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Gold Science and Technology ›› 2022, Vol. 30 ›› Issue (3): 414-426.doi: 10.11872/j.issn.1005-2518.2022.03.130

• Mining Technology and Mine Management • Previous Articles     Next Articles

Numerical Simulation of Homogeneous Rock Mass Damage Caused by Two-hole Simultaneous Blasting Based on RHT Model

Weihua WANG(),Yang LIU(),Liwei ZHANG,Henggen ZHANG   

  1. School of Resources and Safety Engineering，Central South University，Changsha 410083，Hunan，China
  • Received:2021-09-17 Revised:2022-03-10 Online:2022-06-30 Published:2022-09-14
  • Contact: Yang LIU E-mail:xhaiyz@163.com;1137510136@qq.com

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Abstract:

Due to the complex nature of rock mass and the different transfer modes of explosive energy，it is difficult to control the blasting process and blasting effect.After blasting，the damage of rock mass around blast holes is related to the bearing capacity and stability of the project.In order to explore the influence of blast hole spacing and additional free surface on the blasting process and effect during double-hole blasting，a double-hole blasting model was established based on RHT （Riedel Hiermaier Thoma） damage constitutive model by using LS-DYNA finite element software to simulate rock blasting damage under different working conditions.The experiment of previous scholars was repeated by numerical simulation，and the test results were compared with the numerical simulation results in this paper to verify the feasibility of the numerical simulation method and the rationality of the selection of material parameters.Through the comparative analysis between numerical simulation results and blasting experimental results，it is determined that the rock blasting damage threshold applicable to this paper is 0.5 based on the blasting mechanism，and the rock damage value greater than 0.5，which is called the effective damage of rock.The effective damage rate of rock is defined as the proportion of the effective damage range of rock in the plane damage cloud map to the total plane area.The change of effective damage rate of rock is used to intuitively show the temporal and spatial evolution law of rock damage in the blasting process.The rock damage nephograms at different times were intercepted to observe the damage in different directions of the rock after blasting.The damage nephograms were processed by LS-PrePost to obtain the distribution range of effective damage on the plane.Then，the MATLAB program was used to calculate the effective damage rate，and the numerical calculation and analysis were carried out.The results show that the effective damage rate of rock decreases with the increase of blast hole spacing，and the effective damage rate at the same section is the largest in the scheme with the smallest blast hole spacing.The superposition effect of blasting energy between adjacent blastholes decreases with the increase of blast hole spacing，and a more ideal blasting effect can be obtained with an appropriate blast hole spacing.The effective damage rate of rock decreases gradually with the increase of the distance between the free surface and the center of the blast hole，and the blasting energy tends to propagate to the free surface.The influence of additional free surface on the distribution of blasting energy decreases with the increase of the distance between the free surface and the blast hole.

Key words: double-hole blasting, numerical simulation, RHT model, hole spacing, free surface, effective damage rate of rock

CLC Number: 

  • TD235

Table 1

Basic parameters of rock RHT model"

参数符号参数名称取值
RO密度/（kg·m-3）2 660
FS*相对抗剪强度/MPa0.21
FT*相对抗拉强度/MPa0.04
SHEAR弹性剪切模量/GPa21.9
FC单轴抗压强度/MPa167.8
D1损伤系数0.04
D21
EOC参考压缩应变率3.0E-5
EOT参考拉伸应变率3.0E-6
EC失效压缩应变率3.0E+25
ET失效拉伸应变率3.0E+25
BETAC压缩应变率指数0.0074
BETAT拉伸应变率指数0.0104
A失效面参数2.51
N0.72
Q0拉—压子午比参数0.68
B罗德角相关系数0.05
GC*压缩屈服面参数0.53
GT*拉伸屈服面参数0.7
PFT压缩对拉伸塑性流动的影响0.001
EPSF侵蚀塑性应变2.0
XI剪切模量衰减系数0.5
EPM最小失效应变0.015
AF残余强度面参数0.25
NF0.62
ALPHA初始空隙率1.08
NP孔隙度指数3.0
PEL压碎压力/MPa115.4
PCO压实压力/GPa6
GAMMA状态方程参数（体积压缩）/GPa0.0
A136.22
A253.22
A323.15
B0状态方程参数1.22
B11.22
T1状态方程参数（体积膨胀）/GPa36.22
T20.0

Table 2

Explosive material parameter"

参数取值参数取值
Ρ/（kg·m-3）1 300R14.2
D/（m·s-1）4 000R20.9
A/kPa2 14.4ω0.15
B/kPa0.182E0/kPa4.192

Table 3

Air material parameter"

参数取值参数取值
ρ/（kg·m-3）1.29C40.4
C00C50.4
C10C60
C20E0/kPa2.5
C30

Fig.1

Comparison between numerical simulation and model test results"

Fig.2

Peak rock pressure at different distances from the blasthole wall"

Fig.3

Distribution range of rock with different damage degrees"

Fig.4

Schematic diagram of blast hole filling structure and numerical model of double hole blasting （blast hole spacing is 0.6 m）"

Fig.5

Damage nephogram of double hole blasting at typical time"

Fig.6

Final rock damage distribution map of each scheme of double-hole blasting under different hole spacing"

Fig.7

Schematic of “slice” of double hole blasting（taking the hole spacing of 0.6 m as an example）"

Fig.8

Radial effective damage rates of each scheme in X1 and X2 directions"

Fig.9

Schematic diagram of blast hole filling structure with two free surfaces and numerical model of double hole blasting （blast holes are 0.6 m away from the free surface）"

Fig. 10

Damage nephogram of rock at typical time"

Fig. 11

Post-explosion cavities for each scheme"

Fig. 12

Radial effective damage rates of each scheme in Y1 and Y2 directions"

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