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Elliptic Functions in the Modeling of Waterflooding
- Publisher: European Association of Geoscientists & Engineers
- Source: Conference Proceedings, 75th EAGE Conference & Exhibition incorporating SPE EUROPEC 2013, Jun 2013, cp-348-00367
- ISBN: 978-90-73834-48-4
Abstract
The objective of this paper is to simulate the waterflooding process by double periodic array of vertical wells producing from and injecting into a closed reservoir of constant thickness under pseudosteady-state conditions. For this case we consider, like the method of imaginary sources, a closed reservoir as an element of unbounded doubly periodic array of wells and use the elliptic Weierstrass functions to describe this inflow performance. There are many waterflooding patterns, like four-spot, five-spot, seven-spot, nine-spot, direct-line drive, staggered-line drive, circle, etc. All these patterns are considered as elements of an unbounded double periodic array of wells. The modelling of the fluid flow and oil field development in double periodic array of production wells has been proposed by Astafiev, Kasatkin and Rotes (2012). The subject of the present work is to extend the proposed approach for waterflooding.