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A dynamic programming solution of solute transport and dispersion equations in groundwater

机译:地下水中溶质运移和扩散方程的动态规划解

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A numerical model for the solute transport and dispersion in saturated porous media has been developed. The partial differential equations for water flow and solute transport are discretized using the finite difference technique and the resulting system of algebraic equations is solved using a dynamic programming method. The advantage of this method is that the problem is converted from solving an algebraic system of this method is that the problem is converted from solving an algebraic system of order NC(NL-1)XNC(NL-1) into that of solving a difference equation of order NCXNC over NL-1 steps and involving NL-1 matrix inversions of order NCxNC. The accuracy and precision of the solutions are shown by calculation of mass balance and comparing the results with MOC model developed by USGS.
机译:建立了饱和多孔介质中溶质运移和分散的数值模型。使用有限差分技术离散化水和溶质运移的偏微分方程,并使用动态规划方法求解所得的代数方程组。此方法的优点是将问题从求解该代数系统转换为该问题,将问题从求解NC(NL-1)XNC(NL-1)阶的代数系统转换为求解差分的系统。 NL-1阶上的NCXNC阶方程,涉及NCxNC阶的NL-1矩阵求逆。通过计算质量平衡并将结果与​​USGS开发的MOC模型进行比较,可以显示解决方案的准确性和精度。

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