In the world of martinis, there's plenty of gourmet ingredients that can make your order so dirty it crosses into "filthy ...
You don't need to avoid dirty martinis simply because of this. There are ways to achieve that salty, umami flavor without olive brine or olives. You just need to get creative in the kitchen.
Adjust brine amount to taste. Cap bottle, shake and store in freezer until well-chilled, at least 4 hours. To serve, set the bottle in an ice bucket and offer cocktail glasses and green olives.