被圧帯水層上辺に設けた集水施設の浸透流量の算定式

抄録

The present study has a principal purpose to obtain a theoretical formula for the quantity of water flowing into an infiltration gallery, permeable only from the bottom, in case that the infiltration gallery is settled on the upper surface of the water-saturated uniform pervious layer which is coverad by the impervious layer. The complex potential theory and Schwarz-Christoffel transformation are used in derivation. In case of the finite thick pervious layer, the calculated results of the formula agree well with the experimental results obtained by Hele-Shaw model with using the moter oil. And it is revealed that Maekawa's formula, which is the commonest one in use, generally leads to the noticeable error. In case of the infinite thick pervious layer, the derived formula and the former one agree precisely. Following results are obtained through the calculations. The numerical results calculated both by the formula of the infinite thick pervious layer and by the tormula of the finite one agree approximately in case that the thickness of the layer is a length about equal to the distance which the hydraulic pressure head recovers to the original one (distance of influence). Even if the bottom width of the infiltration gallery is changed, the quantity of water is almost constant in case that the distance of influence is longer than the ten times length of the thickness of the layer. The formula is also presented for the quantity of water injected by the infiltration gallery into the pervious layer under the same boundary conditions treated above.