The paper reviews recent development in modelling of immiscible WAG processes (IWAG). Several different approaches have been made to model three-phase relative permeability in particular. In most cases capillary pressure has been neglected in application of these models in numerical simulations of IWAG. The argument behind eliminating capillary pressure is to simplify the model, and the assumption that capillary pressure is of less importance for the problem analysed or because there are no experimental data available. This study also shows the consequence of neglecting capillary pressure.
A novel approach to include three-phase capillary pressure is discussed, and also a procedure for estimation of three-phase capillary pressure from more available two-phase capillary pressure data. A practical case study of history matching IWAG core floods is also presented.
Introduction
Numerical simulation of any EOR process is a key to the prediction of incremental oil recovery. Water -alternating -gas (WAG) injection has found an increasing application in both clastic and carbonate reservoirs and at both miscible and immiscible gas conditions 1,2. The addition oil recovery is typically in the range of 5–10 percent of the original oil in place.
WAG injection is an oil recovery method initially aimed to improve sweep during gas injection. Possible improved microscopic efficiency in three-phase zones of the reservoir may come as an added benefit from the WAG injection. Today the WAG process (both miscible and immiscible) is considered for a number of new fields in the North Sea. WAG is defined as any injection of both water and gas into the same reservoir. This including definition covers MWAG (miscible), IWAG (immiscible), HWAG (hybrid), SWAG (simultaneous), and also tertiary gas injection or tertiary water flooding. When miscibility is developed along the gas slug, as gas displaces oil, it is referred to as a miscible WAG. In this case the main purpose of the water slug is to increase the volumetric sweep since the residual oil saturation will be low after the miscible front has passed. Immiscible WAG (IWAG) is pulses of gas and water injected, where the gas cannot develop miscibility with oil. Still some compositional exchanges between gas and oil may be important for the fluid characterization and oil recovery. Hybrid WAG is when a large slug of gas is injected followed by a number of small slugs of water and gas. Simultaneous injection has also been performed, but is reported to give reduced injectivity in some cases.
In this paper immiscible WAG processes will be discussed. This process involves both drainage and imbibition processes, three phase flow modelling approach, and hysteresis in relative permeabilities and capillary pressure. The complexity of the WAG process is further complicated by mass exchanges (swelling and stripping of the oil by the injected gas). The focus is here on fluid flow functions and the mass exchanges are here ignored.
Simulation studies of IWAG3–7 have shown that analytical models like Stone 8 and Jenkins 9 may strongly underestimate the extent of the three-phase zone. The extent of the three-phase zone is influenced by phase trapping and three-phase relative permeabilities, see Figure 1. The residual oil saturation in the three-phase zone may also be reduced compared to two-phase flow, due to effect of trapped gas on residual oil and also three-phase relative permeabilities 10–12.
Experimental studies showed accelerated oil production and higher core flood oil recovery as a result of three-phase flow 10–13. The oil recovery has been related to the trapped gas saturation 11–13, and the influence of the effect of trapped gas is found to be varying with core wettability 13. Experimental results have also shown that both gas and water relative permeability may be reduced during three-phase flow.
Simulation results have shown that the two-phase relative permeability hysteresis models were unable to describe the three phase experiments. The match of WAG experiments was improved by the three-phase relative permeability approach 14,15.