01 - Heat olive oil in a large soup pot over medium heat. Add onion, carrots, and celery, and sauté for 5–7 minutes until softened.
02 - Stir in the garlic and cook for 1 minute until fragrant.
03 - Add split peas, smoked turkey, bay leaves, thyme, pepper, and smoked paprika. Pour in the broth or water and stir well.
04 - Bring to a boil, then reduce heat to low. Cover and simmer for 1 hour, stirring occasionally.
05 - Remove the turkey pieces. Shred the meat off the bones, discarding skin and bones, then return the meat to the pot.
06 - Continue simmering uncovered for 20–30 minutes, or until peas are soft and soup reaches your desired consistency. Add more water if the soup becomes too thick.
07 - Season with salt to taste. Remove bay leaves before serving.