Water Flooding in Inclined Reservoirs

No. 3

Abstract

In his previous papers, NO. 1 &No. 2 in this Journal, the present author made an engineering study on single-fluid updip floodings in closed dipping reservoirs. In this paper, however, similar problems in open dipping reservoirs were discussed by solving boundary-value problem [cf. formulae (1)-(5), (1)'-(5)'] in 2-dimensional steady flow of single and incompressiblefluids through homogeneous and symmetrical anticlinal reservoirw. At the same time₁ comparisons were made in many respects between direct [cf. Fig. 1] and staggered line floods [cf. Fig. 2] and between open and closed reservoirw [cf. No. 1, 2]. The derived results on velocity-potential distribution [cf. (6)]; pressure distribution [cf. (7)]; streamline distribution [cf. Fig. 3, 4, formulae (8), (8)']; production-to-injection rate ratio [cf. (9), (9)', (10), (10)', Fig. 5, 6, 7]; relations among well pressure difference, angle of dip and production rate [cf. (11), (12), (12)', Fig. 8]; loss of flow capacity [cf. (13), (14), (14)', Fig. 9]; analytical expression of sweep efficiency and breakthrough time [cf. (15), (16), (17)]; their relations to initial position of edge water [cf. Fig. 10]; to well pattern [cf. Fig. 11, 12]; to production-to-injection rate ratio [cf. Fig. 13]; to angle of dip and injection rate [cf. Fig. 14], are presented here.