Abstract
The daily depletion factor K describes the discharge decrease of rivers only fed by groundwater in the absence of rainfall. In the Senegal, Gambia and Niger river basins in West Africa, the flow recession can exceed 6 months and the precise knowledge of K thus allows discharge forecasts to be made over several months, and is hence potentially interesting for hydraulic structure managers. Seasonal flow recession observed at 54 gauging stations in these basins from 1950 to 2016 is represented by empirical and usual conceptual models that express K. Compared to conventional conceptual models, an empirical model representing K as a polynomial of the decimal logarithm of discharge Q gives better representations of K and better discharge forecasting at horizons from 1 to 120 days for most stations. The relationship between specific discharge Qs and K, not monotonous, is highly homogeneous in some sub-basins but differs significantly between the Senegal and Gambia basins on the one hand and the Niger basin on the other. The relationship K(Q) evolves slightly between three successive periods, with values of K generally lower (meaning faster discharge decrease) in the intermediate period centered on the years 1970–1980. These climate-related interannual variations are much smaller than the seasonal variations of K.
Highlights
IntroductionAccording to [1], “the decrease of discharge corresponding to the emptying of groundwater without any precipitation is called the flow recession of a river”
For 54 stations located in the Senegal, Gambia and Niger river basins, we model the flow recession of rivers from observed values of the daily depletion factor K over the period 1950–2016
Compared to the above stations, those in the Niger Basin have very different seasonal variations of K, with smaller amplitude (Figure 6h–j): K decreases with D for about 2 months from a very high value at the beginning of the recession period, and changes relatively little for most stations
Summary
According to [1], “the decrease of discharge corresponding to the emptying of groundwater without any precipitation is called the flow recession of a river”. This stream flow regime has been the subject of numerous studies, including reviews [2,3]. Among the oldest works, [4] established the differential equation governing the discharge of an aquifer in a homogeneous ground. This author derives two conceptual models that give the discharge rate of the groundwater into a river under certain boundary conditions. The first, which is the most widely used recession model [1,5], is described as linear [2]
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