The adjoint method is used to assimilate observations into a quasi-geo
strophic ocean model for a midlatitude jet. The domain has four open b
oundaries. Control variables used in this study are the lateral bounda
ry values of stream function and relative vorticity. As a basic step,
simulated data are assimilated (''identical-twin'' approach), and the
effects of reducing the amount of observations as well as changing the
ir distribution in space and time are investigated. Special attention
is paid to the problem of how well the unobserved parts of the model t
rajectory are resolved. First, data are assimilated as two-dimensional
maps at certain time intervals. Subsequently, continuous assimilation
is performed along satellite ground tracks. The solution deteriorates
somewhat in the satellite scenario, for which the data set is relativ
ely sparse. However, the model can still be well fitted to the ''truth
.'' It is also shown that the deeper layers are constrained by the upp
er layer information.