Depth‐averaging errors in reactive transport modeling
Depth‐averaging errors in reactive transport modeling
复制标题
反应传输模型中的深度平均误差
DOI：
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
Matthew J. Simpson
中科院分区：
文献类型：
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作者：
Matthew J. Simpson
深度平均反应输运模型通常用于表示地下水含水层中的现场尺度污染。这些模型依赖于通过定义深度平均变量和垂直积分完整的反应输运方程来简化控制方程。这种方法是精确的，只要控制方程是线性的;然而，垂直平均的非线性守恒方程可以引入一个错误的简化模型。我们提出了一个框架来分析这种错误，以便在实施模型之前可以定量评估深度平均反应传输模型的适用性。该框架显示了深度平均反应输运方程引入的误差如何受动力学模型中的参数和反应输运问题的几何形状的影响。
Depth‐averaged reactive transport models are commonly used to represent field‐scale contamination in groundwater aquifers. These models rely on simplifying the governing equations through defining a depth‐averaged variable and vertically integrating the full reactive transport equation. This approach is exact provided that the governing equation is linear; however, vertically averaging a nonlinear conservation equation can introduce an error into the simplified model. We present a framework for analyzing this error so that the suitability of a depth‐averaged reactive transport model can be assessed quantitatively before the model is implemented. This framework shows how the error introduced by depth‐averaging reactive transport equations is governed by the parameters in the kinetic model and the geometry of the reactive transport problem.