If we assume the ocean is sufficiently deep so that the blue light transmitted inside the water gets absorbed completely before it reaches the ocean floor and be scattered back towards the surface, and subtract the contribution of specular reflection of the blue sky, is there any blue color left? How strong is the Rayleigh scattering in water?

For example, the blue color of the oceans far away from the coasts in satellite images should be due to specular reflection of the blue sky, right?