Analytical Solution for Two-Dimensional Reactive Contaminant Transport under a Neumann Flux Boundary: Adsorption, Release Mode, and Landfill Leakage Application

This project gives research direction and implementation support for modeling subsurface contaminant migration with a new analytical formulation. It studies the transport of reactive contaminants in a two‑dimensional groundwater system that has a Neumann flux boundary condition. The model includes: – linear first‑order kinetic adsorption – advection and dispersion – radioactive or biological decay It can handle two source‑release types that are common in landfill leaks: – an instantaneous release – an exponentially decaying release By solving the governing partial differential equations analytically, the model avoids the problems of traditional Dirichlet‑based solutions, which often predict peak concentrations that are too high. A quantitative sensitivity analysis examines how key parameters affect

the plume’s space‑time distribution. The parameters studied are: – retardation factor – decay constant – source width – adsorption coefficient The implementation guide shows how to code the closed‑form solutions in MATLAB or Python, how to validate the results against numerical models, and how to run parametric studies. This resource provides an advanced, method‑focused framework for M.Tech students working on groundwater remediation, environmental risk assessment, and landfill liner performance evaluation.

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