Efficient gHMC Reconstruction of Contaminant Release History
Abstract
We present a generalized hybrid Monte Carlo (gHMC) method for fast, statistically optimal reconstruction of release histories of reactive contaminants. The approach is applicable to large-scale, strongly nonlinear systems with parametric uncertainties and data corrupted by measurement errors. The use of discrete adjoint equations facilitates numerical implementation of gHMC without putting any restrictions on the degree of nonlinearity of advection-dispersion-reaction equations that are used to describe contaminant transport in the subsurface. To demonstrate the salient features of the proposed algorithm, we identify the spatial extent of a distributed source of contamination from concentration measurements of a reactive solute.
- Authors:
- Publication Date:
- Research Org.:
- Pacific Northwest National Laboratory (PNNL), Richland, WA (United States); Stanford Univ., CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF)
- OSTI Identifier:
- 1570043
- Alternate Identifier(s):
- OSTI ID: 1574394; OSTI ID: 1574861
- Report Number(s):
- PNNL-SA-147257; DOE-STANFORD-0019130-2
Journal ID: ISSN 2296-665X; 149
- Grant/Contract Number:
- AC05-76RL01830; SC0019393; SC0019130
- Resource Type:
- Published Article
- Journal Name:
- Frontiers in Environmental Science
- Additional Journal Information:
- Journal Name: Frontiers in Environmental Science Journal Volume: 7; Journal ID: ISSN 2296-665X
- Publisher:
- Frontiers Research Foundation
- Country of Publication:
- Switzerland
- Language:
- English
- Subject:
- 97 MATHEMATICS AND COMPUTING; source identification; contaminant transport; hybrid monte carlo; inverse problems; uncertainty quantification; Markov chain Monte Carlo
Citation Formats
Barajas-Solano, David A., Alexander, Francis J., Anghel, Marian, and Tartakovsky, Daniel M. Efficient gHMC Reconstruction of Contaminant Release History. Switzerland: N. p., 2019.
Web. doi:10.3389/fenvs.2019.00149.
Barajas-Solano, David A., Alexander, Francis J., Anghel, Marian, & Tartakovsky, Daniel M. Efficient gHMC Reconstruction of Contaminant Release History. Switzerland. https://doi.org/10.3389/fenvs.2019.00149
Barajas-Solano, David A., Alexander, Francis J., Anghel, Marian, and Tartakovsky, Daniel M. Fri .
"Efficient gHMC Reconstruction of Contaminant Release History". Switzerland. https://doi.org/10.3389/fenvs.2019.00149.
@article{osti_1570043,
title = {Efficient gHMC Reconstruction of Contaminant Release History},
author = {Barajas-Solano, David A. and Alexander, Francis J. and Anghel, Marian and Tartakovsky, Daniel M.},
abstractNote = {We present a generalized hybrid Monte Carlo (gHMC) method for fast, statistically optimal reconstruction of release histories of reactive contaminants. The approach is applicable to large-scale, strongly nonlinear systems with parametric uncertainties and data corrupted by measurement errors. The use of discrete adjoint equations facilitates numerical implementation of gHMC without putting any restrictions on the degree of nonlinearity of advection-dispersion-reaction equations that are used to describe contaminant transport in the subsurface. To demonstrate the salient features of the proposed algorithm, we identify the spatial extent of a distributed source of contamination from concentration measurements of a reactive solute.},
doi = {10.3389/fenvs.2019.00149},
journal = {Frontiers in Environmental Science},
number = ,
volume = 7,
place = {Switzerland},
year = {Fri Oct 11 00:00:00 EDT 2019},
month = {Fri Oct 11 00:00:00 EDT 2019}
}
https://doi.org/10.3389/fenvs.2019.00149
Web of Science
Works referenced in this record:
Backward probability model using multiple observations of contamination to identify groundwater contamination sources at the Massachusetts Military Reservation: BACKWARD PROBABILITY MODEL USING MULTIPLE OBSERVATIONS
journal, February 2005
- Neupauer, R. M.; Wilson, J. L.
- Water Resources Research, Vol. 41, Issue 2
Marching-jury backward beam equation and quasi-reversibility methods for hydrologic inversion: Application to contaminant plume spatial distribution recovery: MJBBE AND QR METHODS FOR HYDROLOGIC INVERSION
journal, February 2003
- Bagtzoglou, Amvrossios C.; Atmadja, Juliana
- Water Resources Research, Vol. 39, Issue 2
Backward location and travel time probabilities for a decaying contaminant in an aquifer
journal, October 2003
- Neupauer, Roseanna M.; Wilson, John L.
- Journal of Contaminant Hydrology, Vol. 66, Issue 1-2
Space-time optimization of groundwater quality sampling networks: GROUNDWATER QUALITY SAMPLING NETWORKS
journal, December 2005
- Herrera, Graciela S.; Pinder, George F.
- Water Resources Research, Vol. 41, Issue 12
Contamination Source Determination in Water Distribution Networks
journal, January 2012
- Gugat, Martin
- SIAM Journal on Applied Mathematics, Vol. 72, Issue 6
Adjoint Sensitivity Analysis for Differential-Algebraic Equations: The Adjoint DAE System and Its Numerical Solution
journal, January 2003
- Cao, Yang; Li, Shengtai; Petzold, Linda
- SIAM Journal on Scientific Computing, Vol. 24, Issue 3
Comparison of inverse methods for reconstructing the release history of a groundwater contamination source
journal, September 2000
- Neupauer, Roseanna M.; Borchers, Brian; Wilson, John L.
- Water Resources Research, Vol. 36, Issue 9
Adjoint sensitivity analysis for time-dependent partial differential equations with adaptive mesh refinement
journal, July 2004
- Li, Shengtai; Petzold, Linda
- Journal of Computational Physics, Vol. 198, Issue 1
A method for enforcing parameter nonnegativity in Bayesian inverse problems with an application to contaminant source identification: ENFORCING NON-NEGATIVITY IN INVERSE PROBLEMS
journal, February 2003
- Michalak, Anna M.; Kitanidis, Peter K.
- Water Resources Research, Vol. 39, Issue 2
Simultaneous identification of a contaminant source and hydraulic conductivity via the restart normal-score ensemble Kalman filter
journal, February 2018
- Xu, Teng; Gómez-Hernández, J. Jaime
- Advances in Water Resources, Vol. 112
Application of inverse methods to contaminant source identification from aquitard diffusion profiles at Dover AFB, Delaware
journal, July 1999
- Liu, Chongxuan; Ball, William P.
- Water Resources Research, Vol. 35, Issue 7
Application of particle methods to reliable identification of groundwater pollution sources
journal, January 1992
- Bagtzoglou, Amvrossios C.; Dougherty, David E.; Tompson, Andrew F. B.
- Water Resources Management, Vol. 6, Issue 1
A review of source term estimation methods for atmospheric dispersion events using static or mobile sensors
journal, July 2017
- Hutchinson, Michael; Oh, Hyondong; Chen, Wen-Hua
- Information Fusion, Vol. 36
A Second-Order Rosenbrock Method Applied to Photochemical Dispersion Problems
journal, January 1999
- Verwer, J. G.; Spee, E. J.; Blom, J. G.
- SIAM Journal on Scientific Computing, Vol. 20, Issue 4
Adjoint Implementation of Rosenbrock Methods Applied to Variational Data Assimilation Problems
journal, December 2000
- Daescu, Dacian; Carmichael, Gregory R.; Sandu, Adrian
- Journal of Computational Physics, Vol. 165, Issue 2
Contaminant source identification using semi-supervised machine learning
journal, May 2018
- Vesselinov, Velimir V.; Alexandrov, Boian S.; O’Malley, Daniel
- Journal of Contaminant Hydrology, Vol. 212
A geostatistical framework for incorporating transport information in estimating the distribution of a groundwater contaminant plume: USING TRANSPORT INFORMATION IN INTERPOLATION
journal, March 2007
- Shlomi, Shahar; Michalak, Anna M.
- Water Resources Research, Vol. 43, Issue 3
Accelerated Monte Carlo for Optimal Estimation of Time Series
journal, June 2005
- Alexander, Francis J.; Eyink, Gregory L.; Restrepo, Juan M.
- Journal of Statistical Physics, Vol. 119, Issue 5-6
Markov Chain Monte Carlo in Practice: A Roundtable Discussion
journal, May 1998
- Kass, Robert E.; Carlin, Bradley P.; Gelman, Andrew
- The American Statistician, Vol. 52, Issue 2
Recovering the release history of a groundwater contaminant
journal, January 1994
- Skaggs, Todd H.; Kabala, Z. J.
- Water Resources Research, Vol. 30, Issue 1
Application of geostatistical inverse modeling to contaminant source identification at Dover AFB, Delaware
journal, January 2004
- Michalak, Anna M.; Kitanidis, Peter K.
- Journal of Hydraulic Research, Vol. 42, Issue sup1
Contaminant source localization via Bayesian global optimization
journal, January 2019
- Pirot, Guillaume; Krityakierne, Tipaluck; Ginsbourger, David
- Hydrology and Earth System Sciences, Vol. 23, Issue 1
Estimation of Residual Dense NAPL Mass by Inverse Modeling
journal, January 1994
- Butcher, Jonathan B.; Gauthier, Thomas D.
- Ground Water, Vol. 32, Issue 1
Forward and backward location probabilities for sorbing solutes in groundwater
journal, July 2004
- Neupauer, R. M.; Wilson, J. L.
- Advances in Water Resources, Vol. 27, Issue 7
Recovering the History of a Groundwater Contaminant Plume: Method of Quasi-Reversibility
journal, November 1995
- Skaggs, Todd H.; Kabala, Z. J.
- Water Resources Research, Vol. 31, Issue 11
Pollution source identification in heterogeneous porous media
journal, August 2001
- Atmadja, Juliana; Bagtzoglou, Amvrossios C.
- Water Resources Research, Vol. 37, Issue 8
Adjoint method for obtaining backward-in-time location and travel time probabilities of a conservative groundwater contaminant
journal, November 1999
- Neupauer, Roseanna M.; Wilson, John L.
- Water Resources Research, Vol. 35, Issue 11
Discrete Adjoint Sensitivity Analysis of Hybrid Dynamical Systems With Switching
journal, May 2017
- Zhang, Hong; Abhyankar, Shrirang; Constantinescu, Emil
- IEEE Transactions on Circuits and Systems I: Regular Papers, Vol. 64, Issue 5
Stochastic analysis of effective rate constant for heterogeneous reactions
journal, December 2003
- Lichtner, P. C.; Tartakovsky, D. M.
- Stochastic Environmental Research and Risk Assessment (SERRA), Vol. 17, Issue 6
Nonnegative tensor factorization for contaminant source identification
journal, January 2019
- Vesselinov, Velimir V.; Alexandrov, Boian S.; O'Malley, Daniel
- Journal of Contaminant Hydrology, Vol. 220
Minimum Relative Entropy Inversion: Theory and Application to Recovering the Release History of a Groundwater Contaminant
journal, April 1996
- Woodbury, Allan D.; Ulrych, Tadeusz J.
- Water Resources Research, Vol. 32, Issue 9
Identification of release sources in advection–diffusion system by machine learning combined with Green’s function inverse method
journal, August 2018
- Stanev, Valentin G.; Iliev, Filip L.; Hansen, Scott
- Applied Mathematical Modelling, Vol. 60
State of the Art Report on Mathematical Methods for Groundwater Pollution Source Identification
journal, January 2001
- Atmadja, Juliana; Bagtzoglou, Amvrossios C.
- Environmental Forensics, Vol. 2, Issue 3
Estimation of historical groundwater contaminant distribution using the adjoint state method applied to geostatistical inverse modeling: ESTIMATION OF GROUNDWATER CONTAMINANT DISTRIBUTION
journal, August 2004
- Michalak, Anna M.; Kitanidis, Peter K.
- Water Resources Research, Vol. 40, Issue 8