This link seems to include a lot of the "science" behind the bolus method. I dont know if the maths would add up (considering the aragonite forming layer is tiny), but if I were looking for a reason to explain the "Carbonic Acid Battery", well, that'll do.
Ocean acidification due to rising atmospheric pCO2 slows down coral calcification and impedes reef formation, with deleterious consequences for the diversity...
www.frontiersin.org
"While bicarbonate ions are transported actively and passively from seawater into the calcifying fluid, our model shows clearly that carbonate ions leaks out of the calcifying fluid. An increase of seawater carbonate concentrations, therefore, reduces the carbonate gradient between the calcifying fluid and seawater and thus reduces the leakage of carbonate from the calcifying fluid. Consequently, aragonite supersaturation in the calcifying fluid increases, favoring precipitation of aragonite. Ultimately, the precipitation of aragonite requires carbonate ions but, in the light of our findings, we argue that the origin of these is from the dissociation of carbonic acid and bicarbonate in the calcifying fluid rather than from seawater."