[en] Recent developments in uncertainty quantification show that a full inversion of model parameters is not always necessary to forecast the range of uncertainty of a specific prediction in Earth sciences. Instead, Bayesian evidential learning (BEL) uses a set of prior models to derive a direct relationship between data and prediction. This recent technique has been mostly demonstrated for synthetic cases. This paper demonstrates the ability of BEL to predict the posterior distribution of temperature in an alluvial aquifer during a cyclic heat tracer push-pull test. The data set corresponds to another push-pull experiment with different characteristics (amplitude, duration, number of cycles). This experiment constitutes the first demonstration of BEL on real data in a hydrogeological context. It should open the range of future applications of the framework for both scientists and practitioners.
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Bibliography
Aquilina L, Vergnaud-Ayraud V, Les Landes AA, Pauwels H, Davy P, Pételet-Giraud E, Labasque T, Roques C, Chatton E, Bour O, Ben Maamar S, Dufresne A, Khaska M, La Salle CLG, Barbecot F (2015) Impact of climate changes during the last 5 million years on groundwater in basement aquifers. Sci Rep 5:14132. 10.1038/srep14132
Bowman AW, Azzalini A (1997) Applied smoothing techniques for data analysis, Oxford Statistical Science Series. Oxford University Press, New York
Brouyère S (2001) Etude et modélisation du transport et du piégeage des solutés en milieu souterrain variablement saturé [Study and modelling of transport and retardation of solutes in variably saturated media]. PhD Thesis, University of Liege, Liege, Belgium
Chen M, Izady A, Abdalla OA, Amerjeed M (2018) A surrogate-based sensitivity quantification and Bayesian inversion of a regional groundwater flow model. J Hydrol 557:826–837. 10.1016/j.jhydrol.2017.12.071
Fenwick D, Scheidt C, Caers J (2014) Quantifying asymmetric parameter interactions in sensitivity analysis: application to reservoir modeling. Math Geosci 46:493–511. 10.1007/s11004-014-9530-5
Goovaerts P (1997) Geostatistics for natural resources evaluation. Applied Geostatistics Series. Oxford University Press, New York
Haggerty R, Schroth MH, Istok JD (1998) Simplified method of “push-pull” test data analysis for determining in situ reaction rate coefficients. Ground Water 36:314–324. 10.1111/j.1745-6584.1998.tb01097.x
Hermans T (2017) Prediction-focused approaches: an opportunity for hydrology. Groundwater 55:683–687
Hermans T, Irving J (2017) Facies discrimination with ERT using a probabilistic methodology: effect of sensitivity and regularization. Near Surf Geophys 15:13–25
Hermans T, Nguyen F, Caers J (2015a) Uncertainty in training image-based inversion of hydraulic head data constrained to ERT data: workflow and case study. Water Resour Res 51:5332–5352. 10.1002/2014WR016460
Hermans T, Wildemeersch S, Jamin P, Orban P, Brouyère S, Dassargues A, Nguyen F (2015b) Quantitative temperature monitoring of a heat tracing experiment using cross-borehole ERT. Geothermics 53:14–26. 10.1016/j.geothermics.2014.03.013
Hermans T, Oware EK, Caers J (2016) Direct prediction of spatially and temporally varying physical properties from time-lapse electrical resistance data. Water Resour Res 52:7262–7283
Hermans T, Nguyen F, Klepikova M, Dassargues A, Caers J (2018) Uncertainty quantification of medium-term heat storage from short-term geophysical experiments using Bayesian evidential learning. Water Resour Res 54:2931–2948. 10.1002/2017WR022135
Hou Z, Rubin Y (2005) On minimum relative entropy concepts and prior compatibility issues in vadose zone inverse and forward modeling. Water Resour Res 41:WR004082. 10.1029/2005WR004082
Jamin P, Brouyère S (2018) Monitoring transient groundwater fluxes using the finite volume point dilution method. J Contam Hydrol. 10.1016/j.jconhyd.2018.07.005
Kammen DM, Sunter DA (2016) City-integrated renewable energy for urban sustainability. Science 352:922–928
Klepikova M, Wildemeersch S, Hermans T, Jamin P, Orban P, Nguyen F, Brouyère S, Dassargues A (2016) Heat tracer test in an alluvial aquifer: field experiment and inverse modelling. J Hydrol 540:812–823. 10.1016/j.jhydrol.2016.06.066
Krzanowski WJ (2000) Principles of multivariate analysis: A user’s perspective, Oxford Statistical Series 22, Revised Edition. Oxford University Press, New York
Lesparre N, Robert T, Nguyen F, Boyle A, Hermans T (2019) 4D electrical resistivity tomography (ERT) for aquifer thermal energy storage monitoring. Geothermics 77:368–382
MacDonald AM, Bonsor HC, Ahmed KM, Burgess WG, Basharat M, Calow RC, Dixit A, Foster SSD, Gopal K, Lapworth DJ, Lark RM, Moench M, Mukherjee A, Rao MS, Shamsudduha M, Smith L, Taylor RG, Tucker J, van Steenbergen F, Yadav SK (2016) Groundwater quality and depletion in the Indo-Gangetic Basin mapped from in situ observations. Nat Geosci 9:762–766. 10.1038/ngeo2791
Paradis CJ, McKay LD, Perfect E, Istok JD, Hazen TC (2018) Push-pull tests for estimating effective porosity: expanded analytical solution and in situ application. Hydrogeol J 26:381–393. 10.1007/s10040-017-1672-3
Park J, Yang G, Satija A, Scheidt C, Caers J (2016) DGSA: A Matlab toolbox for distance-based generalized sensitivity analysis of geoscientific computer experiments. Comput Geosci 97:15–29. 10.1016/j.cageo.2016.08.021
Razavi S, Tolson BA, Burn DH (2012) Review of surrogate modeling in water resources. Water Resour Res 48:W07401. 10.1029/2011WR011527
Réseau National de Sites Hydrogéologiques (2019) Network of hydrogeological research sites: ENIGMA – Data Hermalle. http://hplus.ore.fr/en/enigma/data-hermalle. Accessed 30 June 2018
Satija A, Caers J (2015) Direct forecasting of subsurface flow response from non-linear dynamic data by linear least-squares in canonical functional principal component space. Adv Water Resour 77:69–81. 10.1016/j.advwatres.2015.01.002
Satija A, Scheidt C, Li L, Caers J (2017) Direct forecasting of reservoir performance using production data without history matching. Comput Geosci 21:315–333. 10.1007/s10596-017-9614-7
Scheidt C, Jeong C, Mukerji T, Caers J (2015a) Probabilistic falsification of prior geologic uncertainty with seismic amplitude data: application to a turbidite reservoir case. Geophysics 80:M89–M100. 10.1190/geo2015-0084.1
Scheidt C, Renard P, Caers J (2015b) Prediction-focused subsurface modeling: investigating the need for accuracy in flow-based inverse modeling. Math Geosci 47:173–191. 10.1007/s11004-014-9521-6
Scheidt C, Li L, Caers J (2018) Quantifying uncertainty in subsurface systems, Geophysical Monograph Series. Wiley, Hoboken, NJ and AGU, Washington, DC
Therrien R, McLaren R, Sudicky E, Panday S (2010) HydroGeoSphere: a three-dimensional numerical model describing fully-integrated subsurface and surface flow and solute transport. Groundwater Simulation Group, Waterloo, ON
Vandenbohede A, Louwyck A, Lebbe L (2009) Conservative solute versus heat transport in porous media during push-pull tests. Transp Porous Media 76:265–287. 10.1007/s11242-008-9246-4
Wildemeersch S, Jamin P, Orban P, Hermans T, Klepikova M, Nguyen F, Brouyère S, Dassargues A (2014) Coupling heat and chemical tracer experiments for estimating heat transfer parameters in shallow alluvial aquifers. J Contam Hydrol 169:90–99. 10.1016/j.jconhyd.2014.08.001
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