Hydrogeological Model Selection Among Complex Spatial Priors
Abstract
Hydrogeological field studies rely often on a single conceptual representation of the subsurface. This is problematic since the impact of a poorly chosen conceptual model on predictions might be significantly larger than the one caused by parameter uncertainty. Furthermore, conceptual models often need to incorporate geological concepts and patterns in order to provide meaningful uncertainty quantification and predictions. Consequently, several geologically realistic conceptual models should ideally be considered and evaluated in terms of their relative merits. Here, we propose a full Bayesian methodology based on Markov chain Monte Carlo to enable model selection among 2-D conceptual models that are sampled using training images and concepts from multiple-point statistics. More precisely, power posteriors for the different conceptual subsurface models are sampled using sequential geostatistical resampling and Graph Cuts. To demonstrate the methodology, we compare and rank five alternative conceptual geological models that have been proposed in the literature to describe aquifer heterogeneity at the MAcroDispersion Experiment site in Mississippi, USA. We consider a small-scale tracer test for which the spatial distribution of hydraulic conductivity impacts multilevel solute concentration data observed along a 2-D transect. The thermodynamic integration and the stepping-stone sampling methods were used to compute the evidence and associated Bayesmore »
- Authors:
-
[1];
[2];
[1];
[1]
- Univ. of Lausanne, Lausanne (Switzerland). Applied and Environmental Geophysics Group, Inst. of Earth Sciences
- British Geological Survey, Environmental Science Centre, Nottingham (United Kingdom)
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1572041
- Grant/Contract Number:
- AC02-05CH11231
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Water Resources Research
- Additional Journal Information:
- Journal Volume: 55; Journal Issue: 8; Journal ID: ISSN 0043-1397
- Publisher:
- American Geophysical Union (AGU)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 58 GEOSCIENCES
Citation Formats
Brunetti, C., Bianchi, M., Pirot, G., and Linde, N. Hydrogeological Model Selection Among Complex Spatial Priors. United States: N. p., 2019.
Web. doi:10.1029/2019wr024840.
Brunetti, C., Bianchi, M., Pirot, G., & Linde, N. Hydrogeological Model Selection Among Complex Spatial Priors. United States. https://doi.org/10.1029/2019wr024840
Brunetti, C., Bianchi, M., Pirot, G., and Linde, N. Fri .
"Hydrogeological Model Selection Among Complex Spatial Priors". United States. https://doi.org/10.1029/2019wr024840. https://www.osti.gov/servlets/purl/1572041.
@article{osti_1572041,
title = {Hydrogeological Model Selection Among Complex Spatial Priors},
author = {Brunetti, C. and Bianchi, M. and Pirot, G. and Linde, N.},
abstractNote = {Hydrogeological field studies rely often on a single conceptual representation of the subsurface. This is problematic since the impact of a poorly chosen conceptual model on predictions might be significantly larger than the one caused by parameter uncertainty. Furthermore, conceptual models often need to incorporate geological concepts and patterns in order to provide meaningful uncertainty quantification and predictions. Consequently, several geologically realistic conceptual models should ideally be considered and evaluated in terms of their relative merits. Here, we propose a full Bayesian methodology based on Markov chain Monte Carlo to enable model selection among 2-D conceptual models that are sampled using training images and concepts from multiple-point statistics. More precisely, power posteriors for the different conceptual subsurface models are sampled using sequential geostatistical resampling and Graph Cuts. To demonstrate the methodology, we compare and rank five alternative conceptual geological models that have been proposed in the literature to describe aquifer heterogeneity at the MAcroDispersion Experiment site in Mississippi, USA. We consider a small-scale tracer test for which the spatial distribution of hydraulic conductivity impacts multilevel solute concentration data observed along a 2-D transect. The thermodynamic integration and the stepping-stone sampling methods were used to compute the evidence and associated Bayes factors using the computed power posteriors. We find that both methods are compatible with multiple-point statistics-based inversions and provide a consistent ranking of the competing conceptual models considered.},
doi = {10.1029/2019wr024840},
journal = {Water Resources Research},
number = 8,
volume = 55,
place = {United States},
year = {Fri Jul 05 00:00:00 EDT 2019},
month = {Fri Jul 05 00:00:00 EDT 2019}
}
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Figures / Tables:
Algorithm 1: MCMC inversion workflow based on MPS and the extended Metropolis algorithm to enable evidence estimation using power posteriors.
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Works referenced in this record:
Some Tests of Significance, Treated by the Theory of Probability
journal, April 1935
- Jeffreys, Harold
- Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 31, Issue 2
Bayes Factors
journal, June 1995
- Kass, Robert E.; Raftery, Adrian E.
- Journal of the American Statistical Association, Vol. 90, Issue 430
An experimental comparison of min-cut/max- flow algorithms for energy minimization in vision
journal, September 2004
- Boykov, Y.; Kolmogorov, V.
- IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 26, Issue 9
Posterior population expansion for solving inverse problems: POSTERIOR POPULATION EXP.
journal, April 2017
- Jäggli, C.; Straubhaar, J.; Renard, P.
- Water Resources Research, Vol. 53, Issue 4
Nested Sampling
conference, January 2004
- Skilling, John
- BAYESIAN INFERENCE AND MAXIMUM ENTROPY METHODS IN SCIENCE AND ENGINEERING: 24th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering, AIP Conference Proceedings
Inference from Iterative Simulation Using Multiple Sequences
journal, November 1992
- Gelman, Andrew; Rubin, Donald B.
- Statistical Science, Vol. 7, Issue 4
Targeting Bayes factors with direct-path non-equilibrium thermodynamic integration
journal, March 2017
- Grzegorczyk, Marco; Aderhold, Andrej; Husmeier, Dirk
- Computational Statistics, Vol. 32, Issue 2
Interpretative modelling of a geological cross section from boreholes: sources of uncertainty and their quantification
journal, January 2014
- Lark, R. M.; Thorpe, S.; Kessler, H.
- Solid Earth, Vol. 5, Issue 2
Marginal likelihood estimation via power posteriors
journal, July 2008
- Friel, N.; Pettitt, A. N.
- Journal of the Royal Statistical Society: Series B (Statistical Methodology), Vol. 70, Issue 3
Training‐Image Based Geostatistical Inversion Using a Spatial Generative Adversarial Neural Network
journal, January 2018
- Laloy, Eric; Hérault, Romain; Jacques, Diederik
- Water Resources Research, Vol. 54, Issue 1
Simulating normalizing constants: from importance sampling to bridge sampling to path sampling
journal, May 1998
- Gelman, Andrew; Meng, Xiao-Li
- Statistical Science, Vol. 13, Issue 2
Geological realism in hydrogeological and geophysical inverse modeling: A review
journal, December 2015
- Linde, Niklas; Renard, Philippe; Mukerji, Tapan
- Advances in Water Resources, Vol. 86
When good statistical models of aquifer heterogeneity go bad: A comparison of flow, dispersion, and mass transfer in connected and multivariate Gaussian hydraulic conductivity fields: FLOW, DISPERSION, AND MASS TRANSFER
journal, March 2003
- Zinn, Brendan; Harvey, Charles F.
- Water Resources Research, Vol. 39, Issue 3
On the efficient sampling of pathways in the transition path ensemble
journal, January 2001
- Vlugt, Thijs J. H.; Smit, Berend
- PhysChemComm, Vol. 4, Issue 2
Influence of conceptual model uncertainty on contaminant transport forecasting in braided river aquifers
journal, December 2015
- Pirot, Guillaume; Renard, Philippe; Huber, Emanuel
- Journal of Hydrology, Vol. 531
Conceptual model uncertainty in groundwater modeling: Combining generalized likelihood uncertainty estimation and Bayesian model averaging: EVALUATING CONCEPTUAL MODEL
journal, December 2008
- Rojas, Rodrigo; Feyen, Luc; Dassargues, Alain
- Water Resources Research, Vol. 44, Issue 12
Bayesian evidence computation for model selection in non-linear geoacoustic inference problems
journal, December 2010
- Dettmer, Jan; Dosso, Stan E.; Osler, John C.
- The Journal of the Acoustical Society of America, Vol. 128, Issue 6
Probabilistic inversion with graph cuts: Application to the Boise Hydrogeophysical Research Site: INVERSION WITH GRAPH CUTS AT THE BHRS
journal, February 2017
- Pirot, Guillaume; Linde, Niklas; Mariethoz, Grégoire
- Water Resources Research, Vol. 53, Issue 2
Analysis of Solute Transport in Flow Fields Influenced by Preferential Flowpaths at the Decimeter Scale
journal, March 2003
- Zheng, Chunmiao; Gorelick, Steven M.
- Ground Water, Vol. 41, Issue 2
Three-dimensional high resolution fluvio-glacial aquifer analog: Part 1: Field study
journal, July 2011
- Bayer, P.; Huggenberger, P.; Renard, P.
- Journal of Hydrology, Vol. 405, Issue 1-2
Bayesian model selection for complex geological structures using polynomial chaos proxy
journal, March 2017
- Bazargan, Hamid; Christie, Mike
- Computational Geosciences, Vol. 21, Issue 3
Three-dimensional high resolution fluvio-glacial aquifer analog – Part 2: Geostatistical modeling
journal, July 2011
- Comunian, A.; Renard, P.; Straubhaar, J.
- Journal of Hydrology, Vol. 405, Issue 1-2
Improving power posterior estimation of statistical evidence
journal, May 2013
- Friel, Nial; Hurn, Merrilee; Wyse, Jason
- Statistics and Computing, Vol. 24, Issue 5
Tomogram-based comparison of geostatistical models: Application to the Macrodispersion Experiment (MADE) site
journal, December 2015
- Linde, Niklas; Lochbühler, Tobias; Dogan, Mine
- Journal of Hydrology, Vol. 531
Summary statistics from training images as prior information in probabilistic inversion
journal, February 2015
- Lochbühler, Tobias; Vrugt, Jasper A.; Sadegh, Mojtaba
- Geophysical Journal International, Vol. 201, Issue 1
Integrating MT-DREAMzs and nested sampling algorithms to estimate marginal likelihood and comparison with several other methods
journal, August 2018
- Cao, Tongtong; Zeng, Xiankui; Wu, Jichun
- Journal of Hydrology, Vol. 563
Quantifying Uncertainty in Subsurface Systems
book, May 2018
- Scheidt, Céline; Li, Lewis; Caers, Jef
- Geophysical Monograph Series
The Direct Sampling method to perform multiple-point geostatistical simulations: PERFORMING MULTIPLE-POINTS SIMULATIONS
journal, November 2010
- Mariethoz, Gregoire; Renard, Philippe; Straubhaar, Julien
- Water Resources Research, Vol. 46, Issue 11
The Controlled Thermodynamic Integral for Bayesian Model Evidence Evaluation
journal, April 2016
- Oates, Chris J.; Papamarkou, Theodore; Girolami, Mark
- Journal of the American Statistical Association, Vol. 111, Issue 514
Conditioning of Multiple-Point Statistics Facies Simulations to Tomographic Images
journal, September 2013
- Lochbühler, Tobias; Pirot, Guillaume; Straubhaar, Julien
- Mathematical Geosciences, Vol. 46, Issue 5
Geological modeling of submeter scale heterogeneity and its influence on tracer transport in a fluvial aquifer
journal, October 2010
- Ronayne, Michael J.; Gorelick, Steven M.; Zheng, Chunmiao
- Water Resources Research, Vol. 46, Issue 10
Choosing among Partition Models in Bayesian Phylogenetics
journal, August 2010
- Fan, Y.; Wu, R.; Chen, M. -H.
- Molecular Biology and Evolution, Vol. 28, Issue 1
Evaluating marginal likelihood with thermodynamic integration method and comparison with several other numerical methods: THERMODYNAMIC INTEGRATION FOR EVALUATING MARGINAL LIKELIHOOD
journal, February 2016
- Liu, Peigui; Elshall, Ahmed S.; Ye, Ming
- Water Resources Research, Vol. 52, Issue 2
Calibration of channelized subsurface flow models using nested sampling and soft probabilities
journal, January 2015
- Elsheikh, Ahmed H.; Demyanov, Vasily; Tavakoli, Reza
- Advances in Water Resources, Vol. 75
Bayesian inverse problem and optimization with iterative spatial resampling: ITERATIVE SPATIAL RESAMPLING
journal, November 2010
- Mariethoz, Grégoire; Renard, Philippe; Caers, Jef
- Water Resources Research, Vol. 46, Issue 11
Monte Carlo sampling of solutions to inverse problems
journal, July 1995
- Mosegaard, Klaus; Tarantola, Albert
- Journal of Geophysical Research: Solid Earth, Vol. 100, Issue B7
Inverse problems with non-trivial priors: efficient solution through sequential Gibbs sampling
journal, January 2012
- Hansen, Thomas Mejer; Cordua, Knud Skou; Mosegaard, Klaus
- Computational Geosciences, Vol. 16, Issue 3
Can uncertainty in geological cross-section interpretations be quantified and predicted?
journal, April 2018
- Randle, Charles H.; Bond, Clare E.; Lark, R. Murray
- Geosphere, Vol. 14, Issue 3
Dealing with spatial heterogeneity
journal, February 2005
- de Marsily, Gh.; Delay, F.; Gonçalvès, J.
- Hydrogeology Journal, Vol. 13, Issue 1
Issues in characterizing heterogeneity and connectivity in non-multiGaussian media
journal, January 2008
- Kerrou, Jaouher; Renard, Philippe; Hendricks Franssen, Harrie-Jan
- Advances in Water Resources, Vol. 31, Issue 1
Bayesian evolutionary model testing in the phylogenomics era: matching model complexity with computational efficiency
journal, June 2013
- Baele, G.; Lemey, P.
- Bioinformatics, Vol. 29, Issue 16
Bayesian model selection in hydrogeophysics: Application to conceptual subsurface models of the South Oyster Bacterial Transport Site, Virginia, USA
journal, April 2017
- Brunetti, Carlotta; Linde, Niklas; Vrugt, Jasper A.
- Advances in Water Resources, Vol. 102
To be or not to be multi-Gaussian? A reflection on stochastic hydrogeology
journal, February 1998
- Gómez-Hernández, J. Jaime; Wen, Xian-Huan
- Advances in Water Resources, Vol. 21, Issue 1
Model selection on solid ground: Rigorous comparison of nine ways to evaluate Bayesian model evidence
journal, December 2014
- Schöniger, Anneli; Wöhling, Thomas; Samaniego, Luis
- Water Resources Research, Vol. 50, Issue 12
An adaptive multiscale method for density-driven instabilities
journal, July 2012
- Künze, Rouven; Lunati, Ivan
- Journal of Computational Physics, Vol. 231, Issue 17
Modelling guidelines––terminology and guiding principles
journal, January 2004
- Refsgaard, Jens Christian; Henriksen, Hans Jørgen
- Advances in Water Resources, Vol. 27, Issue 1
Improved Nested Sampling and Surrogate-Enabled Comparison With Other Marginal Likelihood Estimators
journal, February 2018
- Zeng, Xiankui; Ye, Ming; Wu, Jichun
- Water Resources Research, Vol. 54, Issue 2
Investigation of Small-Scale Preferential Flow with a Forced-Gradient Tracer Test
journal, August 2010
- Bianchi, Marco; Zheng, Chunmiao; Tick, Geoffrey R.
- Ground Water, Vol. 49, Issue 4
Image synthesis with graph cuts: a fast model proposal mechanism in probabilistic inversion
journal, December 2015
- Zahner, Tobias; Lochbühler, Tobias; Mariethoz, Grégoire
- Geophysical Journal International, Vol. 204, Issue 2
Connectivity metrics for subsurface flow and transport
journal, January 2013
- Renard, Philippe; Allard, Denis
- Advances in Water Resources, Vol. 51
A lithofacies approach for modeling non‐ F ickian solute transport in a heterogeneous alluvial aquifer
journal, January 2016
- Bianchi, Marco; Zheng, Chunmiao
- Water Resources Research, Vol. 52, Issue 1
High-dimensional posterior exploration of hydrologic models using multiple-try DREAM (ZS) and high-performance computing : EFFICIENT MCMC FOR HIGH-DIMENSIONAL PROBLEMS
journal, January 2012
- Laloy, Eric; Vrugt, Jasper A.
- Water Resources Research, Vol. 48, Issue 1
Computing Bayes Factors Using Thermodynamic Integration
journal, April 2006
- Lartillot, Nicolas; Philippe, Hervé
- Systematic Biology, Vol. 55, Issue 2
A dual-domain mass transfer approach for modeling solute transport in heterogeneous aquifers: Application to the Macrodispersion Experiment (MADE) site
journal, September 2000
- Feehley, C. Erin; Zheng, Chunmiao; Molz, Fred J.
- Water Resources Research, Vol. 36, Issue 9
Spatial connectivity in a highly heterogeneous aquifer: From cores to preferential flow paths: SPATIAL CONNECTIVITY IN A HETEROGENEOUS AQUIFER
journal, May 2011
- Bianchi, Marco; Zheng, Chunmiao; Wilson, Crystal
- Water Resources Research, Vol. 47, Issue 5
Review of strategies for handling geological uncertainty in groundwater flow and transport modeling
journal, February 2012
- Refsgaard, Jens Christian; Christensen, Steen; Sonnenborg, Torben O.
- Advances in Water Resources, Vol. 36
Relative importance of dispersion and rate-limited mass transfer in highly heterogeneous porous media: Analysis of a new tracer test at the Macrodispersion Experiment (MADE) site: NEW SWIW TRACER TEST AT THE MADE SITE
journal, March 2010
- Liu, Gaisheng; Zheng, Chunmiao; Tick, Geoffrey R.
- Water Resources Research, Vol. 46, Issue 3
Patch-based iterative conditional geostatistical simulation using graph cuts: GEOSTATISTICAL SIMULATION USING GRAPH CUTS
journal, August 2016
- Li, Xue; Mariethoz, Gregoire; Lu, DeTang
- Water Resources Research, Vol. 52, Issue 8
On uncertainty quantification in hydrogeology and hydrogeophysics
journal, December 2017
- Linde, Niklas; Ginsbourger, David; Irving, James
- Advances in Water Resources, Vol. 110
Make the most of your samples: Bayes factor estimators for high-dimensional models of sequence evolution
journal, March 2013
- Baele, Guy; Lemey, Philippe; Vansteelandt, Stijn
- BMC Bioinformatics, Vol. 14, Issue 1
Reversible jump Markov chain Monte Carlo computation and Bayesian model determination
journal, January 1995
- Green, Peter J.
- Biometrika, Vol. 82, Issue 4
Improving Marginal Likelihood Estimation for Bayesian Phylogenetic Model Selection
journal, December 2010
- Xie, Wangang; Lewis, Paul O.; Fan, Yu
- Systematic Biology, Vol. 60, Issue 2
Multiple-point geostatistics for modeling subsurface heterogeneity: A comprehensive review: REVIEW OF MULTIPLE POI
journal, November 2008
- Hu, L. Y.; Chugunova, T.
- Water Resources Research, Vol. 44, Issue 11
Lessons Learned from 25 Years of Research at the MADE Site
journal, September 2010
- Zheng, Chunmiao; Bianchi, Marco; Gorelick, Steven M.
- Ground Water, Vol. 49, Issue 5
Bayesian calibration of a large-scale geothermal reservoir model by a new adaptive delayed acceptance Metropolis Hastings algorithm: ADAPTIVE DELAYED ACCEPTANCE METROPOLIS-HASTINGS ALGORITHM
journal, October 2011
- Cui, T.; Fox, C.; O'Sullivan, M. J.
- Water Resources Research, Vol. 47, Issue 10
Falsification and corroboration of conceptual hydrological models using geophysical data: Falsification of hydrological models using geophysics
journal, January 2014
- Linde, Niklas
- Wiley Interdisciplinary Reviews: Water, Vol. 1, Issue 2
Estimating Bayes factors via thermodynamic integration and population MCMC
journal, October 2009
- Calderhead, Ben; Girolami, Mark
- Computational Statistics & Data Analysis, Vol. 53, Issue 12
Field study of dispersion in a heterogeneous aquifer: 1. Overview and site description
journal, December 1992
- Boggs, J. Mark; Young, Steven C.; Beard, Lisa M.
- Water Resources Research, Vol. 28, Issue 12
The Necessity of a Multiple-Point Prior Model
journal, December 2006
- Journel, Andre; Zhang, Tuanfeng
- Mathematical Geology, Vol. 38, Issue 5
Merging parallel tempering with sequential geostatistical resampling for improved posterior exploration of high-dimensional subsurface categorical fields
journal, April 2016
- Laloy, Eric; Linde, Niklas; Jacques, Diederik
- Advances in Water Resources, Vol. 90
Field study of dispersion in a heterogeneous aquifer: 3. Geostatistical analysis of hydraulic conductivity
journal, December 1992
- Rehfeldt, Kenneth R.; Boggs, J. Mark; Gelhar, Lynn W.
- Water Resources Research, Vol. 28, Issue 12
Rate-limited mass transfer or macrodispersion: Which dominates plume evolution at the macrodispersion experiment (MADE) site?
journal, March 2000
- Harvey, Charles; Gorelick, Steven M.
- Water Resources Research, Vol. 36, Issue 3
Heterogeneity in Sedimentary Deposits: A Review of Structure-Imitating, Process-Imitating, and Descriptive Approaches
journal, April 1996
- Koltermann, Christine E.; Gorelick, Steven M.
- Water Resources Research, Vol. 32, Issue 9
What do you think this is? “Conceptual uncertainty” in geoscience interpretation
journal, January 2007
- Bond, C. E.; Gibbs, A. D.; Shipton, Z. K.
- GSA Today, Vol. 17, Issue 11
Measuring the impact of COVID-19 vaccine misinformation on vaccination intent in the UK and USA
journal, February 2021
- Loomba, Sahil; de Figueiredo, Alexandre; Piatek, Simon J.
- Nature Human Behaviour, Vol. 5, Issue 3
Abdominal multi-organ auto-segmentation using 3D-patch-based deep convolutional neural network
journal, April 2020
- Kim, Hojin; Jung, Jinhong; Kim, Jieun
- Scientific Reports, Vol. 10, Issue 1
The Controlled Thermodynamic Integral for Bayesian Model Evidence Evaluation
text, January 2016
- Oates, Chris J.; Papamarkou, Theodore; Girolami, Mark
- Taylor & Francis
Geostatistics for environmental applications
journal, August 2013
- Gómez-Hernández, J. Jaime; Horta, Ana; Jeanée, Nicolas
- Spatial Statistics, Vol. 5
On uncertainty quantification in hydrogeology and hydrogeophysics
text, January 2017
- Linde, Niklas; Ginsbourger, David; Irving, James
- Elsevier
The controlled thermodynamic integral for Bayesian model evidence evaluation
text, January 2015
- Oates, Chris J.; Papamarkou, Theodore; Girolami, Mark
- Taylor & Francis
Parallel power posterior analyses for fast computation of marginal likelihoods in phylogenetics
journal, January 2021
- Höhna, Sebastian; Landis, Michael J.; Huelsenbeck, John P.
- PeerJ, Vol. 9
Improving power posterior estimation of statistical evidence
text, January 2012
- Friel, Nial; Hurn, Merrilee; Wyse, Jason
- arXiv
Summary statistics from training images as prior information in probabilistic inversion
text, January 2017
- Lochbühler, T.; Vrugt, J. A.; Sadegh, M.
- arXiv
Image synthesis with graph cuts: a fast model proposal mechanism in probabilistic inversion
text, January 2017
- Zahner, T.; Lochbühler, T.; Mariethoz, G.
- arXiv
Training-image based geostatistical inversion using a spatial generative adversarial neural network
text, January 2017
- Laloy, Eric; Hérault, Romain; Jacques, Diederik
- arXiv
The Controlled Thermodynamic Integral for Bayesian Model Evidence Evaluation
text, January 2016
- Oates, Chris J.; Papamarkou, Theodore; Girolami, Mark
- Taylor & Francis
Training images for the MADE site
dataset, January 2019
- Brunetti, Carlotta; Linde, Niklas; Bianchi, Marco
- Zenodo
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