International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395 -0056
Volume: 04 Issue: 04 | Apr -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 767
An Empirical Correlation for Two-Phase Inflow Performance
Relationship in Horizontal Oil Wells
Ramadan Emara
1, 2
1
(Home) Mining and Petroleum Engineering Department, Faculty of Engineering, Al Azhar University
2
(Secondment) Petroleum and Natural Gas Technology Department, Faculty of Engineering,
The British University in Egypt
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Abstract - The appropriate method to increase the well
productivity in low permeability and naturally fractured
reservoirs is the horizontal well because of its large reservoir
contact area. Several investigators have utilized reservoir
simulation to evaluate the horizontal well performance in
solution gas drive reservoirs. This research scrutinizes the
performance of a two phase inflow for a horizontal oil well
producing through the boundary dominated flow regime. A
430 data points were collected from simulation of 43 data sets
of fluid property, relative permeability and reservoir geometry.
All data sets were investigated from initial pressure to
minimum bottom-hole pressure. Linear regression analysis
was used to develop an empirical inflow performance
relationship (IPR) based on the simulator outcomes. Statistical
analyses were used to evaluate the performance of the
developed correlation. The obtained outcomes include an
average relative error (ARE) of 0.78, an average absolute
error (AARE) of 2.37 and coefficient of regression (R
2
) of 0.995.
The presented IPR relationship was compared to other
horizontal inflow performance relationships available in
literature. The proposed correlation exhibited suitable
approximations of well performance over a wide range of
operating circumstances.
Key Words: Two-phase IPR; Solution gas drive reservoir;
Horizontal oil well IPR.
1. INTRODUCTION
The main task of a petroleum engineer is to enhance the well
productivity. The horizontal well is the suitable solution for
this purpose because of its reservoir contact area. The
horizontal well accomplishes higher ultimate recovery than
a vertical well in certain reservoir condition. In low
permeability and naturally fractured reservoirs, the
horizontal well represents the economic solution.
The horizontal well represents an appropriate method
for both production and injection in several enhanced oil
recovery applications. Many researchers have used reservoir
simulation to study the horizontal oil well behavior. These
researches have led to present empirical correlations
of IPR to estimate the performance of a horizontal oil well. In
1968, Vogel
1
investigated the performance of a vertical well
in a solution gas drive reservoir. He developed an empirical
IPR based on the investigation of simulation outcomes, and it
was simple to apply and gain rapid approval by industry. In
1973, Fetkovich
2
scrutinized data of multi-rate tests
accomplished in 40 boundary- dominated flow oil wells of 6
different oil reservoirs. He displayed that, once the gas
saturation of oil wells becomes larger than the critical gas
saturation, the typical inflow performance relationship (IPR)
of gas wells can also be applied for oil wells. The presented
IPRs were for vertical oil wells and could not be suitable for
horizontal oil wells. In 1987, Plahn et al.
3
utilized a reservoir
simulator to study the effect of different reservoir rock and
fluid properties on the behavior of multiphase flow of
horizontal oil wells in a solution gas drive reservoir. They
presented a set of type curves to predict the production from
horizontal oil wells. In 1989, Bendakhlia and Aziz
4
investigated the horizontal oil wells performance in a
solution gas drive reservoir using a commercial reservoir
simulator. The authors concluded that, the reservoir fluid
and rock properties did not affect significantly on the IPRs.
They presented an IPR function of the stage of reservoir
depletion. In 1990, Cheng
5
investigated the performance of
slanted and horizontal oil wells using a
vertical/horizontal/slanted well simulator (Boast VHS). The
author observed that, the IPRs for horizontal
and slanted wells proceed like to the
Vogel’s IPR parabolic shape. He developed separate
empirical IPRs corresponding with various angles. In 1998,
Retnanto and Economides
6
scrutinized the horizontal and
multibranched oil well performance in a solution gas drive
reservoir using reservoir simulation. Based on nonlinear
regression the authors developed an empirical IPR using
simulation results. In 2005, Wiggins
7
investigated the
performance of a horizontal oil well in a solution gas drive
reservoir. The well was fully penetrating the reservoir
producing through the boundary dominated flow regime. He
presented two IPRs base on simulator results linear
regression analysis. In 2013, based on linear regression
analysis, Jabbar and AlNuaim
8
introduced an equation of IPR
for a horizontal oil well producing from a solution gas drive
reservoir using simulation results. The authors regressed the
coefficients of the Harrison exponential equation to produce
their equation. In 2013, Mohammadreza et al.
9
presented a
Vogel-type IPR relationship based on regression analysis.
They concluded that, the coefficients of their equation is a
function of vertical and horizontal permeability ratio. In
2015. Ali Musa and Enamul
10
developed correlations of IPR
based on regression analysis of actual data. The data was 62