Olorime's tooltip reads:

"Casting abilities that leave an effect on the ground in combat will create a circle of might for 5 seconds. You and your group members standing in the circle gain Major Courage for 20 seconds, increasing your Weapon Damage and Spell Damage by 258. This effect can occur once every 10 seconds."

Abilities That Proc Olorime

Abilities That Proc Olorime
Grand Healing and morphs
Healing Seed and morphs
Blood Altar and morphs
Secluded Grove and morphs
Ash Cloud and morphs
Elemental Wall and morphs
Lightning Splash and morphs
Fire Rune and morphs
Negate and morphs
Trapping Webs and morphs
Time Stop and morphs
Siege Shield and morphs
Revealing Flare and morphs
Caltrops and morphs
Summon Storm Atronach and morphs
Encase and morphs
Daedric Mines and morphs
Volley and morphs
Whirlwind and morphs
Elemental Storm and morphs
Circle of Protection and morphs
Meteor and morphs
Spear Shards and morphs
Nova and morphs
Dragonknight Standard and morphs
Fungal Growth and morphs
Impaling Shards and morphs
Path of Darkness and morphs
Consuming Darkness and morphs
Cleansing Ritual and morphs

Abilities That Don't Proc Olorime

Abilities That DON'T Proc Olorime
Healing Ritual and morphs
Blessing of Protection and morphs
Arrow Spray and morphs
Necrotic Orbs and morphs
Impulse and morphs
Purge and morphs
Lacerate and morphs
Dawnbreaker and morphs
Radial Sweep and morphs
Rite of Passage and morphs
Inhale and morphs
Dark Talons and morphs
Dragon Leap and morphs
Sleet Storm and morphs
Soul Shred and morphs
Bat Swarm and morphs