| Abstract: | Because of the rapid changes in saturation which take place in the immediate vicinity of a displacement front, it is not possible to estimate relative permeabilities over the entire saturation range of interest when using the external-drive method. It is demonstrated in this study that this limitation can be removed, if data from an unstabilized and/ or unstable displacement are used. Furthermore, it is shown that use of such data is permissible, provided: (a) saturation profiles and pressure gradients in both phases can be measured directly; (b) the external-drive theory is modified to account for the existence of capillary pressure gradients; and (c) the analysis is carried out from a Lagrangian rather than a Eulerian point of view.A comparison of relative permeabilities obtained by using the Lagrangian method with those obtained using the conventional (without capillary pressure term) and the modified (with the capillary pressure term) Eulerian methods was undertaken to demonstrate the effect of the neglect of the capillary pressure term on relative permeabilities. Also investigated in this study was the impact of instability on the relative permeability and capillary pressure curves for unstable displacements and the effect of instability on the saturation profiles, fractional flow curves and the residual oil saturation. In addition, the effect of instability on the residual oil saturation was studied. |
