An extension of the multi-scale finite-volume (MSFV) method is devised,
which allows to simulate flow and transport in reservoirs with complex
well configurations. The new framework fits nicely into the data
structure of the original MSFV method and it has the important property
that no large patches covering the whole well are required. For each
well, an additional degree of freedom is introduced. While the treatment
of pressure-constraint wells is trivial, since the well-bore reference
pressure is explicitly specified, additional equations have to be
solved to obtain the unknown pressure values of rate-constraint wells.
Numerical simulations of a difficult test case with multiple complex
wells demonstrate the ability of the new framework to capture the
interference between the various wells and the reservoir accurately.