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

机译:地下水中溶质运输和分散方程动态规划解

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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:已经开发了饱和多孔介质中溶质转运和分散的数值模型。 利用有限差分技术离散化用于水流和溶质传输的部分微分方程,使用动态编程方法解决了代数方程的所得系统。 该方法的优点在于,解决该方法的代数系统的问题是,从求解求解差异的代数NC(NL-1)XNC(NL-1)的代数系统转换出问题 NCXNC的顺序方程在NL-1步骤中,涉及NCXNC的NL-1矩阵逆。 通过计算质量平衡并将结果与USGS开发的MOC模型进行比较来显示解决方案的准确性和精度。

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