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- Title
A Peridynamic Differential Operator-Based Model for Quantifying Spatial Non-Local Transport Behavior of Pollutants in Heterogeneous Media.
- Authors
Li, Tianyi; Gu, Xin; Zhang, Qing
- Abstract
Modeling pollutant transport in heterogeneous media is an important task of hydrology. Pollutant transport in a non-homogeneous environment typically exhibits non-local transport dynamics, whose efficient characterization requires a parsimonious model with the non-local feature. This study encapsulates the non-local transport characteristic of pollutants into the peridynamic differential operator (PDDO) and develops a PDDO-based model for quantifying the observed pollutant non-local transport behavior. The simulation results show that the proposed model can describe pollutant non-local transport behavior in various heterogeneous media. The non-local nature of pollutant transport can be adjusted by pre-defined weight function w (| ξ |) and horizon H x . Applications show that the PDDO-based model can better capture pollutant non-local transport behavior than the classical advection–diffusion equation (ADE) model, especially for quantifying the tail of the experimental data late. Analyses further reveal that the PDDO-based model can characterize both normal (Fickian) and anomalous (Lévy) diffusion regimes.
- Subjects
POLLUTANTS; ADVECTION-diffusion equations; DIFFERENTIAL operators; PARSIMONIOUS models
- Publication
Water (20734441), 2022, Vol 14, Issue 16, p2455
- ISSN
2073-4441
- Publication type
Article
- DOI
10.3390/w14162455