Entropy analysis of temperature characteristics for leakage investigation

References

• Bair, E. S., & Parizek, R. R. (1978). Detection of permeability variations by a shallow geothermal technique. Ground Water, 16, 254–263.10.1111/gwat.1978.16.issue-4
   Google Scholar
• Brouyère, S., Batlle-Aguilar, J., Goderniaux, P., & Dassargues, A. (2008). A new tracer technique for monitoring groundwater fluxes: The Finite Volume Point Dilution Method. Journal of Contaminant Hydrology, 95, 121–140.10.1016/j.jconhyd.2007.09.001
   PubMed Web of Science ®Google Scholar
• Brunsell, N. A. (2010). A multiscale information theory approach to assess spatial–temporal variability of daily precipitation. Journal of Hydrology, 385, 165–172.10.1016/j.jhydrol.2010.02.016
   Web of Science ®Google Scholar
• Chen, J. S., Fan, Z. C., & Dong, H. Z. (2006). Detecting the dam-detouring leakage passage in the left dam abutment of Douhe reservoir with the method of heat source. Hydrogeology and Engineering Geology, 33, 61–65 (in Chinese with English Abstract).
   Google Scholar
• Chen, J. S., Li, X. W., & Zhao, W. B. (2000). Study on piping leakage mechanism. Chinese Journal of Hydraulic Engineering, 9, 48–54. (In Chinese with English Abstract).
   Google Scholar
• Chen, L., Zhao, J., Li, G., Zhan, L., & Lei, W. (2013). Experimental study of seawall piping under water level fluctuation. European Journal of Environmental and Civil Engineering, 17(suppl. 1), s1–s22.10.1080/19648189.2013.834582
   Web of Science ®Google Scholar
• Chen, L., Zhao, J., Zhao, T., Zhao, X., Huang, D., & Lu, L. (2015). Experimental study of low temperature water seepage detection model of embankment dam. Fresenius Environmental Bulletin, 24, 1131–1141.
   Web of Science ®Google Scholar
• Chiu, C. L. (1987). Entropy and probability concepts in hydraulics. Journal of Hydraulic Engineering, 113, 583–599.10.1061/(ASCE)0733-9429(1987)113:5(583)
   Web of Science ®Google Scholar
• Chiu, C. L. (1988). Entropy and 2‐D velocity distribution in open channels. Journal of Hydraulic Engineering, 114, 738–756.10.1061/(ASCE)0733-9429(1988)114:7(738)
   Web of Science ®Google Scholar
• Chiu, C. L. (1989). Velocity distribution in open channel flow. Journal of Hydraulic Engineering, 115, 576–594.10.1061/(ASCE)0733-9429(1989)115:5(576)
   Web of Science ®Google Scholar
• Chiu, C. L. (1991). Application of entropy concept in open‐channel flow study. Journal of Hydraulic Engineering, 117, 615–628.10.1061/(ASCE)0733-9429(1991)117:5(615)
   Web of Science ®Google Scholar
• Contreras, I. A., & Hernández, S. H. (2010). Techniques for prevention and detection of leakage in dams and reservoirs. Retrieved from http://ussdams.com/proceedings/2010Proc/785-814.pdf
   Google Scholar
• Di, Q., & Wang, M. (2010). Determining areas of leakage in the Da Ye Dam using multi-electrode resistivity. Bulletin of Engineering Geology and the Environment, 69, 105–109.10.1007/s10064-009-0222-1
   Web of Science ®Google Scholar
• Di Prinzio, M., Bittelli, M., Castellarin, A., & Pisa, P. R. (2010). Application of GPR to the monitoring of river embankments. Journal of Applied Geophysics, 71, 53–61.10.1016/j.jappgeo.2010.04.002
   Web of Science ®Google Scholar
• Dong, H., Chen, J., & Li, X. (2016). Delineation of leakage pathways in an earth and rockfill dam using multi-tracer tests. Engineering Geology, 212, 136–145.10.1016/j.enggeo.2016.08.003
   Web of Science ®Google Scholar
• Fontana, N., Marini, G., & Paola, F. D. (2013). Experimental assessment of a 2-D entropy-based model for velocity distribution in open channel flow. Entropy, 15, 988–998.10.3390/e15030988
   Web of Science ®Google Scholar
• Greco, M., & Mirauda, D. (2014). Entropy parameter estimation in large-scale roughness open channel. Journal of Hydrologic Engineering, 20, 04014047.
   Web of Science ®Google Scholar
• Ikard, S. J., Revil, A., Schmutz, M., Karaoulis, M., Jardani, A., & Mooney, M. (2014). Characterization of focused seepage through an earthfill dam using geoelectrical methods. Groundwater, 52, 952–965.10.1111/gwat.2014.52.issue-6
   PubMed Web of Science ®Google Scholar
• Jardani, A., & Revil, A. (2009). Stochastic joint inversion of temperature and self-potential data. Geophysical Journal International, 179, 640–654.10.1111/gji.2009.179.issue-1
   Web of Science ®Google Scholar
• Jaynes, E. T. (1957a). Information theory and statistical mechanics. Physical Review, 106, 620–630.10.1103/PhysRev.106.620
   Web of Science ®Google Scholar
• Jaynes, E. T. (1957b). Information theory and statistical mechanics II. Physical Review, 108, 171–190.10.1103/PhysRev.108.171
   Web of Science ®Google Scholar
• Jaynes, E. T. (1982). On the rationale of maximum-entropy methods. Proceedings of the IEEE, 70, 939–952.10.1109/PROC.1982.12425
   Web of Science ®Google Scholar
• Lautz, L. K., & Ribaudo, R. E. (2012). Scaling up point-in-space heat tracing of seepage flux using bed temperatures as a quantitative proxy. Hydrogeology Journal, 20, 1223–1238.10.1007/s10040-012-0870-2
   Web of Science ®Google Scholar
• Li, C., Singh, V. P., & Mishra, A. K. (2012). Entropy theory-based criterion for hydrometric network evaluation and design: Maximum information minimum redundancy. Water Resources Research, 48, W05521.
   Web of Science ®Google Scholar
• Marini, G., De Martino, G., Fontana, N., Fiorentino, M., & Singh, V. P. (2011). Entropy approach for 2D velocity distribution in open-channel flow. Journal of Hydraulic Research, 49, 784–790.10.1080/00221686.2011.635889
   Web of Science ®Google Scholar
• Martino, G. D., Fontana, N., Marini, G., & Singh, V. P. (2012). Variability and trend in seasonal precipitation in the continental United States. Journal of Hydrologic Engineering, 18, 630–640.
   Web of Science ®Google Scholar
• Masoumi, F., & Kerachian, R. (2008). Assessment of the groundwater salinity monitoring network of the Tehran region: Application of the discrete entropy theory. Water Science & Technology, 58, 765–771.10.2166/wst.2008.674
   PubMed Web of Science ®Google Scholar
• Mohammadi, Z., & Raeisi, E. (2007). Hydrogeological uncertainties in delineation of leakage at karst dam sites, the Zagros Region, Iran. Journal of Cave and Karst Studies, 69, 305–317.
   Web of Science ®Google Scholar
• Mozafari, M., Raeisi, E., & Zare, M. (2012). Water leakage paths in the Doosti Dam. Environmental Earth Sciences, 65, 103–117.10.1007/s12665-011-1069-x
   Web of Science ®Google Scholar
• Papalexiou, S. M., & Koutsoyiannis, D. (2012). Entropy based derivation of probability distributions: A case study to daily rainfall. Advances in Water Resources, 45, 51–57.10.1016/j.advwatres.2011.11.007
   Web of Science ®Google Scholar
• Piqueras, J. M., Pérez, E. S., & Menéndez-Pidal, I. (2012). Water seepage beneath dams on soluble evaporite deposits: A laboratory and field study (Caspe Dam, Spain). Bulletin of Engineering Geology and the Environment, 71, 201–213.10.1007/s10064-011-0379-2
   Web of Science ®Google Scholar
• Rajsekhar, D., Singh, V. P., & Mishra, A. K. (2015). Integrated drought causality, hazard, and vulnerability assessment for future socioeconomic scenarios: An information theory perspective. Journal of Geophysical Research: Atmospheres, 120, 6346–6378.
   Web of Science ®Google Scholar
• Rau, G. C., Andersen, M. S., McCallum, A. M., & Acworth, R. I. (2010). Analytical methods that use natural heat as a tracer to quantify surface water–groundwater exchange, evaluated using field temperature records. Hydrogeology Journal, 18, 1093–1110.10.1007/s10040-010-0586-0
   Web of Science ®Google Scholar
• Sato, A. H. (2008). Application of spectral methods for high-frequency financial data to quantifying states of market participants. Physica A: Statistical Mechanics and its Applications, 387, 3960–3966.10.1016/j.physa.2008.01.044
   Web of Science ®Google Scholar
• Shannon, C. E. (1948). A mathematical theory of communication. Bell System Technical Journal, 27, 379–443.10.1002/bltj.1948.27.issue-3
   Web of Science ®Google Scholar
• Singh, V. P. (2000). The entropy theory as a tool for modelling and decision-making in environmental and water resources. Water SA, 26 (1), 1–12.
   Web of Science ®Google Scholar
• Singh, V. P., Marini, G., & Fontana, N. (2013). Derivation of 2D power-law velocity distribution using entropy theory. Entropy, 15, 1221–1231.10.3390/e15041221
   Web of Science ®Google Scholar
• Singh, V. P. (2010). Entropy theory for derivation of infiltration equations. Water resources research, 46, W03527.
   PubMed Web of Science ®Google Scholar
• Singh, V. P., & Rajagopal, A. K. (1987). Some recent advances in application of the principle of maximum entropy (POME) in hydrology. IAHS Publication, 164, 353–364.
   Google Scholar
• Singh, V. P., Rajagopal, A. K., & Singh, K. (1986). Derivation of some frequency distributions using the principle of maximum entropy (POME). Advances in Water Resources, 9, 91–106.10.1016/0309-1708(86)90015-1
   Google Scholar
• Sjödahl, P., Dahlin, T., Johansson, S., & Loke, M. H. (2008). Resistivity monitoring for leakage and internal erosion detection at Hällby embankment dam. Journal of Applied Geophysics, 65, 155–164.10.1016/j.jappgeo.2008.07.003
   Web of Science ®Google Scholar
• Wang, T., Chen, J., & Li, L. (2016). Entropy analysis of stable isotopes in precipitation: Tracing the monsoon systems in China. Scientific Reports, 6, 30389.
   PubMed Web of Science ®Google Scholar
• Wang, T., Chen, J. S., Wang, T., & Wang, S. (2015). Entropy weight-set pair analysis based on tracer techniques for dam leakage investigation. Natural Hazards, 76, 747–767.10.1007/s11069-014-1515-7
   Web of Science ®Google Scholar