Further Discussion on Combination Method for Predicting Waterflood Performance for Five-Spot Patterns in Stratified Reservoirs

The authors have done a commendable job in combining a number of recognized waterflood performance prediction methods into one composite method. The availability of a FORTRAN program for this composite method should encourage its widespread industry use. Pan American has had a computer program developed along similar lines for a number of years,' and it has received more use than any other reservoir prediction method. In three important stages of a pattern waterflood, the authors fail to consider fully the effects of water-oil mobility ratio on performance. This is discussed in the following paragraphs and modifications of the prediction method are suggested. During the early stages of a waterflood in a partially depleted formation, the injected water and its preceding oil bank move out radially from the injection wells. As pointed out in the author's paper the method of Yuster and Calhoun2 or predicting the water injection rate during this period assumes that the mobilities of the water and oil are equal. In his book, Muskat3 resents a modification of the Yuster-Calhoun approach that considers fully the influence of water-oil mobility ratio. In Muskat's method, the prediction of the injection rate-injected volume-time relationship is expressed in readily programmed dimension-less unts. At and following fillup the five-spot pattern consists of a water-invaded pattern with the remainder of the pattern containing only oil and connate water. In the paper, Eq. 18 is used to calculate the water injection rate at fillup. This equation considers that the entire pattern is invaded by water. To properly consider both the incomplete areal sweep of water and the water-oil mobility ratio, Eq. 18 should read: