Modeling One-Dimensional Nonreactive Solute Transport in Open Channel Flows Under Uncertain Flow and Solute Loading Conditions

Tu, Tongbi
Ercan, Ali
Levent Kavvas, M.
The study of solute transport processes in open channel flows is important for water quality management and environment protection. Solute transported in open channel flows is usually uncertain because of the underlying stochastic flow and uncertain solute source/sink conditions. Here a stochastic one-dimensional nonreactive transport model based on the Fokker-Planck equation (FPE) approach is developed. The governing equation for the developed stochastic model is a two-dimensional FPE that can explain the effect of both uncertain flow fields and solute source/sink conditions on the stochastic solute transport behavior. The proposed model can provide the spatiotemporal probability density function (PDF) of the solute concentration. Ensemble mean and standard deviation behavior in space and time can then be easily obtained through the corresponding PDF. A numerical experiment is conducted to demonstrate the capabilities of the two-dimensional stochastic transport model. The two-dimensional ULTIMATE QUICKEST finite difference scheme is applied to solve the FPE. Monte Carlo simulation is performed to validate the results obtained from the proposed approach. The validation results indicate that the proposed FPE approach can capture the complete probabilistic dynamics of a one-dimensional solute transport system under uncertain flow fields and solute source/sink conditions by providing the evolutionary PDF of solute concentration in both time and space in a computationally efficient way.


One-dimensional solute transport in open channel flow from a stochastic systematic perspective
Tu, Tongbi; Ercan, Ali; Kavvas, M. Levent (2019-07-01)
Solute transport by river and stream flows in natural environment has significant implication on water quality and the transport process is full of uncertainties. In this study, a stochastic one-dimensional solute transport model under uncertain open-channel flow conditions is developed. The proposed solute transport model is developed by upscaling the stochastic partial differential equations through their one-to-one correspondence to the nonlocal Lagrangian-Eulerian Fokker-Planck equations. The resulting ...
A Multi-Scale Approach for Improved Characterization of Surface Water-Groundwater Interactions: Integrating Thermal Remote Sensing and in-Stream Measurements
VARLI, Dilge; Yılmaz, Koray Kamil (2018-07-01)
The interaction between surface water and groundwater is recognized as a key process for effective management of water resources. However, scale dependency and spatial heterogeneity of the processes at the interface are limiting factors in the characterization of this process. A hierarchical, multi scale methodology has been devised and demonstrated to effectively and efficiently characterize the surface water-groundwater interaction along a 2-km reach in Kirmir stream, Turkey. Our methodology starts with i...
Assessment and prediction of water quality parameters in Lake Köyceğiz using artificial neural network approach
Özçelik, Oya; Alp, Emre; Aksoy, Ayşegül; Department of Environmental Engineering (2015)
Water quality monitoring plays a significant role on water resources management and planning. European Union (EU) Water Framework Directive aims to achieve “good status” for all waters.. Within the adaptation period to EU, Turkey aims to improve its water quality monitoring network; however, this will lead to time, budget and human resources problems. Purpose of this thesis is the application of a method that will provide water quality assessment (WQA) under limited budget and data conditions. The method wa...
Determination of chlorophyll-a distribution in Lake Eymir using regression and artificial neural network models with hybrid inputs
Yüzügüllü, Onur; Aksoy, Ayşegül; Department of Environmental Engineering (2011)
Chlorophyll-a is a parameter which can be used to understand the trophic state of water bodies. Therefore, monitoring of this parameter is required. Yet, distribution of chlorophyll-a in water bodies is not homogeneous and exhibits both spatial and temporal variations. Therefore, frequent sampling and high sample sizes are needed for the determination of chlorophyll-a quantities. This would in return increase the sampling costs and labor requirement, especially if the topography makes the location hard to r...
Probabilistic solution to two-dimensional stochastic solute transport model by the Fokker-Planck equation approach
Tu, Tongbi; Ercan, Ali; Kavvas, M. Levent (2020-01-01)
The study of solute transport in rivers is of environmental significance, since solute transported in river flows may affect the river water quality conditions. Solute transport in natural flows is a challenging process to be investigated, given natural flows usually indicate uncertainty in space and time. Two-dimensional models are more preferable to one-dimensional models, especially when the underlying flow field is complex. In this study, a stochastic horizontally two-dimensional solute transport model ...
Citation Formats
T. Tu, A. Ercan, and M. Levent Kavvas, “Modeling One-Dimensional Nonreactive Solute Transport in Open Channel Flows Under Uncertain Flow and Solute Loading Conditions,” JOURNAL OF HYDROLOGIC ENGINEERING, vol. 25, no. 8, pp. 0–0, 2020, Accessed: 00, 2022. [Online]. Available: