Numerical simulation of the impacts of water level variation on water age in Dahuofang Reservoir
Xinwen LI, Yongming SHEN
Numerical simulation of the impacts of water level variation on water age in Dahuofang Reservoir
The transport timescales were investigated in response to water level variation under different constant flow rates in Dahuofang Reservoir. The concept of water age was applied to quantify the transport timescales. A three-dimensional hydrodynamic model was developed based on the Environmental Fluid Dynamics Code (EFDC). The model was calibrated for water surface elevation and temperature profiles from April 1, 2008 to October 31, 2008. Comparisons of observed and modeled data showed that the model reproduced the water level fluctuation and thermal stratification during warm season and vertical mixing during cold season fairly well. The calibrated model was then applied to investigate the response of water age to water level changes in Dahuofang Reservoir. Model results showed that water age increases from confluence toward dam zone. In the vertical direction, the water age is relatively uniform at upstream and stratifies further downstream, with a larger value at bottom layer than at surface layer. Comparisons demonstrated that water level variation has a significant impact on transport timescales in the reservoir. The impact of water level drawdown on water age is stronger at bottom layer than at surface layer. Under high flow conditions, the water age decreases 0–20 days at surface layer and 15–25 days at bottom layer. Under mean flow conditions, the water age decreases 20–30 days at surface layer and 30–50 days at bottom layer. Furthermore, the impact is minor in the upstream and increases further downstream. The vertical stratification of water age weakens as the water level decreases. This study provides a numerical tool to quantify the transport timescale in Dahuofang Reservoir and supports adaptive management of regional water resources by local authorities.
water age / EFDC / Dahuofang Reservoir / numerical simulation / water level
[1] |
Ahsan A K M Q, Blumberg A F (1999). Three-dimensional hydrothermal model of Onondaga Lake, New York. J Hydraul Eng, 125(9): 912–923
CrossRef
Google scholar
|
[2] |
Deleersnijder E, Delhez E, Beckers J M (2001). Some properties of generalized age-distribution equations in fluid dynamics. SIAM J Appl Math, 61(5): 1526–1544
CrossRef
Google scholar
|
[3] |
Blumberg A F, Ji Z G, Ziegler C K (1996). Modeling outfall plume behavior using far field circulation model. J Hydraul Eng, 122(11): 610–616
CrossRef
Google scholar
|
[4] |
Blumberg A F, Mellor G L (1987). A description of a three-dimensional coastal ocean circulation model. In: Heaps N S, ed. Three-Dimensional Coastal Ocean Models. Washington DC: American Geophysical Union, 1–16
|
[5] |
Bolin B, Rodhe H (1973). A note on the concepts of age distribution and transit time in natural reservoirs. Tellus, 25(1): 58–62
CrossRef
Google scholar
|
[6] |
Brauns M, Garcia X F, Pusch M T (2008). Potential effects of water-level fluctuations on littoral invertebrates in lowland lakes. Hydrobiologia, 613(1): 5–12
CrossRef
Google scholar
|
[7] |
Deleersnijder E, Campin J M, Delhez E J M (2001). The concept of age in marine modelling I. Theory and preliminary model results. J Mar Syst, 28(3–4): 229–267
CrossRef
Google scholar
|
[8] |
Delhez E J M, Carabin G (2001). Integrated modelling of the Belgian Coastal Zone. Estuar Coast Shelf Sci, 53(4): 477–491
CrossRef
Google scholar
|
[9] |
Galperin B, Kantha L H, Hassid S, Rosati A (1988). A quasi-equilibrium turbulent energy model for geophysical flows. J Atmos Sci, 45(1): 55–62
CrossRef
Google scholar
|
[10] |
Gong W P, Shen J, Hong B (2009). The influence of wind on the water age in the tidal Rappahannock River. Mar Environ Res, 68(4): 203–216
CrossRef
Google scholar
|
[11] |
Gunn J M (2002). Impact of the 1998 El Nino event on a lake charr, Salvelinus namaycush, population recovering from acidification. Environ Biol Fishes, 64(1–3): 343–351
CrossRef
Google scholar
|
[12] |
Hamrick J M (1992). A three-dimensional Environmental Fluid Dynamics Computer Code: theoretical and computational aspects. Special Report in Applied Marine Science and Ocean Engineering, No. 317, College of William and Mary, VIMS, p. 63
|
[13] |
He G J, Fang H W, Bai S, Liu X B, Chen M H, Bai J (2011). Application of a three-dimensional eutrophication model for the Beijing Guanting Reservoir, China. Ecol Modell, 222(8): 1491–1501
CrossRef
Google scholar
|
[14] |
Huang R, Han L X, Zhang H, Gao J J, Pan M M, Peng H (2013). Evalution and analysis of water environmental quality in Dahuofang Reservoir based on fuzzy evaluation and AHP method. Yellow River, 35(4): 32–34 (in Chinese)
|
[15] |
Huang W R, Liu X H, Chen X J, Flannery M S (2010). Estimating river flow effects on water ages by hydrodynamic modeling in Little Manatee River estuary, Florida, USA. Environ Fluid Mech, 10(1–2): 197–211
CrossRef
Google scholar
|
[16] |
Ji Z G, Morton M R, Hamrick J M (2001). Wetting and drying simulation of estuarine processes. Estuar Coast Shelf Sci, 53(5): 683–700
CrossRef
Google scholar
|
[17] |
Jiang Z F, Xia C Z, Dong C Z, Xu J, He L Z, Wang Z B (1994). Study on the effects of change of water level on population dynamics of phytoplankton of Hamutong Reservoir. Chinese Journal of Fisheries, 7(2): 48–54 (in Chinese)
|
[18] |
Jin K R, Hamrick J H, Tisdale T (2000). Application of three-dimensional hydrodynamic model for Lake Okeechobee. J Hydraul Eng, 126(10): 758–771
CrossRef
Google scholar
|
[19] |
Li Y P, Acharya K, Chen D, Stone M (2010). Modeling water ages and thermal structure of Lake Mead under changing water levels. Lake Reservior Manage, 26(4): 258–272
CrossRef
Google scholar
|
[20] |
Liu W C, Chen W B, Hsu M H (2011). Using a three-dimensional particle-tracking model to estimate the residence time and age of water in a tidal estuary. Comput Geosci, 37(8): 1148–1161
CrossRef
Google scholar
|
[21] |
Mellor G L (1991). An equation of state for numerical models of oceans and estuaries. J Atmos Ocean Technol, 8(4): 609–611
CrossRef
Google scholar
|
[22] |
Mellor G L, Yamada T (1982). Development of a turbulence closure model for geophysical fluid problems. Rev Geophys, 20(4): 851–875
CrossRef
Google scholar
|
[23] |
Pauly D (1980). On the interrelationships between natural mortality, growth-parameters, and mean environmental-temperature in 175 fish stocks. Journal du Conseil / Conseil Permanent International pour l’Exploration de la Mer, 39(2): 175–192
|
[24] |
Rosati A, Miyakoda K (1988). A general circulation model for upper ocean simulation. J Phys Oceanogr, 18(11): 1601–1626
CrossRef
Google scholar
|
[25] |
Rueda F, Moreno-Ostos E, Armengol J (2006). The residence time of river water in reservoirs. Ecol Modell, 191(2): 260–274
CrossRef
Google scholar
|
[26] |
Shen J, Haas L (2004). Calculating age and residence time in the tidal York River using three-dimensional model experiments. Estuar Coast Shelf Sci, 61(3): 449–461
CrossRef
Google scholar
|
[27] |
Shen J, Wang H V (2007). Determining the age of water and long-term transport timescale of the Chesapeake Bay. Estuar Coast Shelf Sci, 74(4): 585–598
CrossRef
Google scholar
|
[28] |
Shen Y M, Wang J H, Zheng B H, Zhen H, Feng Y, Wang Z X, Yang X (2011). Modeling study of residence time and water age in Dahuofang Reservoir in China. Science China Physics, Mechanics and Astronomy, 54(1): 127–142
CrossRef
Google scholar
|
[29] |
Smolarkiewicz P K, Margolin L G (1993). On forward-in-time differencing for fluids: extension to a curvilinear framework. Mon Weather Rev, 121(6): 1847–1859
CrossRef
Google scholar
|
[30] |
Takeoka H (1984). Fundamental concepts of exchange and transport time scales in a coastal sea. Cont Shelf Res, 3(3): 311–326
CrossRef
Google scholar
|
[31] |
Wang C F, Hsu M H, Kuo A Y (2004). Residence time of the Danshuei River estuary, Taiwan. Estuar Coast Shelf Sci, 60(3): 381–393
CrossRef
Google scholar
|
[32] |
Wang Y P, Liu J D, Shi Y Q, Sun X Y, Li L (2008). Dynamic changes of the water quality in Dahuofang Reservoir. Environmental Protection and Circular Economy, 28(6): 49–51 (in Chinese)
|
[33] |
Wantzen K M, Rothhaupt K O, Mörtl M, Cantonati M, G.-Tóth L, Fischer P (2008). Ecological effects of water-level fluctuations in lakes: an urgent issue. Hydrobiologia, 613: 1–4
CrossRef
Google scholar
|
[34] |
Zimmerman J T F (1976). Mixing and flushing of tidal embayments in the Western Dutch Wadden Sea, Part I: Distribution of salinity and calculation of mixing time scales. Neth J Sea Res, 10(2): 149–191
CrossRef
Google scholar
|
/
〈 | 〉 |