
198 METALLURGY AND CORROSION CONTROL IN OIL AND GAS PRODUCTION
where:
R
p
= polarization resistance, Ω (ohms)
I
corr
= corrosion current, amps
β = the Stern – Geary constant
The Stern – Geary constant can be calculated from theo-
retical considerations or directly measured in separate
experiments.
4,29 – 33
As a practical matter, most instru-
ment suppliers sell their instruments calibrated based
on the “ average ” Stern – Geary constant for iron and
carbon steel and on the assumption that corrosion of
iron produces Fe
+ 2
ions (instead of Fe
+ 3
ions). These
assumptions are justifi ed for monitoring purposes,
because the purpose of electrochemical monitoring is to
determine if the corrosion rate is changing or is remain-
ing steady. The absolute corrosion rate is not deter-
mined, but that is not the purpose of monitoring.
LPR instruments can determine changes in corrosion
rates within minutes, sometimes even seconds. This
real - time indication that corrosion rates are changing is
the main advantage of this technique over the simpler
and more widely used ER technique, which may take
hours or days to respond to changes in corrosion
conditions.
Like all electrochemical monitoring techniques, the
electrodes must be kept free of fouling from oily depos-
its. This is a major limitation and is the reason why this
technique is not more widely used in production moni-
toring before separation processes remove hydrocar-
bons from water.
Tafel Extrapolation This technique uses the same
instrumentation as used in LPR monitoring, and most
instruments are sold with the option of operating in
either the LPR or the Tafel extrapolation mode. At
potentials greater than a few millivolts from the equi-
librium (corrosion) potential, potential - current plots
frequently become linear on a log - linear plot when the
potential is plotted on a linear basis and the current on
a logarithmic scale. This is shown in Figure 7.23 .
Prior to the application of applied current the volt-
meter reads the corrosion potential relative to a refer-
ence electrode. As applied current is increased, the
applied current versus potential curve shows no change
in potential when most of the reduction current on the
working electrode is due to the corrosion reaction.
Eventually, the effects of the applied cathodic current
become apparent and the curve slopes downward. Once
most of the current is due to the applied current, the
slope becomes linear and the original current becomes
neglible. The log - linear portion of a polarization curve
is called the “ Tafel region, ” in recognition of the
•
Linear polarization resistance (LPR)
•
Tafel extrapolation
•
Galvanic monitoring
•
Electrochemical noise
•
AC impedance spectroscopy
The fi rst three techniques are appropriate for use in
oilfi eld monitoring applications. The latter two, while
they have many laboratory and research - oriented advo-
cates, cannot at the present time produce better results
than LPR and Tafel extrapolation. They also require
much more expensive, and delicate, instrumentation,
and will not be discussed, even though they do appear
in the corrosion literature and standards.
Most of these techniques are based on Faraday ’ s law,
which shows a direct relationship between electric
current and the mass of metal lost or deposited in an
electrochemical cell. The determination of corrosion
rates also depends on knowledge of the valency (oxida-
tion state) of the corrosion reactions.
7
Most instruments
are factory calibrated based on the assumption that the
corroding metal is iron or carbon steel and corrosion
produces Fe
+ 2
(instead of Fe
+ 3
) ions. This is a conserva-
tive approach and is appropriate for corrosion monitor-
ing, where changes in corrosion rates are more important
than the determination of the true corrosion rates.
LPR Linear polarization probes are sold with elec-
trodes made from the material being monitored; in most
cases this is carbon steel. The probes are small and can
be inserted into the fl uids of interest in the same manner
as ER probes. The technique is based on the observa-
tion that at potentials very near ( ± 20 mV) the corrosion
potential, the voltage versus current plot is frequently
linear. This is shown in Figure 7.22 .
The polarization resistance, R
p
, is the slope of the
voltage versus current line near the corrosion
potential.
4
R
E
I
p
=
Δ
Δ
(Eq. 7.1)
where:
R
p
= the polarization resistance, Ω (ohms)
Δ E = the change in potential
Δ I = the change in current
The polarization resistance is then converted to a
corrosion current using the Stern – Geary equation,
Equation 7.2 :
4
I
R
corr
p
=
β
(Eq. 7.2)
c07.indd 198c07.indd 198 10/29/2010 10:36:06 AM10/29/2010 10:36:06 AM