Wettability plays an influential role in fluid flow behavior within a reservoir. Despite of its importance, it is not usually given the required significance during simulation studies. Different types of wettability may exist or co-exist within a reservoir which may change with the passage of time, depending on the prevailing conditions within a reservoir and also on the fluids which are injected for the purpose of enhanced oil recovery. In order to account for the effect of such wettabiliy variations on fluid flow behavior, a set of correlations have been developed to estimate capillary pressure, when the data from the core at extremely water-wet conditions is known. In this paper the developed set of correlations are further modified, so that they can be used quite effectively, when the capillary pressure data for any wettability conditions is known.
Introduction
Wettability can be defined as the ability of a liquid to coat the rock surface. It ranges from extremely water wet to extremely oil wet. Wettability can be expressed in a qualitative and as well as in quantitative way. However, expressing it in a quantitative way is frequently used, because of its better way of representation (Zahoor et. al., 2009). In a quantitative way it can be expressed in terms of contact angle, but it gives the wettability of that point/area only and the other way of its representation is by using wettability index, which is considered even better, as it gives average wettability, based on pressure vs. saturation change within a core (Zahoor et. al., 2009). Wettability index ranges from +1(0°) to -1(180°) for strongly water wet to strongly oil wet rock respectively.
When one is known the other can be calculated by taking cosine or inverse cosine, i.e,
W.I = Cos(?)
Effect of Wettability on Fluid Distribution and Capillary Pressure
Wettability controls the location/ distribution of a fluid within a reservoir. If the rock is water wet, the water will occupy the small pores while the oil will occupy the larger pores and vice versa (Pirson, 1958; Raza et. al., 1968; Donaldson et. al., 1971). So, the displacement of wetting phase which have relatively high force of adhesion with the rock surface and occupies the small pore spaces, requires higher displacement pressure to initiate the displacement process. Experiments conducted by Killins et. al.(1953), shows the behavior of capillary pressure curve under strongly water wet to strongly oil wet conditions as shown in figs 1 to 4.
Before initiating the displacement process, the phase to be displaced is continuous, so when the displacement process initiates, it can be displaced efficiently at quite uniform pressure, which is slightly increasing (this behavior depends on the type of fluids involved, and core properties, depending on it, comparatively higher increasing pressure may be required for displacement). With the passage of time as the respective phase saturation is reduced, it becomes discontinuous, so further increase in pressure is required to continue the process (Anderson, 1987). With further decrease in saturation, this phase discontinuity increases, thus requiring even greater pressure, to continue the displacement process. When the capillary pressure curve becomes almost vertical, it is the time when no further displacement can take place and the saturation at this point is known as residual saturation of the displaced phase (Anderson, 1987). Based on this phenomenon, capillary pressure curve can be divided into three parts, namely (Derahman and Zahoor, 2008):