MacMillan Gordon J, Schumacher Jens
Matrix Solutions Inc., Suite 200, 150-13 Avenue SW, Calgary, Alberta, Canada T2R 0V2.
Ground Water. 2015 Jul-Aug;53(4):651-7. doi: 10.1111/gwat.12254. Epub 2014 Aug 20.
Many hydrogeology problems require predictions of hydraulic heads in a supply well. In most cases, the regional hydraulic response to groundwater withdrawal is best approximated using a numerical model; however, simulated hydraulic heads at supply wells are subject to errors associated with model discretization and well loss. An approach for correcting the simulated head at a pumping node is described here. The approach corrects for errors associated with model discretization and can incorporate the user's knowledge of well loss. The approach is model independent, can be applied to finite difference or finite element models, and allows the numerical model to remain somewhat coarsely discretized and therefore numerically efficient. Because the correction is implemented external to the numerical model, one important benefit of this approach is that a response matrix, reduced model approach can be supported even when nonlinear well loss is considered.
许多水文地质问题需要预测供水井中的水头。在大多数情况下，利用数值模型能最好地近似区域对地下水抽取的水力响应；然而，供水井处模拟的水头会受到与模型离散化和井损相关的误差影响。本文描述了一种校正抽水节点处模拟水头的方法。该方法可校正与模型离散化相关的误差，并能纳入用户对井损的了解。此方法与模型无关，可应用于有限差分或有限元模型，且能使数值模型保持相对粗略的离散化，从而提高数值计算效率。由于校正是在数值模型外部实施的，该方法的一个重要优点是，即使考虑非线性井损，也能支持响应矩阵简化模型方法。
