  Conventional Full Waveform Inversion requires calculating the objective
function to be minimized and construction a gradient using the whole property
model, when is often the case where geoscientist are only interested in a local
region. In this study, we use two strategies to perform local FWI in time
domain. One that disregards the interaction of the locally altered model with
the exterior (FD injection) and the second that can take these iterations into
account (Immersive Boundary Conditions). Numerical tests show the influence of
whether or not to set aside these interactions for different accuracy of the
exterior model.
