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Title: A gradient-descent adjoint method for the reconstruction of boundary conditions in a river flow nitrification model

Journal Article · · Environmental Science: Processes & Impacts
DOI: https://doi.org/10.1039/C9EM00500E · OSTI ID:1606700

One of the reasons for the limited applicability of predictive water quality models is the lack of data from monitoring control stations that are required as input. In this context, the main novelty of the present work is the recovery of information on the state variables present in a water quality model through measured data at a target downstream location. The reconstruction of the upstream boundary condition is the goal of the present work. For this purpose, an adjoint-state method is developed to find the sensitivities of the functional with respect to variations on the upstream boundary conditions of the model. The resolution of both forward and backward problems ensures strong, accurate and reliable solutions in both steady state and unsteady scenarios. Lastly, the different cases demonstrate that the method is able to reconstruct any observed distribution with little computational effort, including the heat balance with all its external inputs.

Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC05-00OR22725
OSTI ID:
1606700
Journal Information:
Environmental Science: Processes & Impacts, Vol. 22, Issue 2; ISSN 2050-7887
Publisher:
Royal Society of ChemistryCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 2 works
Citation information provided by
Web of Science

References (25)

Finite volume model for the simulation of 1D unsteady river flow and water quality based on the WASP journal November 2019
Optimal Wasteload Allocation Procedure for Achieving Dissolved Oxygen Water Quality Objectives. I: Sensitivity Analysis journal November 2004
Exact analytical solutions for contaminant transport in rivers 1. The equilibrium advection-dispersion equation journal June 2013
Adjoint Sensitivity Analysis for Shallow-Water Wave Control journal September 2000
River temperature sensitivity to hydraulic and meteorological parameters journal September 2002
Site and Size Optimization of Contaminant Sources in Surface Water Systems journal October 1996
The Response of Water Temperatures to Meteorological Conditions journal October 1968
Modified equilibrium temperature models for cold-water streams: EQUILIBRIUM TEMPERATURE FOR COLD-WATER STREAMS journal June 2011
A comprehensive explanation and exercise of the source terms in hyperbolic systems using Roe type solutions. Application to the 1D-2D shallow water equations journal December 2016
Application of an adjoint-based optimization procedure for the optimal control of internal boundary conditions in the shallow water equations journal March 2017
Optimal Wasteload Allocation Procedure for Achieving Dissolved Oxygen Water Quality Objectives. II: Optimal Load Control journal November 2004
Diffusion–dispersion numerical discretization for solute transport in 2D transient shallow flows journal November 2018
Adjoint Sensitivity Analysis of Contaminant Concentrations in Water Distribution Systems journal January 2011
A GPU accelerated adjoint-based optimizer for inverse modeling of the two-dimensional shallow water equations journal September 2016
Modelling Dissolved Oxygen Depression in an Urban River in China journal July 2017
Identification of Manning's roughness coefficients in channel network using adjoint analysis journal January 2005
An adaptive neural network embedded genetic algorithm approach for inverse water quality modeling: ADAPTIVE NN-GA INVERSE WATER QUALITY MODEL journal August 2007
Fertigation in Furrows and Level Furrow Systems. I: Model Description and Numerical Tests journal August 2009
Modeling river water quality parameters using modified adaptive neuro fuzzy inference system journal March 2019
Control of Contaminant Releases in Rivers. I: Adjoint Sensitivity Analysis journal June 1997
Friction term discretization and limitation to preserve stability and conservation in the 1D shallow-water model: Application to unsteady irrigation and river flow journal October 2008
Inverse Estimation of Parameters for an Estuarine Eutrophication Model journal November 1996
Global Optimization Methods in Geophysical Inversion journal March 2013
Engineering Optimization journal April 1985
Hydrodynamics and Water Quality journal September 2008