Search Menu
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information
Search Scholarly Publications

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

Abstract

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.

Authors:
ORCiD logo [1]; ORCiD logo [2];  [1]
+ Show Author Affiliations
  1. Univ. of Zaragoza (Spain)
  2. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1606700
Grant/Contract Number:  
AC05-00OR22725
Resource Type:
Accepted Manuscript
Journal Name:
Environmental Science: Processes & Impacts
Additional Journal Information:
Journal Volume: 22; Journal Issue: 2; Journal ID: ISSN 2050-7887
Publisher:
Royal Society of Chemistry
Country of Publication:
United States
Language:
English
Subject:
54 ENVIRONMENTAL SCIENCES

Citation Formats

Gordillo, Geovanny, Morales-Hernández, Mario, and García-Navarro, Pilar. A gradient-descent adjoint method for the reconstruction of boundary conditions in a river flow nitrification model. United States: N. p., 2020. Web. doi:10.1039/C9EM00500E.
Copy to clipboard
Gordillo, Geovanny, Morales-Hernández, Mario, & García-Navarro, Pilar. A gradient-descent adjoint method for the reconstruction of boundary conditions in a river flow nitrification model. United States. https://doi.org/10.1039/C9EM00500E
Copy to clipboard
Gordillo, Geovanny, Morales-Hernández, Mario, and García-Navarro, Pilar. Wed . "A gradient-descent adjoint method for the reconstruction of boundary conditions in a river flow nitrification model". United States. https://doi.org/10.1039/C9EM00500E. https://www.osti.gov/servlets/purl/1606700.
Copy to clipboard
@article{osti_1606700,
title = {A gradient-descent adjoint method for the reconstruction of boundary conditions in a river flow nitrification model},
author = {Gordillo, Geovanny and Morales-Hernández, Mario and García-Navarro, Pilar},
abstractNote = {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.},
doi = {10.1039/C9EM00500E},
journal = {Environmental Science: Processes & Impacts},
number = 2,
volume = 22,
place = {United States},
year = {2020},
month = {1}
}
Copy to clipboard
Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1039/C9EM00500E
Copyright Statement
Other availability
Search WorldCat Search WorldCat to find libraries that may hold this journal
Save / Share:
Export Metadata
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.

Works referenced in this record:

Finite volume model for the simulation of 1D unsteady river flow and water quality based on the WASP
journal, November 2019

  • Gordillo, Geovanny; Morales-Hernández, Mario; García-Navarro, Pilar
  • Journal of Hydroinformatics, Vol. 22, Issue 2
  • DOI: 10.2166/hydro.2019.080

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

  • Genuchten, Martinus Th. van; Leij, Feike J.; Skaggs, Todd H.
  • Journal of Hydrology and Hydromechanics, Vol. 61, Issue 2
  • DOI: 10.2478/johh-2013-0020

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

  • Edinger, John E.; Duttweiler, David W.; Geyer, John C.
  • Water Resources Research, Vol. 4, Issue 5
  • DOI: 10.1029/WR004i005p01137

Modified equilibrium temperature models for cold-water streams: EQUILIBRIUM TEMPERATURE FOR COLD-WATER STREAMS
journal, June 2011

  • Herb, William R.; Stefan, Heinz G.
  • Water Resources Research, Vol. 47, Issue 6
  • DOI: 10.1029/2010WR009586

Application of an adjoint-based optimization procedure for the optimal control of internal boundary conditions in the shallow water equations
journal, March 2017

Diffusion–dispersion numerical discretization for solute transport in 2D transient shallow flows
journal, November 2018

  • Morales-Hernández, M.; Murillo, J.; García-Navarro, P.
  • Environmental Fluid Mechanics, Vol. 19, Issue 5
  • DOI: 10.1007/s10652-018-9644-2

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

  • Huang, Jingshui; Yin, Hailong; Chapra, Steven
  • Water, Vol. 9, Issue 7
  • DOI: 10.3390/w9070520

Identification of Manning's roughness coefficients in channel network using adjoint analysis
journal, January 2005

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

  • Burguete, J.; García-Navarro, P.; Murillo, J.
  • International Journal for Numerical Methods in Fluids, Vol. 58, Issue 4
  • DOI: 10.1002/fld.1727

Inverse Estimation of Parameters for an Estuarine Eutrophication Model
journal, November 1996

Engineering Optimization
journal, April 1985

Hydrodynamics and Water Quality
journal, September 2008

    Sort by:
    [ × clear filter / sort ]

    Similar Records in DOE PAGES and OSTI.GOV collections: