Water Flooding in Inclined Reservoirs (No. 2)

Abstract

In his previous paper No. 1 in this Journal, the present outhor made an engineering study on single-fluid direct line floods in dipping reservoirs. In this paper, however, similar problems on staggered line floods [cf. Fig. 1] were discussed by solving by boundary-value problem [cf. formulae (1)-(5)] on 2-dimensional steady flow of single and incompressible fluids through homogeneous and symmetrical anticlinal reservoirs. At the same time, they were compared in many respects with those in direct line flooding cases. The derived results on velocity-potential distribution [cf. formula (6)]; pressure distribution [cf. (7)]; streamline distribution [cf. Fig. 2, 3 & formula (8)]; relations among well pressure difference, injection (or production) rate and angle of dip [cf. (9), (9)' & Fig. 4]; loss of flow capacity against gravity [cf. (10), (10)'& Fig. 5]; analytical expression of sweep efficiency and breakthrough time [cf. (11), (12)]; their relations to initial position of edge water [cf.Fig 6]: to well pattern [cf. Fig. 7, 8], are presented here. Moreover, it is shown that sweep efficiency for closed reservoir is independent of angle of dip and injection rate, in both staggered and direct cases and the former sweep efficiency is always larger than the latter one [cf. Fig. 6, 7, 8].