A Kagoshima prefecture, very simple numerical model for the hydrological analysis of Wantoubaru groundwater basin, Kikaijima island, is proposed.
The hydrogeological setting of the basin is as follows; the basement rock of the basin is mudstone of the Shimajiri Group (Pliocene-Pleistocene) and the aquifer is limestone of the Ryukyu Group (Pleistocene). The limestone is very permeable and forms many caves or holes, therefore all the rainfall on the basin permeates down into this limestone or these holes and it is added straight to groundwater. And the groundwater in the limestone rapidly flows downstream in the basin.
The proposed numerical model represents unsaturated permeable flow (vertical flow) and saturated groundwater flow (horizontal flow). The vertical flow model is reformed from Sugawara's tank model and the vertical permeability coefficient (
Kv) is related to the runoff coefficient of a tank (
a) by the following equation,
Kv=1.443·
a·
l,
where
l is the distance between the surface and the groundwater level. And the horizontal flow model is based on the Darcy's law.
When we apply this model to Wantoubaru basin, the vertical flow model may be splitted into two tanks; one of them represents limestone which has many small cracks, and another represents caves or holes. The vertical permeability co-efficient of the former tank is obtained from the data of the pumping tests at Minafuku experimental subsurface-dam in Miyakojima island, Okinawa prefecture. The coefficient of the latter is obtained from the span between a peak of rainfall and the corresponding peak of groundwater level. The horizontal permeability coefficient is obtained from the data of pumping tests in Miyakojima and Kikajima island.
The result of the calculation by this model is agreed with the observed groundwater level. Therefore, we may be able to use this model for the analysis of unconfined groundwater.
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