Deep water renewal in lake baikal: A model for long-term analyses

Journal of Geophysical Research: Oceans

Volumn 118, Issue 12, 2013, Pages 6717-6733

  Piccolroaz, Sebastiano ^a   Toffolon, Marco ^a  

^a UNIVERSITY OF TRENTO   (Italy)

Author keywords

deep ventilation; downwelling; Lake Baikal; numerical modeling

Indexed keywords

LAGRANGE MULTIPLIERS; LAKES; LINEAR EQUATIONS; MATHEMATICAL MODELS; NUMERICAL MODELS; VENTILATION;

DOWN-WELLING; LAKE BAIKAL; METEOROLOGICAL CONDITION; REACTION DIFFUSION EQUATIONS; SELF-CONSISTENT PROCEDURES; SURFACE WATER TEMPERATURE; THERMOBARIC INSTABILITY; VERTICAL STABILIZATION;

COMPUTER SIMULATION;

ALGORITHM; CFC; DEEP WATER; DOWNSCALING; LAGRANGIAN ANALYSIS; LONG-TERM CHANGE; NUMERICAL MODEL; TRACER; VENTILATION; WATER TEMPERATURE; WIND FORCING;

CALIFORNIA; LAKE BAIKAL; RUSSIAN FEDERATION; SAN FRANCISCO BAY; SOUTH BASIN; UNITED STATES;

EID: 84892915679     PISSN: None     EISSN: 21699291     Source Type: Journal    
DOI: 10.1002/2013JC009029     Document Type: Article

References (66)

1. Adrian, R., et al. (2009), Lakes as sentinels of climate change, Limnol. Oceanogr. Methods, 54 (6), 2283-2297.
2. Aeschbach-Hertig, W., M. Hofer, M. Schmid, R. Kipfer, and, D. M. Imboden, (2002), The physical structure and dynamics of a deep, meromictic crater lake (Lac Pavin, France), Hydrobiologia, 487 (1), 111-136.
3. Akitomo, N., K. Tanaka, K. Awaji, and, T. Imasato, (1995), Deep convection in a lake triggered by wind: Two-dimensional numerical experiments with a nonhydrostatic model, J. Oceanogr., 51 (2), 171-185.
4. Bennington, V., G. A. McKinley, N. Kimura, and, C. H. Wu, (2010), General circulation of Lake Superior: Mean, variability, and trends from 1979 to 2006, J. Geophys. Res., 115, C12015, doi: 10.1029/2010JC006261.
5. Boehrer, B., and, M. Schultze, (2008), Stratification of lakes, Rev. Geophys., 46, RG2005, doi: 10.1029/2006RG000210.
6. Boehrer, B., A. Matzinger, and, M. Schimmele, (2000), Similarities and differences in the annual temperature cycles of East German mining lakes, Limnol. Ecol. Manage. Inland Waters, 30 (3), 271-279.
7. Boehrer, B., R. Fukuyama, and, K. Chikita, (2008), Stratification of very deep, thermally stratified lakes, Geophys. Res. Lett., 35, L16405, doi: 10.1029/2008GL034519.
8. Botte, V., and, A. Kay, (2002), A model of the wind-driven circulation in Lake Baikal, Dyn. Atmos. Oceans, 35 (2), 131-152.
9. Chen, C. T., and, F. J. Millero, (1986), Precise thermodynamic properties for natural-waters covering only the limnological range, Limnol. Oceanogr., 31 (3), 657-662.
10. Crawford, G. B., and, R. W. Collier, (1997), Observations of a deep-mixing event in Crater Lake, Oregon, Limnol. Oceanogr., 42 (2), 299-306.
11. Deardorff, J. W., (1967), Empirical dependence of the eddy coefficient for heat upon stability above the lowest 50 m, J. Appl. Meteorol., 6 (4), 631-643.
12. Dorofeeva, R. P., and, S. V. Lysak, (1989), Geothermal profiles of the lithosphere in Central Asia, Tectonophysics, 164 (2-4), 165-173.
13. England, M. H., (2001), Ocean process tracers: Tracers and large-scale models, in Encyclopedia of Ocean Sciences, edited by J. Steele, S. Thorpe and K. Turekians, pp. 3009-3020, Academic Press, London.
14. Farmer, D. M., and, E. Carmack, (1981), Wind mixing and restratification in a lake near the temperature of maximum density, J. Phys. Oceanogr., 11 (11), 1516-1533.
15. Garwood, R. W., S. M. Isakari, and, P. Gallacher, (1994), Thermobaric convection, in The Role of the Polar Oceans in Shaping the Global Environment, vol. 85, Geophys. Monogr. Ser., edited by O. Johannessen, R. Muench, and J. Overland, pp. 199-209, AGU, Washington, D. C.
16. Gill, A. E., (1982), Atmosphere-Ocean Dynamics, Academic, London.
17. Golubev, V. A., (2010), Geothermal field and distribution for earthquake source depths in the Baikal rift zone, Dokl. Earth Sci., 433 (2), 1083-1087.
18. Goudsmit, G. H., H. Burchard, F. Peeters, and, A. Wüest, (2002), Application of k-Ïμ turbulence models to enclosed basins: The role of internal seiches, J. Geophys. Res., 107 (C12), 3230, doi: 10.1029/2001JC000954.
19. Henderson-Sellers, B., (1982), A simple formula for vertical eddy diffusion coefficients under conditions of nonneutral stability, J. Geophys. Res., 87 (C8), 5860-5864.
20. Hewitson, B. C., and, R. G. Crane, (2006), Consensus between gcm climate change projections with empirical downscaling: Precipitation downscaling over South Africa, Int. J. Climatol., 26 (10), 1315-1337.
21. Hohmann, R., R. Kipfer, F. Peeters, G. Piepke, D. M. Imboden, and, M. N. Shimaraev, (1997), Deep-water renewal in Lake Baikal, Limnol. Oceanogr., 42 (5), 841-855.
22. Imboden, D., and, A. Wüest, (1995), Mixing mechanisms in lakes, in Physics and Chemistry of Lakes, edited by A. Lerman, D. M. Imboden, and J. R. Gat, pp. 83-138, Springer, Berlin.
23. Killworth, P. D., E. C. Carmack, R. F. Weiss, and, R. Matear, (1996), Modeling deep-water renewal in Lake Baikal, Limnol. Oceanogr., 41 (7), 1521-1538.
24. Kouraev, A. V., S. V. Semovski, M. N. Shimaraev, N. M. Mognard, B. Legrésy, and, B. Rémy, (2007), The ice regime of Lake Baikal from historical and satellite data: Relationship to air temperature, dynamical, and other factors, Limnol. Oceanogr. Methods, 52 (3), 1268-1286.
25. Kullenberg, G., (2011), On vertical mixing and the energy transfer from the wind to the water, Tellus, Ser. B, 28 (2), 159-165.
26. Large, W. G., J. C. McWilliams, and, S. C. Doney, (1994), Oceanic vertical mixing: A review and a model with a nonlocal boundary layer parameterization, Rev. Geophys., 32 (4), 363-403.
27. Lawrence, S. P., K. Hogeboom, and, H. L. Le Core, (2002), A three-dimensional general circulation model of the surface layers of Lake Baikal, Hydrobiologia, 487 (1), 95-110.
28. Livingstone, D. M., and, D. M. Imboden, (1996), The prediction of hypolimnetic oxygen profiles: A plea for a deductive approach, Can. J. Fish. Aquat. Sci., 53 (4), 924-932.
29. Løyning, T. B., and, J. Weber, (1997), Thermobaric effect on buoyancy-driven convection in cold seawater, J. Geophys. Res., 102 (C13), 27,875-27,885.
30. Lysak, S. V., (2002), Terrestrial heat flow in zones of active faults in Southern East Siberia, Russ. Geol. Geophys., 43 (8), 791-803.
31. McDougall, T. J., (1987), Thermobaricity, cabbeling, and water-mass conversion, J. Geophys.Res., 93 (C5), 5448-5464.
32. Mellor, G. L., (1989), Retrospect on oceanic boundary layer modeling and second moment closure, in The Parameterization of Small-Scale Processes, edited by, P. Müller, and, D. Henderson, pp. 251-272.
33. Munk, W. H., and, E. R. Anderson, (1948), Notes on a theory of the thermocline, J. Mar. Res., 7, 276-295.
34. Osborn, T. R., and, P. H. LeBlond, (1974), Comments on static stability in freshwater lakes, Limnol. Oceanogr., 19 (3), 544-545.
35. Pacanowski, R. C., and, S. G. Philander, (1981), Parameterization of vertical mixing in numerical models of tropical oceans, J. Phys. Oceanogr., 11 (11), 1443-1451.
36. Panofsky, H. A., and, G. W. Brier, (1968), Some Applications of Statistics to Meteorology, Earth and Miner. Sci. Contin. Educ., Coll. of Earth and Miner. Sci. University Park, Pa., Mineral Industries Extension Services, College of Mineral Industries, Pennsylvania State University, 1958.
37. Peeters, F., G. Piepke, R. Kipfer, R. Hohmann, and, D. M. Imboden, (1996), Description of stability and neutrally buoyant transport in freshwater lakes, Limnol. Oceanogr., 41 (8), 1711-1724.
38. Peeters, F., R. Kipfer, R. Hohmann, M. Hofer, D. M. Imboden, G. G. Kodenev, and, T. Khozder, (1997), Modeling transport rates in Lake Baikal: Gas exchange and deep water renewal, Environ. Sci. Technol., 31 (10), 2973-2982.
39. Peeters, F., R. Kipfer, M. Hofer, D.M. Imboden, V.M. Domysheva, (2000), Correction to Vertical turbulent diffusion and upwelling in Lake Baikal estimated by inverse modeling of transient tracers by F. Peeters, R. Kipfer, M. Hofer, D. M. Imboden, and V. M. Domysheva, J. Geophys. Res., 105(C6), 14283, doi: 10.1029/2000JC000367.
40. Piccolroaz, S., (2013), Deep ventilation in Lake Baikal: A simplified model for a complex natural phenomenon, PhD thesis, Doct. Sch. in Environ. Eng., Univ. of Trento, Trento, Italy.
41. Piccolroaz, S., and, M. Toffolon, (2011), A simplified model for deep water renewal in Lake Baikal, Proceedings of the 15th International Workshop on Physical Processes in Natural Waters, edited by Y. R. Rao and J. D. Ackerman, pp. 200, 11-14 July, Burlington, Canada.
42. Piccolroaz, S., M. Toffolon, and, B. Majone, (2013), A simple lumped model to convert air temperature into surface water temperature in lakes, Hydrol. Earth Syst. Sci., 17 (8), 3323-3338.
43. Ravens, T. M., O. Kocsis, A. Wüest, and, N. Granin, (2000), Small-scale turbulence and vertical mixing in Lake Baikal, Limnol. Oceanogr., 45 (1), 159-173.
44. Rzheplinsky, G. V., and, A. I. Sorokina, (1977), Atlas of Wave and Wind Action in Lake Baikal [in Russian], Gidrometeoizdat, Leningrad: 118 pp.
45. Schmid, M., M. D. Batist, N. G. Granin, V. A. Kapitanov, D. F. McGinnis, I. B. Mizandrontsev, A. I. Obzhirov, and, A. Wüest, (2007), Sources and sinks of methane in Lake Baikal: A synthesis of measurements and modeling, Limnol. Oceanogr. Methods, 52 (5), 1824-1837.
46. Schmid, M., N. M. Budnev, N. G. Granin, M. Sturm, M. Schurter, and, A. Wüest, (2008), Lake Baikal deepwater renewal mystery solved, Geophys. Res. Lett., 35, L09605, doi: 10.1029/2008GL033223.
47. Sheng, J., and, Y. R. Rao, (2006), Circulation and thermal structure in Lake Huron and Georgian Bay: Application of a nested-grid hydrodynamic model, Cont. Shelf Res., 26 (12-13), 1496-1518.
48. Sherstyankin, P. P., and, L. N. Kuimova, (2003), Precise formulas for thermodynamic parameters of lake waters based on the ChenMillero equation of state, Dokl. Earth Sci., 391 (5), 769-773.
49. Sherstyankin, P. P., V. A. Fialkov, E. S. Chernyaev, A. M. Sagalevich, V. G. Ivanov, L. N. Kuimova, and, A. G. Kichigin, (2012), Thermodynamic and convective properties of Baikal waters in the region of maximum depths of Lake Baikal based on observations from the manned submersible MIR2 during the period of the spring thermal bar, Dokl. Earth Sci., 446 (6), 680-685.
50. Shimaraev, M. N., N. G. Granin, and, A. A. Zhdanov, (1993), Deep ventilation of Lake Baikal waters due to spring thermal bars, Limnol. Oceanogr., 38 (5), 1068-1072.
51. Shimaraev, M. N., V. I. Verbolov, N. G. Granin, and, P. P. Sherstyankin, (1994), Physical Limnology of Lake Baikal: A Review, Baikal Int. Cent. for Ecol. Res., Irkutsk, Russia.
52. Shimaraev, M. N., E. S. Troitskaya, and, R. Y. Gnatovskii, (2009), Modern climate changes and deep water temperature of Lake Baikal, Dokl. Earth Sci., 427 (5), 804-808.
53. Shimaraev, M. N., R. Y. Gnatovskii, V. V. Blinov, and, V. G. Ivanov, (2011a), Renewal of deep waters of Lake Baikal revisited, Dokl. Earth Sci., 438 (1), 652-655.
54. Shimaraev, M. N., A. A. Zhdanov, R. Y. Gnatovskii, V. V. Blinov, and, V. G. Ivanov, (2011b), Specific features of cold bottom intrusion in Baikal according to observations in 1993-2009. Water Resour., 38 (2), 169-174.
55. Shimaraev, M. N., E. S. Troitskaya, V. V. Blinov, V. G. Ivanov, and, R. Y. Gnatovskii, (2012), Upwellings in Lake Baikal, Dokl. Earth Sci., 442, 272-276.
56. Sundaram, T. R., and, R. G. Rehm, (1971), Formation and maintenance of thermoclines in temperate lakes, AIAA J., 9 (7), 1322-1329.
57. DeBatist, M., M. Canals, P. Sherstyankin, S. Alekseev, & the INTAS Project 99-1669 Team, 2002. A new bathymetric map of Lake Baikal. Scientific Drilling Database. doi: 10.1594/GFZ.SDDB.1100.
58. Tsvetova, E. A., (1999), Mathematical modelling of Lake Baikal hydrodynamics, Hydrobiologia, 407, 37-43.
59. Venayagamoorthy, S. K., and, D. D. Stretch, (2010), On the turbulent Prandtl number in homogeneous stably stratified turbulence, J. Fluid Mech., 644, 359-369.
60. Watts, S. J., and, R. G. Walker, (1995), A three-dimensional numerical model of deep ventilation in temperate lakes, J. Geophys. Res., 100 (C 11), 22,711-22,731.
61. Weber, J. E., and, T. B. Løyning, (2006), Thermobaric effect on slantwise convection in cold seawater, Tellus, Ser. A, 58 (3), 385-391.
62. Weiss, R. F., (1970), The solubility of nitrogen, oxygen and argon in water and seawater, Deep Sea Res. Oceanogr. Abstr., 17, 721-735.
63. Weiss, R. F., E. C. Carmack, and, V. M. Koropalov, (1991), Deep-water renewal and biological production in Lake Baikal, Nature, 349 (6311), 665-669.
64. Wu, J., (1982), Wind-stress coefficients over sea-surface from breeze to hurricane, J. Geophys. Res., 87 (C 12), 9704-9706.
65. Wüest, A., T. M. Ravens, N. G. Granin, O. Kocsis, M. Schurter, and, M. Sturm, (2000), Deep water renewal in Lake Baikal matching turbulent kinetic energy and internal cycling, Terra Nostra, 9, 60-74.
66. Wüest, A., T. M. Ravens, N. G. Granin, O. Kocsis, M. Schurter, and, M. Sturm, (2005), Cold intrusions in Lake Baikal: Direct observational evidence for deep-water renewal, Limnol. Oceanogr. Methods, 50 (1), 184-196.