Abstract
Purpose
Determination of reservoir volume has been used in the calculation of sedimentation, hydrodynamic modelling, and dam safety assessment, among others, and the method used as well as its associated error play an important role in the quality of these studies. This study assessed the accuracy of reservoir volume calculations based on different standards for the definition of the spacing between bathymetric range lines. A technique for terrain modelling and a method for determining the survey accuracy are also proposed.
Materials and methods
The reference reservoir volume was based on highly detailed bathymetry (10 m resolution). Seven different spacings were selected, which generated 99 separate bathymetric data sets. For each data set, the volume was calculated based on a digital terrain model according to the usual model (triangular irregular network (TIN)) and according to the insertion of mesh points (IMP) method. This was then compared with the reference volume, and the accuracy of each survey was determined.
Results and discussion
Utilization of a highly detailed and reliable bathymetric survey allowed for the assessment of the associated error in each of the bathymetric data sets, as well as of the spacing standards analyzed. The accuracy of the standards analyzed using TIN modeling ranged from 0.31% to 14.40% (30 and 300 m, respectively). The high errors are attributed to the limitation of the TIN in representing regions near shores, producing incorrect shallow depth readings, resulting in a lower calculated volume than the real volume. IMP modeling exhibited great improvement in performance over the standard TIN (i.e., for 300 m accuracy of 5.51% for IMP and 14.40% for standard TIN), and in none of the cases were the generated volumes greater than the reference volume.
Conclusions
The IMP method proved to be consistent, improving quality of the data while reducing effort in field work. The low accuracies found showed that even surveys following the widely accepted standards contain errors of a magnitude that cannot be ignored. Thus, knowing and evaluating the survey accuracy is of fundamental importance. Definition of standard spacing for reservoirs proved to be unfeasible. This must be defined on a case-to-case basis, considering the error acceptable for the purpose of the survey.
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References
ANA (2011) Orientações para atualização das curvas cota x área x volume. Brazilian Water Regulatory Agency (ANA), Brasília
Barros N, Cole JJ, Tranvik LJ, Prairie YT, Bastviken D, Huszar VLM, del Giorgio P, Roland F (2011) Carbon emission from hydroelectric reservoirs linked to reservoir age and latitude. Nat Geosci 4:593–596. doi:10.1038/ngeo1211
Blanton JO (1982) Procedures for monitoring reservoir sedimentation. Bureau of Reclamation, Denver
Bruce LC, Hamilton D, Imberger J, Gal G, Gophen M, Zohary T, Hambright KD (2006) A numerical simulation of the role of zooplankton in C, N and P cycling in Lake Kinneret, Israel. Ecol Model 193:412–436. doi:10.1016/j.ecolmodel.2005.09.008
Carvalho NO (1999) Reservoir sedimentation effects on hydropower generation—a case study. In: Proceedings of 28th IAHR congress. Grazz, Austria, pages
Carvalho NO, Filizola Junior NP, Santos PMC, Lima JEFW (2000) Reservoir sedimentation guideline. Brazilian Electricity Regulatory Agency-ANEEL, Hydrological Studies and Information Department-SIH. Brasília, Brazil. URL: http://www.aneel.gov.br/biblioteca/downloads/livros/Guia_ava_engl.pdf. Accessed in 13 December 2012
Chung SW, Hipsey MR, Imberger J (2009) Modelling the propagation of turbid density inflows into a stratified lake: Daecheong Reservoir, Korea. Environ Model Softw 24:1467–1482. doi:10.1016/j.envsoft.2009.05.016
Eakin HM (1939) Silting of reservoirs. Technical bulletin no 524. United States Department of Agriculture. Revised by Brown, C.B., U. S. Government Printing Office, Washington
Estigoni MV (2012) Influência da quantidade e disposição de dados na modelação de terrenos aplicada a batimetria de reservatórios. Estudos de caso: UHE Três Irmãos–SP e UHE Chavantes–SP. Master degree dissertation. University of São Paulo, Brazil
Estigoni MV, Matos AJS, Mauad FF (2010) Caparison between two bathymetric survey methods to estimate sediment accumulation in the Lobo Reservoir. Australia’s National Water Conference and Exhibition–Ozwater’10, Brisbane
Felgueiras CA, Goodchild MF (1995) An incremental constrained Delaunay triangulation. Technical Report 95–2, National Center for Geographic Information and Analysis, California
Ferrari RL (2006) Reconnaissance techniques for reservoir surveys. U. S. Department of the Interior, Bureau of Reclamation, Denver
Ferrari R, Collins K (2006) Reservoir survey and data analysis. In: Yang CT (ed) Erosion and sedimentation manual. U. S. Department of the Interior, Bureau of Reclamation, Denver
Filstrup CT, Lind OT (2010) Sediment transport mechanisms influencing the spatiotemporal resuspension patterns in a shallow, polymitic reservoir. Lake Reserv Manag 26:85–94. doi:10.1080/07438141.2010.490771
Furnans J, Austin B (2008) Hydrographic survey methods for determining reservoir volume. Environ Model Softw 23:139–146. doi:10.1016/j.envsoft.2007.05.011
Gebregiorgis AS, Hossain F (2012) Hydrological risk assessment of old dams: case study on Wilson Dam of Tennessee River Basin. J Hydrol Eng 17:201–212
Grigorescu SD, Cepisca RC, Jula N (2007) Trend of standards for hydrographic survey. In: Proceedings of the 5th IASME/WSEAS Int. Conference on Heat Transfer, Thermal Engineering and Environment, Athens
Hakanson L (1978) Optimization of lake hydrographic surveys. Water Resour Res 14:545–560. doi:10.1029/WR014i004p00545
Haregeweyn N, Melesse B, Tsunekawa A, Tsubo M, Meshesha D, Balana BB (2012) Reservoir sedimentation and its mitigating strategies: a case study of Angereb reservoir (NW Ethiopia). J Soils Sediments 12:291–305. doi:10.1007/s11368-011-0447-z
Heinemann HG, Dvorak VI (1963) Improved volumetric survey and computation procedures for small reservoirs. In: Proceedings of the Federal Inter-Agency Sedimentation Conference 1963. Miscellaneous Publication No 970. U. S. Department of Agriculture, U. S. Government Printing Office, Washington, pp 845–856
ICOLD (1989) Sedimentation control of reservoirs/Maîtrise de l’alluvionnement des retunues. ICOLD–International Commission on Large Dams Bulletin 67, Paris
IHO (2011) Manual on hydrography. IHO-International Hydrographic Organization publication C-13. Published by the International Hydrographic Bureau, Monaco
Kidner DB, Ware JM, Sparkes AJ, Jones CB (2000) Multiscale terrain and topographic modelling with the implicit TIN. T GIS 4:361–378. doi:10.1111/1467-9671.00062
KWO (2007) Reservoir roadmap. KWO-Kansas Water Office. Kansas, USA. URL: http://www.kwo.org/reservoirs/ReservoirRoadmap/Rpt_Reservoir_Roadmap_Volume_I.pdf. Accessed in 12 March 2012
Lee PS, You JY (2011) The risk analysis of long term impact to reservoir under extreme hydrologic events—Shihmen Reservoir a Case Study. World Environ Water Resour Congr 2011:1237–1246. doi:10.1061/41173(414)128
Marinha do Brasil (2011) NORMAM 25–Normas da Autoridade Marítima para Levantamentos Hidrográficos. Marinha do Brasil-Brazilian Navy, Brazil
Matos AJS (2012) Melhorias qualitativas na modelagem de levantamentos batimétricos em reservatórios por meio da ferramenta computacional “CAV-NH”. 125p. PhD Thesis. University of São Paulo, Brazil
Morris GL, Fan J (1998) Reservoir sedimentation handbook. McGraw-Hill Book Co., New York, NY. Electronic version ver. 1.04 December 2010. ISBN: 0-07-043302-X
SRES (1980) Optimistic density of ranges for sedimentation survey. Sanmenxia Reservoir Experiment Station, Brazil
Tranvik LJ, Downing JA, Cotner JB, Loiselle SA, Striegl RG, Ballatore TJ, Dillon P, Finlay K, Fortino K, Knoll LB, Kortelainen PL, Kutser T, Larsen S, Laurion I, Leech DM, McCallister SL, McKnight DM, Melack JM, Overholt E, Porter JA, Prairie Y, Renwick WH, Roland F, Sherman BS, Schindler DW, Sobek S, Tremblay A, Vanni MJ, Verschoor AM, von Wachenfeldt E, Weyhenmeyera GA (2009) Lakes and reservoirs as regulators of carbon cycling and climate. Limnol Oceanogr 54:2298–2314. doi:10.4319/lo.2009.54.6_part_2.2298
Tsai VJD (1993) Delaunay triangulations in TIN creation: an overview and a linear-time algorithm. Int J Geogr Inf Sci 7:501–524. doi:10.1080/02693799308901979
USACE (2002) Reservoir sedimentation surveys. In: Engineering and design. Hydrographic surveying. Engineer Manual No 1110-2-1003. USACE-U.S. Army Corps of Engineers, Washington
Vanoni VA (1977) Sedimentation engineering. ASCE-American Society of Civil Engineers, New York
Wilson GL, Richards JM (2006) Procedural documentation and accuracy assessment of bathymetric maps and area/capacity tables for small reservoirs. Scientific investigations report 2006–5208. U.S. Department of the Interior, U.S. Geological Survey, Reston, Virginia, 24 p. URL: http://pubs.usgs.gov/sir/2006/5208/pdf/SIR-06-5208.pdf. Accessed in 23 May 2012
Xiaoqing Y (2003) Manual on sediment management and measurement. WMO-World Meteorological Organization: Operational hydrology report No. 47. Geneva, Switzerland, Secretariat of the World Meteorological Organization. URL: http://www.whycos.org/whycos/sites/default/files/public/pdf/948_e.pdf. Accessed 25 July 2012
Yang J (2006) Chapter 1: Introduction, In: Yang CT (Org.), Erosion and Sedimentation Manual, U. S. Department of the Interior, Bureau of Reclamation, Denver – Colorado, USA.
Yuqian L (1989) Manual on operational methods for the measurement of sediment transport. World Meteorological Organization (WMO), Geneva
Acknowledgments
We thank the Geological Service of Brazil–CPRM, the National Research Council–CNPq, Prof. Miguel Petrere Jr., Dr. Fabio Cop Ferreira, the Foundation to Promote Research and Industrial Refinement–FIPAI, and the São Carlos School of Engineering–EESC/USP.
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Responsible editor: Jorge Enoch Furquim Werneck Lima
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Estigoni, M.V., Matos, A.J.S. & Mauad, F.F. Assessment of the accuracy of different standard methods for determining reservoir capacity and sedimentation. J Soils Sediments 14, 1224–1234 (2014). https://doi.org/10.1007/s11368-013-0816-x
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DOI: https://doi.org/10.1007/s11368-013-0816-x