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On the computational acceleration of aggregating nanoparticle transport models using deep operator networks:
Vasileios E Katzourakis1, Constantinos V Chrysikopoulos2, Ibrahim Abe M Elfadel3
1Department of Civil and Environmental Engineering, Khalifa University of Science and Technology, Abu Dhabi 127788, United Arab Emirates.
Journal of Hazardous Materials
|June 26, 2026
Summary
Deep Operator Networks (DeepONets) accelerate nanoparticle transport simulations in porous media by learning complex aggregation dynamics. This enables faster, more accurate predictions of nanoparticle fate and transport.
Area of Science:
- Environmental Science
- Chemical Engineering
- Computational Science
Background:
- Accurate modeling of nanoparticle (NP) transport in porous media is crucial but computationally intensive due to complex processes like aggregation and attachment.
- Existing models struggle with large-scale simulations and fitting applications due to computational demands and differing time scales of involved processes.
Purpose of the Study:
- To develop a computationally efficient model for simulating nanoparticle transport in porous media, incorporating aggregation.
- To accelerate the fitting of experimental data using machine learning approaches.
Main Methods:
- A Deep Operator Networks (DeepONets) model was developed to learn the space-time evolution of NP concentrations, including advection, dispersion, and aggregation.
- The DeepONet was trained on data from conventional NP transport simulations, achieving significant speedups.
- The trained DeepONets model was integrated into a Tandem Neural Network Architecture (TNNA) for direct inference of transport coefficients.
Main Results:
- DeepONets achieved speedups of up to five orders of magnitude compared to conventional simulations.
- Analysis revealed that NP aggregation significantly influences plume dynamics, increasing velocity and spreading.
- The TNNA accelerated the fitting of experimental breakthrough curves by 33% using inferred transport coefficients.
Conclusions:
- DeepONets provide a computationally efficient method for simulating aggregating NP transport in porous media.
- The TNNA enhances the utility of DeepONets by enabling rapid inference of transport parameters.
- These AI-driven tools offer significant advantages for predicting nanoparticle fate and transport in environmental and engineered systems.