考虑化学反应的聚氨酯高聚物浆液膨胀机理试验与数值模拟研究

李晓龙; 陈灿; 贾赫扬; 马鹏; 桂云祥; 张蓓; 钟燕辉

doi:10.19713/j.cnki.43-1423/u.T20222272

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考虑化学反应的聚氨酯高聚物浆液膨胀机理试验与数值模拟研究

轨道与基础 | 更新时间：2023-12-05

- 考虑化学反应的聚氨酯高聚物浆液膨胀机理试验与数值模拟研究
- Expansion mechanism of polymer considering chemical reactions: Experiment and numerical simulation
- 铁道科学与工程学报 2023年20卷第11期页码：4163-4173
- 作者机构：
  
  1.郑州大学水利与土木工程学院，河南郑州 450001
  2.河南省陆浑水库管理局，河南洛阳 471032
  3.重大基础设施检测修复技术国家地方联合工程实验室，河南郑州 450001
- 作者简介：
  
  陈灿(1992—)，男，河南郑州人，博士研究生，从事劈裂注浆理论研究；E-mail：chenc10002@163.com
- 基金信息：
  
  国家自然科学基金资助项目(52178401;51878622);河南高校科技创新团队支持计划项目(23IRTSTHN014);河南省2021年水利科技攻关项目(72);中原英才计划项目(234200510014)
- DOI：10.19713/j.cnki.43-1423/u.T20222272
  中图分类号：
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李晓龙,陈灿,贾赫扬等.考虑化学反应的聚氨酯高聚物浆液膨胀机理试验与数值模拟研究[J].铁道科学与工程学报,2023,20(11):4163-4173.

LI Xiaolong,CHEN Can,JIA Heyang,et al.Expansion mechanism of polymer considering chemical reactions: Experiment and numerical simulation[J].Journal of Railway Science and Engineering,2023,20(11):4163-4173.
李晓龙,陈灿,贾赫扬等.考虑化学反应的聚氨酯高聚物浆液膨胀机理试验与数值模拟研究[J].铁道科学与工程学报,2023,20(11):4163-4173. DOI： 10.19713/j.cnki.43-1423/u.T20222272.

LI Xiaolong,CHEN Can,JIA Heyang,et al.Expansion mechanism of polymer considering chemical reactions: Experiment and numerical simulation[J].Journal of Railway Science and Engineering,2023,20(11):4163-4173. DOI： 10.19713/j.cnki.43-1423/u.T20222272.

摘要

目前，高聚物浆液膨胀力计算多采用高聚物密度-最终膨胀力经验关系表达式近似确定，不能反映高聚物反应过程中膨胀力的时程变化，制约计算分析的准确性。针对上述问题，基于浆液聚合反应机理，采用龙格库塔方法求解浆液化学反应动力学方程，并结合理想气体状态方程，构建一种能够描述不同约束条件下高聚物密度、膨胀力随时间变化规律的计算模型。进行了固定浆液体积条件下高聚物膨胀力试验和固定围压条件下高聚物密度测试，数值模拟结果与实测值吻合良好，证明了计算模型的适用性。在此基础上分析不同浆液密度和围压下高聚物浆液膨胀机理，结果表明：固定体积条件下，高聚物浆液膨胀力随时间逐渐增大，其增长速度先慢后快，于32～33 s达到峰值，随后逐渐降低，约90 s时趋于0；浆液膨胀力及其时程变化速率、单位密度变化引起的膨胀力变化量均与浆液密度呈正相关。固定围压条件下，高聚物浆液密度随时间逐渐减小，变化速度初始较快，随后逐渐减缓并趋近于0；围压越大，浆液密度越大，其时程变化速率越低，单位围压变化引起的密度改变量越小。利用该模型可实时求解高聚物浆液膨胀力随时间变化过程，为深入研究不同条件下高聚物膨胀扩散机理、浆液-地层相互作用机制奠定基础。

Abstract

Currently, most of the polymer grout expansion pressure calculations are determined approximately by the polymer density-final expansion pressure empirical relationship expression. The approach fails to meet the time history of the expansion pressure during the polymer reaction process, which restricts the accuracy of the calculation and analysis. In response to the problem, a calculation model which can describe the variation of polymer density and expansion pressure with time under different conditions was established. The model based on the energy conservation principle, used the Runge-Kutta method to solve the chemical reaction kinetic equation. And it combined the ideal gas state equation. The experiments for polymer expansion pressure under fixed grout volume condition and polymer density under fixed surrounding pressure condition were carried out. The numerical simulation results agree well with the measured values, which can prove the applicability of the proposed expansion pressure calculation model. On this basis, the effects of grout density and surrounding pressure on expansion behavior are investigated. The results are drawn as follows. Under fixed volume conditions, the polymer expansion pressure increases with time, and the change rate of polymer expansion pressure is fast before slow, reaches a peak at 32～33 s, then slows down and converged to zero at about 90s. The grout expansion pressure and its growth rate increase as the density increases, while the expansion pressure change caused by the density change per unit increases as well. Under the fixed surrounding pressure condition, the polymer grout density gradually decreases with time The change rate is fast before slow and gradually converged to zero. The grout density decreases as the surrounding pressure increases, while the grout density change rate decreases. The larger the surrounding pressure, the smaller the grout density change caused by the change of unit surrounding pressure. The model can resolve the variation process of polymer grout expansion pressure with time, which lays the foundation for further study on the polymer expansion and diffusion mechanism and the grout-ground interaction mechanism under different conditions.

关键词

高聚物浆液膨胀力化学反应试验计算模型

Keywords

polymerexpansion pressurechemical reactionexperimentssimulation model

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