In India, it is statutory function of Central Pollution Control Board (CPCB) under the Water (Prevention and Control of Pollution) Act, 1974 to lay down, modify or annul, in consultation with the State Government concerned, the standards for a sea or tidal water. The CPCB has prescribed water quality criteria of marine water for only designated usage. It includes standards for some heavy metals.
You have to looking for the agency or entity in your country (such as the EPA in USA) where these parameters are regulated and then find the standard that establishes the limits of heavy metals in that specific "kind of water". Each receiving body (like sea, river and sewerage) has its specific limits.
In European Union there are EQS (Environmental Quality Standards) for coastal and transitional waters. I attach the directive. They have to be compared with the average of at leats 12 annual measurements in waters. The metals are Ni, Pb, Hg and Cd