Based on the conformable derivative approach, conformable advection–diffusion equations with equilibrium and non-equilibrium adsorption for contaminant migration in porous media are proposed, and the analytical solutions are obtained via the Laplace transform method in this work. In addition, concentration profiles are carried out for the illustrative explanations of the analytical solutions. This work forms a basis for further applications of conformable calculus in modeling of contaminant time-dependent migration in porous media.

中文翻译：

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等温吸附污染物迁移的对流扩散方程的解析解

基于相容​​导数方法，提出了具有平衡和非平衡吸附的相容对流扩散方程，用于污染物在多孔介质中的迁移，并通过拉普拉斯变换法获得了解析解。另外，进行浓度曲线用于分析溶液的说明性解释。这项工作为在多孔介质中污染物随时间变化的迁移建模中顺应性演算的进一步应用奠定了基础。