Revealing mistake: In the scene where the geoligist's husband calls her from the L.A. airport to say he's going to try to make it home, a strong aftershock collapses the wall that the pay phone is mounted on - as this occurs you can see cables attached to the wall pulling it over.
Continuity mistake: When the earthquake happens, the phone falls off the hook so the lady can't get through to the house, and the phone is making that really annoying sound when it's off the hook. The phone is a portable so it shouldn't matter that it is off the hook, and when her daughter comes home it stops making that annoying sound when a phone is off the hook.