Özet:

Abstract In the management of the regulation volumes of the water resource projected for a variety of benefits (hydroelectric uses, irrigation, drinking water, among others), it is essential to calculate the morphometric variables of the reservoirs to anticipate changes in their morphology and predict how these changes could affect projected achievement. In this document, taking into consideration the fundamental concepts of Integral Calculus, the development of an innovative methodology is presented to obtain the Cota-Volume and Cota-Area curves in reservoirs; the methodology was formulated in R programming language with the help of geographic information tools. A computational optimization was achieved for the processing of the variables of level, area and volume of a regulation body respect to the use of traditional methodologies. To validate the developed tool, the capacity curves of regulation volume of the Minas - San Francisco reservoir located in the south of the Republic of Ecuador were obtained. This reservoir was designed to dislodge its sediments with washing processes. This fact has motivated the continuous monitoring of the morphological conditions of the reservoir to plan maintenance processes due to the loss of volume and to the deposit of particles from its tributaries. In addition, an analysis based on wavelets curves was applied to the digital elevation models obtained from LiDAR techniques and bathymetric echo sounder to demonstrate the sedimentation processes that occur in this body of regulation.

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