From viewpoint of the risk estimation of heavy metal contamination in the mining country has great importance realisation of digital model of the landscape. It is necessary study the terraine inclination and bending, surface water runoff, potential and actual erosion because these characteristics have terminative influence on water percolation through the dump-field technogenous sediments and heavy metal contamination spreding. Modeling of these indicators enable state the risk of the country contamination as well as find the best solutions for the country remediation. The results at the Ľubietová deposit (area of Podlipa and Reiner dump-field) show that the terrain beneath the dumps is endangeret by erosion and heavy metal pollution contamination; much more at Podlipa area and only in limited extent in the surrounding of the Reiner dump-field area.