It all depends on the type of industry. Metals are ubiquitous in surface waters, however, their concentrations are generally very low, which explains their denomination of “trace metals” or “trace metallic elements” (TME). TMEs are commonly present in the earth's crust, so weathering and erosion of rocks naturally supply surface waters with TMEs (Elder, 1988). However, when the mining activity begins with the exploitation of a deposit rich in metals, a change takes place particularly in the waters in contact with these mining works. Certain elements which are present in the crystal lattices of minerals and which are generally difficult to release are dissolved and dispersed in the environment. Many observations have indicated that the deposits of waste rock and mining waste in the vicinity of the mine tiles constitute an important source of contamination, which is easily mobilized. This mobility will depend on intrinsic factors such as volume of waste, type of waste rock, the abundance of sulphides, porosity, degree of compression, etc.
When it comes to the mining industry, the metals to look for in surface water are Zn, Pb, As, Cd, Cu, and Sn and assess the potential dispersion.
Heavy metal contamination in surface waters around an industrial area will mainly depend on the type of industry. I agree with Prof. Achour's answer. Furthermore, the analysis techniques that must be used will also be a very important criterion for the reliability of your results.
I agree with Prof. Archour's answer, to quantify heavy metals in surface water you have to consider the industry around the area where you collect the surface water. For an instant, if there is a steel manufacturing industry within the proximity there will be Fe, Zn, Mn, Pb and Cr heavy metals which are regarded as the maker elements of steel production.
Just a note - when sampling the water, note the pH of the water. I'm sure it will be neutral in the neutral range, but metals will leach out of water as the pH changes. Not all metals leach out at the same pH.