Circumstances of Extremely shallow acceptor will have a significant impact on the diffusion of contaminants flow. In this study, diffusion and progression parameters in extremely shallow ambient have been investigated. The results showed that the diffusion coefficient decreases with increasing Froude number. This is due to increasing the fluid jet input speed and momentum. On the other hand the results show that, the fluid with a higher concentration has higher diffusion factors and less progression length under the same circumstances. Also diffusion of contaminants fluid in the acceptor ambient, were classified with the initial Froude number due to flow pattern. Studies show that in contaminants flow with Froude number greater than 5, diffusion boundaries are almost similar to the second-order parabolic equation. Coefficients a, b and c were calculated separately for each experiment. While for flows with Froude number lessr than 5, diffusion expanse of flow is almost similar to the oval equation. The 3D mathematical-experimental equation(x, y, t) was obtained for this part. More results show that at all concentrations, the progression parameters increased with increasing densitometry Froude number. While this process changes in a constant rate for all concentrations. The results also indicate dependence of progression parameter to the and Weber number. The effectiveness of Reynolds and Weber numbers on diffusion and flow region shows that they are effective in all concentrations up to specific amount, and negligible after this amount.