Articles | Volume 26, issue 16
https://doi.org/10.5194/hess-26-4469-2022
© Author(s) 2022. 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-26-4469-2022
© Author(s) 2022. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Forward and inverse modeling of water flow in unsaturated soils with discontinuous hydraulic conductivities using physics-informed neural networks with domain decomposition
Life and Environmental Science Department, University of California, Merced, CA, USA
Teamrat A. Ghezzehei
Life and Environmental Science Department, University of California, Merced, CA, USA
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32 citations as recorded by crossref.
- Physics informed neural networks for learning the horizon size in bond-based peridynamic models F. Difonzo et al. 10.1016/j.cma.2024.117727
- Inverse analysis for estimating geotechnical parameters using physics-informed neural networks S. Ito et al. 10.1016/j.sandf.2024.101533
- Soil Science-Informed Machine Learning B. Minasny et al. 10.1016/j.geoderma.2024.117094
- Physics-informed neural networks for modeling two-phase steady state flow with capillary heterogeneity at varying flow conditions A. Chakraborty et al. 10.1016/j.advwatres.2024.104639
- Interface PINNs (I-PINNs): A physics-informed neural networks framework for interface problems A. Sarma et al. 10.1016/j.cma.2024.117135
- Modeling Water Flow and Solute Transport in Unsaturated Soils Using Physics‐Informed Neural Networks Trained With Geoelectrical Data P. Haruzi & Z. Moreno 10.1029/2023WR034538
- Simultaneous Estimation of Soil Hydraulic and Thermal Properties Based on Multiobjective Optimization Algorithms J. Zhang & N. Li 10.3390/app15010337
- Bayesian back analysis of unsaturated hydraulic parameters for rainfall-induced slope failure: A review H. Yang & L. Zhang 10.1016/j.earscirev.2024.104714
- A multifactorial study of mass movement in the hilly and gully Loess Plateau based on intensive field surveys and remote sensing techniques L. Yan et al. 10.1016/j.scitotenv.2024.171628
- A mixed pressure-velocity formulation to model flow in heterogeneous porous media with physics-informed neural networks F. Lehmann et al. 10.1016/j.advwatres.2023.104564
- A generalized physics-driven neural network for micromechanical and microstructural evolution of heterogeneous materials Z. Xiong & P. Zhao 10.1016/j.euromechsol.2024.105551
- Time series predictions in unmonitored sites: a survey of machine learning techniques in water resources J. Willard et al. 10.1017/eds.2024.14
- Groundwater inverse modeling: Physics-informed neural network with disentangled constraints and errors Y. Ji et al. 10.1016/j.jhydrol.2024.131703
- Physics informed neural networks for an inverse problem in peridynamic models F. Difonzo et al. 10.1007/s00366-024-01957-5
- Application of physics-informed neural networks (PINNs) solution to coupled thermal and hydraulic processes in silty sands Y. Feng et al. 10.1186/s40703-025-00232-w
- Causal prior-embedded physics-informed neural networks and a case study on metformin transport in porous media Q. Kang et al. 10.1016/j.watres.2024.121985
- A transfer learning physics-informed deep learning framework for modeling multiple solute dynamics in unsaturated soils H. Kamil et al. 10.1016/j.cma.2024.117276
- A comprehensive review of advances in physics-informed neural networks and their applications in complex fluid dynamics C. Zhao et al. 10.1063/5.0226562
- Some Remarks About Forward and Inverse Modelling in Hydrology, Within a General Conceptual Framework M. Giudici 10.3390/hydrology11110189
- PINN enhanced extended multiscale finite element method for fast mechanical analysis of heterogeneous materials Z. Wu et al. 10.1007/s00707-024-03984-1
- Modeling fluid flow in heterogeneous porous media with physics-informed neural networks: Weighting strategies for the mixed pressure head-velocity formulation A. Alhubail et al. 10.1016/j.advwatres.2024.104797
- Reconstructing the Unsaturated Flow Equation From Sparse and Noisy Data: Leveraging the Synergy of Group Sparsity and Physics‐Informed Deep Learning W. Song et al. 10.1029/2022WR034122
- Numerical modeling of one-dimensional variably saturated flow in a homogeneous and layered soil–water system via mixed form Richards equation with Picard iterative scheme S. Shah et al. 10.1007/s40808-022-01588-z
- A novel approach to estimate sand particle-size using convolutional neural network with acoustic sensing Y. Sung et al. 10.1016/j.catena.2023.107639
- High-Resolution Estimation of Soil Saturated Hydraulic Conductivity via Upscaling and Karhunen–Loève Expansion within DREAM(ZS) Y. Xia & N. Li 10.3390/app14114521
- Solving fluid flow in discontinuous heterogeneous porous media and multi-layer strata with interpretable physics-encoded finite element network X. Wang et al. 10.1016/j.jrmge.2024.10.025
- Ensemble learning of soil–water characteristic curve for unsaturated seepage using physics-informed neural networks H. Yang et al. 10.1016/j.sandf.2024.101556
- Adaptive Interface-PINNs (AdaI-PINNs) for transient diffusion: Applications to forward and inverse problems in heterogeneous media S. Roy et al. 10.1016/j.finel.2024.104305
- Hybrid data-mechanism-driven model of the unsteady soil temperature field for long-buried crude oil pipelines with non-isothermal batch transportation W. Jiang et al. 10.1016/j.energy.2024.130354
- Inverse Physics-Informed Neural Networks for transport models in porous materials M. Berardi et al. 10.1016/j.cma.2024.117628
- Application of improved physics-informed neural networks for nonlinear consolidation problems with continuous drainage boundary conditions P. Lan et al. 10.1007/s11440-023-01899-0
- Forward and inverse modeling of water flow in unsaturated soils with discontinuous hydraulic conductivities using physics-informed neural networks with domain decomposition T. Bandai & T. Ghezzehei 10.5194/hess-26-4469-2022
30 citations as recorded by crossref.
- Physics informed neural networks for learning the horizon size in bond-based peridynamic models F. Difonzo et al. 10.1016/j.cma.2024.117727
- Inverse analysis for estimating geotechnical parameters using physics-informed neural networks S. Ito et al. 10.1016/j.sandf.2024.101533
- Soil Science-Informed Machine Learning B. Minasny et al. 10.1016/j.geoderma.2024.117094
- Physics-informed neural networks for modeling two-phase steady state flow with capillary heterogeneity at varying flow conditions A. Chakraborty et al. 10.1016/j.advwatres.2024.104639
- Interface PINNs (I-PINNs): A physics-informed neural networks framework for interface problems A. Sarma et al. 10.1016/j.cma.2024.117135
- Modeling Water Flow and Solute Transport in Unsaturated Soils Using Physics‐Informed Neural Networks Trained With Geoelectrical Data P. Haruzi & Z. Moreno 10.1029/2023WR034538
- Simultaneous Estimation of Soil Hydraulic and Thermal Properties Based on Multiobjective Optimization Algorithms J. Zhang & N. Li 10.3390/app15010337
- Bayesian back analysis of unsaturated hydraulic parameters for rainfall-induced slope failure: A review H. Yang & L. Zhang 10.1016/j.earscirev.2024.104714
- A multifactorial study of mass movement in the hilly and gully Loess Plateau based on intensive field surveys and remote sensing techniques L. Yan et al. 10.1016/j.scitotenv.2024.171628
- A mixed pressure-velocity formulation to model flow in heterogeneous porous media with physics-informed neural networks F. Lehmann et al. 10.1016/j.advwatres.2023.104564
- A generalized physics-driven neural network for micromechanical and microstructural evolution of heterogeneous materials Z. Xiong & P. Zhao 10.1016/j.euromechsol.2024.105551
- Time series predictions in unmonitored sites: a survey of machine learning techniques in water resources J. Willard et al. 10.1017/eds.2024.14
- Groundwater inverse modeling: Physics-informed neural network with disentangled constraints and errors Y. Ji et al. 10.1016/j.jhydrol.2024.131703
- Physics informed neural networks for an inverse problem in peridynamic models F. Difonzo et al. 10.1007/s00366-024-01957-5
- Application of physics-informed neural networks (PINNs) solution to coupled thermal and hydraulic processes in silty sands Y. Feng et al. 10.1186/s40703-025-00232-w
- Causal prior-embedded physics-informed neural networks and a case study on metformin transport in porous media Q. Kang et al. 10.1016/j.watres.2024.121985
- A transfer learning physics-informed deep learning framework for modeling multiple solute dynamics in unsaturated soils H. Kamil et al. 10.1016/j.cma.2024.117276
- A comprehensive review of advances in physics-informed neural networks and their applications in complex fluid dynamics C. Zhao et al. 10.1063/5.0226562
- Some Remarks About Forward and Inverse Modelling in Hydrology, Within a General Conceptual Framework M. Giudici 10.3390/hydrology11110189
- PINN enhanced extended multiscale finite element method for fast mechanical analysis of heterogeneous materials Z. Wu et al. 10.1007/s00707-024-03984-1
- Modeling fluid flow in heterogeneous porous media with physics-informed neural networks: Weighting strategies for the mixed pressure head-velocity formulation A. Alhubail et al. 10.1016/j.advwatres.2024.104797
- Reconstructing the Unsaturated Flow Equation From Sparse and Noisy Data: Leveraging the Synergy of Group Sparsity and Physics‐Informed Deep Learning W. Song et al. 10.1029/2022WR034122
- Numerical modeling of one-dimensional variably saturated flow in a homogeneous and layered soil–water system via mixed form Richards equation with Picard iterative scheme S. Shah et al. 10.1007/s40808-022-01588-z
- A novel approach to estimate sand particle-size using convolutional neural network with acoustic sensing Y. Sung et al. 10.1016/j.catena.2023.107639
- High-Resolution Estimation of Soil Saturated Hydraulic Conductivity via Upscaling and Karhunen–Loève Expansion within DREAM(ZS) Y. Xia & N. Li 10.3390/app14114521
- Solving fluid flow in discontinuous heterogeneous porous media and multi-layer strata with interpretable physics-encoded finite element network X. Wang et al. 10.1016/j.jrmge.2024.10.025
- Ensemble learning of soil–water characteristic curve for unsaturated seepage using physics-informed neural networks H. Yang et al. 10.1016/j.sandf.2024.101556
- Adaptive Interface-PINNs (AdaI-PINNs) for transient diffusion: Applications to forward and inverse problems in heterogeneous media S. Roy et al. 10.1016/j.finel.2024.104305
- Hybrid data-mechanism-driven model of the unsteady soil temperature field for long-buried crude oil pipelines with non-isothermal batch transportation W. Jiang et al. 10.1016/j.energy.2024.130354
- Inverse Physics-Informed Neural Networks for transport models in porous materials M. Berardi et al. 10.1016/j.cma.2024.117628
2 citations as recorded by crossref.
- Application of improved physics-informed neural networks for nonlinear consolidation problems with continuous drainage boundary conditions P. Lan et al. 10.1007/s11440-023-01899-0
- Forward and inverse modeling of water flow in unsaturated soils with discontinuous hydraulic conductivities using physics-informed neural networks with domain decomposition T. Bandai & T. Ghezzehei 10.5194/hess-26-4469-2022
Latest update: 30 Jan 2025
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.
Scientists use a physics-based equation to simulate water dynamics that influence hydrological...