What happens when weak acids in ground water come into contact with limestone?

Limestone (CaCO3) in the presence of acid converts into carbon dioxide and ions of cacium. The chemical formulae are:

CaCO3(s) + H3O+(aq) = Ca2+(aq) + HCO3-(aq)

HCO3-+ H3O+(aq) = CO2(aq) + 2 H2O(l)

H3O+(aq) + CO32-(aq) = HCO3-(aq) + H2O(l)