Have you ever seen fog outside? It's like a big, fluffy cloud that's right on the ground! Sometimes when there's a lot of fog in one place, it can be hard for people to see where they're going, and that's not safe.
Fog investigation and dispersal operation is when a group of people come together to figure out how much fog there is in one place and what they can do to make it go away so that it's safe to be outside.
They use special tools to measure how much fog is in the air, like how a ruler measures how long something is. Then they figure out how to make the fog go away, like using a fan to blow it away or spraying water into the air to make it disappear.
This is important work because it helps keep people safe when they're outside.