  We call a partially hyperbolic diffeomorphism \emph{partially volume
expanding} if the Jacobian restricted to any hyperplane that contains the
unstable bundle $E^u$ is larger than $1$. This is a $C^1$ open property. We
show that any $C^{1+}$ partially volume expanding diffeomorphisms admits
finitely many physical measures, the union of whose basins has full volume.
