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Related Experiment Video

Updated: Jul 2, 2026

Finite Element Modelling of a Cellular Electric Microenvironment

Finite Element Modelling of a Cellular Electric Microenvironment

Published on: May 18, 2021

Robust representation of dry cells in single-layer MODFLOW models.

Scott Painter¹, Hakan Başağaoğlu, Angang Liu

¹Southwest Research Institute, 6220 Culebra Road, San Antonio, TX 78238-5166, USA. spainter@swri.org

|August 22, 2008

Summary

New MODFLOW methods prevent simulation errors from dry cells. Modified differencing and Newton-Raphson iteration ensure model stability and accurate groundwater flow results, even with extensive dewatering.

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Area of Science:

Hydrogeology
Numerical Modeling
Geoscience

Background:

Dewatered grid cells in MODFLOW can cause simulation artifacts and convergence failures.
These issues hinder accurate groundwater flow modeling and parameter estimation.
Existing methods struggle with models featuring numerous dry cells.

Purpose of the Study:

To develop robust methods for handling dewatered cells in MODFLOW simulations.
To improve the stability and accuracy of groundwater models with dry cells.
To ensure all active cells remain active throughout simulations.

Main Methods:

Modified the spatial differencing scheme to use upstream cell water levels for calculating intercell conductance.
Implemented an explicit constraint for cell water levels to remain at or above cell bottom elevation.
Replaced the Picard iteration method with the Newton-Raphson method for resolving nonlinearities.

Main Results:

The modified MODFLOW variant successfully avoided nonphysical artifacts and convergence failures associated with dry cells.
The new method demonstrated robustness, converging in scenarios where conventional MODFLOW failed.
Simulations using the new method produced results nearly identical to conventional MODFLOW when it converged.

Conclusions:

The enhanced MODFLOW methods effectively address challenges posed by dewatered grid cells.
The Newton-Raphson iteration and modified differencing scheme significantly improve model reliability.
This approach is crucial for accurate groundwater flow modeling in complex hydrogeological settings, as demonstrated by the Edwards Aquifer application.