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Updated: May 10, 2026

Spatial Temporal Analysis of Fieldwise Flow in Microvasculature
Published on: November 18, 2019
Spatial periodic boundary condition for MODFLOW
Tariq Laattoe1, Vincent E A Post, Adrian D Werner
1School of the Environment, National Centre for Groundwater Research and Training, Flinders University, GPO Box 2100, Adelaide SA, 5001, Australia.
Abstract:
Small-scale hyporheic zone (HZ) models often use a spatial periodic boundary (SPB) pair to simulate an infinite repetition of bedforms. SPB's are common features of commercially available multiphysics modeling packages. MODFLOW's lack of this boundary type has precluded it from being effectively utilized in this area of HZ research. We present a method to implement the SPB in MODFLOW by development of the appropriate block-centered finite-difference expressions. The implementation is analogous to MODFLOW's general head boundary package. The difference is that the terms on the right hand side of the solution equations must be updated with each iteration. Consequently, models that implement the SPB converge best with solvers that perform both inner and outer iterations. The correct functioning of the SPB condition in MODFLOW is verified by two examples. This boundary condition allows users to build HZ-bedform models in MODFLOW, facilitating further research using related codes such as MT3DMS and PHT3D.
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