In a large pot or Dutch oven, heat your chosen oil over medium heat.
Add the onion, celery, carrots, and minced garlic to the hot oil and sauté for 5-7 minutes, until softened and fragrant.
Stir in the diced jalapenos and cook for another minute, allowing the heat to bloom.
Add the chopped tomatoes and bring to a simmer, scraping up any browned bits from the bottom of the pot. Stir in the baking soda and allow the tomatoes to simmer for 5 minutes, releasing their acidity.
Add the soaked black eyed peas, bay leaves, Mexican oregano, and salt to the pot. Stir to combine and bring to a gentle boil.
Reduce heat to low, cover the pot, and simmer for 1-1 ½ hours, or until the peas are tender. Add water if needed to maintain a liquid level.
In the last 30 minutes of cooking, add the bite-sized kielbasa pieces. Let them simmer in the flavorful broth until cooked through.
Once the peas and kielbasa are cooked, taste the stew and adjust seasoning with additional salt and pepper to your preference.
Serve the Black Eyed Peas Chicana Style hot, with a sprinkle of fresh cilantro or parsley (optional) and crusty bread for dipping.