多孔冲击下超临界CO<sub>2</sub>相变破岩半径计算模型*

曾启富; 阿比尔的; 刘明维; 蒋明镜; 杜洪波

doi:10.11883/bzycj-2024-0443

多孔冲击下超临界CO₂相变破岩半径计算模型*

doi: 10.11883/bzycj-2024-0443

1.
重庆交通大学山区公路水运交通地质减灾重庆市教委重点实验室，重庆 400074
2.
苏州科技大学土木工程学院，江苏苏州 215009
3.
同济大学土木工程减灾国家重点实验室，上海 200092

基金项目: 国家自然科学基金（41907261）；重庆市自然科学基金（CSTB2023NSCQ-MSX0913）；重庆市研究生科研创新项目（CYB23253）

详细信息

作者简介:
曾启富（1997－　），男，博士研究生，zengqifu2513@126.com

通讯作者:
阿比尔的（1988－　），男，博士，副教授，abierdi@163.com

中图分类号: O389
计量
- 文章访问数: 188
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- 被引次数: 0
出版历程
- 收稿日期: 2024-11-12
- 修回日期: 2025-05-06
- 网络出版日期: 2025-05-07

Computational modeling and validation of rock-breaking radius by supercritical CO₂ phase transition considering porous impacts

ZENG Qifu^1
,,
ABI Erdi^{1
, ,},
LIU Mingwei¹,
JIANG Mingjing^{2, 3},
DU Hongbo¹

1.
National Engineering Research Center for Inland Way Regulation, Key Laboratory of Geological Hazards Mitigation of Mountainous Highway and Waterway, Chongqing Jiaotong University, Chongqing 400074, China
2.
School of Civil Engineering, Suzhou University of Science and Technology, Suzhou 215009, Jiangsu, China
3.
State Key Laboratory for Disaster Reduction in Civil Engineering, Tongji University Shanghai 200092, China

摘要

摘要: 超临界CO₂相变破岩是冲击波与高压气体协同作用下的动态破坏过程。为深入探究多孔同步激发与地应力耦合条件下的超临界CO₂相变破岩机制，针对CO₂现场破岩实际工况，基于薄壁圆筒理论解析了单孔初始破岩压力，结合一维爆生气体膨胀理论，构建了地应力作用下多孔冲击波与高压气体联合破岩半径预测模型，并通过现场多孔CO₂相变破岩试验进行了对比验证。结果表明：当致裂管埋深较浅时，地应力对岩体应力分布的影响较微弱；当单孔压力一致时，致裂孔数量越多，各孔的叠加峰值应力越大，在垂直于测试孔布置方向，各孔的峰值应力均呈U型抛物线分布，两端的致裂孔的叠加应力最大，而在平行于测试孔布置方向，各孔的峰值应力均呈倒U型抛物线分布，中部致裂孔的叠加应力最大。此外，利用声波测试得到的现场多孔冲击下岩体损伤破坏范围呈三维漏斗形状，竖向损伤破坏范围在5.05～5.73 m之间，平面损伤破坏范围在4.3～5.6 m之间，其中平面损伤破坏范围测试值与理论计算值的相对误差在5.0%～18.7%之间，计算误差多来自各致裂孔叠加应力的不均匀性。进一步分析可知：超临界CO₂相变破岩半径随致裂孔叠加应力呈半抛物线式增长，随致裂孔深度呈对数式增长；当岩体抗压强度增大时，岩石断裂韧度近线性增长，对应破岩半径近线性下降。研究成果可为多孔超临界CO₂相变破岩工程参数优化提供定量化设计依据。
- 超临界CO₂相变 /
- 高压气体膨胀压力 /
- 多孔同时激发 /
- 声波测速 /
- 破岩半径
Abstract: Supercritical CO₂ phase transition rock-breaking is a dynamic destruction process under the combined action of shock waves and high-pressure gas. To deeply investigate the rock-breaking mechanisms of supercritical CO₂ phase transition under multi-hole synchronous initiation and in-situ stress coupling conditions, targeting the actual working conditions of CO₂ field rock-breaking, the initial rock-breaking pressure of a single hole was analyzed based on the thin-walled cylinder theory. A predictive model for the joint rock-breaking radius of multi-hole shock waves and high-pressure gas under in-situ stress was developed by integrating the one-dimensional detonation gas expansion theory. Field experiments on multi-hole CO₂ phase transition rock-breaking were subsequently conducted for comparative validation. The results show that when the fracturing pipe is buried shallowly, the influence of in-situ stress on the stress distribution of the rock mass is relatively weak. When the pressure of a single hole is consistent, the more fracturing holes there are, the greater the superposed peak stress of each hole. In the direction perpendicular to the layout of the test hole, the peak stress of each hole shows a U-shaped parabolic distribution. The superposed stress of the fracturing holes at both ends is the largest. In the direction parallel to the layout of the test hole, the peak stress of each hole shows an inverted U-shaped parabolic distribution, and the superposed stress of the middle fracturing hole is the largest. In addition, the rock mass damage and fracture range under multi-pore impact obtained by acoustic wave testing in the field is in the shape of a three-dimensional funnel. The vertical damage and fracture range is between 5.05 and 5.73 m, and the planar damage and fracture range is between 4.3 and 5.6 m. The error between the measured value of the planar damage and fracture range and the theoretically calculated value is between 5.0% and 18.7%. The calculation error mainly comes from the uneven superposition stress of each fracturing hole. Further analysis shows that the radius of supercritical CO₂ phase transition rock-breaking increases semi-parabolically with the superposed stress of the fracturing hole and increases logarithmically with the depth of the fracturing hole. As the compressive strength of the rock mass increases, the rock fracture toughness increases nearly linearly, and the corresponding rock-breaking radius decreases nearly linearly. The research results can provide a quantitative design basis for optimizing engineering parameters in the multi-pore supercritical CO₂ phase transition for rock-breaking.
- supercritical CO₂ phase transition /
- high-pressure gas expansion pressure /
- porous simultaneous excitation /
- acoustic velocity measurement /
- rock breaking radius

HTML全文

图 1 超临界CO₂相变破岩机理

Figure 1. Mechanism of rock breaking by supercritical CO₂ phase transition

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图 2 超临界CO₂相变致裂影响区域模型

Figure 2. Influence region model of the supercritical CO₂ phase transition

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图 3 三维立体楔型裂隙动态扩展模型

Figure 3. Dynamic propagation model of a planar wedge crack

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图 4 灰岩力学参数室内试验测试过程及结果

Figure 4. Laboratory test process of limestone mechanical parameters and results

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图 5 灰岩力学参数室内试验测试结果

Figure 5. Laboratory test results of limestone mechanical parameters

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图 6 现场破岩设备示意图

Figure 6. Schematic and physical drawings of on-site rock-breaking equipment

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图 7 超临界CO₂相变破岩现场布置示意图

Figure 7. Schematic layout of the supercritical CO₂ phase transition rock breaking site

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图 8 5次超临界CO₂相变破岩结果

Figure 8. Results of five supercritical CO₂ phase transition tests for rock breaking

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图 9 5次超临界CO₂破岩试验前后岩体声波测试结果

Figure 9. Five acoustic test results of rocks before and after supercritical CO₂ rock breaking

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图 10 5次超临界CO₂相变试验的破岩半径

Figure 10. Rock-breaking radius of five supercritical CO₂ phase transition tests

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图 11 不同钻孔中心位置及深度处的径向/切向应力变化情况

Figure 11. Variation of radial/tangential stresses at different central positions and depths of boreholes

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图 12 5次超临界CO₂相变破岩下不同致裂孔的叠加应力

Figure 12. Superimposed stresses in different fracturing holes under five supercritical CO₂ phase transition rock breaking tests

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图 13 超临界CO₂相变峰值压力及破岩半径试验值与计算值的对比

Figure 13. Comparison of test and calculated values of peak pressure and rock breaking radius

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图 14 不同因素对破岩半径的影响规律

Figure 14. Influence of different factors on the rock breaking radius

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表 1 南桐矿山灰岩物理力学参数

Table 1. Physical and mechanical parameters of Nantong mine limestone

ρ/(kg·m⁻³)	${\sigma }_{\text{d}}^{{'}} $/MPa	${\sigma }_{\text{c}}^{{'}} $/MPa	μ	K_IC/(MPa·m^1/2)	E/GPa	G/GPa	${\sigma }_{\text{td}}^{{'}} $/MPa	${\sigma }_{\text{cd}}^{{'}} $/MPa
2 738	5.86	84.01	0.26	1.33	26.34	10.45	7.21	103.35

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表 2 现场致裂管布置情况

Table 2. Arrangement of fracturing tubes in the field

编号	坡高/m	管型	埋深/m	孔径/mm	管数量/根	排距/m	孔距/m	抵抗线/m
1	3	76	5	90	20	3	2.5	1.7
2	3	76	5	90	14	3	2.5	2.2
3	3	76	5	90	32+1	3	2.5	1.5
4	3	76	5	90	24+3	3	2.5	1.0
5	3	76	5	90	48	3	2.5	1.4

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表 3 超临界CO₂相变破岩半径影响参数计算方案

Table 3. Calculation scheme for parameters affecting the radius of supercritical CO₂ phase change rock breakage

致裂孔叠加应力/MPa	致裂管埋深/m	岩体动态抗压强度/MPa
100	5	100
150	10	125
200	15	150
250	20	175
300	25	200
350	30	225
400	35	250
450	40	275
500	45	300

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