Undergravel filters, corner filters and sponge filters all typically use air as their motive force for the water. Without the air, no filter flow takes place and nothing is removed from the water. Sponge filters and UGFs can be run using a separate pump called a power head. They often produce more currents in the water than a betta can tolerate so we're back to using air bubbles. Larger tanks can have other types of filters like canisters or the kind that hang on the back, HOB, filters. These produce much more flow than you would usually want in the typical small betta tank.