Probabilistic solution to two-dimensional stochastic solute transport model by the Fokker-Planck equation approach

Date

2020-01-01

Author

Tu, Tongbi
Ercan, Ali
Kavvas, M. Levent

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

64
views

0
downloads

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 is developed. The proposed model can account for the effect of uncertain two-dimensional flow field and solute loading conditions on the uncertainty of the solute transport. The governing equation of the proposed model is in the form of Fokker-Planck equation, which characterizes the spatiotemporal evolution of the probability density function of the state variables of the solute transport process. Consequently, the mean and standard deviation behavior of the ensemble solute transport under uncertain conditions can be quantified. The numerical solutions of the proposed model are validated with the Monte Carlo simulations under uncertain flow fields. The comparison of the results by the two methods indicate the developed two-dimensional stochastic solute transport model can sufficiently express the spatial variability of the solute transport process and adequately capture the ensemble solute transport behavior by the complete probabilistic description of the solute transport process under uncertain conditions.

Subject Keywords

Two-dimensional, Stochastic solute transport, Fokker-Planck Equation, Upscaling, Monte Carlo simulation, OPEN-CHANNEL FLOW, UNSTEADY, SIMULATION, SCHEME

URI

https://hdl.handle.net/11511/100904

Journal

JOURNAL OF HYDROLOGY

DOI

https://doi.org/10.1016/j.jhydrol.2019.124250

Collections

Department of Civil Engineering, Article

Suggestions

OpenMETU
Core

Modeling One-Dimensional Nonreactive Solute Transport in Open Channel Flows Under Uncertain Flow and Solute Loading Conditions Tu, Tongbi; Ercan, Ali; Levent Kavvas, M. (2020-08-01) 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 ...
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...
Tracking transformation processes of organic micropollutants in aquatic environments using multi-element isotope fractionation analysis Hofstetter, Thomas B.; Bolotin, Jakov; Skarpeli-Liati, Marita; Wijker, Reto; Kurt, Zöhre; Nishino, Shirley F.; Spain, Jim C. (Elsevier BV, 2011-06-01) The quantitative description of enzymatic or abiotic transformations of man-made organic micropollutants in rivers, lakes, and groundwaters is one of the major challenges associated with the risk assessment of water resource contamination. Compound-specific isotope analysis enables one to identify (bio)degradation pathways based on changes in the contaminants' stable isotope ratios even if multiple reactive and non-reactive processes cause concentrations to decrease. Here, we investigated how the magnitude ...
Estimation of diffuse pollution loads of pesticides in tersakan sub-basin of Yeşilirmak river Ayyıldız, Ceren; Ünlü, Kahraman; Department of Environmental Engineering (2019) Tersakan Creek is one of the highly polluted tributaries of Yeşilırmak River because it receives pollution loads both from discharges of the industrial facilities and run-off water of the agricultural areas in the sub-basin. A monitoring program was implemented to determine the water quality status of the sub-basin in accordance with the EU Water Framework Directive (WFD). The results of the water sample analyses revealed that concentrations of 22 pesticides, out of the detected 57 pesticides, exceeded the ...

Citation Formats

T. Tu, A. Ercan, and M. L. Kavvas, “Probabilistic solution to two-dimensional stochastic solute transport model by the Fokker-Planck equation approach,” JOURNAL OF HYDROLOGY, vol. 580, pp. 0–0, 2020, Accessed: 00, 2022. [Online]. Available: https://hdl.handle.net/11511/100904.