Secondary Recovery - Single-Fluid Five-Spot Floods in Dipping Reservoirs

To gain an insight into the deviations from normal behavior caused by dip. a mathematical study has been made of single-fluid five-spot floods in dipping reservoirs for flooding techniques likely to be employed in such cases. Streamline patterns and sweep eficiencies are computed for a number of different cases, and the results, where possible, are presented in graphical form. An increase in sweep efficiency can be obtained by moving the central injection well updip, and the opti~num position is found for several cases. The applicnhility of the results is discussed. INTRODUCTION Because of the growing importance of water flooding in California and in other locations where large angles of dip are quite common, it is important to know at least some of the effects of dip on the performance characteristics of water floods in such instances. In the past, only reservoirs having relatively mild dips have been wateflooded. Consequently, little is known today as to the effect of dip on the performance characteristics of a flooding operation from the point of view of field experience; and because of the complexity of the problem, little, if anything, has been done on the problem from the point of view of theory. There are two distinct aspects of the role played by gravity in a flooding operation. The first is that of the preferential segregation of the reservoir fluids at the time when the flood is to commence. The second is the role that it may play in affecting the performance of the reservoir during the course of the flooding operation. In this paper the reservoir is assumed to be filled with only one fluid, so that there is no preferential segregation of reservoir fluids at the commencement of the flood. Moreover, the injected and in-place fluids are assumed to have the same characteristics, so that in effect we consider only a single-fluid problem. Single-fluid results have been used as a guide in the past for predicting and interpreting the behavior of regular five-spot floods in horizontal reservoirs. It is thought that single-fluid results might likewise be used for five-spot patterns in dipping reservoirs as a norm to which the effects of the multifluid problems might he referred.* In confining our attention to the single-fluid case, we therefore do not consider the preferential segregation of injected water in the oil bank, or of the oil bank in the unflooded zone. Instead we consider the deviation from the behavior of a horizontal five-spot which is caused by use of flooding techniques (i.e., the flow potential pattern at injection and production wells) likely to be employed during flooding operations in dipping reservoirs. In other words, we consider effects which are caused by the pattern of injection and production well pressures which we choose to apply. Performance characteristics are given for the five-spot spacing pattern as a function of two parameters; one is the ratio of gravity head to potential difference bctwccn the high updip injection well and the low downdip producer of the same five-spot, denoted by Rg; the second is the orientation of the five-spot pat-