Parameter Identification for Salinity in a Quasilinear Thermodynamic System of Sea Ice

Abstract

This study is intended to provide a parameter identification method to determine salinity of sea ice by temperature and salinity observations. A quasilinear thermodynamic system of sea ice with unknown salinity is described and its property is proved. Then, a parameter identification model is established and the existence of its optimal solution is discussed. The salinity profile is calculated by the temperature and salinity data, which were measured at Nella Fjord around Zhongshan Station, Antarctica, during the polar night time by the 22nd Chinese Antarctic Research Expedition. Another simulation for temperature profiles during different measurement periods is operated. Results show that better simulations of the salinity and temperature distribution are possible with the estimated parameters than Eicken’s (Eicken 1992) and THESCI’s (Lv et al. 2009). This method will help people understand the salinity evolution of sea ice more thoroughly.

An identification method to estimate surface shortwave fluxes on temperature and thickness observations of sea ice in CHINARE 2006

“…S ( z , t ) is the salinity of sea ice. a 1 , a 2 , a 3 , and a 4 are given parameters that are taken from Reference . h ( t ) = h 1 + h 2 t is the ice thickness, where h 1 and h 2 are constants.…”

“…The field data for temperature and thickness of sea ice were measured in the coastal area off Zhongshan Station by the 22nd Chinese Antarctic Research Expedition as shown in Reference . The measure time is from 1 August to 30 September 2006.…”

“…This method is particularly effective when field data are sparse and unsatisfactory because of the difficulties associated with fieldwork. Using this method, References and estimated some physical parameters of sea ice that can be measured difficultly and indirectly, such as salinity and so on. In this paper, a parameter identification method(PIM for short) is used to determine the surface shortwave flux in conditions of ice cover by temperature and thickness observations in CHINARE 2006 that were measured at Nella Fjord around Zhongshan Station, Antarctica, where CHINARE denotes Chinese National Antarctic Research Expedition.…”

“…The shortwave radiation is a complex expression using Zillman's scheme , which will bring a large amount of calculation. The salinity scheme of sea ice is used according to Reference . The existence and uniqueness of the solution for the quasi‐linear thermodynamic system are proved.…”

Parameter identification for volumetric heat capacity and thermal conductivity in a quasi-linear thermodynamic system of sea ice

“…Using this method, [8,9] presented the optimality conditions of parameter identification for densities, specific heats and thermal conductivities of sea ice. In [10], salinity of sea ice was determined by this method. In this paper, we choose a quasi-linear thermodynamic system of sea ice without source term.…”