An earth earthquake is just another way to say earthquake.
This is a jukugo word, which usually means on'yomi readings from the kanji. If you know the readings of your kanji you'll know how to read this as well. Notice that 地 is read as じ instead of ち. You've seen this happen a few times before, so just try to remember that this is the case here.
The press severely criticized the government's earthquake preparedness.
When an earthquake occurs in a place where they rarely have them, some people call the police.
"I want to talk to you about the earthquake last night." "I’ll totally listen to what you have to say."