管幕冻结隧道“顶管−冻土”复合结构力学特性试验研究

段寅; 荣传新; 蔡海兵; 龙伟

doi:10.12363/issn.1001-1986.22.04.0252

管幕冻结隧道“顶管−冻土”复合结构力学特性试验研究

段寅^{1, 2,},
荣传新^{1, 2,*, ,},
蔡海兵^{1, 2},
龙伟^{1, 2}

1.
深部煤矿采动响应与灾害防控国家重点实验室，安徽淮南 232001
2.
安徽理工大学土木建筑学院，安徽淮南 232001

基金项目: 安徽理工大学高层次引进人才科研启动基金项目(2022yjrc55)；国家自然科学基金项目(51878005，51778004)

详细信息

作者简介:
段寅，1986年生，男，安徽合肥人，博士，讲师，从事岩土工程方向的研究工作. E-mail：yinduan@aust.edu.cn

通讯作者:
荣传新，1968年生，男，安徽六安人，博士，教授，从事岩土工程方向的研究工作. E-mail：chxrong@aust.edu.cn

中图分类号: U455.9
计量
- 文章访问数: 144
- HTML全文浏览量: 14
- PDF下载量: 18
出版历程
- 收稿日期: 2022-04-13
- 修回日期: 2022-10-11
- 网络出版日期: 2022-11-27
- 刊出日期: 2022-12-24

Experimental research on mechanical properties of “jacked pipe-frozen soil” composite structure in freeze-sealing pipe roof tunnel

DUAN Yin^{1, 2,},
RONG Chuanxin^{1, 2,*, ,},
CAI Haibing^{1, 2},
LONG Wei^{1, 2}

1.
State Key Laboratory of Mining Response and Disaster Prevention and Control in Deep Coal Mines, Huainan 232001, China
2.
School of Civil Engineering and Architecture, Anhui University of Science and Technology, Huainan 232001, China

摘要

摘要:
拱北隧道暗挖段作为港珠澳大桥珠海连接线的重点工程，首次运用管幕冻结法进行施工。该法综合管幕法和人工地层冻结法的优势，可在隧道断面形成“顶管−冻土帷幕”复合支护体系，有效实现“承载”与“顶管间止水”的双重目标，确保隧道开挖时的稳定与安全。为获得“顶管−冻土”复合结构的温度、变形与力学特性，基于相似理论自主研发构建一套相似模型试验系统并开展试验研究，同时利用有限元软件COMSOL Multiphysics建立数值计算模型进行模拟验证。结果表明：复合结构的冻结温度场因空、实顶管及其内部冻结器的布置形式呈现不均匀分布特征，冻土形成速率在冻结后期明显变缓；土体竖向冻胀变形在60~160 min内急剧增大，且冻胀量随深度增加而增大，整体规律与温度场分布密切相关；土体冻结产生的冻胀力对顶管水平受力影响较大，空顶管相对刚度较小而产生较大水平变形；在加载阶段，顶管受力与变形均以竖向为主。因空、实顶管刚度差异和冻土厚度不均匀的共同影响，空顶管竖向变形包含了“弯曲”与“压扁”并具有非线性特征，其跨中截面底部竖向位移峰值约为实顶管的1.6倍；加载至0.28 MPa时，管间冻土首先发生破坏，进而导致顶管间封水功能失效，实际施工中应重点监测空顶管的变形规律、管间冻土帷幕的温度变化及其完整性。研究成果可为管幕冻结法的施工与监测提供参考，也可为热力耦合数值计算模型提供验证依据。
- 管幕冻结 /
- 复合结构 /
- 力学特性 /
- 相似模型试验
Abstract:
As the key project of Zhuhai Connecting Line of Hong Kong‒Zhuhai‒Macao Bridge, the underground excavation section of Gongbei Tunnel has applied the freeze-sealing pipe roof method for the first time. Combining the advantages of the pipe roof method and the artificial ground freezing method, this method could form a “jacked pipe-frozen soil curtain” composite support system on the tunnel section, so as to effectively achieve the dual goals of “bearing” and “water-stopping between pipes”, thereby ensuring that stability and safety during tunnel excavation. To obtain the temperature, deformation and mechanical properties of the “jacked pipe-frozen soil” composite structure, a set of scaled model test system was independently developed based on the similarity theory and the experimental research was carried out. At the same time, a numerical calculation model was established using the finite element software COMSOL Multiphysics for simulation verification. According to the results, the freezing temperature field of the composite structure is characterized by uneven distribution due to the arrangement of hollow pipe, solid pipe and their internal freezers, and the formation rate of frozen soil slows down significantly in the later stage of freezing. Besides, the vertical frost heaving deformation increases sharply within 60‒160 min, the frost heaving amount increases with the depth, and the overall law of frost heaving is closely related to the distribution of the freezing temperature field. The frost heaving force caused by soil freezing has a great influence on the horizontal force of the pipe, so that the hollow pipe with relative low stiffness may be subjected to larger horizontal deformation. In the loading stage, the jacked pipe is mainly applied with force and deformed in the vertical direction. Due to the joint influence of the stiffness difference between the two pipes and the uneven thickness of frozen soil, the vertical deformation of the hollow pipe, including “bending” and “flattening”, has nonlinear characteristics, and the peak value of the vertical displacement at the bottom of the midspan section is about 1.6 times that of the solid pipe. When the load reaches 0.28 MPa, the frozen soil between pipes will be damaged at first, which leads to the failure of water sealing between pipes. In actual construction, the deformation law of hollow pipe, as well as the temperature change and integrity of the frozen soil curtain between adjacent pipes, is the key for monitoring. The research results can provide reference for the construction and monitoring of the freeze-sealing pipe roof method and verification basis for the thermodynamic coupling numerical calculation model.
- freeze-sealing pipe roof method /
- composite structure /
- mechanical property /
- scaled model test

HTML全文

图 1 拱北隧道管幕冻结技术

Fig. 1 Freeze-sealing pipe roof method for Gongbei tunnel

下载: 全尺寸图片幻灯片

图 2 模型试验研究对象

Fig. 2 Research object of model test

下载: 全尺寸图片幻灯片

图 3 顶管结构

Fig. 3 Schematic diagram of jacking pipe

下载: 全尺寸图片幻灯片

图 4 试验系统三维图

Fig. 4 3D diagram of test system

下载: 全尺寸图片幻灯片

图 5 数据采集系统

Fig. 5 Data acquisition system

下载: 全尺寸图片幻灯片

图 6 降温计划与试验模型结构转换

Fig. 6 Cooling plan and structural transformation of test model

下载: 全尺寸图片幻灯片

图 7 不同冻结时间下的温度场等值线

Fig. 7 Contour map of temperature field under different freezing time

下载: 全尺寸图片幻灯片

图 8 土体竖向冻胀位移−时间曲线

Fig. 8 Vertical frost heave displacement-time curves

下载: 全尺寸图片幻灯片

图 9 冻结阶段顶管跨中位置应变−时间曲线

Fig. 9 Strain-time curves at midspan of jacked pipe in freezing stage

下载: 全尺寸图片幻灯片

图 10 加载阶段顶管跨中位置应变−时间曲线

Fig. 10 Strain-time curves at midspan of jacked pipe in loading stage

下载: 全尺寸图片幻灯片

图 11 顶管不同位置荷载−位移曲线

Fig. 11 Load-displacement curves at different positions of jacked pipe

下载: 全尺寸图片幻灯片

图 12 复合结构跨中截面处顶管与冻土荷载−位移曲线

Fig. 12 Load-displacement curves of jacked pipe and frozen soil at the midspan of composite structure

下载: 全尺寸图片幻灯片

图 13 三维模型与网格划分

Fig. 13 3D model and mesh generation

下载: 全尺寸图片幻灯片

图 14 数值模拟与实测对比

Fig. 14 Comparison between numerical simulation results and test results

下载: 全尺寸图片幻灯片

图 15 加载过程中不同荷载条件下顶管接触压力云图

Fig. 15 Cloud diagram of contact pressure of jacked pipe under different loading conditions

下载: 全尺寸图片幻灯片

图 16 加载过程中不同荷载条件下顶管竖向变形云图

Fig. 16 Cloud diagram of vertical deformation of jacked pipe under different loading conditions

下载: 全尺寸图片幻灯片

图 17 加载阶段复合结构跨中截面冻土Von Mises应力云图

Fig. 17 Von Mises stress nephogram of frozen soil in midspan section of composite structure in loading stage

下载: 全尺寸图片幻灯片

表 1 相似准则

Table 1 Similarity criteria

相似准则	π₁	π₂	π₃	π₄	π₅	π₆
表达式	$\dfrac{ { {E_{\rm{t}}}{D^2} } }{P}$	$\dfrac{ {c{D^2} } }{P}$	$\dfrac{ { {\gamma _{\rm{t}}}{D^3} } }{P}$	$\dfrac{ {\sigma {D^2} } }{P}$	$\dfrac{ { {a_{\rm{t}}} } }{ { {a_{\rm{g}}} } }$	$\dfrac{ { {C_{\rm{t} } }t{D^2} } }{ {a_{\rm{g} }^2} }$

相似准则	π₇	π₈	π₉	π₁₀	π₁₁	π₁₂
表达式	$\dfrac{ { {E_{\rm{g}}}{D^2} } }{P}$	$\dfrac{ { {\gamma _{\rm{g}}}{D^3} } }{P}$	$\dfrac{ { {E_{\rm{h}}}{D^2} } }{P}$	$\dfrac{ { {\gamma _{\rm{h}}}{D^3} } }{P}$	$\dfrac{d}{D}$	$\dfrac{ { {t_{\rm{d} } } } }{t}$

下载: 导出CSV

表 2 主要相似比常数

Table 2 Main similarity ratio constant

几何	位移	温度	时间	应力	容重	荷载	弹性模量
1/20	1/20	1	1/400	1	20	1	1

下载: 导出CSV

表 3 顶管设计参数

Table 3 Design parameters of jacked pipe

模型类型	顶管弹性模量/MPa	顶管内径/mm	壁厚/mm	冻结器内径/mm	实顶管内填充
原型	20 000	1600	20	159	C30细石混凝土
模型	20 000	80	1	8	C30细石混凝土

下载: 导出CSV

表 4 粉质黏土与混凝土热物理试验参数

Table 4 Thermophysical parameters of silty clay and concrete

材料	密度/ (kg·m⁻³)			比热容/ (J·kg⁻¹·K⁻¹)			导热系数/ (W·m⁻¹·K⁻¹)		含水率/ %	冰点/ ℃	立方体抗压强度/MPa	弹性模量/ MPa	泊松比
材料	干密度	湿密度		未冻	已冻		未冻	已冻	含水率/ %	冰点/ ℃	立方体抗压强度/MPa	弹性模量/ MPa	泊松比
粉质黏土	1 590	2 010		1 572	1 481		1.28	1.82	26	−1.2
混凝土	2 450		920			1.55					32	25×10³	0.22

下载: 导出CSV

表 5 粉质黏土力学性能试验数据

Table 5 Mechanical property data of silty clay

材料	温度/℃	单轴抗压强度/MPa	弹性模量/MPa	内摩擦角/(°)	黏聚力/MPa	抗折强度/MPa
粉质黏土	−5	1.22	30	6.4	0.85	0.41
	−10	2.20	61	7.1	1.77	0.82
	−15	3.60	107	4.5	2.58	1.16

下载: 导出CSV

参考文献(37)

[1]	程桦. 深厚冲积层冻结法凿井理论与技术[M]. 北京: 科学出版社, 2016.
[2]	张松,岳祖润,卢相忠,等. 冻结法施工中冻结管断裂的影响及其处理方法[J]. 城市轨道交通研究,2020,23(12):99−102. DOI: 10.16037/j.1007-869x.2020.12.020 ZHANG Song,YUE Zurun,LU Xiangzhong,et al. Impact and treatment method of freeze pipe fracture in AGF project[J]. Urban Mass Transit,2020,23(12):99−102. DOI: 10.16037/j.1007-869x.2020.12.020
[3]	李方政,崔兵兵,张世银. 盾构进洞加固PVC冻结管力学性能试验研究[J]. 地下空间与工程学报,2016,12(5):1179−1184. LI Fangzheng,CUI Bingbing,ZHANG Shiyin. Experimental research on the mechanical properties of PVC freezing pipe for shield arriving construction[J]. Chinese Journal of Underground Space and Engineering,2016,12(5):1179−1184.
[4]	周晓敏. 冻结管在冻结壁变形段内的受力计算[J]. 煤炭学报,1996,21(1):30−34. DOI: 10.3321/j.issn:0253-9993.1996.01.006 ZHOU Xiaomin. Stressing of freeze pipe in the deformed section of ice wall[J]. Journal of China Coal Society,1996,21(1):30−34. DOI: 10.3321/j.issn:0253-9993.1996.01.006
[5]	杨维好,黄家会. 冻结管受力分析与试验研究[J]. 冰川冻土,1999,21(1):33−38. YANG Weihao,HUANG Jiahui. Theoretical analyses and experimental research on stresses in freezing pipes[J]. Journal of Glaciology and Geocryology,1999,21(1):33−38.
[6]	李晓芳,蔡海兵. 内衬冻结管的低温力学性能试验与安全性判定[J]. 低温建筑技术,2017,39(11):100−103. DOI: 10.13905/j.cnki.dwjz.2017.11.026 LI Xiaofang,CAI Haibing. Mechanical performance test at low temperature and security judgement of lining frozen tubes[J]. Low Temperature Architecture Technology,2017,39(11):100−103. DOI: 10.13905/j.cnki.dwjz.2017.11.026
[7]	上田保司,生頼孝博. 鋼管補強による凍土梁の曲げ強度特性の改良[J]. 土木学会論文報告集,2001,12:81−90. UEDA Y,OHRAI T. Improvement of bending strength of frozen soil beam reinforced by steel pipe[J]. Proceedings of the Japan Society of Civil Engineers,2001,12:81−90.
[8]	森内浩史, 上田保司, 生頼孝博. 鋼管変形に対する凍土の追随性把握実験[C]//土木学会第58回年次学術講演会. 日本, 2003: 753–754. MORIUCHI K, UEDA Y, OHRAI T. Study on the fitting ability of frozen soil and steel pipes[C]//Proceeding of the 58 Annual Conference of the Japan Society of Civil Engineering. Japan2003: 753–754.
[9]	夏慧民,牛富俊. 冻结管对人工冻结构件加筋作用的试验研究及数值模拟[J]. 冰川冻土,2002,24(2):155−159. DOI: 10.3969/j.issn.1000-0240.2002.02.008 XIA Huimin,NIU Fujun. Experimental study and numerical simulation of the reinforcement of embedded freezing pipes on artificial frozen components[J]. Journal of Glaciology and Geocryology,2002,24(2):155−159. DOI: 10.3969/j.issn.1000-0240.2002.02.008
[10]	李志军,曲月霞,沈照伟,等. DUT–1非冻结合成模型冰的弯曲强度[J]. 冰川冻土,2001,23(2):170−175. DOI: 10.3969/j.issn.1000-0240.2001.02.010 LI Zhijun,QU Yuexia,SHEN Zhaowei,et al. Flexural strength of DUT−1 synthetic model ice[J]. Journal of Glaciology and Geocryology,2001,23(2):170−175. DOI: 10.3969/j.issn.1000-0240.2001.02.010
[11]	盛应平. 软土地层地铁车站浅埋冻结暗挖法施工方案分析[J]. 城市轨道交通研究,2019,22(6):138−142. SHENG Yingping. Analysis on metro station construction with shallow–buried frozen excavation method in soft soil stratum[J]. Urban Mass Transit,2019,22(6):138−142.
[12]	刘健鹏,杨平,何文龙,等. 盾构下穿敏感性建筑的管棚+水平冻结接收技术[J]. 铁道科学与工程学报,2017,14(10):2194−2202. DOI: 10.3969/j.issn.1672-7029.2017.10.022 LIU Jianpeng,YANG Ping,HE Wenlong,et al. Shield receiving technology of pipe–roof grouting and horizontal freezing entrancing beneath sensitive buildings[J]. Journal of Railway Science and Engineering,2017,14(10):2194−2202. DOI: 10.3969/j.issn.1672-7029.2017.10.022
[13]	周顺华. 软弱地层浅埋暗挖施工中管棚法的棚架原理[J]. 岩石力学与工程学报,2005,24(14):2565−2570. DOI: 10.3321/j.issn:1000-6915.2005.14.026 ZHOU Shunhua. Principles of pipe roof applied to shallow–buried tunnels in soft ground[J]. Chinese Journal of Rock Mechanics and Engineering,2005,24(14):2565−2570. DOI: 10.3321/j.issn:1000-6915.2005.14.026
[14]	张川,杨春满,左永江. 松软地层水平管棚工艺参数的研究[J]. 煤炭学报,2000,25(6):607−609. DOI: 10.3321/j.issn:0253-9993.2000.06.011 ZHANG Chuan,YANG Chunman,ZUO Yongjiang. Study on the art parameters of horizontal barrel vault advanced support in the soft rock[J]. Journal of China Coal Society,2000,25(6):607−609. DOI: 10.3321/j.issn:0253-9993.2000.06.011
[15]	张洁,史培新,潘建立. 拱北隧道管幕冷冻施工中的冻胀控制技术研究[J]. 隧道建设(中英文),2018,38(5):809−817. ZHANG Jie,SHI Peixin,PAN Jianli. Study of ground frost heave control technology used in Gongbei tunnel constructed by pipe roof and ground freezing method[J]. Tunnel Construction,2018,38(5):809−817.
[16]	DUAN Yin,RONG Chuanxin,CHENG Hua,et al. Experimental and numerical investigation on improved design for profiled freezing–tube of FSPR[J]. Processes,2020,8(8):992. DOI: 10.3390/pr8080992
[17]	张冬梅,逄健,任辉,等. 港珠澳大桥拱北隧道施工变形规律分析[J]. 岩土工程学报,2020,42(9):1632−1641. ZHANG Dongmei,PANG Jian,REN Hui,et al. Observed deformation behavior of Gongbei tunnel of Hong Kong−Zhuhai–Macao Bridge during construction[J]. Chinese Journal of Geotechnical Engineering,2020,42(9):1632−1641.
[18]	ZHANG Peng,MA Baosong,ZENG Cong,et al. Key techniques for the largest curved pipe jacking roof to date:A case study of Gongbei tunnel[J]. Tunnelling and Underground Space Technology,2016,59:134−145. DOI: 10.1016/j.tust.2016.07.001
[19]	KANG Yongshui,LIU Quansheng,CHENG Yong,et al. Combined freeze–sealing and New Tubular Roof construction methods for seaside urban tunnel in soft ground[J]. Tunnelling and Underground Space Technology,2016,58(9):1−10.
[20]	任辉,胡向东,陈锦,等. 异形加强冻结管在管幕冻结法中的冻结效果及使用方法研究[J]. 隧道建设,2015,35(11):1169−1175. REN Hui,HU Xiangdong,CHEN Jin,et al. Study on freezing effect and operation of profiled enhancing freezing−tube in freeze–sealing pipe roof[J]. Tunnel Construction,2015,35(11):1169−1175.
[21]	胡向东,任辉,陈锦,等. 管幕冻结法积极冻结方案模型试验研究[J]. 现代隧道技术,2014,51(5):92−98. HU Xiangdong,REN Hui,CHEN Jin,et al. Model test study of the active freezing scheme for the combined pipe–roof and freezing method[J]. Modern Tunnelling Technology,2014,51(5):92−98.
[22]	HU Xiangdong,SHE Siyuan. Study of freezing scheme in freeze–sealing pipe roof method based on numerical simulation of temperature field[J]. American Society of Civil Engineers,2012:1798−1805.
[23]	李志宏,王文州,胡向东. 施工热扰动对管幕冻结止水帷幕影响研究[J]. 土木工程学报,2015,48(增刊2):374−379. LI Zhihong,WANG Wenzhou,HU Xiangdong. Research on influence of construction thermal disturbance on the freezing–sealing pipe roof[J]. China Civil Engineering Journal,2015,48(Sup.2):374−379.
[24]	张军,胡向东,任辉. 拱北隧道管幕冻结施工中限位管的冻结效果控制研究[J]. 隧道建设,2015,35(11):1157−1163. ZHANG Jun,HU Xiangdong,REN Hui. Case study on control of freezing effect by installing limiting tubes in freezing–sealing pipe roof in Gongbei tunnel[J]. Tunnel Construction,2015,35(11):1157−1163.
[25]	张鹏,马保松,曾聪,等. 基于管土接触特性的顶进力计算模型分析[J]. 岩土工程学报,2017,39(2):244−249. DOI: 10.11779/CJGE201702007 ZHANG Peng,MA Baosong,ZENG Cong,et al. Numerical model for jacking force based on pipe–soil contact characteristics[J]. Chinese Journal of Geotechnical Engineering,2017,39(2):244−249. DOI: 10.11779/CJGE201702007
[26]	LIU Jiguo,MA Baosong,CHENG Yong. Design of the Gongbei tunnel using a very large cross–section pipe–roof and soil freezing method[J]. Tunnelling and Underground Space Technology,2018,72(2):28−40.
[27]	刘稳,荣传新,段寅,等. 基于灰色关联度的管幕冻结隧道开挖断面变形影响因素分析[J]. 安徽建筑大学学报,2020,28(6):30−38. LIU Wen,RONG Chuanxin,DUAN Yin,et al. Analysis of factors influencing deformation of excavation section of freeze–sealing pipe roof method for tunnel based on gray correlation degree[J]. Journal of Anhui Jianzhu University,2020,28(6):30−38.
[28]	潘伟强. 软土地区管幕群顶管施工地面沉降监测与分析[J]. 岩土工程学报,2019,41(增刊1):201−204. PAN Weiqiang. Monitoring and analysis of ground settlement during pipe roof construction of pipe–jacking groups in soft soil areas[J]. Chinese Journal of Geotechnical Engineering,2019,41(Sup.1):201−204.
[29]	段寅,荣传新,程桦,等. 不同顶管组合方式的管幕冻结温度场模型试验[J]. 冰川冻土,2020,42(2):479−490. DOI: 10.7522/j.issn.1000-0240.2020.0048 DUAN Yin,RONG Chuanxin,CHENG Hua,et al. Model test of freezing temperature field of the freeze–sealing pipe roof method under different pipe arrangements[J]. Journal of Glaciology and Geocryology,2020,42(2):479−490. DOI: 10.7522/j.issn.1000-0240.2020.0048
[30]	龙伟,荣传新,段寅,等. 拱北隧道管幕冻结法温度场数值计算[J]. 煤田地质与勘探,2020,48(3):160−168. DOI: 10.3969/j.issn.1001-1986.2020.03.023 LONG Wei,RONG Chuanxin,DUAN Yin,et al. Numerical calculation of temperature field of freeze–sealing pipe roof method in Gongbei tunnel[J]. Coal Geology & Exploration,2020,48(3):160−168. DOI: 10.3969/j.issn.1001-1986.2020.03.023
[31]	崔广心. 相似理论与模型试验[M]. 徐州: 中国矿业大学出版社, 1990.
[32]	国家安全生产监督管理总局. 人工冻土物理力学性能试验: MT/T 593.1—2011[S]. 北京: 煤矿专用设备标准化技术委员会, 2011.
[33]	中华人民共和国水利部, 中华人民共和国建设部. 土工试验方法标准: GB/T 50123—1999[S]. 北京: 中国计划出版社, 1999.
[34]	中华人民共和国国家质量监督检验检疫总局, 中国国家标准化管理委员会. 绝热材料稳态热阻及有关特性的测定防护热板法: GB/T 10294—2008[S]. 北京: 中国标准出版社, 2008.
[35]	中华人民共和国住房和城乡建设部, 中华人民共和国国家质量监督检验检疫总局. 混凝土结构试验方法标准: GB/T 50152—2012[S]. 北京: 中国建筑工业出版社, 2012.
[36]	马巍,吴紫汪,张长庆. 冻土的强度与屈服准则[J]. 冰川冻土,1993,15(1):129−133. MA Wei,WU Ziwang,ZHANG Changqing. Strength and yield criteria of frozen soil[J]. Journal of Glaciology and Geocryology,1993,15(1):129−133.
[37]	马巍,朱元林,马文婷,等. 冻结粘性土的变形分析[J]. 冰川冻土,2000,22(1):43−47. DOI: 10.3969/j.issn.1000-0240.2000.01.007 MA Wei,ZHU Yuanlin,MA Wenting,et al. Analyses of deformation in frozen clayey soils[J]. Journal of Glaciology and Geocryology,2000,22(1):43−47. DOI: 10.3969/j.issn.1000-0240.2000.01.007

施引文献(23)

期刊类型引用(19)

1.	汪伟民，郝红俊，翟晓荣，程龙艺，汪蒙，庞瑶. 基于改进AHP-独立性权系数法的地质构造复杂程度定量评价. 煤炭技术. 2024(04): 119-124 . 百度学术
2.	高阳. 熵权耦合聚类法在奥灰岩溶水系统径流带划分中的应用. 华北自然资源. 2023(04): 61-63 . 百度学术
3.	李军，张波. 基于IFAHP-改进熵权法的煤矿综合防尘体系安全评价. 煤炭技术. 2023(09): 195-199 . 百度学术
4.	安律宁，陈继福，董广铭，李玉兵. 基于层次聚类模糊综合评判的矿井突水危险性评价. 煤炭与化工. 2023(10): 49-56 . 百度学术
5.	万松，范祝连，邓双，卞阿娜. 基于GIS的山地生态县域生态敏感性研究——以闽侯县为例. 南方林业科学. 2022(02): 58-63 . 百度学术
6.	姚辉，尹尚先，徐维，张润畦，蒋知廷. 基于组合赋权的加权秩和比法的底板突水危险性评价. 煤田地质与勘探. 2022(06): 132-137 . 本站查看
7.	郑剑英. 基于综合赋权的煤层底板突水危险性评价. 工矿自动化. 2022(08): 140-146 . 百度学术
8.	黄家远. 基于IFAHP-熵权法的煤矿瓦斯防治系统安全评价. 中国矿山工程. 2022(04): 9-15 . 百度学术
9.	左林霄，高鹏，冯栋，王晓玮，侯恩科. 基于AHP-熵权法耦合方法的地质构造复杂程度定量评价. 煤炭科学技术. 2022(11): 140-149 . 百度学术
10.	尹会永，周鑫龙，郎宁，张历峰，王明丽，吴焘，李鑫. 基于SSA优化的GA-BP神经网络煤层底板突水预测模型与应用. 煤田地质与勘探. 2021(06): 175-185 . 本站查看
11.	黄欢，朱宏军. 基于“富水性指数法”的煤层顶板含水层涌水危险性评价. 煤矿安全. 2020(02): 192-196 . 百度学术
12.	施龙青，张荣遨，韩进，丛培章，秦道霞，郭玉成. 基于熵权法-层次分析法耦合赋权的多源信息融合突水危险性评价. 河南理工大学学报(自然科学版). 2020(03): 17-25 . 百度学术
13.	韩承豪，魏久传，谢道雷，徐建国，张伟杰，赵智超. 基于集对分析-可变模糊集耦合法的砂岩含水层富水性评价——以宁东矿区金家渠井田侏罗系直罗组含水层为例. 煤炭学报. 2020(07): 2432-2443 . 百度学术
14.	刘伟韬，孙茜，徐百超. 基于GIS及主成分熵权法的底板突水危险性评价. 矿业研究与开发. 2020(11): 83-88 . 百度学术
15.	董丽丽，费城，张翔，曹超凡. 基于LSTM神经网络的煤矿突水预测. 煤田地质与勘探. 2019(02): 137-143 . 本站查看
16.	王志刚，付小锦，梁杰，曹健，江胜国. 天津静海含煤区无井式煤炭地下气化选址地质评价模型. 煤田地质与勘探. 2019(03): 41-48 . 本站查看
17.	刘德民，尹尚先，连会青. 煤矿工作面底板突水灾害预警重点监测区域评价技术. 煤田地质与勘探. 2019(05): 9-15 . 本站查看
18.	霍丙杰，解振华，范张磊，荆雪冬. 陷落柱渗流突水机理及强度主控因素模拟. 煤田地质与勘探. 2019(06): 84-91 . 本站查看
19.	胡今朝，林雨佳. 层次分析法在矿山地质环境检测中的应用. 世界有色金属. 2018(22): 276-277 . 百度学术