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      A Comparison of Different Methods to Estimate the Effective Spatial Resolution of FO-DTS Measurements Achieved during Sandbox Experiments

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          Abstract

          For many environmental applications, the interpretation of fiber-optic Raman distributed temperature sensing (FO-DTS) measurements is strongly dependent on the spatial resolution of measurements, especially when the objective is to detect temperature variations over small scales. Here, we propose to compare three different and complementary methods to estimate, in practice, the “effective” spatial resolution of DTS measurements: The classical “90% step change” method, the correlation length estimated from experimental semivariograms, and the derivative method. The three methods were applied using FO-DTS measurements achieved during sandbox experiments using two DTS units having different spatial resolutions. Results show that the value of the spatial resolution estimated using a step change depends on both the effective spatial resolution of the DTS unit and on heat conduction induced by the high thermal conductivity of the cable. The correlation length method provides an estimate much closer to the value provided by the manufacturers, representative of the effective spatial resolutions along cable sections where temperature gradients are small or negligible. Thirdly, the application of the derivative method allows for verifying the representativeness of DTS measurements all along the cable, by localizing sections where measurements are representative of the effective temperature. We finally show that DTS measurements could be validated in sandbox experiments, when using devices with finer spatial resolution.

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          Heat as a ground water tracer.

          Heat carried by ground water serves as a tracer to identify surface water infiltration, flow through fractures, and flow patterns in ground water basins. Temperature measurements can be analyzed for recharge and discharge rates, the effects of surface warming, interchange with surface water, hydraulic conductivity of streambed sediments, and basin-scale permeability. Temperature data are also used in formal solutions of the inverse problem to estimate ground water flow and hydraulic conductivity. The fundamentals of using heat as a ground water tracer were published in the 1960s, but recent work has significantly expanded the application to a variety of hydrogeological settings. In recent work, temperature is used to delineate flows in the hyporheic zone, estimate submarine ground water discharge and depth to the salt-water interface, and in parameter estimation with coupled ground water and heat-flow models. While short reviews of selected work on heat as a ground water tracer can be found in a number of research papers, there is no critical synthesis of the larger body of work found in the hydrogeological literature. The purpose of this review paper is to fill that void and to show that ground water temperature data and associated analytical tools are currently underused and have not yet realized their full potential.
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                Author and article information

                Journal
                Sensors (Basel)
                Sensors (Basel)
                sensors
                Sensors (Basel, Switzerland)
                MDPI
                1424-8220
                20 January 2020
                January 2020
                : 20
                : 2
                : 570
                Affiliations
                [1 ]Univ Rennes, CNRS, Géosciences Rennes, UMR 6118, 35000 Rennes, France; nicolas.lavenant@ 123456univ-rennes1.fr (N.L.); behzad.pouladi@ 123456univ-rennes1.fr (B.P.); laurent.longuevergne@ 123456univ-rennes1.fr (L.L.)
                [2 ]IC2MP, Univ. Poitiers, CNRS UMR 7285, 86022 Poitiers, France; gilles.porel@ 123456univ-poitiers.fr (G.P.); benoit.nauleau@ 123456univ-poitiers.fr (B.N.)
                Author notes
                [* ]Correspondence: nataline.simon@ 123456univ-rennes1.fr (N.S.); olivier.bour@ 123456univ-rennes1.fr (O.B.); Tel.: +33-223236510 (O.B.)
                Author information
                https://orcid.org/0000-0002-5193-0393
                https://orcid.org/0000-0003-3169-743X
                Article
                sensors-20-00570
                10.3390/s20020570
                7014538
                31968664
                d054bf29-a2e5-4352-aab9-1cf2a6436a6f
                © 2020 by the authors.

                Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license ( http://creativecommons.org/licenses/by/4.0/).

                History
                : 06 December 2019
                : 19 January 2020
                Categories
                Article

                Biomedical engineering
                fiber-optic distributed temperature sensing,spatial resolution,laboratory experiment,active-dts method

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