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Updated: Feb 2, 2026

Dispersion of Nanomaterials in Aqueous Media: Towards Protocol Optimization
Published on: December 25, 2017
Improving one-dimensional pollution dispersion modeling in rivers using ANFIS and ANN-based GA optimized models.
Akram Seifi1, Hossien Riahi-Madvar2
1Department of Water Engineering, College of Agriculture, Vali-e-Asr University of Rafsanjan, P.O. Box 815, Rafsanjan, Iran.
This study introduces a hybrid numerical-intelligence model to accurately predict pollutant transport in rivers. The model integrates artificial intelligence, specifically the ANFIS-GA method, with numerical simulations for improved dispersion coefficient estimation and water quality modeling.
Area of Science:
- Environmental Engineering
- Water Resources Management
- Computational Fluid Dynamics
Background:
- Accurate simulation of pollutant transport is crucial for river engineering and water quality management.
- The one-dimensional advection-dispersion equation (1D-ADE) is a standard model, but its accuracy depends on precise estimation of the longitudinal dispersion coefficient (Dx).
- Traditional methods for Dx estimation often lack the accuracy required for complex river systems.
Purpose of the Study:
- To develop and evaluate a hybrid numerical-intelligence model for enhanced prediction of pollutant dispersion in open-channel flows.
- To improve the estimation of the longitudinal dispersion coefficient (Dx) using artificial intelligence techniques.
- To integrate optimized artificial intelligence models with a numerical 1D-ADE solver for superior water quality simulation.
Main Methods:
- Development of a hybrid model combining artificial intelligence (AI) modules with a numerical 1D-ADE solver.
- Optimization of AI models, including Adaptive Neuro-Fuzzy Inference System (ANFIS) and Artificial Neural Networks (ANNs), using the Genetic Algorithm (GA).
- Numerical solution of the 1D-ADE using the Physically Influenced Scheme (PIS) within the finite volume method.
- Comparison of AI-based Dx estimations (ANN, ANFIS, ANFIS-GA, ANN-GA) and empirical methods against observed data from 505 river sections.
Main Results:
- The ANFIS-GA model demonstrated the highest accuracy in estimating the longitudinal dispersion coefficient (Dx) compared to other AI and empirical methods.
- The hybrid PIS-ANFIS-GA model significantly outperformed classical methods (PIS-ANFIS, PIS-empirical) in simulating pollutant transport, as validated by R², RMSE, MAE, and NSE metrics.
- The developed hybrid model accurately predicts dispersion processes in rivers, showing improved performance against analytical solutions and measured concentration hydrographs.
Conclusions:
- The hybrid numerical-intelligence model offers a more accurate and reliable approach for sediment and pollutant dispersion prediction in open-channel flows.
- The integration of GA-optimized ANFIS and ANN models represents a novel and effective advancement in water quality modeling.
- This approach enhances the practical applicability of advanced AI techniques in environmental and river engineering studies.
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