Preheat the oven to 350 degrees F. Line a cupcake tin with liners.
In a bowl, whisk together the flour, baking soda, powder and salt. In a separate bowl, whisk together the water, olive oil, sugar, lemon juice and vanilla extract until combined. Add the wet ingredients to the dry, stirring until combined. Fill the liners 3/4 of the way full with batter. Bake the cupcakes for 16 to 18 minutes, until they are just golden on top. Let cool completely before frosting.