Skip to main content

Advertisement

Log in

True Triaxial Experimental Investigation of Rock Response Around the Mine-By Tunnel Under an In Situ 3D Stress Path

  • Original Paper
  • Published:
Rock Mechanics and Rock Engineering Aims and scope Submit manuscript

Abstract

Underground excavation causes rock damage, affecting its stability and fluid transport properties. Traditional experiments usually use loading regime (compressive tests) to damage the sample. However, they cannot mimic realistic in situ conditions where excavation unloading also plays a significant role. In the study, we conducted a true-triaxial acoustic emission (AE) experiment to simulate excavation-induced damage by applying in situ 3D stress path to a sample. The path originating 1.0 cm from the Mine-by tunnel crown at the Underground Research laboratory (URL) was determined using an elastic numerical model as the tunnel advanced. The computed stress path was applied to a cubic granite sample using a state-of-art true-triaxial facility to simulate rock damage in the roof. AE activity was intensively monitored, and a damaged plane was determined by fitting a plane through the localized AE events. A source parameter analysis for cluster events near the damaged plane was undertaken via a spectral fitting method. The source type was determined using the moment tensor inversion method. The source size and stress drop were also estimated. The results indicated that stress unloading plays an important role in AE activity. Temporal characteristics of AE events were converted to a spatial distribution relative to the tunnel advancement; this exhibited a good agreement with the microseismicity recorded in the tunnel roof. Source parameters (e.g., corner frequency and moment magnitude) were consistent with the field recordings. Stress drop of the experimental events ranged from 0.6 to 6 MPa, which was comparable with the higher seismicity recorded at the Mine-by tunnel roof. The stress rotation and low confinement that may cause disagreement between the laboratory and field observations are critically analyzed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1

[from (Young and Martin 1993)]

Fig. 2

(modified from (Meglis et al. 2005))

Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

(modified from (Collins 1997))

Fig. 9
Fig. 10
Fig. 11

[from (Eberhardt 2001)]

Fig. 12
Fig. 13

[from (Cai and Kaiser 2014)]

Similar content being viewed by others

Abbreviations

u(f):

S wave displacement spectrum, (m∗s)

f β :

S wave corner frequency, (Hz)

Ω β :

S wave low frequency spectral level, (–)

V β :

S wave velocity, (m/s)

Q β :

S wave quality factor, (–)

R :

Source–receiver distance, (m)

n :

High-frequency fall-off rate, (–)

γ :

Constant that controls the sharpness of the spectrum corner, (–)

ρ :

Rock density, (kg/m3)

F β :

S wave radiation coefficient, (–)

R β :

The free surface amplification, (–)

f C :

Corner frequency, (Hz)

M 0 :

Seismic moment, (Nm)

M w :

Moment magnitude, (–)

References

  • Abercrombie R (1995) Earthquake source scaling relationships from − 1 to 5 ML using seismograms recorded at 2.5-km depth. J Geophys Res Solid Earth 100(B12):24015–24036

    Article  Google Scholar 

  • Andersson J (2007) Äspö Pillar stability experiment. Final report. Rock mass response to coupled mechanical thermal loading. Report TR-07-01, Swedish Nuclear Fuel and Waste Management Co

  • Boore DM, Boatwright J (1984) Average body-wave radiation coefficients. Bull Seismol Soc Am 74(5):1615–1621

    Google Scholar 

  • Brown L, Wang K, Sun T (2015) Static stress drop in the Mw 9 Tohoku-oki earthquake: heterogeneous distribution and low average value. Geophys Res Lett 42(24):10595–10600

    Article  Google Scholar 

  • Brune JN (1970) Tectonic stress and the spectra of seismic shear waves from earthquakes. J Geophys Res 75(26):4997–5009

    Article  Google Scholar 

  • Cai M, Kaiser P (2014) In-situ rock spalling strength near excavation boundaries. Rock Mech Rock Eng 47(2):659–675

    Article  Google Scholar 

  • Cai M, Kaiser PK, Martin CD (1998) A tensile model for the interpretation of microseismic events near underground openings. Pure Appl Geophys 153(1):67–92

    Article  Google Scholar 

  • Carlson SR, Young RP (1993) Acoustic emission and ultrasonic velocity study of excavation-induced microcrack damage at the underground research laboratory. Int J Rock Mech Min Sci Geomech Abstr 30(7):901–907

    Article  Google Scholar 

  • Chang S-H, Lee C-I (2004) Estimation of cracking and damage mechanisms in rock under triaxial compression by moment tensor analysis of acoustic emission. Int J Rock Mech Min Sci 41(7):1069–1086

    Article  Google Scholar 

  • Collins D (1997) Excavation induced seismicity in granite rock: a case study at the underground research laboratory, Canada. Doctoral dissertation, Keele University

  • Collins D, Young P (2000) Lithological controls on seismicity in granitic rocks. Bull Seismol Soc Am 90(3):709–723

    Article  Google Scholar 

  • Collins D, Pettitt W, Young P (2002) High-resolution mechanics of a microearthquake sequence. Pure Appl Geophys 159(1):197–219

    Article  Google Scholar 

  • Diederichs M, Kaiser P, Eberhardt E (2004) Damage initiation and propagation in hard rock during tunnelling and the influence of near-face stress rotation. Int J Rock Mech Min Sci 41(5):785–812

    Article  Google Scholar 

  • Dresen G, Stanchits S, Rybacki E (2010) Borehole breakout evolution through acoustic emission location analysis. Int J Rock Mech Min Sci 47(3):426–435

    Article  Google Scholar 

  • Eberhardt E (2001) Numerical modelling of three-dimension stress rotation ahead of an advancing tunnel face. Int J Rock Mech Min Sci 38(4):499–518

    Article  Google Scholar 

  • Feustel AJ, Young RP (1994) Qβ estimates from spectral ratios and multiple lapse time window analysis: results from an underground research laboratory in granite. Geophys Res Lett 21(14):1503–1506

    Article  Google Scholar 

  • Gibowicz S, Young R, Talebi S, Rawlence D (1991) Source parameters of seismic events at the underground research laboratory in Manitoba, Canada: scaling relations for events with moment magnitude smaller than − 2. Bull Seismol Soc Am 81(4):1157–1182

    Google Scholar 

  • Goodfellow S (2015) Quantitative analysis of acoustic emission from rock fracture experiments. Doctoral dissertation, University of Toronto

  • Goodfellow S, Young P (2014) A laboratory acoustic emission experiment under in situ conditions. Geophys Res Lett 41(10):3422–3430

    Article  Google Scholar 

  • Graham CC, Stanchits S, Main IG, Dresen G (2010) Comparison of polarity and moment tensor inversion methods for source analysis of acoustic emission data. Int J Rock Mech Min Sci 47(1):161–169

    Article  Google Scholar 

  • Hazzard JF, Young RP (2004) Numerical investigation of induced cracking and seismic velocity changes in brittle rock. Geophys Res Lett 31:L01604

    Article  Google Scholar 

  • Hiramatsu Y, Yamanaka H, Tadokoro K, Nishigami K, Ohmi S (2002) Scaling law between corner frequency and seismic moment of microearthquakes: is the breakdown of the cube law a nature of earthquakes? Geophys Res Lett 29(8):1211

    Article  Google Scholar 

  • Ingraham MD, Issen KA, Holcomb DJ (2013) Use of acoustic emissions to investigate localization in high-porosity sandstone subjected to true triaxial stresses. Acta Geotech 8(6):645–663

    Article  Google Scholar 

  • Ivars DM, Pierce ME, Darcel C, Reyes-Montes J, Potyondy DO, Young RP, Cundall PA (2011) The synthetic rock mass approach for jointed rock mass modelling. Int J Rock Mech Min Sci 48(2):219–244

    Article  Google Scholar 

  • Johansson E, Siren T, Hakala M, Kantia P (2012) ONKALO POSE experiment—phase 1&2: execution and monitoring. Working Report 2012-60, Eurajoki: Posiva Oy

  • Katz O, Reches Z (2004) Microfracturing, damage, and failure of brittle granites. J Geophys Res Solid Earth 109:B01206

    Article  Google Scholar 

  • Kumar A, Gupta S, Mishra O, Kumar A (2017) Source parameters and high frequency characteristics of local events (0.5 ≤ ML ≤ 2.9) around Bilaspur region of the Himachal Himalaya. Pure Appl Geophys 174(4):1643–1658

    Article  Google Scholar 

  • Kwiatek G, Plenkers K, Dresen G (2011) Source parameters of picoseismicity recorded at Mponeng deep gold mine, South Africa: implications for scaling relations. Bull Seismol Soc Am 101(6):2592–2608

    Article  Google Scholar 

  • Lim SS, Martin CD, Åkesson U (2012) In-situ stress and microcracking in granite cores with depth. Eng Geol 147:1–13

    Article  Google Scholar 

  • Madariaga R (1976) Dynamics of an expanding circular fault. Bull Seismol Soc Am 66(3):639–666

    Google Scholar 

  • Martin CD (1993) The strength of massive Lac Du Bonnet granite around underground openings. Doctoral dissertation, University of Manitoba

  • Martin CD (1997) Seventeenth Canadian geotechnical colloquium: the effect of cohesion loss and stress path on brittle rock strength. Can Geotech J 34(5):698–725

    Article  Google Scholar 

  • Martin C, Christiansson R (2009) Estimating the potential for spalling around a deep nuclear waste repository in crystalline rock. Int J Rock Mech Min Sci 46(2):219–228

    Article  Google Scholar 

  • McLaskey GC, Kilgore BD, Lockner DA, Beeler NM (2014) Laboratory generated M-6 earthquakes. Pure Appl Geophys 171(10):2601–2615

    Article  Google Scholar 

  • Meglis IL, Chow T, Martin CD, Young RP (2005) Assessing in situ microcrack damage using ultrasonic velocity tomography. Int J Rock Mech Min Sci 42(1):25–34

    Article  Google Scholar 

  • Mortazavi A, Molladavoodi H (2012) A numerical investigation of brittle rock damage model in deep underground openings. Eng Fract Mech 90:101–120

    Article  Google Scholar 

  • Nasseri M, Goodfellow S, Lombos L, Young R (2014) 3-D transport and acoustic properties of Fontainebleau sandstone during true-triaxial deformation experiments. Int J Rock Mech Min Sci 69:1–18

    Article  Google Scholar 

  • Ohtsu M (1995) Acoustic emission theory for moment tensor analysis. J Res Nondestruct Eval 6(3):169–184

    Article  Google Scholar 

  • Read RS (2004) 20 years of excavation response studies at AECL’s underground research laboratory. Int J Rock Mech Min Sci 41(8):1251–1275

    Article  Google Scholar 

  • Read R, Martin C (1996) Technical summary of AECL’s Mine-by Experiment phase I: Excavation response. Report AECL—11311, Atomic Energy of Canada Ltd

  • Reches Z, Lockner DA (1994) Nucleation and growth of faults in brittle rocks. J Geophys Res Solid Earth 99(B9):18159–18173

    Article  Google Scholar 

  • Sellers EJ, Kataka MO, Linzer LM (2003) Source parameters of acoustic emission events and scaling with mining-induced seismicity. J Geophys Res Solid Earth 108(B9):2418

    Article  Google Scholar 

  • Shi L, Li X, Bai B, Li Q, Feng X (2012) Numerical analysis of loading boundary effects in Mogi-type true triaxial tests. In: Kwasniewski M, Li X, Takahashi M (eds) True triaxial testing of rocks. Balkema, Taylor and Francisco Group, pp 19–34

    Google Scholar 

  • Siren T, Hakala M, Valli J, Kantia P, Hudson J, Johansson E (2015) In situ strength and failure mechanisms of migmatitic gneiss and pegmatitic granite at the nuclear waste disposal site in Olkiluoto, Western Finland. Int J Rock Mech Min Sci 79:135–148

    Article  Google Scholar 

  • Stanchits S, Vinciguerra S, Dresen G (2006) Ultrasonic velocities, acoustic emission characteristics and crack damage of basalt and granite. Pure Appl Geophys 163(5–6):975–994

    Article  Google Scholar 

  • Tabari MG (2015) Time-lapse ultrasonic imaging of elastic anisotropy in saturated sandstone under polyaxial stress state. Doctoral dissertation, University of Toronto

  • Tapponnier P, Brace W (1976) Development of stress-induced microcracks in Westerly granite. Int J Rock Mech Min Sci Geomech Abstr 13(4):103–112

    Article  Google Scholar 

  • Tibbo M (2018) A true-triaxial laboratory seismic velocity experiment under in situ stress conditions: a comparison with in situ 3D stress and velocity. Doctoral dissertation, University of Toronto

  • Wu H, Pollard D (1992) Possible secondary fracture patterns due to a change in the direction of loading. In: Proceedings, conference on fractured and jointed rock masses, Lake Tahoe, pp 487–493

  • Yoshimitsu N, Kawakata H, Takahashi N (2014) Magnitude − 7 level earthquakes: a new lower limit of self-similarity in seismic scaling relationships. Geophys Res Lett 41(13):4495–4502

    Article  Google Scholar 

  • Young R, Collins D (2001) Seismic studies of rock fracture at the underground research laboratory, Canada. Int J Rock Mech Min Sci 38(6):787–799

    Article  Google Scholar 

  • Young RP, Martin CD (1993) Potential role of acoustic emission/microseismicity investigations in the site characterization and performance monitoring of nuclear waste repositories. Int J Rock Mech Min Sci Geomech Abstr 30(7):797–803

    Article  Google Scholar 

  • Young RP, Hazzard JF, Pettitt WS (2000) Seismic and micromechanical studies of rock fracture. Geophys Res Lett 27(12):1767–1770

    Article  Google Scholar 

  • Young RP, Nasseri M, Lombos L (2012) Imaging the effect of the intermediate principal stress on strength, deformation and transport properties of rocks using seismic methods. In: Kwasniewski M, Li X, Takahash M (eds) True triaxial testing of rocks. Balkema, Taylor and Francisco Group, pp 167–179

    Google Scholar 

  • Zheng Z, Kemeny J, Cook NG (1989) Analysis of borehole breakouts. J Geophys Research: Solid Earth 94(B6):7171–7182

    Article  Google Scholar 

Download references

Acknowledgements

The first author (Q. Bai) would like to thank the Independent Research Project of State Key Laboratory of Coal Resources and Safe Mining, CUMT (SKLCRSM19X0016), the National Natural Science Foundation of China (No. 51704278), and the International Postdoctoral Exchange Fellowship Program (No. 20160001) for partly supporting his research at the University of Toronto. Financial support for this work also came from the Atomic Energy Canada Limited (AECL) originally described by Paul Young and also his research funding at the University of Toronto.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Qingsheng Bai.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Electronic supplementary material

Below is the link to the electronic supplementary material.

Supplementary material 1 (XLSX 17 kb)

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bai, Q., Tibbo, M., Nasseri, M.H.B. et al. True Triaxial Experimental Investigation of Rock Response Around the Mine-By Tunnel Under an In Situ 3D Stress Path. Rock Mech Rock Eng 52, 3971–3986 (2019). https://doi.org/10.1007/s00603-019-01824-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00603-019-01824-6

Keywords

Navigation