1. Heat olive oil in a large pot over medium heat.
2. Add chopped onion, carrots, and celery. Cook until softened, about 5 minutes.
3. Add minced garlic and cook for another minute.
4. Add ham bone, split peas, chicken broth, thyme, and black pepper. Bring to a boil.
5. Reduce heat to low, cover, and simmer for about 2 hours, stirring occasionally.
6. Remove ham bone, shred any meat, and return meat to the pot. Discard the bone.
7. Adjust seasoning if needed and serve hot.