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arXiv 2006.01520physics.comp-ph
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模拟任意地下水速度场上由于质量传递和物理非均匀性引起的非Fickian溶质运移

Modeling non-Fickian solute transport due to mass transfer and physical heterogeneity on arbitrary groundwater velocity fields

Scott K. Hansen, Brian Berkowitz

摘要:

我们提出了一种混合的地下水输运建模方法,“CTRW上的流线”,允许连续时间随机游走(CTRW)粒子跟踪大规模,明确划定的非均质地下水速度场。非Fickian输运模型(在这种情况下,CTRW)与一般非均匀速度场的组合代表了现有技术的进步,其中采用非Fickian输运模型或非均匀速度场,但通常不是两者都采用。我们提出了一个通用的方法,这样做的粒子跟踪,完全分离的模型参数表征宏观流动,次尺度平流异质性,和移动-不移动的质量传递,使每个可以直接指定的先验从现有的数据。该方法是正式的,并连接到经典的CTRW和从属的方法。数值证实。

英文摘要:

We present a hybrid approach to groundwater transport modeling, "CTRW-on-a-streamline", that allows continuous-time random walk (CTRW) particle tracking on large-scale, explicitly-delineated heterogeneous groundwater velocity fields. The combination of a non-Fickian transport model (in this case, the CTRW) with general heterogeneous velocity fields represents an advance of the current state of the art, in which non-Fickian transport models or heterogeneous velocity fields are employed, but generally not both. We present a general method for doing this particle tracking that fully separates the model parameters characterizing macroscopic flow, subscale advective heterogeneity, and mobile-immobile mass transfer, such that each can be directly specified a priori from available data. The method is formalized and connections to classic CTRW and subordination approaches are made. Numerical corroboration is presented.

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