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A radial Lagrangian streamtube-ensemble modeling approach and its applications to reactive transport experiments in the subsurface.

机译：径向拉格朗日流管集成建模方法及其在地下反应输运实验中的应用。

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The reactive transport process in the heterogeneous subsurface can be effectively modeled by using a Lagrangian approach that handles the heterogeneity by separating micromixing from macromixing and accommodates multicomponent and/or nonlinear reactions among mobile and immobile species within the effective “streamtubes.” This method establishes an effective ensemble of streamtubes governing transport in a Cartesian setting, with negligible tracer injection flux. However, subsurface injections often involve a relatively large flux, therefore the flow field near the injection well has a strongly radial component. The effect of this initial, primarily radial, spreading renders the solute flux boundary condition variant over streamtubes making up the downstream Lagrangian ensemble, i.e., centrally-located streamtubes would have a larger boundary condition than laterally-located streamtubes. To model this radial-Cartesian flow and transport process, a dual (two-stage) streamtube ensemble approach is created in this study. The primarily radial flow is first treated with its own streamtube ensemble defined in the streamline coordinates combining radial and Cartesian flow (corresponding to flux due to the injection and the local induced longitudinal hydraulic gradient). The bacterial velocity-dependent attachment kinetics is approximated using colloid filtration theory. The travel time distribution function [TTDF] for this ensemble is determined by numerically simulating transport in the streamline coordinates for an effectively homogeneous media, and by collecting all downstream injectate fluxes at a “transition surface.” Solute flux arriving at the transition surface is then used as a boundary condition for the second stage, consisting of a conventional ensemble of streamtubes that convey solute downstream from the transition surface. The TTDF of the second stage may be obtained through the deconvolution of a breakthrough curve of an inert tracer. Of particular concern is how to “handoff” the solute flux from the radial-Cartesian ensemble to the conventional downstream ensemble, at the transition surface. Two limit cases are studied, and they are complete mixing and no mixing. The dual streamtube ensemble approach is employed to analyze the bromide and bacterial tracer breakthrough curves from the subsurface bacterial transport experiment conducted in October 1999 at a site near Oyster, Virginia.
机译：可以通过使用拉格朗日方法对异质地下的反应性传输过程进行有效建模，该方法通过将微观混合与宏观混合分开来处理异质性，并在有效的“流管”中容纳移动和不移动物质之间的多组分和/或非线性反应。这种方法建立了有效的流管集合，在笛卡尔环境中控制着输运，示踪剂注入通量可忽略不计。然而，地下注入通常涉及相对较大的通量，因此注入井附近的流场具有强烈的径向分量。该初始的，主要是径向的扩展的影响使得组成下游拉格朗日系综的流管上的溶质通量边界条件变型，即，位于中心的流管将比位于横向的流管具有更大的边界条件。为了模拟这种径向笛卡尔流和输运过程，本研究创建了一个双（两阶段）流管集成方法。首先使用在流线坐标中定义的自己的流管集合处理主要的径向流，该流管集合将径向流和笛卡尔流（对应于由于注入引起的流量和局部引起的纵向水力梯度）组合在一起。使用胶体过滤理论来近似细菌速度依赖性的附着动力学。该集合的传播时间分布函数[TTDF]是通过对有效均质介质的流线坐标中的传输进行数值模拟并在“过渡表面”收集所有下游注入通量来确定的。然后，将到达过渡表面的溶质通量用作第二阶段的边界条件，第二阶段由将流态溶质输送到过渡表面下游的传统流管组成。第二阶段的TTDF可以通过对惰性示踪剂的穿透曲线进行反卷积来获得。特别令人关注的是如何在过渡表面将溶质通量从径向笛卡尔系集合“传递”到常规下游系集合。研究了两个极限情况，它们是完全混合而没有混合。双流管集成方法用于分析1999年10月在弗吉尼亚州Oyster附近的地下细菌运输实验中的溴化物和细菌示踪剂穿透曲线。

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