岩石钻孔爆破粉碎区计算模型的改进

冷振东; 卢文波; 陈明; 严鹏; 胡英国

doi:10.11883/1001-1455(2015)01-0101-07

岩石钻孔爆破粉碎区计算模型的改进

doi: 10.11883/1001-1455(2015)01-0101-07

冷振东^{1, 2},
卢文波^{1, 2, ,},
陈明^{1, 2},
严鹏^{1, 2},
胡英国^{1, 2}

1.
武汉大学水资源与水电工程科学国家重点实验室，湖北武汉 430072
2.
武汉大学水工岩石力学教育部重点实验室，湖北武汉 430072

基金项目: 国家自然科学基金项目(51125037，51279135)；国家重点基础研究发展计划(973计划)项目(2011CB013501)；高等学校博士学科点专项科研基金项目(20110141110026)

详细信息

作者简介:
冷振东(1989—), 男, 博士研究生

通讯作者:
卢文波, wblu@whu.edu.cn

中图分类号: O383.1;TV554
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- 文章访问数: 3234
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- 被引次数: 0
出版历程
- 收稿日期: 2013-05-03
- 修回日期: 2013-07-25
- 刊出日期: 2015-01-25

Improved calculation model for the size of crushed zone around blasthole

Leng Zhen-dong^{1, 2},
Lu Wen-bo^{1, 2
, ,},
Chen Ming^{1, 2},
Yan Peng^{1, 2},
Hu Ying-guo^{1, 2}

1.
State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, Hubei, China
2.
Key Laboratory of Rock Mechanics in Hydraulic Structural Engineering Ministry of Education, Wuhan University, Wuhan 430072, Hubei, China

摘要

摘要: 为了研究炮孔周围岩石的破坏机理，准确预测粉碎区的范围，提出了一种计算钻孔爆破粉碎区范围的改进模型。该四分区模型考虑了破裂区内侧的环向压应力和炮孔空腔膨胀的影响，假定粉碎区为丧失了内聚力但仍具有内摩擦力的散体介质。采用弹塑性力学理论推导了柱状装药起爆条件下的岩石钻孔爆破粉碎区半径公式。计算结果表明，岩石钻孔爆破粉碎区范围通常为1.2~5.0倍炮孔半径，不同种类岩石的粉碎区范围差别很大。与其他计算模型相比，本模型的计算结果与实验数据更吻合。
- 爆炸力学 /
- 计算模型 /
- 环向应力 /
- 粉碎区 /
- 改进 /
- 空腔膨胀
Abstract: To explore the breakage mechanism of rocks around the blasthole and to accurately predict the size of the crushed zone in drilling and blasting, an improved calculation model for calculation the size of the crushed zone was presented. The four-region model was established with hoop compressive stress in the inner part of fractured zone and cavity expansion effect taken into account. The material in the crushed zone is assumed to be granular medium without cohesion but with internal friction. On this basis, the formula for the crushed zone radius in drilling blasting is derived by elastic-plastic mechanics theory. The analysis shows that the size of the crushed zone ranges from 1.2 to 5.0 times of the blasthole radius, and there are notable discrepancies among rock types. Compared with other models, the improved model is in better agreement with the experiment data.
- mechanics of explosion /
- calculation model /
- hoop stress /
- crushed zone /
- improvement /
- cavity expansion

HTML全文

图 1 传统模型和改进模型的岩石钻孔爆破破坏分区示意图

Figure 1. Image of the damage zones surrounding a blasthole under blasting in traditional and improved calculation model

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图 2 不同计算模型的粉碎区计算结果b_*m和实验数据*m对比

Figure 2. Comparison of different models with full scale blasting experiments

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表 1 各种岩石的物理力学参数

Table 1. Physico-mechnical properties of different rocks

岩石类型	[σ_c]/MPa	[σ_t]/MPa	E/GPa	θ/(°)	ρ_m/(kg·m^-3)	ν
石英岩	250	20	70	48	2 670	0.26
花岗岩	150	15	50	50	2 670	0.24
石灰岩	60	6	35	43	2 500	0.23
粉砂岩	40	3	30	41	2 600	0.22

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表 2 不同粉碎区范围计算模型的计算结果对比

Table 2. Comparison of crushing zone models in full scale blasting conditions

岩石类型	装药结构	炸药类型	b_*m/r_b
岩石类型	装药结构	炸药类型	Il’yushin 模型	Szuladzinski 模型	Djordjevic 模型	Kanchibotla 模型	Esen 模型	戴俊模型	改进模型
石英岩	耦合	铵油	5.08	1.68	1.74	3.42	1.00	1.54	1.16
石英岩	耦合	乳化	5.45	1.81	2.14	4.20	1.04	1.79	1.31
花岗岩	耦合	铵油	5.81	2.17	2.01	4.41	1.06	1.79	1.36
	耦合	乳化	6.22	2.34	2.48	5.42	1.39	2.08	1.55
	K=3	Gurit	2.91	1.79	1.00	1.76	1.00	1.00	1.00
石灰岩	耦合	铵油	9.04	3.43	3.18	6.97	1.71	2.71	2.18
石灰岩	耦合	乳化	9.69	3.70	3.91	8.58	2.25	3.12	2.52
粉砂岩	耦合	铵油	10.76	4.20	4.50	8.54	2.11	3.19	2.76
粉砂岩	耦合	乳化	11.53	4.53	5.54	10.50	2.77	3.67	2.95
注：K为径向不耦合系数，K=炮孔直径\装药直径。

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参考文献(20)

[1]	Melnikov N V. Influence of explosive charge design on results of blasting[C]//International Symposium on Mining Research. Clark G B. London, Pergamon, 1962: 147-155.
[2]	朱红兵, 卢文波, 吴亮.空气间隔装药爆破机理研究[J].岩土力学, 2007, 28(5): 986-989. http://d.wanfangdata.com.cn/Periodical/ytlx200705025 Zhu Hong-bing, Lu Wen-bo, Wu Liang. Research on mechanism of air-decking technique in bench blasting[J]. Chinese Journal of Rock and Soil Mechanics, 2007, 28(5): 986-989. http://d.wanfangdata.com.cn/Periodical/ytlx200705025
[3]	王明洋, 邓宏见, 钱七虎.岩石中侵彻与爆炸作用的近区问题研究[J].岩石力学与工程学报, 2005, 24(16): 2859-2863. http://www.cnki.com.cn/Article/CJFDTotal-YSLX200516009.htm Wang Ming-yang, Deng Hong-jian, Qian Qi-hu. Study on problems of near cavity of penetration and explosion in rock[J]. Chinese Journal of Rock Mechanics and Engineering, 2005, 24(16): 2859-2863. http://www.cnki.com.cn/Article/CJFDTotal-YSLX200516009.htm
[4]	Jimeno E L, Carcedo F J A. Drilling and blasting of rocks[M]. Taylor & Francis Group, 1995.
[5]	Ouchterlony F, Moser P. On the branching-merging mechanism during dynamic crack growth as a major source of fines in rock blasting[C]//The 10th International Symposium on Rock Fragmentation by Blasting. New Delhi, India, 2012: 65-75.
[6]	钱七虎.岩石爆炸动力学的若干进展[J].岩石力学与工程学报, 2009, 28(10): 1945-1968. http://d.wanfangdata.com.cn/Periodical/yslxygcxb200910001 Qian Qi-hu. Some advances in rock blasting dynamics[J]. Chinese Journal of Rock Mechanics and Engineering, 2009, 28(10): 1945-1968. http://d.wanfangdata.com.cn/Periodical/yslxygcxb200910001
[7]	Szuladzinski G. Response of rock medium to explosive borehole pressure[C]//Proceedings of the Fourth International Symposium on Rock Fragmentation by Blasting-Fragblast-4. Vienna, Austria, 1993: 17-23.
[8]	Djordjevic N. A two-component of blast fragmentation[C]//Proceedings of the Sixth International Symposium on Rock Fragmentation by Blasting-Fragblast. Johannesburg, South Africa, 1999: 213-222.
[9]	Hustrulid W A. Blasting principles for open pit mining-Theoretical foundations[M]. Rotterdam: Balkema, 1999.
[10]	Vovk A A, Mikhalyuk A V, Belinskii I V. Development of fracture zones in rocks during camouflet blasting[J]. Journal of Mining Science, 1973, 9(4): 383-387. doi: 10.1007/BF02501169
[11]	Kanchibotla S S, Valery W, Morrell S. Modelling fines in blast fragmentation and its impact on crushing and grinding[C]//Proceedings of Explo'99-A Conference on Rock Breaking. Kalgoorlie, Australia, 1999: 137-181.
[12]	Esen S, Onederra I, Bilgin H A. Modelling the size of the crushed zone around a blast hole[J]. International Journal of Rock Mechanics and Mining Sciences, 2003, 40(4): 485-495. http://www.sciencedirect.com/science/article/pii/S1365160903000182
[13]	戴俊.岩石动力学特性与爆破理论[M].北京: 冶金工业出版社, 2002.
[14]	Hagan T N, Gibson I M. Lower blasthole pressures: A means of reducing costs when blasting rocks of low to moderate strength[J]. International Journal of Mining and Geological Engineering, 1988, 6(1): 1-13. doi: 10.1007/BF00881023
[15]	Ghosh A. Fractal and numerical models of explosive rock fragmentation[D]. Tucson: The University of Arizona, 1990.
[16]	Rakishev B, Rakisheva Z B. Basic characteristics of the stages of rock massif destruction by explosive crushing[C]//Asia-Pacific Symposium on Blasting Techniques. Kunming, China, 2011: 65-69.
[17]	亨利奇.爆炸动力学及其应用[M].熊建国, 等, 译.北京: 科学出版社, 1987.
[18]	杨善元.岩石爆破动力学基础[M].北京: 煤炭工业出版社, 1991.
[19]	Olsson M, Bergqvist I. Crack lengths from explosives in multiple hole blasting[C]//The Fifth International Symposium on Rock Fragmentation by Blasting. Montreal, Quebec, Canada, 1996: 187-191.
[20]	Slaughter S. Investigation of coal fines[R]. Internal Report, Julius Kruttschnitt Mineral Research Centre(JKMRC), Australia, 1991.