Articles | Volume 29, issue 20
https://doi.org/10.5194/hess-29-5251-2025
© Author(s) 2025. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/hess-29-5251-2025
© Author(s) 2025. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Improving heat transfer predictions in heterogeneous riparian zones using transfer learning techniques
Aohan Jin
School of Environmental Studies, China University of Geosciences, Wuhan, Hubei, 430074, China
Wenguang Shi
School of Environmental Studies, China University of Geosciences, Wuhan, Hubei, 430074, China
Jun Du
PipeChina Energy Storage Technology Co., Ltd, Shanghai, 200001, China
Renjie Zhou
Department of Environmental and Geosciences, Sam Houston State University, Huntsville, TX 77340, USA
Hongbin Zhan
Department of Geology and Geophysics, Texas A&M University, College Station, TX 77843-3115, USA
Yao Huang
Beyonding Energy Science Technology Co., Ltd, Shanghai, 200122, China
School of Environmental Studies, China University of Geosciences, Wuhan, Hubei, 430074, China
MOE Key Laboratory of Groundwater Quality and Health, China University of Geosciences, Wuhan 430078, China
Xuan Gu
School of Environmental Studies, China University of Geosciences, Wuhan, Hubei, 430074, China
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1. A revised 3D model of solute transport is developed in the well–aquifer system. 2. The accuracy of the new model is tested against benchmark analytical solutions. 3. Previous models overestimate the concentration of solute in both aquifers and wellbores in the injection well test case. 4. Previous models underestimate the concentration in the extraction well test case.
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The mechanism of radial dispersion is important for understanding reactive transport in the subsurface and for estimating aquifer parameters required in the optimization design of remediation strategies. A general model and associated analytical solutions are developed in this study. The new model represents the most recent advancement on radial dispersion studies and incorporates a host of important processes that are not taken into consideration in previous investigations.
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Hydrol. Earth Syst. Sci. Discuss., https://doi.org/10.5194/hess-2022-392, https://doi.org/10.5194/hess-2022-392, 2022
Preprint withdrawn
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Water is the most important limiting factor for plants in an arid region, and plants are often suffered from drought stress during their growth. To adapt to the arid environment, plants have developed certain ways to accommodate the harsh water-deficit environments. This complex relationship is difficult to measure in the field, but Sap Flow is easily found and correlated with water usage. Our results showed that Tamarisk leaves could absorb unsaturated water vapor and precipitation directly.
Zhongxia Li, Junwei Wan, Tao Xiong, Hongbin Zhan, Linqing He, and Kun Huang
Hydrol. Earth Syst. Sci., 26, 3359–3375, https://doi.org/10.5194/hess-26-3359-2022, https://doi.org/10.5194/hess-26-3359-2022, 2022
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Four permeable rocks with different pore sizes were considered to provide experimental evidence of Forchheimer flow and the transition between different flow regimes. The mercury injection technique was used to measure the pore size distribution, which is an essential factor for determining the flow regime, for four permeable stones. Finally, the influences of porosity and particle size on the Forchheimer coefficients were discussed.
Yiben Cheng, Hongbin Zhan, Wenbin Yang, Yunqi Wang, Qunou Jiang, and Bin Wang
Hydrol. Earth Syst. Sci. Discuss., https://doi.org/10.5194/hess-2021-285, https://doi.org/10.5194/hess-2021-285, 2021
Manuscript not accepted for further review
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A newly designed Lysimeter was used to monitor deep soil recharge (DSR) of the Pinus sylvestris var. mongolica (PSM). The PSM forest has considerably changed the process of regional water redistribution. The most obvious change was the decrease of precipitation-induced recharge to groundwater. PSM in semi-arid areas will not significantly changed the transpiration due to environmental changes, especially when the annual rainfall increases, the transpiration almost unchanged.
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Hydrol. Earth Syst. Sci., 24, 5875–5890, https://doi.org/10.5194/hess-24-5875-2020, https://doi.org/10.5194/hess-24-5875-2020, 2020
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The Three North Forest Program has produced a vast area of lined forest in semi-arid regions, which consumes a large amount of water resources. This study uses a newly designed lysimeter to measure water distribution without destroying the in situ vegetation soil structure. It addresses the shortcomings of a traditional lysimeter, in terms of changing the in situ soil structure and destroying the vegetation root system, and the shortcomings of high costs and inconvenient installation.
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Hydrol. Earth Syst. Sci. Discuss., https://doi.org/10.5194/hess-2020-586, https://doi.org/10.5194/hess-2020-586, 2020
Preprint withdrawn
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This study develops a new general semi-analytical solution for three-dimensional flow in an anisotropic three-layer aquifer system induced by a partially penetrating well with time-varying discharge. The solution generalizes the cases which have already been addressed by other available papers. The flow behavior is thoroughly explored under different type of top and bottom boundaries and an exponentially decayed pumping rate. The potential application of our study is discussed in detail.
Cited articles
Arcomano, T., Szunyogh, I., Wikner, A., Pathak, J., Hunt, B. R., and Ott, E.: A hybrid approach to atmospheric modeling that combines machine learning with a physics-based numerical model, J. Adv. Model. Earth Sy., 14, e2021MS002712, https://doi.org/10.1029/2021MS002712, 2022.
Bandai, T. and Ghezzehei, T. A.: Physics-informed neural networks with monotonicity constraints for Richardson-Richards equation: Estimation of constitutive relationships and soil water flux density from volumetric water content measurements, Water Resour. Res., 57, e2020WR027642, https://doi.org/10.1029/2020WR027642, 2021.
Barclay, J. R., Topp, S. N., Koenig, L. E., Sleckman, M. J., and Appling, A. P.: Train, inform, borrow, or combine? Approaches to process-guided deep learning for groundwater-influenced stream temperature prediction, Water Resour. Res., 59, e2023WR035327, https://doi.org/10.1029/2023WR035327, 2023.
Brunner, P., Therrien, R., Renard, P., Simmons, C. T., and Franssen, H.-J. H.: Advances in understanding river-groundwater interactions, Rev. Geophys., 55, 818–854, https://doi.org/10.1002/2017RG000556, 2017.
Bukaveckas, P. A.: Effects of channel restoration on water velocity, transient storage, and nutrient uptake in a channelized stream, Environ. Sci. Technol., 41, 1570–1576, https://doi.org/10.1021/es061618x, 2007.
Callaham, J. L., Koch, J. V., Brunton, B. W., Kutz, J. N., and Brunton, S. L.: Learning dominant physical processes with data-driven balance models, Nat. Commun., 12, 1016, https://doi.org/10.1038/s41467-021-21331-z, 2021.
Cao, H., Xie, X., Shi, J., Jiang, G., and Wang, Y.: Siamese network-based transfer learning model to predict geogenic contaminated groundwaters, Environ. Sci. Technol., 56, 11071–11079, https://doi.org/10.1021/acs.est.1c08682, 2022.
Chen, K., Zhan, H., and Wang, Q.: 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. Hydrol., 567, 361–369, https://doi.org/10.1016/j.jhydrol.2018.10.008, 2018.
Chen, K., Chen, X., Song, X., Briggs, M. A., Jiang, P., Shuai, P., Hammond, G., Zhan, H., and Zachara, J. M.: Using ensemble data assimilation to estimate transient hydrologic exchange flow under highly dynamic flow conditions, Water Resour. Res., 58, e2021WR030735, https://doi.org/10.1029/2021WR030735, 2022.
Chen, Z., Xu, H., Jiang, P., Yu, S., Lin, G., Bychkov, I., Hmelnov, A., Ruzhnikov, G., Zhu, N., and Liu, Z.: A transfer Learning-based LSTM strategy for imputing large-scale consecutive missing data and its application in a water quality prediction system, J. Hydrol., 602, 126573, https://doi.org/10.1016/j.jhydrol.2021.126573, 2021.
Cho, K. and Kim, Y.: Improving streamflow prediction in the WRF-Hydro model with LSTM networks, J. Hydrol., 605, 127297, https://doi.org/10.1016/j.jhydrol.2021.127297, 2022.
Cui, G. and Zhu, J.: Prediction of unsaturated flow and water backfill during infiltration in layered soils, J. Hydrol., 557, 509–521, https://doi.org/10.1016/j.jhydrol.2017.12.050, 2018.
Elliott, A. H. and Brooks, N. H.: Transfer of nonsorbing solutes to a streambed with bed forms: Laboratory experiments, Water Resour. Res., 33, 137–151, https://doi.org/10.1029/96WR02783, 1997.
Feigl, M., Lebiedzinski, K., Herrnegger, M., and Schulz, K.: Machine-learning methods for stream water temperature prediction, Hydrol. Earth Syst. Sci., 25, 2951–2977, https://doi.org/10.5194/hess-25-2951-2021, 2021.
Fleckenstein, J. H., Krause, S., Hannah, D. M., and Boano, F.: Groundwater-surface water interactions: New methods and models to improve understanding of processes and dynamics, Adv. Water Resour., 33, 1291–1295, https://doi.org/10.1016/j.advwatres.2010.09.011, 2010.
Guo, H., Zhuang, X., Alajlan, N., and Rabczuk, T.: Physics-informed deep learning for melting heat transfer analysis with model-based transfer learning, Computers and Mathematics with Applications, 143, 303–317, https://doi.org/10.1016/j.camwa.2023.05.014, 2023.
Halloran, L. J. S., Rau, G. C., and Andersen, M. S.: Heat as a tracer to quantify processes and properties in the vadose zone: A review, Earth-Sci. Rev., 159, 358–373, https://doi.org/10.1016/j.earscirev.2016.06.009, 2016.
He, Q. and Tartakovsky, A. M.: Physics-informed neural network method for forward and backward advection-dispersion equations, Water Resour. Res., 57, e2020WR029479, https://doi.org/10.1029/2020WR029479, 2021.
Heavilin, J. E. and Neilson, B. T.: An analytical solution to main channel heat transport with surface heat flux, Adv. Water Resour., 47, 67–75, https://doi.org/10.1016/j.advwatres.2012.06.006, 2012.
Hu, J., Tang, J., and Lin, Y.: A novel wind power probabilistic forecasting approach based on joint quantile regression and multi-objective optimization, Renewable Energy, 149, 141–164, https://doi.org/10.1016/j.renene.2019.11.143, 2020.
Jiang, S. and Durlofsky, L. J.: Use of multifidelity training data and transfer learning for efficient construction of subsurface flow surrogate models, J. Comput. Phys., 474, 111800, https://doi.org/10.1016/j.jcp.2022.111800, 2023.
Jiang, S., Zheng, Y., and Solomatine, D.: Improving AI system awareness of geoscience knowledge: Symbiotic integration of physical approaches and deep learning, Geophys. Res. Lett., 47, 733–745, https://doi.org/10.1029/2020GL088229, 2020.
Jin, A., Wang, Q., Zhan, H., and Zhou, R.: Comparative performance assessment of physical-based and data-driven machine-learning models for simulating streamflow: A case study in three catchments across the US, J. Hydrol. Eng., 29, 05024004, https://doi.org/10.1061/JHYEFF.HEENG-6118, 2024.
Jin, A.: Python codes for ”Improving heat transfer predictions in heterogeneous riparian zones using transfer learning techniques”, Zenodo [code], https://doi.org/10.5281/zenodo.17209290, 2025.
Kalbus, E., Reinstorf, F., and Schirmer, M.: Measuring methods for groundwater – surface water interactions: a review, Hydrol. Earth Syst. Sci., 10, 873–887, https://doi.org/10.5194/hess-10-873-2006, 2006.
Kamrava, S., Sahimi, M., and Tahmasebi, P.: Simulating fluid flow in complex porous materials by integrating the governing equations with deep-layered machines, npj Computational Materials, 7, 127, https://doi.org/10.1038/s41524-021-00598-2, 2021.
Karan, S., Engesgaard, P., and Rasmussen, J.: Dynamic streambed fluxes during rainfall–runoff events, Water Resour. Res., 50, 2293–2311, https://doi.org/10.1002/2013WR014155, 2014.
Karpatne, A., Atluri, G., Faghmous, J. H., Steinbach, M., Banerjee, A., Ganguly, A., Shekhar, S., Samatova, N., and Kumar, V.: Theory-guided data science: A new paradigm for scientific discovery from data, IEEE Transactions on Knowledge and Data Engineering, 29, 2318–2331, https://doi.org/10.1109/TKDE.2017.2720168, 2017.
Keery, J., Binley, A., Crook, N., and Smith, J. W. N.: Temporal and spatial variability of groundwater-surface water fluxes: Development and application of an analytical method using temperature time series, J. Hydrol., 336, 1–16, https://doi.org/10.1016/j.jhydrol.2006.12.003, 2007.
Kim, T., Yang, T., Gao, S., Zhang, L., Ding, Z., Wen, X., Gourley, J. J., and Hong, Y.: Can artificial intelligence and data-driven machine learning models match or even replace process-driven hydrologic models for streamflow simulation?: A case study of four watersheds with different hydro-climatic regions across the CONUS, J. Hydrol., 598, 126423, https://doi.org/10.1016/j.jhydrol.2021.126423, 2021.
Raissi, M., Perdikaris, P., and Karniadakis, G. E.: Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations, J. Comput. Phys., 378, 686–707, https://doi.org/10.1016/j.jcp.2018.10.045, 2019.
Raissi, M., Yazdani, A., and Karniadakis, G. E.: Hidden fluid mechanics: Learning velocity and pressure fields from flow visualizations, Science, 367, 1026–1030, https://doi.org/10.1126/science.aaw4741, 2020.
Read, J. S., Jia, X., Willard, J., Appling, A. P., Zwart, J. A., Oliver, S. K., Karpatne, A., Hansen, G. J. A., Hanson, P. C., Watkins, W., Steinbach, M., and Kumar, V.: Process-guided deep learning predictions of lake water temperature, Water Resour. Res., 55, 9173–9190, https://doi.org/10.1029/2019WR024922, 2019.
Ren, J., Wang, X., Shen, Z., Zhao, J., Yang, J., Ye, M., Zhou, Y., and Wang, Z.: Heat tracer test in a riparian zone: Laboratory experiments and numerical modelling, J. Hydrol., 563, 560–575, https://doi.org/10.1016/j.jhydrol.2018.06.030, 2018.
Ren, J., Zhang, W., Yang, J., and Zhou, Y.: Using water temperature series and hydraulic heads to quantify hyporheic exchange in the riparian zone, Hydrogeol. J., 27, 1419–1437, https://doi.org/10.1007/s10040-019-01934-z, 2019.
Ren, J., Zhuang, T., Wang, D., and Dai, J.: Water flow and heat transport in the hyporheic zone of island riparian: A field experiment and numerical simulation, J. Coastal Res., 39, 848–861, https://doi.org/10.2112/JCOASTRES-D-22-00120.1, 2023.
Schmidt, C., Martienssen, M., and Kalbus, E.: Influence of water flux and redox conditions on chlorobenzene concentrations in a contaminated streambed, Hydrol. Process., 25, 234–245, https://doi.org/10.1002/hyp.7839, 2011.
Shi, W., Zhan, H., Wang, Q., and Xie, X.: A two-dimensional closed-form analytical solution for heat transport with nonvertical flow in riparian zones, Water Resour. Res., 59, e2022WR034059, https://doi.org/10.1029/2022WR034059, 2023.
Tartakovsky, A. M., Marrero, C. O., Perdikaris, P., Tartakovsky, G. D., and Barajas-Solano, D.: Physics-informed deep neural networks for learning parameters and constitutive relationships in subsurface flow problems, Water Resour. Res., 56, e2019WR026731, https://doi.org/10.1029/2019WR026731, 2020.
Vandaele, R., Dance, S. L., and Ojha, V.: Deep learning for automated river-level monitoring through river-camera images: an approach based on water segmentation and transfer learning, Hydrol. Earth Syst. Sci., 25, 4435–4453, https://doi.org/10.5194/hess-25-4435-2021, 2021.
Wade, J., Kelleher, C., and Hannah, D. M.: Machine learning unravels controls on river water temperature regime dynamics, J. Hydrol., 623, 129821, https://doi.org/10.1016/j.jhydrol.2023.129821, 2023.
Wang, N., Chang, H., and Zhang, D.: Deep-Learning-Based Inverse Modeling Approaches: A Subsurface Flow Example, Water Resources Research, 126, e2020JB020549, https://doi.org/10.1029/2020JB020549, 2021.
Wang, Y., Wang, W., Ma, Z., Zhao, M., Li, W., Hou, X., Li, J., Ye, F., and Ma, W.: A deep learning approach based on physical constraints for predicting soil moisture in unsaturated zones, Water Resour. Res., 59, e2023WR035194, https://doi.org/10.1029/2023WR035194, 2023.
Willard, J. D., Read, J. S., Appling, A. P., Oliver, S. K., Jia, X., and Kumar, V.: Predicting water temperature dynamics of unmonitored lakes with meta-transfer learning, Water Resour. Res., 57, e2021WR029579, https://doi.org/10.1029/2021WR029579, 2021.
Xie, W., Kimura, M., Takaki, K., Asada, Y., Iida, T., and Jia, X.: Interpretable framework of physics-guided neural network with attention mechanism: Simulating paddy field water temperature variations, Water Resour. Res., 58, e2021WR030493, https://doi.org/10.1029/2021WR030493, 2022.
Xiong, R., Zheng, Y., Chen, N., Tian, Q., Liu, W., Han, F., Jiang, S., Lu, M., and Zheng, Y.: Predicting dynamic riverine nitrogen export in unmonitored watersheds: Leveraging insights of AI from data-rich regions, Environ. Sci. Technol., 56, 10530–10542, https://doi.org/10.1021/acs.est.2c02232, 2022.
Yeung, Y.-H., Barajas-Solano, D. A., and Tartakovsky, A. M.: Physics-informed machine learning method for large-scale data assimilation problems, Water Resour. Res., 58, e2021WR031023, https://doi.org/10.1029/2021WR031023, 2022.
Zhang, J., Liang, X., Zeng, L., Chen, X., Ma, E., Zhou, Y., and Zhang, Y.-K.: Deep transfer learning for groundwater flow in heterogeneous aquifers using a simple analytical model, J. Hydrol., 626, 130293, https://doi.org/10.1016/j.jhydrol.2023.130293, 2023.
Zhao, C., Yang, L., and Hao, S.: Physics-informed learning of governing equations from scarce data, Nat. Commun., 12, 6136, https://doi.org/10.1038/s41467-021-26434-1, 2021.
Zhao, W. L., Gentine, P., Reichstein, M., Zhang, Y., Zhou, S., Wen, Y., Lin, C., Li, X., and Qiu, G. Y.: Physics-Constrained Machine Learning of Evapotranspiration, Geophys. Res. Lett., 46, 14496–14507, https://doi.org/10.1029/2019GL085291, 2019.
Zhou, R. and Zhang, Y.: On the role of the architecture for spring discharge prediction with deep learning approaches, Hydrol. Process., 36, e14737, https://doi.org/10.1002/hyp.14737, 2022.
Zhou, R. and Zhang, Y.: Linear and nonlinear ensemble deep learning models for karst spring discharge forecasting, J. Hydrol., 627, 130394, https://doi.org/10.1016/j.jhydrol.2023.130394, 2023.
Zhou, R., Zhang, Y., Wang, Q., Jin, A., and Shi, W.: A hybrid self-adaptive DWT-WaveNet-LSTM deep learning architecture for karst spring forecasting, J. Hydrol., 634, 131128, https://doi.org/10.1016/j.jhydrol.2024.131128, 2024.
Zuo, G., Luo, J., Wang, N., Lian, Y., and He, X.: Two-stage variational mode decomposition and support vector regression for streamflow forecasting, Hydrol. Earth Syst. Sci., 24, 5491–5518, https://doi.org/10.5194/hess-24-5491-2020, 2020.
Short summary
This study developed a novel physics-informed deep transfer learning (PDTL) approach, which integrates the physical mechanisms from an analytical model using a transfer learning technique. Results indicate that the DTL model maintains satisfactory performance even in heterogeneous conditions, with uncertainties in observations and sparse training data compared to the deep neural network (DNN) model.
This study developed a novel physics-informed deep transfer learning (PDTL) approach, which...