Accurate Simulation of Flow through Dipping Aquifers with MODFLOW 6 Using Enhanced Cell Connectivity.

Ground water Pub Date : 2025-01-16 DOI:10.1111/gwat.13459
Alden M Provost, Kerry Bardot, Christian D Langevin, James L McCallum
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Abstract

In simulations of groundwater flow through dipping aquifers, layers of model cells are often "deformed" to follow the top and bottom elevations of the aquifers. When this approach is used in MODFLOW, adjacent cells within the same model layer are vertically offset from one another, and the standard conductance-based (two-point) formulation for flow between cells does not rigorously account for these offsets. The XT3D multi-point flow formulation in MODFLOW 6 is designed to account for geometric irregularities in the grid, including vertical offsets, and to provide accurate results for both isotropic and anisotropic groundwater flow. A recent study evaluated the performance of the standard formulation and XT3D using a simple, synthetic benchmark model of a steeply dipping aquifer. Although XT3D generally improved the accuracy of flow simulations relative to the standard formulation as expected, neither formulation produced accurate flows in cases that involved large vertical offsets. In this paper, we explain that the inability of XT3D to produce accurate flows in the steeply dipping aquifer benchmark was not due to an inherent limitation of the flow formulation, but rather to the limited cell connectivity inherent in the most commonly used discretization packages in MODFLOW 6. Furthermore, we demonstrate that XT3D is able to produce the expected accuracy when adequate cell connectivity is introduced using MODFLOW's unstructured grid type and the aquifer is discretized vertically using at least two model layers.

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利用增强单元连通性,MODFLOW 6精确模拟倾斜含水层的流动
在模拟地下水通过浸入式含水层的过程中,模型单元的层通常会随着含水层的顶部和底部高度而“变形”。当在MODFLOW中使用这种方法时,同一模型层内的相邻单元彼此垂直偏移,并且单元之间流动的标准基于电导(两点)公式并没有严格考虑这些偏移。MODFLOW 6中的XT3D多点流动公式旨在考虑网格中的几何不规则性,包括垂直偏移量,并为各向同性和各向异性地下水流动提供准确的结果。最近的一项研究评估了标准配方和XT3D的性能,使用了一个简单的、合成的陡倾斜含水层基准模型。尽管与标准配方相比,XT3D总体上提高了流动模拟的精度,但在涉及大垂直偏移的情况下,两种配方都无法产生准确的流动。在本文中,我们解释了XT3D无法在大倾角含水层基准中产生准确的流动,这不是由于流动公式的固有限制,而是由于MODFLOW 6中最常用的离散化软件包固有的单元连通性有限。此外,我们证明,当使用MODFLOW的非结构化网格类型引入足够的单元连通性,并使用至少两个模型层垂直离散含水层时,XT3D能够产生预期的精度。
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