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| Calculation of modified charge amount per delay in non-electric initiation network and its application in onsite PPV prediction |
| HE Li1,2, YANG Renshu2, ZHONG Dongwang1, XIE Lianku3， ZHANG Kui4， YANG Lei5 |
1. Hubei Province Key Laboratory of Systems Science in Metallurgical Process, Wuhan University of Science and Technology, Wuhan 430065, China;
2. School of Civil and Resource Engineering, University of Science and Technology Beijing, Beijing 100083, China;
3. Beijing General Research Institute of Mining & Metallu, Beijing 100160, China;
4. Hubei Haosheng Blasting Engineering Co., Ltd., Shiyan 442012, China;
5. Wuhan Construction Engineering Municipal Engineering Co., Ltd., Wuhan 430000, China |
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Abstract There are few studies on the dispersion of initiation time of blast-holes with simultaneous initiation and the blasting vibration superposition in adjacent delay time caused by the delay error of detonators, which brings great difficulties to determine the charge quantity per delay and accurately predict particle peak vibration velocity (PPV) in non-electric initiation network. Considering the normal distribution of detonator delay error for non-electric initiation network, the influence of Nonel detonator no. and delay error on the overlapping degree of initiation time interval was analyzed by probability theory, and the probability calculation model (PCM) of the number of blast-holes (rows) initiated at the same time was constructed. The discrete effect of the initiation time blast-holes with simultaneous initiation and the value method of equivalent charge weight were studied, and the concept and calculation method of modified charge weight per delay were proposed, which was applied to PPV prediction. The results show that, the accumulation of delay error in blasting network results in significant superposition phenomenon of blasting vibration, which leads to the actual charge weight per delay of non-electric initiation network larger than the design value. The expected values of rows of simultaneous initiation blast-holes is 2.35 for the non-electric initiation network using no.3 Nonel detonator to relay detonation outside the blast-hole and no. 11 Nonel detonator to detonate inside the blast-hole. The expected values of rows of simultaneous initiation blast-holes is 4.67 for the non-electric initiation network using no.2 Nonel detonator to relay detonation outside the blast-hole and no. 9 Nonel detonator to detonate inside the blast-hole. The PPV for multi-hole simultaneous blasting is smaller than single-hole blasting when the total charge weight is identical, in the hence the equivalent charge weight of simultaneous initiation blast-holes should be smaller than the total charge weight, which can be calculated by converting the number of holes with scale factor. The regression of blasting vibration velocity model with modified charge weight per delay based on PCM has good fitting effect. The ARE is 5.2% and 8.5%, and RMSE is 0.59 cm/s and 0.85 cm/s between PPV predicted value and monitoring value in the two engineering applications. The PPV of different blasting times can be predicted according to the same vibration velocity model using modified charge weight per delay, which can save the cost of vibration monitoring. The research results can provide reference for blasting network design and vibration control in engineering practice.
Key words: detonator delay error; non-electric initiation network; charge weight per delay; discrete effect; particle peak vibration velocity
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Received: 22 December 2021
Published: 15 August 2022
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