Articles | Volume 26, issue 16
https://doi.org/10.5194/hess-26-4469-2022
https://doi.org/10.5194/hess-26-4469-2022
Research article
 | 
30 Aug 2022
Research article |  | 30 Aug 2022

Forward and inverse modeling of water flow in unsaturated soils with discontinuous hydraulic conductivities using physics-informed neural networks with domain decomposition

Toshiyuki Bandai and Teamrat A. Ghezzehei

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Cited articles

Abadi, M., Agarwal, A., Barham, P., Brevdo, E., Chen, Z., Citro, C., Corrado, G. S., Davis, A., J., D., Devin, M., Ghemawat, S., I., G., Harp, A., Irving, G., Isard, M., Jozefowicz, R., Jia, Y., Kaiser, L., Kudlur, M., Levenberg, J., Mané, D., Schuster, M., Monga, R., Moore, S., Murray, D., Olah, C., Shlens, J., Steiner, B., Sutskever, I., Talwar, K., Tucker, P., Vanhoucke, V., Vasudevan, V., Viégas, F., Vinyals, O., Warden, P., Wattenberg, M., Wicke, M., Yu, Y., and Zheng, X.: TensorFlow: Large-scale machine learning on heterogeneous distributed systems, https://www.tensorflow.org/ (last access: 28 August 2022), 2015. a, b, c
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Babaeian, E., Sadeghi, M., Jones, S. B., Montzka, C., Vereecken, H., and Tuller, M.: Ground, proximal, and satellite remote sensing of soil moisture, Rev. Geophys., 57, 530–616, https://doi.org/10.1029/2018RG000618, 2019. a, b
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. a, b, c
Bandai, T. and Ghezzehei, T. A.: Author comment on “Forward and inverse modeling of water flow in unsaturated soils with discontinuous hydraulic conductivities using physics-informed neural networks with domain decomposition” by Toshiyuki Bandai and Teamrat A. Ghezzehei, https://doi.org/10.5194/hess-2022-73-AC2, 2022a. a
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Short summary
Scientists use a physics-based equation to simulate water dynamics that influence hydrological and ecological phenomena. We present hybrid physics-informed neural networks (PINNs) to leverage the growing availability of soil moisture data and advances in machine learning. We showed that PINNs perform comparably to traditional methods and enable the estimation of rainfall rates from soil moisture. However, PINNs are challenging to train and significantly slower than traditional methods.