理想流体空穴湮灭能量汇问题的特征能量因子

陈昊祥; 王明洋; 李杰; 蒋海明

doi:10.11883/bzycj-2024-0470

理想流体空穴湮灭能量汇问题的特征能量因子

doi: 10.11883/bzycj-2024-0470

陈昊祥^{1, 2,},
王明洋^3, ,,
李杰³,
蒋海明³

1.
北京建筑大学土木与交通工程学院，北京100044
2.
军事科学院国防工程研究院目标易损性评估全国重点实验室，河南洛阳 471023
3.
陆军工程大学爆炸冲击与防灾减灾国家重点实验室，江苏南京 210007

基金项目: 北京市自然科学基金（8222010）；国家自然科学基金（52408353）；军事科学院国防工程研究院目标易损性评估全国重点实验室开放基金（YSX2024KFXY003）

详细信息

作者简介:
陈昊祥（1992－　），男，博士，副教授，chx@stu.bucea.edu.cn

通讯作者:
王明洋（1966－　），男，博士，教授，wmyrf@163.com

中图分类号: O389
计量
- 文章访问数: 183
- HTML全文浏览量: 27
- PDF下载量: 30
- 被引次数: 0
出版历程
- 收稿日期: 2024-12-02
- 修回日期: 2025-09-08
- 网络出版日期: 2025-09-17

Characteristic energy factors for energy sink problem of the ideal fluid cavity annihilation

CHEN Haoxiang^{1, 2
,},
WANG Mingyang^{3
, ,},
LI Jie³,
JIANG Haiming³

1.
School of Civil and Transportation Engineering, Beijing University of Civil Engineering and Architecture, Beijing 100044, China
2.
State Key Laboratory of Target Vulnerability Assessment, Defense Engineering Institute, AMS, Luoyang 471023, Henan, China
3.
State Key Laboratory of Disaster Prevention and Mitigation of Explosion and Impact, Army Engineering University of PLA, Nanjing 210007, Jiangsu, China

摘要

摘要: 在物理学中，“源”指的是物质或能量的出发点，而“汇”则是指物质或能量的到达点。类比地下爆炸能量源问题，提出了理想流体空穴湮灭的能量汇问题，详细分析了理想流体空穴湮灭问题中能量的平衡关系与调整机制，建立了流体压力做功与能量汇聚、传递和转化的关系，引入了描述能量汇“向心汇聚”问题的特征能量因子。分析了特征能量因子的物理机理与数学依据，阐述了特征能量因子的特点、优势以及适用范围。能量汇特征能量因子包含了汇聚能量、空穴的几何尺寸以及流体的物理性质等信息，能够很好地表征能量汇问题的“汇聚”特性，可为后续固体“能量汇”问题的研究奠定理论基础。
- 能量源 /
- 能量汇 /
- 地下爆炸 /
- 空穴湮灭 /
- 特征能量因子
Abstract: In physics, a “source” denotes the origin of matter or energy, while a “sink” refers to the terminal point of matter or energy. By analogizing with the energy source problem in underground explosions, this study proposes an energy sink problem for ideal fluid cavity annihilation. A detailed analysis is conducted on the energy balance and adjustment mechanisms in the ideal fluid cavity annihilation problem, establishing the relationships among fluid pressure work, energy convergence, transmission and transformation. A characteristic energy factor is introduced to describe the “centripetal convergence” behavior of energy sinks. The characteristic energy factor for energy sinks incorporates the information on converged energy, geometric dimensions of cavities and physical properties of fluids, effectively characterizing the “convergence” behavior of energy sink problems and laying a theoretical foundation for the subsequent research on “energy sink” problems in solids. The physical mechanisms and mathematical foundations of the characteristic energy factor are analyzed, and its characteristics and advantages are expounded. Specifically, the introduction of the characteristic energy factor circumvents the need for complex stress-strain relationships, boundary conditions, and unknown internal material structures in traditional continuum mechanics, significantly simplifying the complexity of the problem. The characteristic energy factor is primarily applicable to the predictions of engineering disasters with large scales or well-defined failure zones (e.g., underground explosions, large-scale surrounding rock deformation, zonal disintegration or pendulum waves, and shear-slip rock bursts in ore pillars), whereas its applicability to highly localized engineering disasters with unknown failure zones (e.g., strain-type rock bursts) requires further investigation.
- energy source /
- energy sink /
- underground explosion /
- cavity annihilation /
- characteristic energy factor

HTML全文

图 1 地冲击能量系数随比例埋深的变化

Figure 1. Variation of impact energy coefficient with proportional burial depth

下载: 全尺寸图片幻灯片

图 2 纵波最大粒子速度随比例埋深的变化规律

Figure 2. Variation of the maximum particle velocity of the longitudinal wave with the distance from the explosion center

下载: 全尺寸图片幻灯片

图 3 “能量源”和“能量汇”问题示意图

Figure 3. Configuration for energy source and energy sink

下载: 全尺寸图片幻灯片

图 4 流体空穴湮灭问题的径向剖面图

Figure 4. Configuration for cavity annihilation in fluid

下载: 全尺寸图片幻灯片

图 5 空穴湮灭能量调整示意图

Figure 5. The configuration for energy adjustment

下载: 全尺寸图片幻灯片

表 1 不同爆炸区的特征能量因子^[12]

Table 1. Characteristic energy factors of different explosion zones^[12]

爆炸分区空腔区破碎区径向裂纹区

特征能量因子k 10⁻³ 10⁻⁵ 10⁻⁷

下载: 导出CSV

参考文献(24)

[1]	KRAMARENKO V I, REVUZHENKO A F. Flow of energy in a deformed medium [J]. Soviet Mining, 1988, 24(6): 536–540. DOI: 10.1007/BF02498611.
[2]	REVUZHENKO A F, KLISHIN S V. Energy flux lines in a deformable rock mass with elliptical openings [J]. Journal of Mining Science, 2009, 45(3): 201–206. DOI: 10.1007/s10913-009-0026-5.
[3]	钱七虎, 王明洋. 岩土中的冲击爆炸效应 [M]. 北京: 国防工业出版社, 2010: 127–134. QIAN Q H, WANG M Y. Impact and explosion effects in rock and soil [M]. Beijing: National Defense Industry Press, 2010: 127–134.
[4]	ADUSHKIN V V, SPIVAK A. Underground explosions [M]. Lexington, MA: Weston Geophysical Corp, 2015: 431–480.
[5]	SADOVSKY M A, VOLKHOVITINOV L G, PISARENKO V F. Deformation of geophysical medium and seismic process [M]. Moscow: Science Press, 1987: 40–240.
[6]	KURLENYA M V, OPARIN V N. Problems of nonlinear geomechanics. Part II [J]. Journal of Mining Science, 2000, 36(4): 305–326. DOI: 10.1023/A:1026673105750.
[7]	王明洋, 李杰, 李凯锐. 深部岩体非线性力学能量作用原理与应用 [J]. 岩石力学与工程学报, 2015, 34(4): 659–667. DOI: 10.13722/j.cnki.jrme.2015.04.002. WANG M Y, LI J, LI K R. A nonlinear mechanical energy theory in deep rock mass engineering and its application [J]. Chinese Journal of Rock Mechanics and Engineering, 2015, 34(4): 659–667. DOI: 10.13722/j.cnki.jrme.2015.04.002.
[8]	SHISHKIN N I. Seismic efficiency of a contact explosion and a high-velocity impact [J]. Journal of Applied Mechanics and Technical Physics, 2007, 48(2): 145–152. DOI: 10.1007/S10808-007-0019-6.
[9]	HASKELL N A. Analytic approximation for the elastic radiation from a contained underground explosion [J]. Journal of Geophysical Research, 1967, 72(10): 2583–2587. DOI: 10.1029/JZ072i010p02583.
[10]	SHISHKIN N I. On the problem of the disintegration of rock by an explosion under the influence of a free surface [J]. Journal of Applied Mechanics and Technical Physics, 1981, 22(3): 401–408. DOI: 10.1007/bf00907569.
[11]	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. DOI: 10.3321/j.issn:1000-6915.2009.10.001. QIAN Q H. Some advances in rock blasting dynamics [J]. Chinese Journal of Rock Mechanics and Engineering, 2009, 28(10): 1945–1968. DOI: 10.3321/j.issn:1000-6915.2009.10.001.
[12]	蒋海明. 深部岩体动力特征响应的理论与实验研究 [D]. 南京: 陆军工程大学, 2018: 28–29.
[13]	王明洋, 李杰. 爆炸与冲击中的非线性岩石力学问题Ⅲ: 地下核爆炸诱发工程性地震效应的计算原理及应用 [J]. 岩石力学与工程学报, 2019, 38(4): 695–707. DOI: 10.13722/j.cnki.jrme.2018.1078. WANG M Y, LI J. Nonlinear mechanics problems in rock explosion and shock. Part Ⅲ: the calculation principle of engineering seismic effects induced by underground nuclear explosion and its application [J]. Chinese Journal of Rock Mechanics and Engineering, 2019, 38(4): 695–707. DOI: 10.13722/j.cnki.jrme.2018.1078.
[14]	倪汉根, 刘亚坤. 水工建筑物的空化与空蚀 [M]. 大连: 大连理工大学出版社, 2011: 1–3. NI H G, LIU Y K. Cavitation and cavitation damage of Hydraulic structures [M]. Dalian: Dalian University of Technology Press, 2011: 1–3.
[15]	杨桂通. 弹性力学 [M]. 北京: 高等教育出版社, 2003: 60–64.
[16]	王明洋, 陈昊祥, 李杰, 等. 深部巷道分区破裂化计算理论与实测对比研究 [J]. 岩石力学与工程学报, 2018, 37(10): 2209–2218. DOI: 10.13722/j.cnki.jrme.2018.0458. WANG M Y, CHEN H X, LI J, et al. Theoretical research on zonal disintegration of rock masses around deep tunnels and comparisons with in-situ observations [J]. Chinese Journal of Rock Mechanics and Engineering, 2018, 37(10): 2209–2218. DOI: 10.13722/j.cnki.jrme.2018.0458.
[17]	徐天涵, 李杰, 王明洋, 等. 地下核爆诱发工程性地震实测数据分析与不可逆变形范围计算 [J]. 爆炸与冲击, 2019, 39(12): 121101. DOI: 10.11883/bzycj-2018-0505. XU T H, LI J, WANG M Y, et al. Analysis of test data of underground nuclear explosions and calculation of irreversible deformation range [J]. Explosion and Shock Waves, 2019, 39(12): 121101. DOI: 10.11883/bzycj-2018-0505.
[18]	陈昊祥, 王明洋, 李杰. 深部岩体变形破坏的特征能量因子与应用 [J]. 爆炸与冲击, 2019, 39(8): 081103. DOI: 10.11883/bzycj-2019-0191. CHEN H X, WANG M Y, LI J. A characteristic energy factor for deformation and failure of deep rock masses and its application [J]. Explosion and Shock Waves, 2019, 39(8): 081103. DOI: 10.11883/bzycj-2019-0191.
[19]	李杰, 蒋海明, 王明洋, 等. 爆炸与冲击中的非线性岩石力学问题(Ⅱ): 冲击扰动诱发岩块滑移的物理模拟试验 [J]. 岩石力学与工程学报, 2018, 37(2): 291–301. DOI: 10.13722/j.cnki.jrme.2017.0684. LI J, JIANG H M, WANG M Y, et al. Nonlinear mechanical problems in rock explosion and shock. Part Ⅱ: physical model test on sliding of rock blocks triggered by external disturbance [J]. Chinese Journal of Rock Mechanics and Engineering, 2018, 37(2): 291–301. DOI: 10.13722/j.cnki.jrme.2017.0684.
[20]	蒋海明, 李杰, 王明洋. 块系岩体滑移失稳中低摩擦效应的理论与试验研究 [J]. 岩土力学, 2019, 40(4): 1405–1412. DOI: 10.16285/j.rsm.2017.2223. JIANG H M, LI J, WANG M Y. Theoretical and experimental research on the low-friction effect in slip stability of blocky rock mass [J]. Rock and Soil Mechanics, 2019, 40(4): 1405–1412. DOI: 10.16285/j.rsm.2017.2223.
[21]	陈昊祥. 特征能量因子及其在工程灾变中的应用 [D]. 南京: 陆军工程大学, 2019: 147–154.
[22]	朗道 Л Д, 栗弗席兹 E М. 流体动力学 [M]. 李植, 译. 5版. 北京: 高等教育出版社, 2012: 3–6.
[23]	STRUTT J W. On the pressure developed in a liquid during the collapse of a spherical cavity [M]//STRUTT J W. Scientific Papers. Cambridge: Cambridge University Press, 1920: 504–507. DOI: 10.1017/CBO9780511704017.076.
[24]	陈昊祥, 王明洋, 戚承志, 等. 深部圆形巷道围岩能量的调整机制及平衡关系 [J]. 岩土工程学报, 2020, 42(10): 1849–1857. DOI: 10.11779/CJGE202010010. CHEN H X, WANG M Y, QI C Z, et al. Mechanism of energy adjustment and balance of rock masses near a deep circular tunnel [J]. Chinese Journal of Geotechnical Engineering, 2020, 42(10): 1849–1857. DOI: 10.11779/CJGE202010010.