Geokinesis

Geokinesis is the ability to control/manimpulate earth. Abilities can include earthquakes, fissures, rockslides, landslide, volcanic eruptions, or the ability to cause rock to shoot up from the ground.

The Titan's Curse
During the end of The Titan's Curse, skeleton warriors manage to breach the borders of the camp and attack Percy. Nico, still upset over his sister's death opens up the ground and sends the warriors into the Underworld before the fissure closes back up again.

The Battle of the Labyrinth
Percy is seen in The Battle of the Labyrinth using his (limited) geokinetic powers to create an earthquake that forces an eruption/explosion in Mount Saint Helens. Later in the book, Nico creates large truck-size columns of black rock between Percy, Annabeth, Rachel, and himself to help the others escape Kronos' palace on Mount Othrys. Nico has also been shown levitating rocks and creating and vanishing structures of rock.

The Lost Hero
While traveling up Mount Diablo, Leo, Piper, and Jason are constantly being pulled into the ground as it forms around their feet like sand because of Gaia. Gaia herself also takes physical form by manipulating the earth itself to take the shape of a face or a woman wrapped in a cloak.

Users of Geokinesis

 * Hades
 * Nico Di Angelo
 * Bianca di Angelo
 * Percy Jackson (to a weaker degree than Hades/Gaia/Hades' Children)
 * Poseidon(to an unknown degree)
 * Gaia