采用曲线交会法确定平原水库库盘土工膜厚度时,存在材料特性曲线难获得、需多次读图取数、重复试验次数多、可选择性小等不便之处。为此,基于曲线交会法的基本原理和材料弹性阶段的线弹性与双曲线应力-应变本构关系,推导了初步确定高密度聚乙烯(HDPE)土工膜厚度的简化曲线交会法(包括简化线弹性法和简化双曲线法),并对新疆某平原水库HDPE土工膜厚度的选取进行了计算分析。结果表明:①与曲线交会法相比,简化曲线交会法计算误差较小,拉应力安全系数误差平均约为2.22％,应变安全系数误差平均约为-4.24％,说明该方法较为准确合理;②当其他条件相同时,正方形孔隙拉应力安全系数最低,以其为该工程安全运用的判断基准;③对同一孔隙条件,安全系数随土工膜厚度增加而增加,且呈近似线性关系;④通过计算得到满足安全系数要求的HDPE土工膜厚度范围为≥0.5 mm。简化曲线交会法有助于土工膜厚度确定时的便捷计算,可以满足工程设计阶段初步确定HDPE土工膜厚度的要求。
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.
关键词
土工膜厚度 /
曲线交会法 /
简化线弹性法 /
简化双曲线法 /
安全系数 /
平原水库
Key words
geomembrane thickness /
curve intersection method /
simplified linear elastic method /
simplified hyperbolic method /
safety factor /
reservoir in plain region
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基金
山东省自然科学基金项目(ZR2019MEE106)
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