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Journal of Natural Gas Science and Engineering
journal homepage: www.elsevier.com/locate/jngse
Sensitivity of unsteady-state gas-water relative permeability to experimental
artefacts and interpretation techniques; case study from a gas reservoir in
south Iran
Milad Farahani
a
, Hamed Aghaei
b,∗
, Syed Reza Asadolahpour
c
a
Special Core Analysis Lab, PetroMakhzan Kav (PMK), Tehran, Iran
b
Digital Rock Physics Research Group, School of Chemical, Petroleum and Gas Engineering, Shiraz University, Fars, Iran
c
Reservoir Engineering System, Petroleum Engineering Dept., National Iranian South Oil Company (NISOC), Ahvaz, Iran
ARTICLE INFO
Keywords:
Gas relative permeability
End-efect
Gas slippage
Anhydrite dissolution
History matching
ABSTRACT
Relative permeability is a key determinant of how a reservoir simulation model performs. Although laboratory
measurement techniques for two-phase relative permeability are well-established, but still the difculties and
uncertainties persist. The present study aims to investigate the efect of several parameters, including pressure
diference, end-efects, interpretation techniques (analytical and numerical), and mineral dissolution, on the
unsteady-state gas-water relative permeability curves. For this purpose, a number of precisely planned experi-
ments were carried out on two subsurface anhydrite dolomite samples collected from a well-known gas reservoir
in south Iran.
In summary, the measured gas relative permeability (k
rg
) was underestimated at low injection pressures
mainly due to the capillary end-efect and a signifcantly low volume of brine production in compare to the
considerable volume that was retained at the end face. Moreover, despite the end-efect was overcame at high
injection pressures, but signifcantly high k
rg
values were recorded at water saturations close to the residual
value and the measurements were corrected considering a gas slippage factor at the endpoint.
Furthermore, greater wetting phase relative permeability (k
rw
) values were driven from numerical (history
matching) interpretation of the results compared with the analytical approach that could be due to the automatic
end-efect correction by the numerical techniques where the capillary pressure is accounted for.
Finally, to investigate the efect of anhydride dissolution on overestimation of the measured gas relative
permeability, the interaction of NaCl brine with anhydride was reviewed using the Computed Tomography (CT)
images taken before and after the test.
1. Introduction
Relative permeability, being one of the most crucial properties of a
reservoir rock-fuid unit, is defned as the measurement of ability of a
medium to conduct one fuid in the presence of others, and can be
determined through the interplays of porosity, permeability, wett-
ability, heterogeneity, fuid saturation, and saturation history.
Today, several well-established laboratory techniques exist for two-
phase relative permeability measurement mainly based on the fow
experiments. However, the steady-state (SS) and unsteady-state (USS)
relative permeability measurements are by far the two most common
approaches compared with the other reported methods, such as, cen-
trifuge and Digital Rock Physics (DRP).
The USS technique is primarily based on interpretation of the data
obtained during an immiscible displacement process (Dandekar, 2013)
where the displacing phase (typically water or gas) is injected, either at
constant pressure or constant rate, up to a predefned cessation cri-
terion. Next, it will be following by measurement of the fnal end-point
efective permeability to the displacing phase at residual saturation of
the displaced phase. Generally, a constant pressure is preferred in the
gas-liquid systems as it provides the chance for a precise control over
the pressure.
In a gas-water mode, the gas (N
2
) is pressed through a water-satu-
rated core sample and the gas-water relative permeability will be esti-
mated based on volumes of the injected gas and the produced water.
The Buckley-Leverett equation, as modifed by Welge, provides the
foundation for calculation of the unsteady-state relative permeability
where the gas relative permeability can be determined from the
https://doi.org/10.1016/j.jngse.2019.102998
Received 8 February 2019; Received in revised form 6 August 2019; Accepted 5 September 2019
∗
Corresponding author.
E-mail address: aghaei.hamed@gmail.com (H. Aghaei).
Journal of Natural Gas Science and Engineering 71 (2019) 102998
Available online 09 September 2019
1875-5100/ © 2019 Elsevier B.V. All rights reserved.
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