Numerical simulation of PE pipeline damages with synergistic effect of multiple factors

doi:10.19491/j.issn.1001-9278.2025.05.010

Abstract

Abstract:

In this paper， a numerical simulation of polyethylene （PE） pipeline damages was conducted using the ABAQUS software by consideration of the synergistic effects of near⁃line pressure， ground settlement， pipeline internal pressure， buried depth， and ambient temperature. An orthogonal experiment was designed to investigate the impact of different factors on the pipeline damages. The results indicated that the pipeline experienced axial stretching and radial bending under the combined action of multiple factors， and the maximum Mises stress and maximum change rate occurred at the edge of the pressure occupied area. Through orthogonal analysis， it was found that when the near line occupying pressure and soil settlement around pipeline occurred simultaneously， the ground occupying pressure was the primary factor contributing to PE pipeline damage and the ground subsidence had a. limited influence.

Key words: polyethylene pipeline, near line occupying pressure, land subsidence, orthogonal test, numerical simulation

CLC Number:

TQ325.1⁺2

TANG Wenliang, YAN Jizhong, SHEN Limin, YANG Hong, WU Shengping, WANG GuoXing. Numerical simulation of PE pipeline damages with synergistic effect of multiple factors[J]. China Plastics, 2025, 39(5): 63-69.

Figures/Tables 16

土体密度（ρ）/kg·m^-3	黏聚力（c）/KPa	泊松比	土壤弹性模量（E）/KPa	摩擦角（β）/（°）	流应力比（k）	剪胀角（Ψ）/（°）
1 867.3	29.3	0.4	20 000	28.7	1	14.35

Tab.1. D⁃P model parameters

屈服应力（σ₁-σ₂c）/kPa	ABS塑料应变（ε_p）
170.1	0
649.9	0.035
740.3	0.050
801.4	0.073
848.0	0.091

Tab.2. D⁃P model hardening parameters

温度/℃	材料	泊松比	管材密度/kg·m^-3	初始弹性模量（E₀）/MPa	屈服应力（R_eL）/MPa
-15	PE100	0.45	951	595.82	23.08
15				363.67	14.79
30				284.12	11.80

Tab.3. Material parameters of the PE pipes at different temperature

Fig.1. Buried pipeline model and grid division

Fig.2. Schematic diagram of boundary conditions and load loading of the pressure and settlement model

Fig.3. Change of maximum Mises stress with the number of mesh elements

因素	地面占压（F_Z）/MPa	地面沉降（H_c）/mm	管道内压（P）/MPa	环境温度（T）/℃	管道埋深（H）/mm
水平1	0	0	0.2	-15	600
水平2	0.5	1 500	0.4	15	800
水平3	1.0	3 000	0.6	30	1 000

Tab.4. Factors and levels of the orthogonal design

编号	F_Z	H_c	（F_z×H_c）₁（F_z×H_c）₂		P	（F_z×P）₁（F_z×P）₂（H_c×P）₁			T	H	（H_c×P）₂
1	1	1	1	1	1	1	1	1	1	1	1
2	1	1	1	1	2	2	2	2	2	2	2
3	1	1	1	1	3	3	3	3	3	3	3
4	1	2	2	2	1	1	1	2	2	2	3
5	1	2	2	2	2	2	2	3	3	3	1
6	1	2	2	2	3	3	3	1	1	1	2
7	1	3	3	3	1	1	1	3	3	3	2
8	1	3	3	3	2	2	2	1	1	1	3
9	1	3	3	3	3	3	3	2	2	2	1
10	2	1	2	3	1	2	3	1	2	3	1
11	2	1	2	3	2	3	1	2	3	1	2
12	2	1	2	3	3	1	2	3	1	2	3
13	2	2	3	1	1	2	3	2	3	1	3
14	2	2	3	1	2	3	1	3	1	2	1
15	2	2	3	1	3	1	2	1	2	3	2
16	2	3	1	2	1	2	3	3	1	2	2
17	2	3	1	2	2	3	1	1	2	3	3
18	2	3	1	2	3	1	2	2	3	1	1
19	3	1	3	2	1	3	2	1	3	2	1
20	3	1	3	2	2	1	3	2	1	3	2
21	3	1	3	2	3	2	1	3	2	1	3
22	3	2	1	3	1	3	2	2	1	3	3
23	3	2	1	3	2	1	3	3	2	1	1
24	3	2	1	3	3	2	1	1	3	2	2
25	3	3	2	1	1	3	2	3	2	1	2
26	3	3	2	1	2	1	3	1	3	2	3
27	3	3	2	1	3	2	1	2	1	3	1

Tab.5. Orthogonal experimental design

Fig.4. Mises stress cloud map of the PE buried pipeline under synergistic effect of multiple factors

Fig.5. Mises stress cloud map of the soil model under synergistic effect of multiple factor

Fig.6. U2 displacement cloud map of the soil model under synergistic effect of multiple factors

Fig.7. U2 displacement cloud image of the PE pipeline under synergistic effect of multiple factors

Fig.8. Changes of U2 direction offset and tube cross section change rate of the PE tube along axial distance under synergistic action of multiple factors

Fig.9. Changes of Mises stress at the three points along axial distance of pipes under synergistic effect of multiple factors

编号	F_z	H_c	（F_z×H_c）₁（F_z×H_c）₂		P	（F_z×P）₁（F_z×P）₂（H_c×P）₁			T	H	（H_c×P）₂	最大应力
1	1	1	1	1	1	1	1	1	1	1	1	0.621
2	1	1	1	1	2	2	2	2	2	2	2	1.546
3	1	1	1	1	3	3	3	3	3	3	3	2.517
4	1	2	2	2	1	1	1	2	2	2	3	0.647
5	1	2	2	2	2	2	2	3	3	3	1	1.639
6	1	2	2	2	3	3	3	1	1	1	2	2.659
7	1	3	3	3	1	1	1	3	3	3	2	0.675
8	1	3	3	3	2	2	2	1	1	1	3	1.635
9	1	3	3	3	3	3	3	2	2	2	1	2.530
10	2	1	2	3	1	2	3	1	2	3	1	1.541
11	2	1	2	3	2	3	1	2	3	1	2	1.571
12	2	1	2	3	3	1	2	3	1	2	3	2.855
13	2	2	3	1	1	2	3	2	3	1	3	1.124
14	2	2	3	1	2	3	1	3	1	2	1	2.345
15	2	2	3	1	3	1	2	1	2	3	2	3.216
16	2	3	1	2	1	2	3	3	1	2	2	2.155
17	2	3	1	2	2	3	1	1	2	3	3	3.033
18	2	3	1	2	3	1	2	2	3	1	1	3.291
19	3	1	3	2	1	3	2	1	3	2	1	3.024
20	3	1	3	2	2	1	3	2	1	3	2	6.050
21	3	1	3	2	3	2	1	3	2	1	3	3.501
22	3	2	1	3	1	3	2	2	1	3	3	5.457
23	3	2	1	3	2	1	3	3	2	1	1	3.128
24	3	2	1	3	3	2	1	1	3	2	2	4.191
25	3	3	2	1	1	3	2	3	2	1	2	2.938
26	3	3	2	1	2	1	3	1	3	2	3	4.346
27	3	3	2	1	3	2	1	2	1	3	1	7.846

Tab.6. Results of orthogonal test

方差来源	差异（S）	因素自由度（f）	方差（MS）	F
$F z$	40.571 6	2	20.285 8	284.710 5
$H c$	1.667 5	2	0.833 8	11.701 7
$P$	11.559 4	2	5.779 7	81.117 6
$T$	6.541 9	2	3.271 0	45.907 9
$H$	7.848 9	2	3.924 4	55.079 4
$F z × H c$	0.806	4	0.201 5	2.828 2
$F z × P$	0.247 4	4	0.061 9	0.868 2
$H c × P$	4.097 1	4	1.024 3	14.375 7
误差（e）	0.076	4	0.071 3	—
总和	73.418	26	—	—

方差来源	差异（S）	因素自由度（f）	方差（MS）	F
$F z$	40.571 6	2	20.285 8	284.710 5
$H c$	1.667 5	2	0.833 8	11.701 7
$P$	11.559 4	2	5.779 7	81.117 6
$T$	6.541 9	2	3.271 0	45.907 9
$H$	7.848 9	2	3.924 4	55.079 4
$F z × H c$	0.806	4	0.201 5	2.828 2
$F z × P$	0.247 4	4	0.061 9	0.868 2
$H c × P$	4.097 1	4	1.024 3	14.375 7
误差（e）	0.076	4	0.071 3	—
总和	73.418	26	—	—

Tab.7. Analysis of the variance

References 15

1	贺子东，梁耀方．聚乙烯燃气管道的应用及发展［J］．化工管理，2022，04：107⁃109．
	HE Z， LIANG Y. Application and development of polyethylene gas pipeline［J］. Chemical Management， 2022，04：107⁃109.
2	彭星煜，陈桂芳，陈磊，等．建筑物占压作用下输气管道的安全可靠性评估［J］．油气储运， 2022，41（05）：549⁃556．
	PENG X， CHEN G， CHEN L， et al. Safety and reliability assessment of gas transmission pipeline under building occupying pressure［J］. Hydrocarbon Storage and Transportation， 2022，41（05）：549⁃556.
3	李杰．PE管道在施工过程中地面沉降影响因素的研究［D］．南昌：南昌大学，2019．
4	Tafreshi S N M， Khalaj O. Laboratory tests of small⁃diameter HDPE pipes buried in reinforced sand under repeated⁃load［J］. Geotextiles and Geomembranes， 2008，26（2）：145⁃163.
5	孙文君，肖成志，王嘉勇，等．循环荷载作用下埋地管道力学与变形性能研究［J］．公路工程，2018，43（05）：61⁃68．
	SUN W， XIAO C， WANG J， et al. Study on mechanical and deformation properties of buried pipeline under cyclic load ［J］. Highway Engineering， 2018，43（05）：61⁃68.
6	Franco Y B， Silva J L D， Valentin C A. A new small⁃scale test apparatus for modeling buried pipes under axial or lateral soil loading［J］. Geotechnical Testing Journal， 2020，43（1）：52⁃69.
7	王博．典型复杂载荷下埋地含缺陷PE管道强度的数值模拟研究［D］．广州：华南理工大学，2018．
8	Luo X， Lu S， Shi J， et al. Numerical simulation of strength failure of buried polyethylene pipe under foundation settlement［J］. Engineering Failure Analysis， 2015，48：144⁃152.
9	周敏.地层沉陷过程中埋地高密度聚乙烯（HDPE）管道力学行为研究［J］．岩石力学与工程学报，2017， 36（S2）：4 177⁃4 187．
	ZHOU M. Study on mechanical behavior of buried high density polyethylene （HDPE） pipeline during formation subsidence［J］. Chinese Journal of Rock Mechanics and Engineering， 2017， 36（S2）：4 177⁃4 187.
10	罗利，马燕，张永军，等．地基沉降作用下埋地聚乙烯管强度失效的数值模拟［J］．建筑材料学报，2020，23（02）：473⁃478．
	LUO L， MA Y， ZHANG Y， et al. Numerical simulation of strength failure of buried polyethylene pipe under foundation settlement［J］. Journal of Building Materials， 2019， 23（02）：473⁃478.
11	帅健，王晓霖，左尚志．地质灾害作用下管道的破坏行为与防护对策［J］．焊管，2008，05：9⁃15．
	SHUAI J， WANG X， ZUO S. Failure behavior of pipeline under geological hazards and protective measures［J］. Welded Pipe， 2008， 05：9⁃15.
12	马涛，廖公云，黄晓明．Abaqus有限元软件在道路工程中的应用［M］．南京：东南大学出版社，2008：138⁃139．
13	刘鹏，李玉星，张宇，等．典型地质灾害下埋地管道的应力计算［J］．油气储运，2021，40（02）：157⁃165．
	LIU P， LI Y， ZHANG Y， et al. Stress calculation of buried pipeline under typical geological hazards［J］. Oil and Gas Storage and Transportation， 2021， 40（02）：157⁃165.
14	杨洪．环境⁃载荷协同作用的埋地PE燃气管道损伤数值模拟［D］．徐州：中国矿业大学，2023．
15	刘炯天，樊民强．试验研究方法［M］．徐州：中国矿业大学出版社，2016：495⁃496．

[1]	CHEN Zhengnan, CHEN Binyi, HUANG An. Injection molding optimization of socket housing based on Modex3D [J]. China Plastics, 2025, 39(5): 64-70.
[2]	. Numerical simulation of PE pipeline damages with synergistic effect of multiple factors [J]. , 2025, 39(5): 63-69.
[3]	WANG Yu, ZHANG Yajun, ZHENG Yongbiao, GAO Cong. Research progress in of polymer gas⁃assisted extrusion technology and its and applications [J]. China Plastics, 2025, 39(3): 114-117.
[4]	HUANG Ke, ZOU Huajie, QIAN Zilong, LI Bingbing. Optimization and experimental verification of injection⁃molding parameters of leather back trim for vehicle [J]. China Plastics, 2025, 39(3): 77-80.
[5]	. Research Progress and Application of Polymer Gas-assisted Extrusion Technology [J]. , 2025, 39(3): 114-117.
[6]	ZHAI Menglei, CHEN Wenguang, HUANG Ming, LEI Jinyu, ZHANG Na, LIU Chuntai, GAO Guoli. Calculation method and numerical verification of transverse dynamic permeability in large⁃tow carbon fiber tows [J]. China Plastics, 2024, 38(9): 54-59.
[7]	REN Qinghai, SUN Zudong, GENG Tie. Orthogonal precision design optimization of gas⁃assisted molding process parameters [J]. China Plastics, 2024, 38(7): 62-67.
[8]	LIN Gaoming, ZHANG Guohui, ZONG Huceng, WANG Chongyang, HE Youfeng, WANG Suwei. Simulation and optimization of key component structure of vertical spiral extrusion filling equipment for polymer⁃based high⁃viscous slurry [J]. China Plastics, 2024, 38(5): 107-112.
[9]	CHEN Hao, YANG Weimin, XUN Shanglun, ZHANG Haitao, JIAO Zhiwei. Numerical simulation and experimental study of electromagnetic heating process of twin⁃screw extruder plasticizing system and its applications [J]. China Plastics, 2024, 38(3): 101-108.
[10]	ZHOU Lei, ZHANG Lihua, CHEN Gingming, MAO Xu, CHEN Shuguang, QIU Jiancheng. Flow field analysis and design optimization of flow channel of degradable plastic sheet head [J]. China Plastics, 2023, 37(9): 90-95.
[11]	DING Hai, MA Bingxin, HUA Shaozhen, CAO Wei. Optimization and design of central venous catheter mold by Polyflow [J]. China Plastics, 2023, 37(8): 113-117.
[12]	MA Xiuqing, LAO Zhichao, LI Mingqian, HAN Shuntao, HU Nan. Effect of screw configuration on performance of PLA/PTW blends [J]. China Plastics, 2023, 37(11): 127-134.
[13]	ZHANG Yiming, HUANG Zhigang, XU Zhen, CHENG Yuanyuan. Simulation analysis of the influence of screw configuration on the flow field of meshing twin screw [J]. China Plastics, 2023, 37(10): 131-138.
[14]	WANG Dejian, YU Pengfei, DING Yumei, YANG Weimin. Numerical simulation of extrusion flow process of natural polymers in laminated flow channels [J]. China Plastics, 2023, 37(1): 60-65.
[15]	ZHAO Hongjing, ZHU Jiang. Study on numerical simulation of two⁃phase extrusion for micro/nano⁃laminated natural rubber/polypropylene [J]. China Plastics, 2022, 36(8): 110-114.