This study presents a conceptual Dual‐Permeability Non‐Equilibrium (DPNE) model that accounts for both physical and chemical non‐equilibria to describe the reactive solute transport through a porous medium. A semi‐analytical solution of the DPNE model is derived in the Laplace domain, which is then numerically inverted to obtain concentrations in different domains at different times and depths. The derived semi‐analytical solution is validated using experimental data and existing analytical (for simple problems) and numerical solutions. The Global Sensitivity Analysis (GSA) is performed to identify model parameters with an impact on nonreactive tracer breakthrough curves (BTC) for a selected data set. A sensitivity‐based calibration of the DPNE model’s parameters is carried out to simulate a BTC with multiple inflection points. The DPNE model can better describe the experimental datasets than the model based on the dual‐porosity (MIM) concept with first‐order mass transfer. Since the DPNE model considers detailed sorption and mass transfer dynamics, it is suitable for process‐based investigations.

中文翻译：

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双渗透多孔介质中非平衡溶质运移的半解析解

这项研究提出了一个概念性的双渗透非平衡（DPNE）模型，该模型考虑了物理和化学非平衡，以描述反应性溶质通过多孔介质的传输。在拉普拉斯域中推导出DPNE模型的半解析解，然后对其进行数值反转，以获取不同时间和深度下不同域中的浓度。使用实验数据以及现有的分析（针对简单问题）和数值解验证了派生的半解析解。执行全局灵敏度分析（GSA），以识别对所选数据集的非反应示踪剂穿透曲线（BTC）有影响的模型参数。对DPNE模型的参数进行了基于灵敏度的校准，以模拟具有多个拐点的BTC。与基于具有一阶质量传递的双孔隙度（MIM）概念的模型相比，DPNE模型可以更好地描述实验数据集。由于DPNE模型考虑了详细的吸附和传质动力学，因此适用于基于过程的研究。