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Frontiers of Structural and Civil Engineering

ISSN 2095-2430

ISSN 2095-2449(Online)

CN 10-1023/X

Postal Subscription Code 80-968

2018 Impact Factor: 1.272

Front. Struct. Civ. Eng.    2024, Vol. 18 Issue (2) : 236-251    https://doi.org/10.1007/s11709-024-1009-y
Blast damage zone strength reduction method for deep cavern excavation and its application
Tianzhi YAO1, Zuguo MO1, Li QIAN1(), Yunpeng GAO1, Jianhai ZHANG1, Xianglin XING2, Enlong LIU1, Ru ZHANG1
1. State Key Laboratory of Hydraulics and Mountain River Engineering, College of Water Resources and Hydropower, Sichuan University, Chengdu 610065, China
2. Power China Chengdu Engineering Corporation Limited, Chengdu 610072, China
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Abstract

The drill and blast (D&B) method is widely used to excavate underground spaces, but explosions generally cause damage to the rock. Still, no blast simulation method can provide computational accuracy and efficiency. In this paper, a blast equivalent simulation method called the blast damage zone strength reduction (BDZSR) method is proposed. This method first calculates the range of the blast-induced damage zone (BDZ) by formulae, then reduces the strength and deformation parameters of the rock within the BDZ ahead of excavation, and finally calculates the excavation damage zone (EDZ) for the D&B method by numerical simulation. This method combines stress wave attenuation, rock damage criteria and stress path variation to derive the BDZ depth calculation formulae. The formulae consider the initial geo-stress, and the reliability is verified by numerical simulations. The calculation of BDZ depth with these formulae allows the corresponding numerical simulation to avoid the time-consuming dynamic calculation process, thus greatly enhancing the calculation efficiency. The method was applied to the excavation in Jinping Class II hydropower station to verify its feasibility. The results show that the BDZSR method can be applied to blast simulation of underground caverns and provide a new way to study blast-induced damage.

Keywords attenuation of stress wave      deep-buried underground building      drill and blast      in situ stress     
Corresponding Author(s): Li QIAN   
Just Accepted Date: 03 April 2024   Online First Date: 23 May 2024    Issue Date: 07 June 2024
 Cite this article:   
Tianzhi YAO,Zuguo MO,Li QIAN, et al. Blast damage zone strength reduction method for deep cavern excavation and its application[J]. Front. Struct. Civ. Eng., 2024, 18(2): 236-251.
 URL:  
https://academic.hep.com.cn/fsce/EN/10.1007/s11709-024-1009-y
https://academic.hep.com.cn/fsce/EN/Y2024/V18/I2/236
Fig.1  Time-history curves of the blast load.
Fig.2  Composite damage model.
Distance from the blastholeDamage zones defined by this paperDamage zones defined by blasting theory
rbR1CDZcrush zone
R1R2SDZfracture zone
R2R3TDZ
R > R3elastic zoneelastic vibration zone
Tab.1  Relationship and location of the damage zone defined by blasting theory in this paper
Fig.3  Distribution of blast damage area.
Fig.4  Numerical model for BDZ calculation.
Density ρ (kg·m–3)Elastic modulus E (GPa)Poisson’s ratio υTensile strength σt (MPa)Compressive strength σc (MPa)Cohesion c (MPa)Friction angle φ (° )
2700300.2250345
Tab.2  Mechanical parameters of rock masses for the FLAC3D calculation model
Fig.5  Inhibition of blast damage zone development by in situ stress3.
Fig.6  Depths of the damage zones for different lateral pressure coefficients at an initial maximum principal stress of 20 MPa: (a) λ = 0.7; (b) λ = 0.8; (c) λ = 0.9; (d) λ = 1.0 (Note: Red is the CDZ, and purple is the SDZ.).
Initial maximum principal stress (MPa)Calculation methodRelative error (%)
Numerical simulation (m)Formula (m)
100.12290.11942.8
150.12080.11415.5
200.10720.10982.4
250.10720.10591.2
300.10720.10244.5
Tab.3  Comparison of the CDZ depth between Eq. (18) and the numerical simulation for different initial maximum principal stresses
Fig.7  Stress paths for different lateral pressure coefficients.
Lateral pressure coefficientInitial maximum principal stress σ01 (MPa)SDZ calculated by numerical simulation R2 (m)SDZ calculated by the formula R2 (m)Relative error (%)
0.7100.53050.49646.4
150.38110.35387.1
200.28150.26426.1
250.20680.20182.4
300.18190.154615
0.8100.45580.46211.4
150.30640.32525.8
200.23170.24284.6
250.18190.18551.9
300.15700.142110
0.9100.38110.38791.8
150.25660.27547.3
200.18190.206514
250.15700.15827.9
300.13210.12148.1
1.0100.36860.34922.0
150.24410.24817.1
200.19430.18612.3
250.14450.14268.0
300.10720.10942.1
Tab.4  Comparison of the results calculated by numerical simulation and the formula
Fig.8  Relative error between numerical simulation and formula calculation results.
Fig.9  Damage zone at different lateral pressure coefficients with an initial maximum principal stress of 10 MPa: (a) λ = 0.7; (b) λ = 0.8; (c) λ = 0.9; (d) λ = 1.0.
Fig.10  Damage zone at different lateral pressure coefficients with an initial maximum principal stress of 15 MPa: (a) λ = 0.7; (b) λ = 0.8; (c) λ = 0.9; (d) λ = 1.0.
Fig.11  Damage zone at different lateral pressure coefficients with an initial maximum principal stress of 20 MPa: (a) λ = 0.7; (b) λ = 0.8; (c) λ = 0.9; (d) λ = 1.0.
Fig.12  Damage zone at different lateral pressure coefficients with an initial maximum principal stress of 25 MPa: (a) λ = 0.7; (b) λ = 0.8; (c) λ = 0.9; (d) λ = 1.0.
Fig.13  Damage zone at different lateral pressure coefficients with an initial maximum principal stress of 30 MPa: (a) λ = 0.7; (b) λ = 0.8; (c) λ = 0.9; (d) λ = 1.0.
Fig.14  Evaluation process of the BDZSR method.
Fig.15  Numerical simulation model.
Fig.16  Location of the blasthole.
Density ρ (kg·m–3)Young’s modules E (GPa)Poisson’s ratio υCompressive strength σc (MPa)Tensile strength σt (MPa)Cohesion c (MPa)Friction φ (° )
2700300.25702338
Tab.5  Rock mechanical parameters for the numerical simulation
Fig.17  Acoustic test hole monitoring locations.
Fig.18  BDZ calculated by the presented formulae.
Measured hole numberMeasured depth of damage (m)Depth of damage without consideration of blasting (m)Depth of damage with consideration of blasting (m)Relative error without consideration of blasting (%)Relative error with consideration of blasting (%)
11.801.701.775.51.7
21.201.161.243.33.3
31.201.341.3711.714.2
40.800.540.8421.25.0
51.200.981.1618.33.3
61.401.131.3319.35.0
71.201.171.312.59.1
80.600.720.8120.035
91.401.331.575.012
101.601.261.5227.05.0
average1.241.161.3014.78.9
Tab.6  Comparison of measured results with numerical calculations with and without considering a blasting load
Fig.19  EDZ distribution calculated by numerical simulation: (a) EDZ considering a blasting load; (b) EDZ ignoring blasting load.
Fig.20  Blast load equivalent application method.
Fig.21  Damage zone calculated by the equivalent load method.
Measurement hole numberMeasured depth (m)Damage depth calculated by the BDZSR method (m)Damage depth calculated by equivalent load method (m)Relative error of the BDZSR method (%)Relative error of the equivalent load (%)
11.801.772.061.714.4
21.201.240.953.320.8
31.201.371.6214.235.0
40.800.840.925.015.0
51.201.161.353.312.5
61.401.331.555.05.7
71.201.311.429.118.3
80.600.810.9435.056.7
91.401.571.6812.020.0
101.601.521.645.02.5
average1.241.171.438.919.2
Tab.7  Comparison of the calculation results between the BDZSR and equivalent load methods
Fig.22  Comparison of calculation results and efficiency of the BDZSR and equivalent load methods.
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