分离多孔介质的双连续介质输运模型：推导和灵敏度分析驱动的标定
A double-continuum transport model for segregated porous media: derivation and sensitivity analysis-driven calibration
摘要：
提出并推导了一个基于孔隙尺度特征的双连续介质输运模型。我们的方法依赖于建立一个简化的单元格组成的固定和移动连续。我们采用数值解析的孔隙尺度速度分布来表征每个连续体的体积，并定义移动连续体中的速度分布。使用简化的单胞，我们推导出一个封闭的形式模型，其中包括两个有效的参数，需要估计：一个特征长度尺度和等待时间RD的比例，集总的停滞区和逃逸过程的影响。为了校准和验证我们的模型，我们依赖于一组孔隙尺度的数值模拟进行的二维无序隔离周期性多孔介质考虑不同的初始溶质分布。使用全局灵敏度分析，我们探索的两个有效的参数对溶质浓度分布的影响，从而定义一个灵敏度分析驱动的标准模型校准。后者相比，一个经典的校准方法。研究结果表明，在不同的初始条件下，流动连续体和非流动连续体之间的质量交换过程对溶质剖面形状有显著的影响。通过引入参数RD，我们得到一个灵活的传输模型能够解释对称和高度偏斜的溶质浓度分布。我们表明，这两个参数的校准的有效性密切依赖于校准数据集的信息内容和所选择的目标函数，其定义可以支持的模型灵敏度分析的实施。通过依赖于灵敏度分析驱动的校准，我们能够提供一个很好的解释的浓度分布演变独立于给定的初始条件依赖于一组独特的有效参数值。
英文摘要：
We present and derive a novel double-continuum transport model based on pore-scale characteristics. Our approach relies on building a simplified unit cell made up of immobile and mobile continua. We employ a numerically resolved pore-scale velocity distribution to characterize the volume of each continuum and to define the velocity profile in the mobile continuum. Using the simplified unit cell, we derive a closed form model, which includes two effective parameters that need to be estimated: a characteristic length scale and a ratio of waiting times RD that lumps the effect of stagnant regions and escape process. To calibrate and validate our model, we rely on a set of pore-scale numerical simulation performed on a 2D disordered segregated periodic porous medium considering different initial solute distributions. Using a Global Sensitivity Analysis, we explore the impact of the two effective parameters on solute concentration profiles and thereby define a sensitivity analysis driven criterion for model calibration. The latter is compared to a classical calibration approach. Our results show that, depending on the initial condition, the mass exchange process between mobile and immobile continua impact on solute profile shape significantly. By introducing parameter RD we obtain a flexible transport model capable of interpreting both symmetric and highly skewed solute concentration profiles. We show that the effectiveness of the calibration of the two parameters closely depends on the content of information of calibration dataset and the selected objective function whose definition can be supported by of the implementation of model sensitivity analysis. By relying on a sensitivity analysis driven calibration, we are able to provide a good interpretation of the concentration profile evolution independent of the given initial condition relying on a unique set of effective parameter values.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
