A Physics-Informed Neural Network Approach to the Richards Equation and Soil-Process Investigation

This paper presents a physics-informed neural network (PINN) approach for solving the Richards equation, which governs transient moisture transport in variably saturated soils.The model is trained on synthetic datasets generated using the porousMultiphaseFoam library based on OpenFOAM.The study investigates the ability of PINNs to accurately reproduce one-and two-dimensional infiltration dynamics and predict moisture content profiles over time.

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Published
2025-09-21
DOI
https://doi.org/10.51408/csit2025_65
Primary Topic
Geophysical and Geoelectrical Methods
Type
article
Field-Weighted Citation Impact
0.00

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article

A Physics-Informed Neural Network Approach to the Richards Equation and Soil-Process Investigation

Ivan Maltsev, Anna Varlamova, Sergei Strijhak, Andrei Kulinskii
Geophysical and Geoelectrical Methods
article

A Physics-Informed Neural Network Approach to the Richards Equation and Soil-Process Investigation

Ivan Maltsev, Anna Varlamova, Sergei Strijhak, Andrei Kulinskii
article en

Abstract

This paper presents a physics-informed neural network (PINN) approach for solving the Richards equation, which governs transient moisture transport in variably saturated soils.The model is trained on synthetic datasets generated using the porousMultiphaseFoam library based on OpenFOAM.The study investigates the ability of PINNs to accurately reproduce one-and two-dimensional infiltration dynamics and predict moisture content profiles over time.

Institute of Social and Economic Studies of Population (RU)
Ministry of Science and Higher Education of the Russian Federation
Openalex Percentile: Top 73%
Geophysical and Geoelectrical Methods
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