基于正交试验法的气泡帷幕削波特性研究

杜明燃; 陈宇航; 陆少锋; 梁进; 李基锐; 王尹军; 王天照; 陈智凡

doi:10.11858/gywlxb.20230684

基于正交试验法的气泡帷幕削波特性研究

doi: 10.11858/gywlxb.20230684

杜明燃^{1, 2,},
陈宇航¹,
陆少锋^{2, 3},
梁进^{2, 3},
李基锐^{2, 3},
王尹军⁴,
王天照¹,
陈智凡¹

1.
安徽理工大学化学工程学院, 安徽淮南　232001
2.
广西壮族自治区水下破岩工程研究中心, 广西南宁　530200
3.
广西新港湾工程有限公司, 广西南宁　530200
4.
矿冶科技集团有限公司, 北京　100160

基金项目: 安徽省高校科学研究项目（KJ2021A0431）；广西重点研发计划(桂科AB22035001)；安徽省自然科学基金（1908085QA33）；安徽理工大学引进人才科研启动基金（11881）

详细信息

作者简介:
杜明燃（1987－），男，博士，副教授，主要从事炸药性能和爆破技术研究. E-mail：dumingranaust@163.com

中图分类号: O389; TD235
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出版历程
- 收稿日期: 2023-06-20
- 修回日期: 2023-07-03
- 网络出版日期: 2023-11-26
- 刊出日期: 2023-12-15

Bubble Curtain Clipping Characteristics Based on Orthogonal Test Method

DU Mingran^{1, 2
,},
CHEN Yuhang¹,
LU Shaofeng^{2, 3},
LIANG Jin^{2, 3},
LI Jirui^{2, 3},
WANG Yinjun⁴,
WANG Tianzhao¹,
CHEN Zhifan¹

1.
School of Chemical Engineering, Anhui University of Science and Technology, Huainan 232001, Anhui, China
2.
Research Institution of Underwater Rock-Cutting Engineering at Guangxi Zhuang Autonomous Region, Nanning 530200, Guangxi, China
3.
Guangxi New Harbor Engineering Co., Ltd., Nanning 530200, Guangxi, China
4.
BGRIMM Technology Group, Beijing 100160, China

摘要

摘要: 气泡帷幕削波技术的影响因素众多。为了得到气泡帷幕在实际工程应用中的最佳组合方案，利用AUTODYN软件设计3因素3水平正交试验，以冲击波峰值压力的平均削减率作为评价指标，研究了气泡帷幕层数、气泡帷幕爆心距和药包深度对气泡帷幕削波效果的影响和敏感性。结果表明：气泡帷幕的削波能力存在极大值，此后继续增加气泡帷幕层数反而会出现负效应；气泡帷幕层数对气泡帷幕削波效应的影响最大，药包深度次之，气泡帷幕爆心距的影响最小；气泡帷幕爆心距越小，药包深度越大，气泡帷幕的削波效果越好；气泡帷幕层数为2层，气泡帷幕爆心距为1 m，药包深度为10.5 m时，削波效果最好。
- 水下爆炸 /
- 气泡帷幕 /
- 正交试验 /
- 峰值压力 /
- 敏感性
Abstract: There are many influencing factors of bubble curtain clipping technology. In order to obtain the optimal combination of bubble curtain in engineering applications, AUTODYN software was used to design a three factor and three level orthogonal test. The average reduction rate of shock wave peak pressure was used as an evaluation index to study the influence and sensitivity of the number of bubble curtain layers, the burst distance of the bubble curtain and the charge depth on the bubble curtain clipping effect. The results indicate that the clipping ability of the bubble curtain has a great value, and there will be a negative effect if the number of bubble curtain layers continues to increase. The number of bubble curtain layers has the greatest effect on the clipping ability, followed by the charge depth, and the effect of bubble curtain explosion center distance is the smallest. The smaller the burst center distance and the greater the depth of the packet, the better the bubble curtain chipping effect. When the number of bubble curtain layers is 2, the bubble curtain burst distance is 1 m, and the charge depth is 10.5 m, the clipping effect is the best.
- underwater explosion /
- bubble curtain /
- orthogonal test /
- peak pressure /
- sensitivity

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图 1 数值计算模型示意图

Figure 1. Schematic diagram of the numerical simulation model

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图 2 气泡帷幕试验布局

Figure 2. Layout of the bubble curtain test

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图 3 设置1层气泡帷幕时测点C₁和C₂处的压力时程曲线

Figure 3. Shock wave pressure-time curves at measurement points C₁ and C₂ for one layer of bubble curtain

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图 4 无气泡帷幕时冲击波压力时程曲线

Figure 4. Time course curves of shock wave pressure without bubble curtain

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图 5 有气泡帷幕时的冲击波压力时程曲线

Figure 5. Time course curves of shock wave pressure with bubble curtain

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图 6 水平与指标的关系

Figure 6. Relationship between level and indicators

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表 1 炸药的材料参数

Table 1. Material parameters of explosive

ρ/(g·cm⁻³)	D/(km·s⁻¹)	p_C-J/GPa	A/GPa	B/GPa	R₁	R₂	ω	E/(kJ·g⁻¹)
1.30	4.5	9.80	214.4	0.182	4.15	0.95	0.15	4.19

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表 2 水的材料参数

Table 2. Material parameters of water

ρ/(g·cm⁻³)	A₁/GPa	A₂/GPa	A₃/GPa	B₀	B₁	T₁/GPa	T₂/GPa	ω
1.000	2.2	9.54	14.57	0.28	0.28	2.2	0	0.150

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表 3 不同气泡帷幕层数下水下爆炸冲击波峰值压力

Table 3. Peak pressure of underwater blast shock wave for different bubble curtain layers

Test No.	N	On-site test			Simulation
		p_max/MPa		δ/%	p_max/MPa		δ/%
		C₁	C₂	δ/%	C₁	C₂	δ/%
1	1	1.883	0.154	91.82	1.750	0.291	83.37
2	1	1.789	0.228	87.26	1.750	0.291	83.37
3	2	1.675	0.157	90.63	1.750	0.116	93.37
4	2	1.486	0.108	92.73	1.750	0.116	93.37
5	3	1.862	0.247	86.73	1.750	0.248	85.83
6	3	1.764	0.196	88.89	1.750	0.248	85.83

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表 4 正交试验设计因素和水平

Table 4. Orthogonal test design factors and levels

Level	Factor
Level	N	D/m	H/m
1	1	1	2.5
2	2	3	6.5
3	3	5	10.5

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表 5 正交试验方案

Table 5. Orthogonal test protocols

No.	Level			Test programme	No.	Level			Test programme
No.	N	D	H	Test programme	No.	N	D	H	Test programme
1	1	1	1	A₁B₁C₁	6	2	3	1	A₂B₃C₁
2	1	2	2	A₁B₂C₂	7	3	1	3	A₃B₁C₃
3	1	3	3	A₁B₃C₃	8	3	2	1	A₃B₂C₁
4	2	1	2	A₂B₁C₂	9	3	3	2	A₃B₃C₂
5	2	2	3	A₂B₂C₃

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表 6 空白对照组数据

Table 6. Data of blank control group

No.	H/m	Point	p_max/MPa	t_p/ms	No.	H/m	Point	p_max/MPa	t_p/ms
1	2.5	1	4.108	3.952	3	10.5	1	4.187	3.954
		2	2.456	6.001			2	2.533	6.001
		3	1.531	8.006			3	1.708	8.002
2	6.5	1	4.148	3.954
		2	2.494	6.002
		3	1.688	8.016

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表 7 正交试验数据

Table 7. Orthogonal test data

Test No.	Programme	N	D/m	H/m	p_max/MPa			δ/%
Test No.	Programme	N	D/m	H/m	Point 1	Point 2	Point 3	δ/%
1	A₁B₁C₁	1	1	2.5	0.341	0.314	0.295	86.55
2	A₁B₂C₂	1	3	6.5	0.320	0.278	0.261	88.56
3	A₁B₃C₃	1	5	10.5	0.355	0.286	0.264	88.26
4	A₂B₁C₂	2	1	6.5	0.122	0.113	0.106	95.42
5	A₂B₂C₃	2	3	10.5	0.132	0.118	0.107	95.31
6	A₂B₃C₁	2	5	2.5	0.146	0.121	0.109	94.80
7	A₃B₁C₃	3	1	10.5	0.275	0.260	0.250	89.51
8	A₃B₂C₁	3	3	2.5	0.372	0.332	0.308	85.77
9	A₃B₃C₂	3	5	6.5	0.412	0.305	0.274	87.20

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表 8 极差分析结果

Table 8. Results of the variance analysis

Factor	K₁	K₂	K₃	k₁	k₂	k₃	R
N	263.37	285.53	262.48	87.79	95.18	87.49	7.68
D	271.48	269.64	270.26	90.49	89.88	90.09	0.61
H	267.12	271.18	273.08	89.04	90.39	91.03	1.99

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表 9 方差分析结果

Table 9. Results of variance analysis

Sources of variance	S	f	$ \bar S $	F	Significance-effect
N	113.68	2	56.84	38.81	Yes
D	3.48	2	1.74	1.19	No
H	6.18	2	3.09	2.11	No
Error	2.93	2	1.46
Sum	126.27	8

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