Preliminary Determination of HDPE Geomembrane Thickness Using Simplified Curve Intersection Method

XUE Xia; WANG Wan-sheng; LI Wang-lin; WANG Bo-lei; LU Yue

doi:10.11988/ckyyb.20221361

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Journal of Changjiang River Scientific Research Institute ›› 2024, Vol. 41 ›› Issue (4) : 140-148. DOI: 10.11988/ckyyb.20221361

Rock-Soil Engineering

Preliminary Determination of HDPE Geomembrane Thickness Using Simplified Curve Intersection Method

XUE Xia^1,2, WANG Wan-sheng¹, LI Wang-lin¹, WANG Bo-lei³, LU Yue⁴

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Abstract

Some inconveniences arise in determining the thickness of geomembrane in plain reservoir basins using the curve intersection method. Such inconveniences include the difficulty in obtaining material's characteristic curves, the need for multiple readings of figures and curves, repeated tension tests, and limited selectivity. To address these challenges, we present a simplified curve intersection method (comprising a simplified linear elastic method and a simplified hyperbolic method) for determining the thickness of HDPE geomembrane based on the fundamental principle of the curve intersection method and the linear elastic and hyperbolic stress-strain constitutive relationships observed during the elastic stage of materials. As a case study, we calculated the thickness of HDPE geomembrane in a plain reservoir in Xinjiang using the proposed method. The results indicated the following: 1) compared to the curve intersection method, the proposed simplified curve intersection method demonstrated a slight calculation error. The average error of the safety factor of tensile stress was approximately 2.22%, while that of strain safety factor was around -4.24%. These findings suggest that the proposed method is reasonably accurate. 2) In identical conditions, square pores exhibited the lowest safety factor of tensile stress, which can be taken as the criterion for determining the safe operation of projects. 3) Under the same pore conditions, the safety factor increased approximately linearly with the thickness of geomembrane. 4) The calculated thickness range of HDPE geomembrane satisfying the safety factor requirements was not less than 0.5 mm. The simplified curve intersection method enables convenient calculation of geomembrane thickness, meeting the demands of determining HDPE geomembrane thickness during the engineering design phase.

Key words

geomembrane thickness / curve intersection method / simplified linear elastic method / simplified hyperbolic method / safety factor / reservoir in plain region

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XUE Xia, WANG Wan-sheng, LI Wang-lin, WANG Bo-lei, LU Yue. Preliminary Determination of HDPE Geomembrane Thickness Using Simplified Curve Intersection Method[J]. Journal of Changjiang River Scientific Research Institute. 2024, 41(4): 140-148 https://doi.org/10.11988/ckyyb.20221361

References

[1] 束一鸣, 吴海民, 姜晓桢. 中国水库大坝土工膜防渗技术进展[J]. 岩土工程学报, 2016, 38(增刊1): 1-9. (SHU Yi-ming, WU Hai-min, JIANG Xiao-zhen. Progress of Geomembrane Seepage Control Technology for China Reservoir Dam[J]. Chinese Journal of Geotechnical Engineering, 2016, 38(Supp.1): 1-9.(in Chinese))
[2] KOERNER R M. Designing with Geosynthetics[M]. Edition 5. New Jersy: Regents/Prentice Hall, 2005.
[3] IMAIZUMI S, YOKOYAMA Y. Consideration onFactor of Safety in Thickness Design of Geomembrane Used as a Liner Subjected to Deformation[J]. Doboku Gakkai Ronbunshu, 1995, 1995(529): 191-196.
[4] 《土工合成材料工程应用手册》编写委员会. 土工合成材料工程应用手册[M]. 北京: 中国建筑工业出版社, 2000.(The Editting Committee. Handbook of Engineering Application of Geosynthetic Materials[M]. Beijing: China Building Industry Press, 2000. (in Chinese))
[5] 石含鑫, 胡育林, 常姗姗. 土工膜在溧阳抽水蓄能工程中的应用[J]. 岩土工程学报, 2016, 38(增刊1): 15-20.(SHI Han-xin, HU Yu-lin, CHANG Shan-shan. Application of Geomembrane in Liyang Pumped Storage Project[J]. Chinese Journal of Geotechnical Engineering, 2016, 38(Supp.1): 15-20.(in Chinese))
[6] 顾淦臣.复合土工膜土石坝的设计和计算[J].水利规划设计,2000(4):49-56.(GU Gan-chen.Design and Calculation of Composite Geomembrane Earth-rock Dam[J].Water Resources Planning and Design,2000(4):49-56.(in Chinese))
[7] 顾淦臣. 大坝防渗用土工膜的厚度计算[J]. 水利工程管理技术, 1992(6): 3-9.(GU Gan-chen. Calculating the Thickness of Impermeable Geomembrane of Dam[J]. Water Conservancy Engineering Management Technology, 1992(6): 3-9.(in Chinese))
[8] 沈永福. 土石坝防渗土工薄膜应力计算方法比较[J]. 水电站设计, 1994, 10(4): 67-68. (SHEN Yong-fu. Comparison of Stress Calculation Methods of Geomembrane for Seepage Control of Earth-rock Dam[J]. Design of Hydroelectric Power Station, 1994, 10(4): 67-68.(in Chinese))
[9] 赵佩钰, 张晓宇. 渠道防渗土工膜厚度的探讨[J]. 防渗技术, 1998(2): 19-24. (ZHAO Pei-yu, ZHANG Xiao-yu. Discussion on the Thickness of Geomembrane for Canal Seepage Control[J]. Technique of Seepage Prevention, 1998,4(2): 19-24.(in Chinese))
[10] 李星, 沈长松. 阿克兰干水库复合土工膜厚度计算理论研究[J]. 四川水利, 2002, 23(6): 25-28. (LI Xing, SHEN Chang-song. Theoretical Study on Thickness Calculation of Composite Geomembrane in Akelangan Reservoir[J]. Sichuan Water Resources, 2002, 23(6): 25-28.(in Chinese))
[11] 岑威钧, 沈长松, 李星, 等. 堤坝中防渗(复合)土工膜的布置型式及计算理论研究[J]. 红水河, 2004, 23(3): 70-74. (CEN Wei-jun, SHEN Chang-song, LI Xing, et al. Study on Layout Pattern and Computation Theory of Impervious(Composite) Geomembrane in Dike and Dam[J]. Hongshui River, 2004, 23(3): 70-74.(in Chinese))
[12] 顾淦臣.复合土工膜或土工膜堤坝实例述评[J].水利水电技术,2002,33(12):26-32,72.(GU Gan-chen.Review of Dams and Dikes with Composite Geomembrane Impervious Structure[J]. Water Resources and Hydropower Engineering,2002,33(12):26-32,72.(in Chinese))
[13] 盛芳芳, 俞佩斯, 管玲玉, 等. 复合土工膜厚度计算方法的应用比较分析[J]. 水电能源科学, 2009, 27(4): 145-147, 226. (SHENG Fang-fang, YU Pei-si, GUAN Ling-yu, et al. Application and Comparison Analysis of Calculating Methods of Composite Geomembrane Thickness[J]. Water Resources and Power, 2009, 27(4): 145-147, 226.(in Chinese))
[14] 黄海玲. 沥青膜料防渗厚度的确定[J]. 防渗技术, 1999, 5(2): 9-17.(HUANG Hai-ling. Determination of the Impermeable Thickness of Asphalt Membrane[J]. Seepage Control Technology, 1999, 5(2): 9-17. (in Chinese))
[15] 岑威钧, 温朗昇, 和浩楠. 水库工程防渗土工膜的强度、渗漏与稳定若干关键问题[J]. 应用基础与工程科学学报, 2017, 25(6): 1183-1192. (CEN Wei-jun, WEN Lang-sheng, HE Hao-nan. Strength, Leakage and Stability Problems of Impermeable Geomembrane for Reservior Project[J]. Journal of Basic Science and Engineering, 2017, 25(6): 1183-1192.(in Chinese))
[16] 沈长松, 顾淦臣. 复合土工膜厚度计算方法研究[J]. 河海大学学报(自然科学版), 2004, 32(4): 395-398. (SHEN Chang-song, GU Gan-chen. Calculation Method for Thickness of Composite Geomembrane[J]. Journal of Hehai University (Natural Sciences),2004,32(4):395-398.(in Chinese))
[17] 魏无际,俞强,崔益华.高分子化学与物理基础[M].2版.北京:化学工业出版社,2011.(WEI Wu-ji,YU Qiang,CUI Yi-hua.Fundamentals of Polymer Chemistry and Physics[M]. Edition 2. Beijing: Chemical Industry Press,2011.(in Chinese))
[18] 范盛金. 一元三次方程的新求根公式与新判别法[J]. 海南师范学院学报(自然科学版), 1989, 2 (2): 91-98.(FAN Sheng-jin. New quadratic formula and discriminance of Linear equation with three variables[J]. Journal of Hainan Normal University (Natural Sciences), 1989, 2(2): 91-98. (in Chinese))
[19] SL/T 225—1998,水利水电工程土工合成材料应用技术规范[S].北京:中国水利水电出版社,1998.(SL/T 225—1998, Standard for Applications of Geosynthetics in Hydraulic and Hydro-power Engineering[S]. Beijing: China Water & Power Press, 1998. (in Chinese))
[20] 岑威钧, 沈长松, 童建文. 深厚覆盖层上复合土工膜防渗堆石坝筑坝特性研究[J]. 岩土力学, 2009, 30(1): 175-180. (CEN Wei-jun, SHEN Chang-song, TONG Jian-wen. Study of Construction Behavior of Composite Geomembrane Rockfill Dam on Thick Alluvium Deposit[J]. Rock and Soil Mechanics, 2009, 30(1): 175-180.(in Chinese))
[21] 周奕琦, 沈振中, 王伟, 等. 复合土工膜库盆防渗上水库应力变形性态分析[J]. 南水北调与水利科技, 2014, 12(2): 160-163, 174. (ZHOU Yi-qi, SHEN Zhen-zhong, WANG Wei, et al. Deformation and Stress Behavior Analysis of Upper Reservoir with Composite Geo-membrane as Impermeable Material[J]. South-to-North Water Transfers and Water Science & Technology, 2014, 12(2): 160-163, 174.(in Chinese))
[22] 陈云, 胡志刚, 吴正萍, 等. 复合土工膜在高土石坝中的应用及施工质量控制[J]. 长江科学院院报, 2017, 34(2): 114-119. (CHEN Yun, HU Zhi-gang, WU Zheng-ping, et al. Application and Construction Quality Control of Composite Geomembrane in High Earth Rockfill Dam[J]. Journal of Yangtze River Scientific Research Institute, 2017, 34(2): 114-119.(in Chinese))