摘要：This paper is intended to achieve a mathematical model for the optimal dimensioning of number and heights of some dams/thresholds during a downpour, a decrease of water flow rate being obtained and by the solid material depositions behind the constructions a new smaller slope of the valley that changes the torrential nature that had before the construction is obtained. The choice of the dam and its characteristic dimensions may be an optimization issue and the location of dams on the torrential (rainfall) aspect is dictated by the capabilities of the foundation and restraint so that the chosen solutions will have to comply with these sites. Finally, the choice of optimal solution to limit torrential (rainfall) aspect will be based on a calculation where the number of thresholds / dams can be a variable related to this, their height properly varying. The calculation method presented is an attempt to demonstrate the multiple opportunities available to implement a technical issue solving conditions offered by the mathematics against soil erosion, which now is currently very topical on the environmental protection. whole
