温度示踪法量化地表水-地下水交换中的自由对流效应评估

于攀文; 高增文

doi:10.13205/j.hjgc.202502004

温度示踪法量化地表水-地下水交换中的自由对流效应评估

doi: 10.13205/j.hjgc.202502004

于攀文,
高增文^,

青岛大学, 山东青岛 266071

基金项目:

国家自然科学基金“海湾水库底边界层对水体突然泛咸的双重影响机制与效应”(51279075)

详细信息

作者简介:
于攀文(1997-),男,硕士,主要研究方向为水资源利用与水环境保护。1224620612@qq.com

通讯作者:
高增文(1974-),男,博士,副教授,主要研究方向为水资源利用与水环境保护。gaozengwen@163.com

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出版历程
- 收稿日期: 2024-05-06
- 录用日期: 2024-08-08
- 修回日期: 2024-07-17

Necessity of analysis of free convection effects in quantification of surface water-groundwater exchange by temperature tracer

YU Panwen,
GAO Zengwen^,

Qingdao University, Qingdao 266071, China

摘要

摘要: 温度示踪法是一种基于热运移扩散方程,通过反演确定沉积物孔隙水流速的常用方法。但实际应用中通常忽略自由对流及其效应,并且相关研究也没有探讨过这种忽略处理的合理性。设计了砂箱装置模拟沉积物-上覆水系统的自由对流现象,通过R语言程序建立一维热传输模型,探讨温度示踪法应用中考虑自由对流效应的必要性;研究中以额外的热扩散系数表达自由对流效应,并主要通过参数敏感性分析评估忽略自由对流对反演结果(流速)的影响程度。结果表明,额外热扩散系数可以达到饱和水填充物固有热扩散系数的1~6倍;参数的敏感性分析表明,55%的热扩散系数偏差可以导致约13%流速估值误差;实验条件下忽略自由对流会引起反演流速结果出现最大0.012 cm/min的偏差,这种程度的偏差将严重影响沉积物-上覆水之间热量与污染物交换通量的计算。在应用温度示踪法时宜先评估自由对流对反演结果的影响程度,并据此决定是否将其效应考虑在热传输机制内。
- 地表水-地下水交换 /
- 温度示踪法 /
- 沉积物孔隙水运动 /
- 热运移扩散方程 /
- 自由对流 /
- 砂箱实验
Abstract: Temperature tracing is a widely used method for determining pore water velocity in sediments, based on the thermal diffusion equation. This technique is valuable for understanding fluid dynamics in subsurface environments. However, in practice, the phenomenon of free convection and its associated effects are often overlooked. The assumption that free convection can be ignored is not always justified, and the implications of this assumption have not been thoroughly discussed in the literature. This oversight can lead to inaccuracies in the results obtained from temperature tracing methods. In this paper, a sandbox device was designed to simulate free convection in the sediment-water system to address this issue. This experimental setup provided a controlled environment where the effects of free convection can be systematically observed and quantified. A one-dimensional heat transfer model was developed using the R Language Program to explore the necessity of incorporating free convection effects in application of temperature tracing. This model offered a robust framework for simulating and analyzing heat transfer processes. In the study, the impact of free convection was quantified by introducing an additional thermal diffusion coefficient. This coefficient accounted for the enhanced heat transfer due to the buoyancy-driven movement of fluids. The primary focus was to assess how neglecting free convection affects the inversion results, particularly the velocity estimates. This was done through a detailed parameter sensitivity analysis, which helps understand how variations in model parameters influence the output. The findings revealed that the additional thermal diffusion coefficient can be 1 to 6 times greater than the inherent thermal diffusion coefficient of the saturated water filling material. This indicated a significant potential impact of free convection on temperature tracing results. The sensitivity analysis showed that a 55% deviation in the thermal diffusion coefficient could lead to a 13% error in velocity estimation. Disregarding free convection caused a maximum deviation of 0.012 cm/min in the inversion velocity results, which significantly affected the calculation of heat and pollutant exchange fluxes between sediment and water. Therefore, it is recommended to evaluate the influence of free convection on inversion results before applying the temperature tracing method. This evaluation can be conducted through experimental observation and computational modeling. Based on this assessment, researchers can decide whether to incorporate free convection effects into the heat transfer mechanism. By doing so, they can enhance the accuracy and reliability of the temperature tracing method, providing a more comprehensive understanding of fluid dynamics in sedimentary environments. This approach will lead to better-informed decisions in environmental management and engineering projects.
- surface water-groundwater exchange /
- temperature tracing method /
- pore water movement in sediment /
- heat transfer equation /
- free convection /
- sandbox experiment

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参考文献(27)

[1]	KURYLYK B L, IRVINE D J, BENSE V F. Theory, tools, and multidisciplinary applications for tracing groundwater fluxes from temperature profiles[J]. Wiley Interdisciplinary Reviews: Water, 2019, 58(3): 1-13.
[2]	KURYLYK B L, IRVINE D J. Heat: an overlooked tool in the practicing hydrogeologist’s toolbox[J]. Groundwater, 2019,57(4):517-524.
[3]	董林垚, 唐文坚, 陈建耀, 等. 温度示踪界面水文过程研究进展及发展趋势[J]. 长江科学院院报, 2022, 39(4): 21-26. DONG L Y, TANG W J, CHEN J Y, et al. Interfacial hydrological process of heat tracing: research progresses and development trends[J]. Journal of Changjiang River Scientific Research Institute,2022, 39(4): 21-26.
[4]	傅晗昕, 冷建涛, 张田忠. 温度梯度与缺陷共同作用下的双壁碳纳米管持续驱动器件[J]. 力学季刊, 2023, 44(2): 258-268. FU H X, LENG J T, ZHANG T Z. Continuous driving based on defected double walled carbon nanotubes with temperature gradients[J]. Chinese Quarterly of Mechanics, 2023, 44(2): 258-268.
[5]	许倍源, 武丽文, 张明珠, 等. 热示踪在潜流带中的研究进展[J]. 水文, 2024, 44(2), 1-14. XU B Y, WU L W, ZHANG M Z, et al. Advances in heat tracer in hyporheic zone[J]. Journal of China Hydrology, 2024, 44(2), 1-14.
[6]	李英玉, 赵坚, 吕辉, 等. 河岸带潜流层温度示踪流速计算方法[J]. 水科学进展, 2016, 27(3): 423-429. LI Y Y, ZHAO J, LV H, et al. Investigation on temperature tracer method calculated flow rate of hyporheic layer in riparian zone[J]. Advances in Water Science, 2016, 27(3): 423-429.
[7]	KOCH F W, VOYTEK E B, DAY-LEWIS F D, et al. 1DTempPro V2: new features for inferring groundwater/surface-water exchange[J]. Groundwater, 2016, 54 (3): 434-439.
[8]	BASTOLA H, PETERSON E W. Heat tracing to examine seasonal groundwater flow beneath alow-gradient stream in rural central Illinois, USA[J]. Hydrogeology Journal, 2016, 24 (1):181-194.
[9]	SU X R, SHU L C, CHEN X H, et al. Interpreting the cross-sectional flow field in a river bank based on agenetic-algorithm two-dimensional heat-transport method (GA-VS2DH)[J]. Hydrogeology Journal, 2016, 24 (8): 2035-2047.
[10]	MUNZ M, SCHMIDT C. Estimation of vertical water fluxes from temperature time series by the inverse numerical computer program FLUX-BOT[J]. Hydrological Processes, 2017, 31 (15):2713-2724.
[11]	NARANJO R, SMITH D, LINDENBACH E. Incorporating temperature into seepage loss estimates for a large unlined irrigation canal[J]. Journal of Hydrology, 2023, 617: 129117.
[12]	SIMON N, BOUR O, FAUCHEUX M, et al. Combining passive and active distributed temperature sensing measurements to locate and quantify groundwater discharge variability into a headwater stream[J]. Hydrology and Earth System Sciences, 2022, 26(5): 1459-1479.
[13]	SHI W G, ZHAN H B, WANG Q R, et al. Quantifying vertical streambed fluxes and streambed thermal properties using heat as a tracer during extreme hydrologic events[J]. Journal of Hydrology, 2024, 629: 130553.
[14]	CHEN K W, Zhan H B, Wang Q R. An innovative solution of diurnal heat transport in streambeds with arbitrary initial condition and implications to the estimation of water flux and thermal diffusivity under transient condition[J]. Journal of Hydrology, 2018, 567: 361-369.
[15]	SCHNEIDEWIND U, VAN B M, ANIBAS C, et al. LPMLE3: a novel 1-D approach to study water flow in streambeds using heat as a tracer[J]. Water Resources Research, 2016, 52(8): 6596-6610.
[16]	李梅,温冰,应蓉蓉,等.地下水环境调查关键技术参数与工艺方法探讨[J].环境工程,2023,41(12):227-235. LI M, WEN B, YING R R, et al. Discussion on key technical parameters and process methods of groundwater environmental investigation[J]. Environmental Engineering,2023,41(12):227-235.
[17]	DING G Q, LI N, LIU B, et al. Numerical study of mixed and free convection heat transfer under ocean conditions[J]. International Journal of Heat and Mass Transfer, 2023, 203: 123811.
[18]	雷原, 庞明军. 单气泡对层流自然对流传热影响的数值研究[J]. 化学工程, 2023, 51(11): 13-19. LEI Y, PANG M J. Numerical simulation on effect of single bubble on natural convection heat transfer in laminar flow[J]. Chemical Engineering (China), 2023, 51(11): 13-19.
[19]	田兴旺, 徐振涛, 张琨, 等. 制冷剂复合强化流动沸腾传热研究进展[J]. 制冷学报, 2023, 44(6): 1-14. TIAN Y W, XU Z T, ZHANG K, et al. Research progress in composite-enhanced flow boiling heat transfer for refrigerants[J]. Journal of Refrigeration, 2023, 44(6): 1-14.
[20]	STALLMAN R W. Steady one-dimensional fluid flow in a semi-infinite porous medium with sinusoidal surface temperature[J]. Journal of Geophysical Research, 1965, 70(12): 2821-2827.
[21]	van KAMPEN R, SCHNEIDEWIND U, ANIBAS C, et al. LPMLEn: a frequency domain method to estimate vertical streambed fluxes and sediment thermal properties in semi-infinite and bounded domains[J]. Journal of Geophysical Research, 2022,58(3): 1-13.
[22]	LUCE C H, TONINA D, APPLEBEE R, et al. Was that assumption necessary? Reconsidering boundary conditions for analytical solutions to estimate streambed fluxes[J]. Water Resources Research, 2017, 53(11): 9771-9790.
[23]	WILSON A M, WOODWARD G L, SAVIDGE W B. Using heat as a tracer to estimate the depth of rapid porewater advection below the sediment-water interface[J]. Journal of Hydrology, 2016, 538: 743-753.
[24]	SAPHORES E, LERAY S, SUÁREZ F. Groundwater-surface water exchange from temperature time series: a comparative study of heat tracer methods[J]. Journal of Hydrology, 2024: 130955.
[25]	刘华.下渗对滨海水库咸化时间尺度的影响及水交换速度的热示踪反演[D].青岛:青岛大学, 2021. LIU H. Influence of infiltration on the salinization time scale of an estuary reservoir and heat tracing of the surface-subsurface exchange[D]. Qingdao: Qingdao University, 2021.
[26]	BOERS P C M. Studying the phosphorus release from the Loosdrecht Lakes sediments, using a continuous flow system[J]. Hydrobiological Bulletin, 1986, 20(1): 51-60.
[27]	LIU H, GAO Z W, LI J. Inclusion of slow infiltration in determining the influence time of saline sediments on reservoir water[J]. Journal of Hydrology, 2021, 603: 126853.