To identify the drought and flood control functions of an irrigation reservoir, research on hydrological analysis and its impact needs to be conducted. To this end, geographical characteristics, such as the cross section of the reservoir, are important, but such information is insufficient. Therefore, this study aimed to identify the topographic and morphological characteristics of reservoirs without measured data using their geographical information. In addition, an attempt was made to identify the morphological characteristics of reservoirs that had collapsed due to aging and the increased frequency of occurrence of strong rainfall intensity caused by climate change. Ten reservoirs, including the Ga-Gog Reservoir located in Miryang city, Gyeongsangnam province, South Korea with measured data, were selected as target reservoirs. The topographic information of the target reservoirs was constructed using topographical maps and GIS techniques. Based on the information, the volume (V)-area (A)-depth (H) relationship and the hypsometric curve (HC) according to the relative height (h/H) and relative area (a/A) were created. When the volume of each reservoir estimated using topographic information was compared with the measured volume, the error rate was found be between 0.23 and 14.27%. In addition, two reservoirs that had collapsed near Miryang city were added, and the V-A-H relationship and HCs were created based on the topographic information. In addition, the morphology index, storage-area of full water-levee height relationship, and storage-area of full water relationship were analyzed to identify the morphological characteristics of the reservoirs. The analysis results showed that the collapsed reservoirs had a relatively high water depth and a large area. In addition, similar types of reservoirs were grouped by conducting cluster analysis using basic specifications, such as the reservoir watershed, storage, and area of full water. When the cluster analysis results were analyzed based on HC, the reservoirs were grouped into three shapes: convex upward shape (youthful stage), relatively flat shape (mature stage), and convex downward shape (old stage). The HCs of the collapsed reservoirs exhibited the convex downward shape (old stage), indicating that they were subjected to considerable erosion due to aging. In other words, considerable erosion makes the allowable storage capacity insufficient due to the large amount of sediment accumulated in reservoirs and reduces their flood control capacity, which may cause them to collapse during heavy rainfall. Therefore, it is expected that identifying the potential causes of reservoir collapse through the morphological characteristics and HCs of reservoirs will support the operation and management of reservoirs for reducing flood damage.