Inferring geostatistical properties of hydraulic conductivity fields from saline tracer tests and equivalent electrical conductivity time-series
We use Approximate Bayesian Computation and the Kullback–Leibler divergence measure to quantify to what extent horizontal and vertical equivalent electrical conductivity time-series observed during tracer tests constrain the 2-D geostatistical parameters of multivariate Gaussian log-hydraulic conductivity fields. Considering a perfect and known relationship between salinity and electrical conductivity at the point scale, we find that the horizontal equivalent electrical conductivity time-series best constrain the geostatistical properties. The variance, controlling the spreading rate of the solute, is the best constrained geostatistical parameter, followed by the integral scales in the vertical direction. We find that horizontally layered models with moderate to high variance have the best resolved parameters. Since the salinity field at the averaging scale (e.g., the model resolution in tomograms) is typically non-ergodic, our results serve as a starting point for quantifying uncertainty due to small-scale heterogeneity in laboratory-experiments, tomographic results and hydrogeophysical inversions involving DC data.
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Format: | artículo biblioteca |
Language: | English |
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Elsevier
2020-12
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Subjects: | Equivalent electrical conductivity, Approximate Bayesian computation, Geostatistics, Solute spreading and mixing, Hydrogeophysics, |
Online Access: | http://hdl.handle.net/10261/221036 http://dx.doi.org/10.13039/501100000780 |
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dig-idaea-es-10261-2210362020-10-11T01:14:01Z Inferring geostatistical properties of hydraulic conductivity fields from saline tracer tests and equivalent electrical conductivity time-series Fernandez Visentini, Alejandro Linde, Niklas Le Borgne, Tanguy Dentz, Marco European Commission Dentz, Marco [0000-0002-3940-282X] Equivalent electrical conductivity Approximate Bayesian computation Geostatistics Solute spreading and mixing Hydrogeophysics We use Approximate Bayesian Computation and the Kullback–Leibler divergence measure to quantify to what extent horizontal and vertical equivalent electrical conductivity time-series observed during tracer tests constrain the 2-D geostatistical parameters of multivariate Gaussian log-hydraulic conductivity fields. Considering a perfect and known relationship between salinity and electrical conductivity at the point scale, we find that the horizontal equivalent electrical conductivity time-series best constrain the geostatistical properties. The variance, controlling the spreading rate of the solute, is the best constrained geostatistical parameter, followed by the integral scales in the vertical direction. We find that horizontally layered models with moderate to high variance have the best resolved parameters. Since the salinity field at the averaging scale (e.g., the model resolution in tomograms) is typically non-ergodic, our results serve as a starting point for quantifying uncertainty due to small-scale heterogeneity in laboratory-experiments, tomographic results and hydrogeophysical inversions involving DC data. This work has received funding from the European Union’s Horizon 2020 research and innovation program under the Marie Sklodowska - Curie grant agreement number 722028 (ENIGMA ITN). The authors would like to thank Jesús Carrera for enriching discussions motivating this work and Jürg Hunziker for sharing his code for implementing the circulant embedding technique. Peer reviewed 2020-10-10T17:15:40Z 2020-10-10T17:15:40Z 2020-12 artículo http://purl.org/coar/resource_type/c_6501 Advances in Water Resources 146: 103758 (2020) http://hdl.handle.net/10261/221036 10.1016/j.advwatres.2020.103758 http://dx.doi.org/10.13039/501100000780 en #PLACEHOLDER_PARENT_METADATA_VALUE# info:eu-repo/grantAgreement/EC/H2020/722028 Publisher's version https://doi.org/10.1016/j.advwatres.2020.103758 Sí open Elsevier |
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Equivalent electrical conductivity Approximate Bayesian computation Geostatistics Solute spreading and mixing Hydrogeophysics Equivalent electrical conductivity Approximate Bayesian computation Geostatistics Solute spreading and mixing Hydrogeophysics |
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Equivalent electrical conductivity Approximate Bayesian computation Geostatistics Solute spreading and mixing Hydrogeophysics Equivalent electrical conductivity Approximate Bayesian computation Geostatistics Solute spreading and mixing Hydrogeophysics Fernandez Visentini, Alejandro Linde, Niklas Le Borgne, Tanguy Dentz, Marco Inferring geostatistical properties of hydraulic conductivity fields from saline tracer tests and equivalent electrical conductivity time-series |
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We use Approximate Bayesian Computation and the Kullback–Leibler divergence measure to quantify to what extent horizontal and vertical equivalent electrical conductivity time-series observed during tracer tests constrain the 2-D geostatistical parameters of multivariate Gaussian log-hydraulic conductivity fields. Considering a perfect and known relationship between salinity and electrical conductivity at the point scale, we find that the horizontal equivalent electrical conductivity time-series best constrain the geostatistical properties. The variance, controlling the spreading rate of the solute, is the best constrained geostatistical parameter, followed by the integral scales in the vertical direction. We find that horizontally layered models with moderate to high variance have the best resolved parameters. Since the salinity field at the averaging scale (e.g., the model resolution in tomograms) is typically non-ergodic, our results serve as a starting point for quantifying uncertainty due to small-scale heterogeneity in laboratory-experiments, tomographic results and hydrogeophysical inversions involving DC data. |
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European Commission |
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European Commission Fernandez Visentini, Alejandro Linde, Niklas Le Borgne, Tanguy Dentz, Marco |
format |
artículo |
topic_facet |
Equivalent electrical conductivity Approximate Bayesian computation Geostatistics Solute spreading and mixing Hydrogeophysics |
author |
Fernandez Visentini, Alejandro Linde, Niklas Le Borgne, Tanguy Dentz, Marco |
author_sort |
Fernandez Visentini, Alejandro |
title |
Inferring geostatistical properties of hydraulic conductivity fields from saline tracer tests and equivalent electrical conductivity time-series |
title_short |
Inferring geostatistical properties of hydraulic conductivity fields from saline tracer tests and equivalent electrical conductivity time-series |
title_full |
Inferring geostatistical properties of hydraulic conductivity fields from saline tracer tests and equivalent electrical conductivity time-series |
title_fullStr |
Inferring geostatistical properties of hydraulic conductivity fields from saline tracer tests and equivalent electrical conductivity time-series |
title_full_unstemmed |
Inferring geostatistical properties of hydraulic conductivity fields from saline tracer tests and equivalent electrical conductivity time-series |
title_sort |
inferring geostatistical properties of hydraulic conductivity fields from saline tracer tests and equivalent electrical conductivity time-series |
publisher |
Elsevier |
publishDate |
2020-12 |
url |
http://hdl.handle.net/10261/221036 http://dx.doi.org/10.13039/501100000780 |
work_keys_str_mv |
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