Blasting Characteristics of Eccentric Uncoupled Charges under Different Damage Models

doi:10.11988/ckyyb.20230666

Abstract

Abstract:

In practical blasting engineering, the charge often assumes an eccentric and uncoupled position relative to the blast hole due to its own weight. This charge arrangement results in a non-uniform distribution of blasting load on the surrounding rock mass, leading to variations in explosion energy and damage patterns near the blast hole. Single-hole rock blasting structure was numerically simulated by using the HJC model and RHT model to investigate the blasting dynamic response and damage characteristics of eccentric uncoupled charge under different constitutive models. Results reveal that, in the simulation environment in this study, concentric uncoupled charges cause uniform damage around the hole. However, the damage range predicted by the RHT model is nearly twice that predicted by the HJC model. As the eccentricity coefficient increases, the HJC model shows greater damage on the coupled side of the hole, while the RHT model exhibits an uneven distribution of damage between the coupled and uncoupled sides of the borehole. In conclusion, the RHT model more accurately describes rock crack propagation in actual blasting scenarios.

Key words: numerical simulation, eccentric uncoupling, damage model, blasting load, extent of damage

CLC Number:

X932爆炸安全与防火、防爆

LIANG Rui, QI Fang-xia, ZHOU Wen-hai, LI Sheng-rong, LOU Xiao-ming. Blasting Characteristics of Eccentric Uncoupled Charges under Different Damage Models[J]. Journal of Yangtze River Scientific Research Institute, 2024, 41(9): 98-105.

Figures/Tables 13

Fig.1 Diagram of HJC constitutive model

Fig. 2 Diagram of RHT constitutive model

Table 1 Model parameters[16]

HJC模型数值数值ρ/(kg·m^-3)ρ/(kg·m^-3)	RHT模型参数参数2 6602 660
G/GPaSHEAR/GPa	1717
f_c/MPaf_c/MPa	150150
AA₀	0.792.50
BN'	0.610.85
Nn	1.63
CA₁/GPa	0.00743.87
S_maxA₂/GPa	7.049.40
D₁A₃/GPa	0.0411.62
D₂B₁	1.01.22
T/MPaB₂	1.01.22
P_c/MPaB_Q	160.010 5
$P l$ /MPaT₁/GPa	80043.87
μ_cT₂	0.0010
μ_l $D 1$	0.10.04
$SFMAXD 2$	5.01.0
EFMINP_l/MPa	0.01600
K₁/GPaP_c/MPa	85133
$K 2$ /GPaB^*	-1711.6
K₃/GPaGC^*	2080.4
GT^*	0.7
M	0.85
Q_2,0	0.685
AF	1.62
NF	0.6
NP	4
ALPHA	1.10

Table 1 Model parameters[16]

HJC模型数值数值ρ/(kg·m^-3)ρ/(kg·m^-3)	RHT模型参数参数2 6602 660
G/GPaSHEAR/GPa	1717
f_c/MPaf_c/MPa	150150
AA₀	0.792.50
BN'	0.610.85
Nn	1.63
CA₁/GPa	0.00743.87
S_maxA₂/GPa	7.049.40
D₁A₃/GPa	0.0411.62
D₂B₁	1.01.22
T/MPaB₂	1.01.22
P_c/MPaB_Q	160.010 5
$P l$ /MPaT₁/GPa	80043.87
μ_cT₂	0.0010
μ_l $D 1$	0.10.04
$SFMAXD 2$	5.01.0
EFMINP_l/MPa	0.01600
K₁/GPaP_c/MPa	85133
$K 2$ /GPaB^*	-1711.6
K₃/GPaGC^*	2080.4
GT^*	0.7
M	0.85
Q_2,0	0.685
AF	1.62
NF	0.6
NP	4
ALPHA	1.10

Table 2 Physical and mechanical parameters of blast charge

$ρ 0$ / (kg·m^-3)	$v$ / (m·s^-1)	P/ GPa	A'/ GPa	B'/ GPa	$R 1$	$R 2$	ω	E₀/ GPa
1 500	5 122	9.53	276.2	8.44	5.2	2.1	0.5	3.87

Table 2 Physical and mechanical parameters of blast charge

$ρ 0$ / (kg·m^-3)	$v$ / (m·s^-1)	P/ GPa	A'/ GPa	B'/ GPa	$R 1$	$R 2$	ω	E₀/ GPa
1 500	5 122	9.53	276.2	8.44	5.2	2.1	0.5	3.87

Fig.3 Contours of effective stress of HJC model and RHT model at different moments

Fig.4 Rock damage clouds of HJC model and RHT model at different moments

Fig. 5 Comparison between numerical simulation and test results

Fig.6 Schematic diagram of monitoring points

Fig.7 Effective stresses of rock body at 230 μs

Fig.8 Effective stresses of rock body at 630 μs

Fig.9 Time-history curves of effective stress under different eccentricity coefficients of HJC model and RHT Model

Fig.10 Rock damage clouds under different eccentricity coefficients of HJC model and RHT model

Fig.11 Curves of damage radius of rock mass under different eccentricity coefficients

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