Abstract
It is characteristic of the oil fields in Japan that strata are steep and reservoirs are limited. Therefore, the study of water flooding at limited and steep oil reservoirs is very significant, especially in our country. The writer tried to analyse the up-dip flooding where producers are directly opposite to injection wells (cf. Fig. 1.) from the viewpoint of solving the boun-dary-value problem for the 2-dimensional, steady flow of single and incompressible fluid through porous media. Thus the derived results for the pressure distribution; the relation between well pressures, injection (or production) rate and dip of strata; the loss of flow capacity against the gravity; and the sweep efficiency are (6) or (7); (10), (15) or (16); (17) or (18); and (24) or (25), respectively.