This law established the concept of partial gas pressures. Equilibrium conditions are the standard in this law. The difference between the saturation value of a gas and its actual concentration in the water is what provides the driving force for the interchange of gas between air and water.
Surface area is part of the equation.
But gas and liquid films at the interface will impede transfer. I have a few textbooks with sketchy information. Much research has been done modeling the phenomena. Good luck on your search. I've studied the problem, but I didn't focus on real examples of such dams.