Numerical simulation of water shut-off performance for heterogeneous layered oil reservoirs

This paper proposes a hydrodynamic model of two-phase three-component fluid filtration in a layered heterogeneous reservoir that takes into account cross-flows between layers and allows prediction of the process of oil displacement by water under conditions of water shut-off near injection and production wells. The numerical calculations show that, in the absence of cross-flow between layers, the oil recovery factor for the entire reservoir is higher with water shut-off near the injection well than with water shut-off near the production well, and this effect grows as the water cut of the high permeability layer decreases. In the event of cross-flow across layers, the oil recovery factor in the entire reservoir is higher with water shut-off near the production well than with water shut-off near the injection well, and this impact grows when water cut in the high-permeability layer decreases. In the absence of crossflow, the gel washout time during water shut-off in the region of both injection and production wells is substantially longer than in the presence of crossflow.