The modelling of sea-ice growth is a classical problem in geophysics,
which has been traditionally treated as one-dimensional, considering o
nly the vertical heat transfer. The modelling work commenced in the 18
00s with analytic methods. These are very effective tools for examinin
g the sea-ice growth problem, providing a clear insight into the physi
cal mechanisms and producing simple first-order approximations for the
ice thickness in various conditions. This paper describes the physica
l problem of sea-ice growth, presents an analytical modelling framewor
k for the problem and provides analytic solutions for different enviro
nmental conditions.