Review of numerical solution of Richardson–Richards equation for variably saturated flow in soils

Y Zha, J Yang, J Zeng, CHM Tso… - Wiley Interdisciplinary …, 2019 - Wiley Online Library
Modeling variably saturated flow in the vadose zone is of vital importance to many scientific
fields and engineering applications. Richardson–Richards equation (RRE, which is …

Quantify the effects of groundwater level recovery on groundwater nitrate dynamics through a quasi-3D integrated model for the vadose zone-groundwater coupled …

Y Zang, X Hou, Z Li, P Li, Y Sun, B Yu, M Li - Water Research, 2022 - Elsevier
Groundwater level (GWL) recovery in some semiarid regions, attributed to mitigation
countermeasures for groundwater depletion, potentially causes nitrate accumulated in the …

Comparison of the use of a physical-based model with data assimilation and machine learning methods for simulating soil water dynamics

P Li, Y Zha, L Shi, CHM Tso, Y Zhang, W Zeng - Journal of Hydrology, 2020 - Elsevier
Soil moisture plays a critical role as an essential component of the global water resources by
regulating mass and energy exchange between land surface and atmosphere …

A modified Picard iteration scheme for overcoming numerical difficulties of simulating infiltration into dry soil

Y Zha, J Yang, L Yin, Y Zhang, W Zeng, L Shi - Journal of hydrology, 2017 - Elsevier
Numerical models based on Richards' equation are often employed to simulate the soil
water dynamics. Among them, those Picard iteration models which use the head as primary …

A Richards' equation-based model for wave-resolving simulation of variably-saturated beach groundwater flow dynamics

JB Clément, D Sous, F Bouchette, F Golay, M Ersoy - Journal of Hydrology, 2023 - Elsevier
This study introduces a model based on Richards' equation to describe variably-saturated
beach groundwater flow. The surface wave propagation is computed by the phase-resolving …

A dynamic data-driven method for dealing with model structural error in soil moisture data assimilation

Q Zhang, L Shi, M Holzman, M Ye, Y Wang… - Advances in Water …, 2019 - Elsevier
Attributing to the flexibility in considering various types of observation error and model error,
data assimilation has been increasingly applied to dynamically improve soil moisture …

Implicit and semi-implicit second-order time step** methods for the Richards equation

S Keita, A Beljadid, Y Bourgault - Advances in Water Resources, 2021 - Elsevier
This study concerns numerical methods for efficiently solving the Richards equation where
different weak formulations and computational techniques are analyzed. The spatial …

Data‐driven discovery of soil moisture flow governing equation: A sparse regression framework

W Song, L Shi, L Wang, Y Wang… - Water Resources …, 2022 - Wiley Online Library
Conventionally, soil moisture dynamics are mathematically modeled by the Richardson‐
Richards equation, whose derivation is based on the conservation of mass and the …

Switching the Richards' equation for modeling soil water movement under unfavorable conditions

J Zeng, Y Zha, J Yang - Journal of hydrology, 2018 - Elsevier
Simulation of variably saturated soil water flow requires the use of pressure head, or soil
moisture, or a switching between the two, as the primary variable for solving Richards' …

Impacts of different types of measurements on estimating unsaturated flow parameters

L Shi, X Song, J Tong, Y Zhu, Q Zhang - Journal of Hydrology, 2015 - Elsevier
This paper assesses the value of different types of measurements for estimating soil
hydraulic parameters. A numerical method based on ensemble Kalman filter (EnKF) is …