Usage of Particle Filter for Exact Estimation of Constant Head Boundaries in Unconfined Aquifer

Document Type : Research Article

Authors

1 Department of civil engineering

2 Associate Professor of Civil Engineering Department, University of Sistan and Baluchestan

3 Associate Professor in Hydraulic Structure, University of Sistan and Baluchestan Zahedan, Iran

4 Faculty of Engineering, University of Birjand

Abstract

Having the exact values of boundary conditions is one of the effective ways to develop precise groundwater models. In the present study, the exact value of constant head boundaries in the Birjand aquifer is specified using particle filter linked to meshless groundwater model. Particle filter, known as one of the common data assimilation methods, applies to dynamic systems in order to improve performance. Meshless model, one of the numerical models that do not mesh the problem domain, enforces the governed equation to the nodes. Birjand aquifer, with an almost 269 km2 area, has 190 extraction and 10 observation wells. There are also nine inflow and one outflow regions with constant head boundary conditions, including 105 boundary nodes. In this research, after determining the lower and upper bounds of groundwater head for each node, the exact values of this parameter are computed. Finally, the simulated groundwater head was compared with observation data. The closeness of the achieved results to the observation data showed the performance of the engaged method, as the results indicated a significant decrease in RMSE occurs just with the usage of particle filter linked to the meshless model. RMSE value reduced to 0.386 m as its previous value was around 0.757 m. Results also showed that the model was more accurate when the number of particles in the particle filter was increased. The RMSE value for 500, 700 and 1000 particles were 0.484, 0.401 and 0.386m respectively.

Keywords

Main Subjects

References

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Amirkabir Journal of Civil Engineering
Volume 53, Issue 12
March 2022
Pages 5175-5194

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