This paper predicts that the self-heating effect will arise in a short intra-block wire with technology scaling. The short intra-block wires are close to the substrate and seem to have good thermal radiation characteristic, however, we reveal that the self-heating of short wires will be comparable to that of global wires, and it can be a design issue in the future. Our attribution analysis also clarifies that shrinking wire cross-sectional area as well as low-$k$ material and increased power dissipation deteriorates self-heating, whereas the distance from the substrate to the wire have a less impact on weakening the self-heating effect than we guessed.