zhu JB, Zhou YX, Zhao ZY, Zhao J (2012) UDEC-AUTODYN hybrid modeling of a large-scale underground explosion test. Submitted to Rock Mech Rock Eng Deng XF, Chen SG, Zhu JB, Zhou YX, Zhao ZY, Zhao J (2012) UDEC-AUTODYN hybrid modeling of a large-scale underground explosion test. Submitted to Rock Mech Rock Eng
go back to reference Dowding CH (1985) Blasting vibration monitoring and control. Prentice-Hall, Saddle River Dowding CH (1985) Blasting vibration monitoring and control. Prentice-Hall, Saddle River
go back to reference Fan SC, Jiao YY (2004) On modelling of incident boundary for wave transmission in jointed rock masses using discrete element method. Comput Geotech 31:57–66CrossRef Fan SC, Jiao YY (2004) On modelling of incident boundary for wave transmission in jointed rock masses using discrete element method. Comput Geotech 31:57–66CrossRef
go back to reference Ghaboussi J, Wilson EL, Isenberg J (1973) Finite elements for rock joints and interfaces. J Soil Mech Found Div 99:833–848 Ghaboussi J, Wilson EL, Isenberg J (1973) Finite elements for rock joints and interfaces. J Soil Mech Found Div 99:833–848
go back to reference Goodman RE, Taylor RL, Brekke T (1968) A model for the mechanics of jointed rock. J Soil Mech Found Div 94:637–659 Goodman RE, Taylor RL, Brekke T (1968) A model for the mechanics of jointed rock. J Soil Mech Found Div 94:637–659
go back to reference Hansson H, Forsén R (1997) Mitigation effects of water on ground shock: Large scale testing in Älvdalen, FOA–R–97–00510–311–SE. FOA, Tumba Hansson H, Forsén R (1997) Mitigation effects of water on ground shock: Large scale testing in Älvdalen, FOA–R–97–00510–311–SE. FOA, Tumba
go back to reference Hao H, Wu YK, Ma GW, Zhou YX (2001) Characteristics of surface ground motions induced by blasts in jointed rock mass. Soil Dyn Earthquake Eng 21:85–98CrossRef Hao H, Wu YK, Ma GW, Zhou YX (2001) Characteristics of surface ground motions induced by blasts in jointed rock mass. Soil Dyn Earthquake Eng 21:85–98CrossRef
go back to reference Jaeger JC, Cook NGW, Zimmerman RW (2007) Fundamentals of rock mechanics, 4th edn. Blackwell Publishing, Malden Jaeger JC, Cook NGW, Zimmerman RW (2007) Fundamentals of rock mechanics, 4th edn. Blackwell Publishing, Malden
go back to reference King MS, Myer LR, Rezowalli JJ (1986) Experimental studies of elastic-wave transmission in a columnar-jointed rock mass. Geophys Prospect 34:1185–1199CrossRef King MS, Myer LR, Rezowalli JJ (1986) Experimental studies of elastic-wave transmission in a columnar-jointed rock mass. Geophys Prospect 34:1185–1199CrossRef
go back to reference Lemos JV (1987) A distinct element model for dynamic analysis of jointed rock with application to dam foundation and fault motion. Dissertation, University of Minnesota Lemos JV (1987) A distinct element model for dynamic analysis of jointed rock with application to dam foundation and fault motion. Dissertation, University of Minnesota
go back to reference Li JC, Ma GW, Huang X (2009) Analysis of wave transmission through a filled rock joint. Rock Mech Rock Eng 43:789–798CrossRef Li JC, Ma GW, Huang X (2009) Analysis of wave transmission through a filled rock joint. Rock Mech Rock Eng 43:789–798CrossRef
go back to reference Li YX, Zhu ZM, Li BX, Deng JH, Xie HP (2011) Study on the transmission and reflection of stress waves across joints. Int J Rock Mech Min Sci 48:364–371CrossRef Li YX, Zhu ZM, Li BX, Deng JH, Xie HP (2011) Study on the transmission and reflection of stress waves across joints. Int J Rock Mech Min Sci 48:364–371CrossRef
go back to reference Lyser J, Kuhlemeyer G (1969) Finite dynamic model for infinite media. J Eng Mech Div 4:859–876 Lyser J, Kuhlemeyer G (1969) Finite dynamic model for infinite media. J Eng Mech Div 4:859–876
go back to reference Morland LW (1977) Plane wave propagation in anisotropic jointed media. Q J Mech Appl Math 30:1–21CrossRef Morland LW (1977) Plane wave propagation in anisotropic jointed media. Q J Mech Appl Math 30:1–21CrossRef
go back to reference Nolte DD, Pyrak-Nolte LJ, Beachy J, Ziegler C (2000) Transition from the displacement discontinuity limit to the resonant scattering regime for fracture interface waves. Inter J Rock Mech Min Sci 37:219–230CrossRef Nolte DD, Pyrak-Nolte LJ, Beachy J, Ziegler C (2000) Transition from the displacement discontinuity limit to the resonant scattering regime for fracture interface waves. Inter J Rock Mech Min Sci 37:219–230CrossRef
go back to reference Perino A, Orta R, Barla G (2012) Wave propagation in discontinuous media by the scattering matrix method. Rock Mech Rock Eng 45:901–918 Perino A, Orta R, Barla G (2012) Wave propagation in discontinuous media by the scattering matrix method. Rock Mech Rock Eng 45:901–918
go back to reference Pyrak-Nolte LJ, Myer LR, Cook NGW (1990a) Transmission of seismic waves across single natural fractures. J Geophys Res 95:8617–8638CrossRef Pyrak-Nolte LJ, Myer LR, Cook NGW (1990a) Transmission of seismic waves across single natural fractures. J Geophys Res 95:8617–8638CrossRef
go back to reference Pyrak-Nolte LJ, Myer LR, Cook NGW (1990b) Anisotropy in seismic velocities and amplitudes from multiple parallel fractures. J Geophys Res 95:11345–11358CrossRef Pyrak-Nolte LJ, Myer LR, Cook NGW (1990b) Anisotropy in seismic velocities and amplitudes from multiple parallel fractures. J Geophys Res 95:11345–11358CrossRef
go back to reference Rossmanith HP, Knasmillner RE, Daehnke A, Mishnaevsky L (1996) Wave propagation, damage evolution, and dynamic fracture extension. Part II. Blasting. Mater Sci 32:403–410CrossRef Rossmanith HP, Knasmillner RE, Daehnke A, Mishnaevsky L (1996) Wave propagation, damage evolution, and dynamic fracture extension. Part II. Blasting. Mater Sci 32:403–410CrossRef
go back to reference Schoenberg M (1980) Elastic wave behavior across linear slip interfaces. J Acoust Soc Am 68:1516–1521CrossRef Schoenberg M (1980) Elastic wave behavior across linear slip interfaces. J Acoust Soc Am 68:1516–1521CrossRef
go back to reference Schwer LE, Lindberg HE (1992) Application brief: a finite element slideline approach for calculating tunnel response in jointed rock. Int J Num Anal Meth Geomech 16:529–540CrossRef Schwer LE, Lindberg HE (1992) Application brief: a finite element slideline approach for calculating tunnel response in jointed rock. Int J Num Anal Meth Geomech 16:529–540CrossRef
go back to reference Vorobiev O (2010) Discrete and continuum methods for numerical simulations of non-linear wave propagation in discontinuous media. Int J Numer Meth Eng 83:482–507 Vorobiev O (2010) Discrete and continuum methods for numerical simulations of non-linear wave propagation in discontinuous media. Int J Numer Meth Eng 83:482–507
go back to reference Vorobiev O, Antoun T (2011) Equivalent continuum modeling for non-linear wave propagation in jointed media. Int J Numer Meth Eng 86:1101–1124CrossRef Vorobiev O, Antoun T (2011) Equivalent continuum modeling for non-linear wave propagation in jointed media. Int J Numer Meth Eng 86:1101–1124CrossRef
go back to reference Watanabe T, Sassa K (1995) Velocity and amplitude of P-waves transmitted through fractured zones composed of multiple thin low-velocity layers. Int J Rock Mech Min Sci 32:313–324 Watanabe T, Sassa K (1995) Velocity and amplitude of P-waves transmitted through fractured zones composed of multiple thin low-velocity layers. Int J Rock Mech Min Sci 32:313–324
go back to reference Zhao J, Cai JG, Zhao XB, Li HB (2006a) Experimental study of wave attenuation across parallel fractures. Geomech Geoeng 1:87–103CrossRef Zhao J, Cai JG, Zhao XB, Li HB (2006a) Experimental study of wave attenuation across parallel fractures. Geomech Geoeng 1:87–103CrossRef
go back to reference Zhao XB, Zhao J, Cai JG (2006b) P-wave attenuation across fractures with nonlinear deformational behavior. Int J Numer Anal Meth Geomech 30:1097–1112CrossRef Zhao XB, Zhao J, Cai JG (2006b) P-wave attenuation across fractures with nonlinear deformational behavior. Int J Numer Anal Meth Geomech 30:1097–1112CrossRef
go back to reference Zhao XB, Zhao J, Cai JG, Hefny AM (2008) UDEC modelling on wave transmission across fractured rock masses. Comput Geotech 35:97–104CrossRef Zhao XB, Zhao J, Cai JG, Hefny AM (2008) UDEC modelling on wave transmission across fractured rock masses. Comput Geotech 35:97–104CrossRef
go back to reference Zhao XB, Zhu JB, Zhao J, Cai JG (2012) Studies of wave attenuation across parallel fractures using propagator matrix method. Int J Numer Anal Meth Geomech 36:1264–1279CrossRef Zhao XB, Zhu JB, Zhao J, Cai JG (2012) Studies of wave attenuation across parallel fractures using propagator matrix method. Int J Numer Anal Meth Geomech 36:1264–1279CrossRef
go back to reference Zhu JB, Zhao J (2013) Obliquely incident wave propagation across one joint set with virtual wave source method. J Appl Geophys 88:23–30CrossRef Zhu JB, Zhao J (2013) Obliquely incident wave propagation across one joint set with virtual wave source method. J Appl Geophys 88:23–30CrossRef
go back to reference Zhu JB, Zhao XB, Li JC, Zhao GF, Zhao J (2011a) Normally incident wave transmission across one joint set with virtual wave source method. J Appl Geophys 73:283–288CrossRef Zhu JB, Zhao XB, Li JC, Zhao GF, Zhao J (2011a) Normally incident wave transmission across one joint set with virtual wave source method. J Appl Geophys 73:283–288CrossRef
go back to reference Zhu JB, Zhao GF, Zhao XB, Zhao J (2011b) Validation study of the distinct lattice spring model (DLSM) on P-wave transmission across multiple parallel joints. Comput Geotech 38:298–304CrossRef Zhu JB, Zhao GF, Zhao XB, Zhao J (2011b) Validation study of the distinct lattice spring model (DLSM) on P-wave transmission across multiple parallel joints. Comput Geotech 38:298–304CrossRef
go back to reference Zhu JB, Perino A, Zhao GF, Barla G, Li JC, Ma GW, Zhao J (2011c) Seismic response of a single and a set of filled joints of viscoelastic deformational behavior. Geophys J Int 186:1315–1330CrossRef Zhu JB, Perino A, Zhao GF, Barla G, Li JC, Ma GW, Zhao J (2011c) Seismic response of a single and a set of filled joints of viscoelastic deformational behavior. Geophys J Int 186:1315–1330CrossRef
go back to reference Zhu JB, Zhao XB, Wu W, Zhao J (2012) Wave propagation across rock joints filled with viscoelastic medium using modified recursive method. J Appl Geophys 86:82–87CrossRef Zhu JB, Zhao XB, Wu W, Zhao J (2012) Wave propagation across rock joints filled with viscoelastic medium using modified recursive method. J Appl Geophys 86:82–87CrossRef
Metadata
Title
A Numerical Study on Wave Transmission Across Multiple Intersecting Joint Sets in Rock Masses with UDEC
Authors
J. B. Zhu
X. F. Deng
X. B. Zhao
J. Zhao
Publication date
01-11-2013
Publisher
Springer Vienna
Published in
Rock Mechanics and Rock Engineering / Issue 6/2013
Print ISSN: 0723-2632
Electronic ISSN: 1434-453X
DOI
https://doi.org/10.1007/s00603-012-0352-9

Other articles of this Issue 6/2013

Rock Mechanics and Rock Engineering 6/2013 Go to the issue