Bedekar Vivek, Scantlebury Leland, Panday Sorab
Department of Civil Engineering, Auburn University, Auburn, AL 36849.
S.S. Papadopulos and Associates, Inc, 7944 Wisconsin Ave., Bethesda, MD 20814.
Ground Water. 2019 Sep;57(5):772-777. doi: 10.1111/gwat.12861. Epub 2019 Feb 25.
Axisymmetric groundwater models are used for simulating radially symmetric conditions. Groundwater simulators built specifically to model axisymmetric conditions are most commonly used for simulating aquifer tests. Although some numerical models capable of simulating flow and solute transport that are developed in the cartesian coordinate system framework offer flexibility to simulate axisymmetric conditions, most of the numerical groundwater models, such as the MODFLOW family of codes, are based on structured grids in which axisymmetric flows cannot be directly simulated. Researchers in the past have provided methods to manipulate aquifer properties to mimic axisymmetric conditions. This study presents a methodology that takes advantage of the unstructured grids of MODFLOW-USG to simulate axisymmetric models within the MODFLOW framework. To develop axisymmetric models, the intercell interface area arrays of MODFLOW-USG were calculated to accurately represent coaxial cylindrical model cells. Three examples are presented to demonstrate the application of MODFLOW-USG for axisymmetric modeling: a pumping well with delayed yield effects, a vadose zone flow model simulating an infiltration basin, and a density-dependent saltwater intrusion problem for a circular island. Results were verified against analytical solutions and published numerical codes.
轴对称地下水模型用于模拟径向对称条件。专门为模拟轴对称条件而构建的地下水模拟器最常用于模拟含水层试验。尽管一些在笛卡尔坐标系框架下开发的能够模拟水流和溶质运移的数值模型为模拟轴对称条件提供了灵活性,但大多数数值地下水模型,如MODFLOW系列代码,基于结构化网格,其中轴对称水流无法直接模拟。过去的研究人员提供了操纵含水层属性以模拟轴对称条件的方法。本研究提出了一种利用MODFLOW-USG的非结构化网格在MODFLOW框架内模拟轴对称模型的方法。为了开发轴对称模型,计算了MODFLOW-USG的单元间界面面积阵列,以准确表示同轴圆柱模型单元。给出了三个例子来演示MODFLOW-USG在轴对称建模中的应用:一个具有延迟产水效应的抽水井、一个模拟渗透盆地的包气带水流模型以及一个圆形岛屿的密度依赖型咸水入侵问题。结果与解析解和已发表的数值代码进行了验证。