 |
| Titel |
Uncertainty Assessment of Interpolation-Based Three Phase Relative Permeability Models |
| VerfasserIn |
Ehsan Ranaee, Giovanni Porta, Monica Riva, Alberto Guadagnini |
| Konferenz |
EGU General Assembly 2013
|
| Medientyp |
Artikel
|
| Sprache |
Englisch
|
| Digitales Dokument |
PDF |
| Erschienen |
In: GRA - Volume 15 (2013) |
| Datensatznummer |
250076771
|
|
|
|
|
|
| Zusammenfassung |
| A major element affecting uncertainty associated with prediction of three-phase flow in
reservoirs is the parameterization of relative permeability. The latter are typically obtained
through interpolation of two phase relative permeability data because of intrinsic difficulties
related to direct measurements. Here, we discuss and analyze the saturation history
dependency of water, oil and gas relative permeabilities and distinguish key features of three-
and two- phase flow configurations. We start by investigating the advantages and limitations
of several methodologies available in the literature and widely adopted in three-phase flow
simulation. This analysis is performed by comparing model outcomes against experimental
data published in the literature. The results provided by considering Corey-type equations as
input to the aforesaid models is compared against the use of linear interpolation of
two-phase measurements from oil-water and oil-gas environment. Our results show that
available models typically fail to reproduce the set of experimental results ever the
full range of saturations. This analysis suggests that not only saturation history
but also wettability, residual oil and trapping behavior of oil during drainage and
imbibition are key elements distinguishing between the physics of two- and three-phase
settings. These effects should be taken in account to predict three-phase relative
permeability.
We then propose an alternative formulation to compute oil relative permability under
three-phase conditions. Our model takes into account (i) the dependence of three-phase oil
relative permeability on the saturation path, and (ii) the effect of wettability observed for
three-phase systems. The model is based on a sigmoid-type interpolation of the oil relative
permeability-saturation data in a two-phase oil-water system. Three-phase oil relative
permeability is then computed through an additional interpolation between the oil-water
effective sigmoid curve and the oil-gas two-phase data. Model results are compared with
experimental data for secondary water injection and primary gas injection. Sensitivity of the
model outcome to the sigmoid interpolation parameters is considered through an uncertainty
quantification study.
Keywords: oil relative permeability, WAG, cycle dependency, trapped oil. |
|
|
|
|
|
|