Abstract. Flood control detention facilities have been traditionally designed using the design storm approach. Because of the deficiencies associated with the design storm approach, continuous simulation using long-term historical rainfall data has been recommended for the planning and design of these facilities in order to examine the performance of the system under a wide range of meteorological and hydrological conditions. An analytical probabilistic approach is presented as a computationally efficient alternative to continuous simulation. In this approach the probability distribution of the peak outflow rate from a detention facility servicing an urban catchment is derived from the probability distribution of the rainfall event characteristics that generate the runoff received by the detention facility. These derived mathematical expressions are used to determine analytically the storage-discharge relationship required for a detention facility to achieve the desired level of flood control. Comparison with long-term continuous simulation modeling demonstrates that the closed-form mathematical expressions of the analytical probabilistic approach provide reasonable approximation of the continuous simulation results. The analytical probabilistic approach overcomes some of the conceptual problems of the design storm approach and is therefore proposed for the planning and design of flood control detention facilities.
IntroductionFlood control is usually the first and most important objective of urban storm water management. This is because flooding problems are widespread and are often accompanied by significant economic and environmental consequences. Next to protecting life and property, urban flood control also seeks to minimize the annoying and costly disruption caused by flooding in urban communities. Detention facilities are widely used for flood control purposes. They are designed to store temporarily storm water runoff at or near the point of origin, with a subsequent slow release to downstream channels or storm sewers, and therefore to minimize disruption and damage in downstream areas during both minor and major events. In addition to their primary surface water control function, detention facilities are often designed to provide, or be part of, sites for recreation purposes (e.g., incorporated into a park). Thus the storage areas of a detention facility are usually irregular in shape, and gravity-driven inflow to and outflow from the detention facility are usually most desirable.Some communities have storm water management regulations that specify that for a flood of specific return period the peak discharge rate after the development of a site shall not exceed the peak discharge rate from the site under existing conditions before the proposed development [Walesh, 1989]. Accordingly, some detention facilities are designed on the basis of a single return period criterion. That is, the design does not explicitly address performance under other more or less severe flood events. It is shown that for other t...