new approach to obtain in-situ live fluid compressibilty in formation testing
DESCRIPTION
New approach to obtain in-situ live fluid compressibilty in formation testingTRANSCRIPT
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SPWLA 55th
Annual Logging Symposium, May 18-22, 2014
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A NEW APPROACH TO OBTAIN IN-SITU LIVE FLUID
COMPRESSIBILITY IN FORMATION TESTING
Li Chen, Adriaan Gisolf, Beatriz E. Barbosa, Julian Youxiang Zuo, Vinay K. Mishra, Hadrien Dumont,
Thomas Pfeiffer, Vladislav Achourov
Copyright 2014, held jointly by the Society of Petrophysicists and Well Log
Analysts (SPWLA) and the submitting authors.
This paper was prepared for presentation at the SPWLA 55th Annual Logging
Symposium held in Abu Dhabi, United Arab Emirates, May 18-22, 2014.
ABSTRACT
Compressibility and density are important fluid
properties that are used in dynamic reserve
calculations such as the material balance equation
and reservoir simulation. Compressibility is
normally obtained from pressure-volume-
temperature (PVT) measurements performed in the
laboratory. However, for samples obtained at
reservoir pressures exceeding 15,000 psi,
extrapolation techniques are sometimes used,
introducing uncertainty in the calculated results.
A new approach has been developed to obtain
compressibility from downhole fluid analysis
measurements up to 25,000 psi. A formation
testing tool pumps formation fluid from the
reservoir. Pressure and density of the pumped fluid
are measured in the flowline of the tool. A change
in pressure may be induced by a change in pump
rate and/or by closing valves in the tool. These
dynamic pressure and density data are used to
calculate compressibility.
When the density sensor is placed between the
formation interface module and the pump, density
is measured at and below formation pressure. In
this scenario, no extrapolation is required to derive
compressibility in situ at reservoir conditions. It is
possible to place the density sensor downstream of
the pump. Density is then measured at and above
mud pressure. The obtained pressure-density cross
plot can be used, not only to derive the fluid
compressibility, but also to extrapolate the density
and compressibility to reservoir pressure or, if
desired, to saturation pressure. The measurement
of pressure and density, the compressibility
calculation, and the density extrapolation are all
performed in real time during data acquisition with
the tool in the well.
This method has been successfully applied in Gulf
of Mexico and other deep-water wells for various
fluid types. The presented data examples cover
high pressure (>20,000 psi) environments. The
calculated compressibility and measured or
extrapolated density values are validated by
laboratory measurements for the lower pressure
examples. Additionally, a best practice has been
developed for various formation testing tool
configurations to maximize the quality of the
obtained compressibility data.
INTRODUCTION
Availability of accurate fluid properties (McCain,
1990) is critical to the success of reservoir
engineering processes such as reserve estimation,
production potential and design, field development
planning, and flow assurance. Fluid properties are
routinely determined from laboratory
measurements performed on fluid samples. Such
samples can be obtained with, for example,
wireline formation testers, formation sampling-
while-drilling tools, bottom hole drill stem test
(DST) sampling tools, or separator samples.
Today, many fluid properties, such as (limited
range) composition, gas-oil ratio (GOR), density,
and viscosity can also be obtained downhole in
real time with formation tester fluid analyzers
(Mullins, 2008; Achourov et al., 2011). There are
many reasons that real-time availability of fluid
properties is important: fluid DFA and sampling
programs can be optimized, Fluid grading studies
can be performed and downhole fluid analysis
(DFA) can be a critical input to reservoir
compartmentalization studies. Furthermore,
decisions about the reservoir, the well, completion,
and production can be made based on DFA before
laboratory analysis is available. DFA
measurements can also be used in the absence of
the laboratory measurements, when fluid samples
are not available or, in some cases, when reservoir
condition exceeds the laboratory pressure or
temperature limits. This paper will discuss a new
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method to determine isothermal fluid
compressibility downhole.
Fluid compressibility is used in dynamic reserve
estimation and in assessment of production
potential through different drive mechanisms.
Compressibility is a function of pressure. For
compressible fluids such as hydrocarbons above
saturation pressure, compressibility changes
continuously with pressure in a nonlinear fashion.
Therefore, compressibility measurements are
performed over a range of pressures at constant
temperature. Typically the reservoir temperature is
chosen.
COMPRESSIBILITY FROM LABORATORY
MEASUREMENT
Isothermal compressibility is historically
determined from constant composition expansion
(CCE) experiments conducted in the laboratory.
CCE experiments are performed by placing a fluid
sample in a visual pressure-volume-temperature
(PVT) cell at constant temperature. Incremental
pressure changes are induced, and the change in
fluid volume is measured at each pressure step. As
long as the pressure remains above the fluid
saturation pressure, the isothermal compressibility
can be derived from the recorded pressure and
volume data. For a crude oil system, the
isothermal compressibility coefficient of the oil
phase is defined for pressures above the saturation
pressure by one of the following expressions
(Tarek, 2006):
TP
V
VC
1 (1)
TPC
1 (2)
V can be replaced by relative volume Vr.
bp
Tr
V
VV (3)
Many methodologies exist to derive
compressibility from Eq. 1 using CCE data. The
measured volume, change in volume, and change
in pressure resulting from each CCE step can be
entered into the equation. This is the simplest
method, but for black oil, for which the change in
measured volume can be very small, the measured
volume change will be sensitive to measurement
error. This measurement error may result in large
variability in the obtained compressibility. A
method that is less sensitive to noise involves
plotting the measured volume versus pressure on a
linear scale. A function is then fitted to the data;
this can be an exponential function (Eq. 4), a
natural logarithmic function (Eq. 5), or other
function that fits the measured data. Many fitting
functions exist in the industry, but only Eqs. 4 and
5 are discussed here:
cP
ebay . (4)
bPay )ln(. (5)
The variable y in Eqs. 4 and 5 represents volume
when used in combination with Eq. 1, and density
when used in combination with Eq. 2. The
constants a, b, and c represent fitting parameters.
Standard derivative solutions exist for Eqs. 4 and
5. The derivative of volume with respect to
pressure from Eq. 4 can be substituted into Eq. 1.
When the pressure term is eliminated using Eq. 4,
the following expression for compressibility is
obtained:
cV
aV
P
V
VC
T .
1
(6)
Combining Eq. 1 with the derivative of volume
with respect to pressure from Eq. 5 yields
P
a
VP
V
VC
T
.11
(7)
Using Eq. 6 or Eq. 7, isothermal compressibility
can be determined for each recorded pressure and
volume value. Which fitting function is used
depends on the fluid encountered, preference of
the laboratory performing the measurements, and
the accuracy of the obtained function fit.
COMPRESSIBILITY FROM DFA
Formation tester DFA measurements that are
available today include accurate fluid density and
pressure. When Eq. 2 is used instead of Eq. 1, we
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SPWLA 55th
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can derive compressibility from pressure-density
data.
Using the downhole pump and a formation
interface module (Schlumberger, 2006; Dong et al.,
2008), fluid is pumped through the tool and into
the borehole. A downhole fluid density sensor
provides the real-time in-situ density and pressure.
Fluid contamination is measured using a dedicated
contamination monitoring system. When
contamination is below a certain threshold, a fixed
volume of fluid in the tool is exposed to either
increasing or decreasing pressure. This can be
achieved through different methods, discussed in a
subsequent section of this paper. The methodology
to extract compressibility from density-pressure
data is similar to extracting compressibility from
volume-pressure data. Measured density, the
change in density, and the change in measured
pressure can be entered into Eq. 2. Alternatively,
an exponential function (Eq. 4), a natural
logarithmic function (Eq. 5), or other function can
be fitted to the densitypressure data. Following
similar mathematical manipulations used earlier,
Eqs. 8 and 9 can be derived for compressibility:
c
a
PC
T .
1
(8)
P
a
PC
T
.11
(9)
Using Eq. 8 or Eq. 9, isothermal compressibility
can be determined for each recorded density and
pressure value.
IN-SITU DENSITY MEASUREMENT
The fluid density sensor is a rod sensor that
measures the thermophysical properties of the
fluid by the vibration of a mechanical resonator
submersed in the flowline fluid and which provide
density and viscosity measurements (OKeefe,
Erikson, et al., 2007; OKeefe, Godefroy, et al.
2007). To make a measurement, the rod is excited
by an electromechanical actuator. The interaction
of this excitation with the fluid creates the
resonance. The geometrical arrangement is well
designed, which can minimize the temperature and
pressure effects. From the resonance, the two
parameters analyzed are frequency and damping.
The frequency will relate to the density and the
damping to the viscosity. The basic structure of the
density and viscosity sensor is shown in Fig 1. The
sensor has integrated electronics, simplifying the
characterization and deployment. The sensor
measures fluid under flowing or static
condition with a zero dead volume providing an
accurate measurement.
Fig.1 Density and viscosity sensor sketch.
The density sensor is designed so the dual
resonance modes operate to directly compute
density from the resonator-fluid interaction at a 1-s
frequency (Fig.2).
The key benefit of the dual resonances is to reduce
the common mode effects. Those effects include
the Young modulus changing with temperature
and pressure, instabilities and drifts in the
mechanical resonator, electronics frequency
stability at high temperature, etc. Using
characterization parameters based on the response
of standard fluids also enables assessing
measurement quality in real time to ensure that the
sensor response spectrum is within specification.
Fig.2 Density rod dual resonance mode design,
displacement mode (left) and sharing mode (right).
Table 1 shows the specification of the density
sensor. The measurement range covers the wide
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SPWLA 55th
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range from 0.05 to 1.2 g/cm3, with an accuracy of
0.012 g/cm3. The pressure rating is 25,000 psi for
the extra high pressure version of the sensor. The
sensor is able to measure the fluid density at the
extra high pressure condition which can fill the
gap in fluid laboratory PVT testing, which is
normally capped by the pressure limit of 15,000 to
20,000 psi capacity. When the reservoir pressure is
high with low GOR oil, the density change with
pressure change will be small. However, the
resolution of the density measurement is as high as
0.001 g/cm3, which provides enough measurement
variation to estimate the in-situ fluid
compressibility.
Table 1. Density Sensor Specifications
Measurement Density
Sensor
Range, g/cm3 0.05 to 1.2
Accuracy, g/cm3 0.012
Resolution, g/cm3 0.001
Mechanical
Conventional Version
Temperature rating, C 150
Pressure rating, psi 15,000
HPHT Version
Temperature rating, C 175
Pressure rating, psi 25,000
Extra HT Version
Temperature rating, C 190
Pressure rating, psi 25,000
DISCUSSION ABOUT ACCURACY
A detailed discussion about the accuracy of
compressibility is beyond the scope of this paper.
However, since a new method of obtaining
compressibility downhole is introduced, a
comparison with existing methods is warranted.
Comparing Eq. 1 with Eq. 2 shows a strong
similarity in fundamentals. We therefore simplify
the comparison of accuracy to a comparison of the
input measurements and methods. Both the
downhole and CCE methods require pressure, a
fitting parameter, and either volume or density as
inputs.
Pressure gauges used in both the laboratory and
DFA measurements are highly accurate and
contribute the least amount to the compressibility
error. The pressure gauge used in the case studies
has a typical accuracy of 10-4
of the full scale
reading and maximum error of 2.5 10-4
of full
scale reading. In the case studies for this paper, a
25,000-psi gauge was used which translates to a
2.5 psi and 6.25 psi typical and maximum error,
respectively. All case studies were over 6,000 psi
pressure, which translates to 0.1% error when
pressure is used in the compressibility calculation.
When a pressure change is used in the calculation
instead of absolute pressure, the error is typically
reduced even further. The accuracy of pressure
gauges used in CCE experiments might deviate
slightly from the DFA gauges, but the impact of
the accuracy difference on obtained
compressibility results will be insignificant.
Relative volume is used in the laboratory
computation, and density is used in the downhole
method. Density accuracy and resolution is
defined in Table 2. For oil, which could be argued
to range between 0.5 and 0.9 g/cm3, the error
introduced through the density measurement
would not exceed 2.5%. This error will increase
for gas. When a total pressure change of several
thousand psi is exerted onto a black oil, a density
change of 0.02 g/cm3 or larger will typically be
recorded. With a sensor resolution of 0.001 g/cm3,
this represents a 5% error over the recorded range.
This error will decrease with increasing
compressibility.
The accuracy of CCE relative volume is not
widely quoted in open literature. In a typical CCE
experiment, the PVT cell is charged with 30 to 40
cm3of fluid. The change in volume resulting from
a pressure change is then determined from the cell
piston position. In black oil examples examined in
this paper, the observed typical single-phase
volume change was less than 2 cm3. From the
variability in the recorded volume readings, the
error in volume change appears to be
approximately 1%.
There will be a function-fitting error. The same
function-fitting techniques can and must be used
on DFA data and CCE experiment data when
comparing the two. A wide range of function-
fitting quality quantification techniques and
quality control techniques are available in the
industry. When the quality of the input data is
good, then fitting errors are minimal. Indeed, data
quality is the key to obtaining reliable
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SPWLA 55th
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compressibility from DFA. As with any
measurement, data quality control and processing
is required. DFA measurements are made at in-situ
conditions on fluid that has not been exposed to
surface conditions or bottle transfers. However,
the pressure cycles normally contain less
stabilization time, and temperature cannot be
actively controlled. When formation testing
operations are planned, executed, and quality
controlled appropriately, the compressibility
obtained with the new DFA method can have an
accuracy approaching the laboratory CCE method,
obtained at in-situ conditions in real time.
BEST PRACTICES AND DFA PLACEMENT
SCENARIOS
Formation testers are modular, and sensor
placement within the toolstring is very flexible
(Weinheber 2008) Pressure and density sensors
can be run upstream or downstream of the pump
(Mullins, 2008; Schlumberger, 2006). The location
chosen depends on the specific objectives of the
formation testing job. This sensor placement
determines the method by which a fluid pressure
change can be induced and whether the sensor is
exposed to flowing pressure or mud column
pressure. Advantages and disadvantages of each
scenario will be discussed. Note that only the
relevant sensors and generic modules are
mentioned.
The following configuration, referred to here as
setup 1, is very commonly encountered: formation
interface, pump, density and pressure sensor,
sample receptacle, exit. Fluid is drawn from
formation through the formation interface into the
pump. Fluid is subsequently expelled from the
pump at mud column pressure and passes through
the sensors into the borehole. When sample
capture is desired, the sampling receptacle is
opened and the exit is closed. Fluid is now
directed into the sample receptacle. When the
sample receptacle is filled, the pump pressurizes
the sample and the sample receptacle is closed.
Compressibility can be derived from the recorded
pressuredensity data. Additional pressure changes
can be induced at any time by closing the exit,
even when a sample receptacle is not filled. The
fluid in the flowline will be pressurized and the
pressuredensity data recorded. The following
points are worth highlighting:
Receptacle filling duration (minutes) is short
enough to assume constant ambient temperature
and long enough to ignore pressure-induced
temperature fluctuations.
Sample receptacle fluid is exposed to a 4,000 to
10,000 psi pressure increase.
Pressure and density DFA data are recorded.
Compressibility is calculated from the DFA
data.
CCE experiments and DFA data are obtained
from the same fluid sample.
DFA and CCE derived compressibility can be
compared.
The next configuration will be referred to as setup
2: formation interface, density and pressure sensor,
pump, exit. Sample receptacles and additional
DFA modules can be placed anywhere in this
configuration, but are they are not required to
obtain compressibility. Fluid is drawn into the tool
through the formation interface and flows past the
density and pressure sensors. Two different
methods can be used to create a pressure change.
Method 1 is typically applied during the late time
clean up. The drawdown, defined as the difference
between formation pressure and the flowing
pressure, is manipulated by changing the pumping
rate. As long as the flowing fluid is in single phase
and at constant contamination, the density value
obtained at different flowing pressures can be
plotted, and compressibility can be derived. The
following conditions apply to this method:
The pressure range obtained may be limited if
permeability is high.
Temperature and contamination must be
monitored and constant.
Pressure ranges that can be applied are limited
by mobility and rate.
Typically, the density and pressure data cover
formation pressure and may cover saturation
pressure.
There must be constant contamination for the
interval used in this method. Focused sampling
can help to clean up the flowline to reach an
undetectable contamination level in relatively
short time.
Method 2 can be called trapped fluid analysis,
and it differs slightly from method 1, but may
improve the compressibility results significantly.
Fluid is again pumped from formation, but when a
compressibility measurement is desired, a valve at
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SPWLA 55th
Annual Logging Symposium, May 18-22, 2014
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the formation inlet is closed. Fluid in the flowline
between the closed inlet and the pump is
depressurized and a rate determined by the pump.
Pressure versus density data is recorded over a
large range of pressure, and compressibility is
calculated. . With this method
Depressurization can be applied step-by-step or
continuously
Depressurization is short enough to assume
constant ambient temperature and long enough
to ignore pressure-induced temperature
fluctuations.
The pressure range that can be applied will be
larger and will include saturation pressure.
To obtain sufficient data to perform the
compressibility estimation, there are other general
practices to improve the data quality for all
scenarios:
Reliable density measurement is critical.
Sanding of the formation must be avoided to
eliminate any effect on the density
measurement and the flowline fluid must be
kept single phase.
The isothermal condition should be met, so it is
necessary to have a temperature sensor to check
the measurement interval. With longer cleanup,
the temperature normally can achieve
stabilization in the flowline.
A larger pressure interval will yield more
accurate compressibility estimation. Having
flexible control over pressurizing or
depressurizing trapped fluid in flowline gives
the ability to increase the pressure coverage.
And for each pressure step, a clear stabilized
reading can improve the quality of the data.
DENSITY AND COMPRESSIBILITY
EXTRAPOLATION
When a density sensor is placed downstream of a
formation tester pump (setup 1), the density data is
recorded at or above mud column pressure.
However, for reservoir studies (Vinay, 2012) and
pressure gradient validation, fluid density at
formation pressure is required. A pressure
correction can be applied through equation of state
modeling based on DFA composition. However, a
more accurate result can be obtained by fitting a
function to the DFA pressure- density data and
extrapolating this function from mud column
pressure down to reservoir pressure. This method
can be highly accurate, particularly when the
difference between mud column pressure and
formation pressure is small (e.g., less than 1,000
psi) and the range of pressure over which
pressuredensity data was recorded is large.
Additionally, the compressibility value can be
extrapolated from compressibility-pressure plots.
CASES
There are six cases of compressibility estimation
in Gulf of Mexico and other deep water fields in
the following section, covering different toolstring
setups, various pressure ranges, black oil,
condensate gas, and water.
Case 1: Black Oil.
This case is from the Gulf of Mexico, with one
fluid sampling station with approximately 3 hours
of cleanup using a non-focused probe. Setup 2 is
used, indicating the fluid analyzer is located
upstream from the pump module. Fluid properties,
measured in real-time, include GOR, composition,
viscosity, density, pressure, and temperature
(Fig.3).
Fig.3 Fluid scanning and sampling, case 1
1000
1100
1200
0.0
0.2
0.4
0.6
0.8
1.0
1.0
1.5
2.0
2.5
3.0
0.725
0.730
0.735
0.740
0.745
175
176
177
178
179
180
6800
7000
7200
7400
7600
0 50 100 150
IFA_1
ft3/
bbl
unitl
ess
cPg/
cm3
degF
psi
ETIM (min)
GOR_IFA1 Low Quality Medium QualityHigh Quality
CHCR_IFA1[4] CHCR_IFA1[0] CHCR_IFA1[1]CHCR_IFA1[2] CHCR_IFA1[3]
RODVIS_IFA1
RODRHO_IFA1
RODTEMP_IFA1 SOIPRES_IFA1
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The contamination for the samples taken is
confirmed by the PVT laboratory to be 2.4%.
Method 1, which covers the flow period, is applied
in this case. To eliminate contamination effects,
only the later part of the data with constant
contamination is used.
Fig.4 Density-pressure function fitting.
The temperature in the flowline is observed to be
constant during the test ensuring the isothermal
condition is met. As shown on Fig. 4, the points
are carefully selected to cover the maximum
pressure interval, increasing the reliability of the
approach. In Fig.4, the density and pressure curve
is fitted by the modified exponential function,
which is shown on the plot. Then the
compressibility is estimated based on the fitted
parameters.
Fig.5 PVT density and compressibility comparison.
The PVT density is again shown together with rod
density in
Fig.5 (left). There is a 0.005 g/cm3 difference
between rod density and laboratory (PVT) density
curve. On the right in Fig.5, compressibility results
from the laboratory and the rod sensor show good
agreement. The results are summarized in Table.2.
Table 2 Density and compressibility at reservoir
condition
Density
g/cm3
Compressibility
psi-1
Rod sensor 0.727 9.49 E-06
PVT laboratory 0.722 9.53 E-06
Case 2: Black Oil.
This example, from the Gulf of Mexico, illustrates
black oil fluid scanning and sampling. As shown
in Fig.6, black oil is pumping at a GOR of
approximately 1200 ft3/bbl. The sampling was
done using a non-focused sampling tool with
toolstring setup 2. Contamination of the fluid
sample is 2.5%. Fluid cleanup has stabilized
towards the end of the station, which can be seen
from the GOR/ compositions/ viscosity/ density in
Fig.6.
Fig.6 Fluid scanning and sampling, case 2.
0
500
1000
1500
0.0
0.2
0.4
0.6
0.8
1.0
1.0
1.5
2.0
2.5
0.70
0.72
0.74
0.76
139.2
139.4
139.6
139.8
7500
8000
8500
0
1
2
3
4
0 10 20 30 40 50 60 70 80
IFA_1ft
3/b
bl
unitle
sscP
g/c
m3
degF psi
cm3/s
ETIM (min)
GOR_IFA1 Low Quality Medium Quality High Quality
CHCR_IFA1[4] CHCR_IFA1[0] CHCR_IFA1[1]CHCR_IFA1[2] CHCR_IFA1[3]
RODVIS_IFA1
RODRHO_IFA1
RODTEMP_IFA1 SOIPRES_IFA1
POFR
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Fig.7 Density-pressure fitting function.
The temperature in the flowline is unchanged after
70 min, which satisfies the isothermal condition.
Method 1, which covers the flow period, is applied
in this case. The density and pressure crossplot
which covers the data between 76 and 86 min is
shown in Fig.7.
The selected interval includes the very short period
of the final cleanup of the flowline and bottle
filling period where the density sensor pressure is
increasing to the formation pressure after finishing
filling the bottle. While the pressure was
increasing, the density was increasing accordingly.
Exponential fitting with Eq. 4 is applied on the rod
density, and the fitting function is shown on Fig.7.
Fig.8 PVT density and compressibility
comparison.
The measured density and calculated
compressibility is shown on Fig.8 together with
the laboratory CCE results. There is only a 0.003
g/cm3 difference in the density measurements, and
the compressibility also has a good match. The
results are summarized in Table.3.
Table 3 Density, compressibility at reservoir
condition
Density
g/cm3
Compressibility
psi-1
Rod sensor 0.745 7.80 E-6
PVT laboratory 0.748 7.20 E-6
Case 3: Black Oil.
This case, from the Gulf of Mexico, uses tool
string setup 2 at a pressure environment in the
approximate range of 22,000 to 25,000 psi. Fig.9
shows the fluid scanning and sampling log. The
focused sampling technique was used successfully.
Shortly after the flow was split at 56 min, the
sample line fluid was clean, which was later
confirmed by the PVT laboratory results.
Fig.9 Fluid scanning and sampling, case 3.
After 80 min, the flowline temperature is
stabilized at 209 F, which indicates the isothermal
condition is met for the rest of the testing interval.
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Method 1, which covers the flow period, is applied
in this case. The density-pressure points are
carefully selected at each pressure step in the
interval of interest and are shown on the left in
Fig.10. The exponential function fit to the
pressure-density curve can be used to calculate the
compressibility at each pressure, which is shown
on the right.
Fig. 10 Compressibility estimation from density
sensor
Case 4: Condensate Gas.
This case shows the compressibility measurement
using method 2 with trapped fluid in the flowline.
After sample capture has been completed, there is
clean fluid still inside the flowline. By closing the
formation interface seal valve, this fluid is isolated
and can be pressurized or depressurized as needed.
At the same time, the pressure, temperature, fluid
density, viscosity, GOR, compositions,
fluorescence, and other parameters can be
measured with the change of the pressure, as
shown in Figure 11 for this case. The temperature
is observed to be constant during the whole testing
period, meeting the isothermal condition.
A step by step reduction in flowline pressure is
induced by the pumpout module. Dew
precipitation is detected at approximately 12 min
by the fluid analyzer through the presence of
liquid hydrocarbon and dropping of GOR. Only
single phase gas must be used for the
compressibility analysis. In this case only the
pressure-density data obtained at pressures higher
than the pressure of the phase change will be used.
For each step change of the flowline pressure, the
stabilized density values are selected and shown
together with corresponding pressure in Fig.12.
The density shows the expected curvature; the
fitting with Eq. 4 matches the rod density, which is
shown in the plot. The compressibility curve is
estimated based on the density function, which is
shown in Fig.13.
Fig.11 Fluid scanning and sampling, case 4.
Fig.12 Fluid density of condensate gas case
This trapped volume decompression method
covers a large pressure range, in this case more
than 4,000 psi. This improves the reliability of the
compressibility estimation, especially for this
high-compressibility fluid.
10000
20000
30000
0.0
0.2
0.4
0.6
0.8
1.0
0.35
0.40
0.45
0.50
0.55
126
128
130
132
134
6000
8000
10000
0
1
2
3
0 2 4 6 8 10 12 14 16 18
IFA_1
ft3
/bb
l
un
itle
ss
g/c
m3
de
gF p
si
cm
3/s
ETIM (min)
GOR_IFA1 Low Quality Medium Quality High Quality
CHCR_IFA1[4] CHCR_IFA1[0] CHCR_IFA1[1]CHCR_IFA1[2] CHCR_IFA1[3]
RODRHO_IFA1
RODTEMP_IFA1 SOIPRES_IFA1
POTFR
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Fig. 13 Compressibility for condensate gas case
Case 5: Water.
This case is a water sampling case with toolstring
setup 1, in which the rod density sensor is located
downstream of the pumpout module. This shows
the benefit of the toolstring setup that can
overpressure the sample bottle thousands of psi
above hydrostatic pressure; the large pressure
interval makes it possible to have good estimation
of compressibility, even if the fluid is nearly
incompressible.
Fig.14 Fluid scanning and sampling for water.
Water contamination is monitored by the
resistivity cell in the fluid analyzer, and Fig. 14
shows good cleanup, achieving clean fluid. As
shown in the figure, after 150 min, four bottles are
filled. After filling the bottles, the pumpout
module continues to pressurize the bottles, results
in the steep pressure and density increases
observed in the top two tracks. This increase in
pressure of more than 5,000 psi provides a large
pressure change that is used apply for the
compressibility estimation. The temperature is
stable at approximately 164F and with less than 1
F fluctuation, thus constituting an the isothermal
process.
Fig.15 Water density measurement for four bottles.
For all the four samples, as shown on Figure 15,
the density measurement indicates good
repeatability and overall shows a clear trend.
Fig.16 Water pressure-density curves for four
consecutive bottles.
Fig.17 Water compressibility from different
bottles.
1.01
1.02
1.03
1.04
1.05
160
162
164
166
168
170
2000
4000
6000
8000
0.0
0.5
1.0
0.050
0.055
0 50 100 150 200 250
IFA_1
g/c
m3
de
gF p
si
un
itle
ss
oh
m.m
ETIM (min)
RODRHO_IFA1
RODTEMP_IFA1 SOIPRES_IFA1
LEGS_IFA1 WATF_IFA1 HAFF_IFA1
FFRES_IFA1
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Annual Logging Symposium, May 18-22, 2014
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All each bottle, the compressibility can be
estimated separately from the pressure-density
curves plotted in Figure 16. The compressibility
curves estimated from different bottles (shown on
Fig.17) overlay, showing the consistency of the
results.
Fig. 18 Density and compressibility extrapolated
to reservoir pressure.
Since the rod density sensor is located at
downstream of the pump, it only measures the
properties at and higher than the hydrostatic
pressure. With the curve fitting on Fig.16 and
Fig.17, the density and compressibility can be
extrapolated to reservoir pressure. As shown in
Fig.18, the density and compressibility
extrapolation results from four bottles have a very
good agreement.
Case 6: Black Oil.
This is a light oil sampling station with toolstring
setup 1 in which the rod density sensor is located
downstream of the pumpout module. The pump
pressurized the bottles 5,000 psi over hydrostatic
pressure after filling the bottles, which provides a
high quality data with significant pressure-density
variation.
Fluid cleanup is achieved using focused sampling.
After 1.6 hr the flowing fluid is free of
contamination. The temperature variation is less
than 1 F during the sample over pressuring,
which can be treated as isothermal condition.
Three consecutive samples are taken at the end of
the station. The overpressure for each bottle can be
seen as pressure and density spikes on Fig.19.
Fig.19 Fluid scanning and sampling for light oil.
Fig.20 Light oil pressure-density fitting for three
bottles.
For each bottle, the pressure-density curves are
fitted by Eq. 4. The fitting functions are showing
on Fig.20. All the curves have a good fit. The
compressibility can be estimated by Eq. 8 based on
the density curve fitting for each bottle. The
compressibility estimation curves for the three
bottles in Fig.20 show good agreement for all the
bottles.
Fig.21 Compressibility from three bottles.
2500
2600
2700
2800
2900
3000
0.0
0.2
0.4
0.6
0.8
1.0
0.58
0.60
0.62
0.64
270
271
272
273
274
275
10000
12000
14000
16000
18000
0 2000 4000 6000 8000 10000 12000
IFA_1
ft3
/bb
lu
nit
less
g/c
m3
de
gF p
si
ETIM (s)
GOR_IFA1
CHCR_IFA1[4] CHCR_IFA1[0] CHCR_IFA1[1] CHCR_IFA1[2]CHCR_IFA1[3]
RODRHO_IFA1
RODTEMP_IFA1 SOIPRES_IFA1
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SPWLA 55th
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Since the density is measured at hydrostatic
pressure, fluid density at reservoir pressure is
extrapolated. Fig.22 shows the density and
compressibility extrapolated to reservoir pressure.
The laboratory measured density was 0.588 g/cc.
In this case study, compressibility and pressure
corrected densities gave very consistent results.
Fig.22 Density / compressibility extrapolation.
CONCLUSION
With in-situ density measurement in the formation
testing tool, fluid compressibility can be
determined under reservoir conditions, downhole
in real time. This is a new approach that is based
on in-situ fluid density instead of using the relative
volume method. The approach is applicable for the
reservoir fluids from nearly incompressible fluid
to highly compressible fluid. The accuracy of the
compressibility measurements from this approach
can be similar to that from a laboratory, as
confirmed by the case studies. The method
provides the real-time answers which enables field
study at early stage.
REFERENCES
Achourov, V., Gisolf, A., Kansy, A., Eriksen, K.O.,
O'Keefe, M., and Pfeiffer, T., 2011, Applications
of accurate in-situ fluid analysis in the North Sea:
Paper SPE 145643-MS presented at Offshore
Europe, Aberdeen, UK, 68 September.
Dong, C., O'Keefe, M.D., Elshahawi, H., Hashem,
M., Williams, S., Stensland, D., Hegeman, P,
Vasques, R., Terabayashi, T., Mullins, O.C., and
Donzier, E., 2008, New downhole-fluid-analysis
tool for improved reservoir characterization: SPE
Reservoir Evaluation & Engineering 11 (6): 1107
1116. SPE 108566-PA.
McCain, W.D., 1990, The Properties of Petroleum
Fluids: Tulsa, Oklahoma, PennWell Publishing.
ISBN 0-87814-335-1.
Mishra, V. K., Skinner, C., MacDonald, D. et al., 2012,
Downhole fluid analysis and asphaltene nanoscience
coupled with vertical interference testing for risk
reduction in black oil production: SPE Annual
Technical Conference and Exhibition, paper SPE
159857
Mullins, O.C., 2008, The Physics of Reservoir
Fluids; Discovery through downhole fluid analysis,
Houston, Texas, Schlumberger. ISBN-10: 0-
97885-302-4.
OKeefe M., Eriksen K. O., Williams S., Stensland
D., and Vasques R., 2007, Focused sampling of
reservoir fluids achieves undetectable levels of
contamination: Paper SPE 101084 presented at
SPE Asia Pacific Oil & Gas Conference, Jakarta,
Indonesia, 30 October1 November.
OKeefe, M., Godefroy, S., Vasques, R., Agenes,
A., Weinheber, P., Jackson, R., Ardila, M.,
Wichers, W., Daungkaen, S., De Santo, I., 2007,
In-situ density and viscosity measured by wireline
formation testers: Paper SPE 110364 presented at
SPE Asia Pacific Oil & Gas Conference and
Exhibition, Jakarta, Indonesia, 30 October1
November.
Schlumberger, 2006, Fundamentals of formation
testing: Houston, Texas, Schlumberger.
Tarek A., 2006, Reservoir Engineering Handbook
Third Edition: Gulf Professional Publishing.
ISBN-10: 0-7506-7972-7.
Weinheber P,, Gisolf AG., Jackson RR., De Santo
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119713 presented at Nigeria Annual International
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SPWLA 55th
Annual Logging Symposium, May 18-22, 2014
13
ABOUT THE AUTHOR
Li Chen is a Senior Reservoir
Engineer and Associate Reservoir
Domain Champion with
Schlumberger, Houston, Texas. He
has received the Masters Degree in
Reservoir Engineering from China
Petroleum University. His previous positions include
senior reservoir engineer, associate reservoir domain
champion, answer product analyst for formation testing
in China.
Adriaan Gisolf is a Reservoir Domain
Champion with Schlumberger, based
in Sugar Land. Previous positions
held in Schlumberger include Field
Engineer in Indonesia and Nigeria,
Service Quality Coach in Colombia
and Reservoir Domain Champion in Angola and
Norway. He holds a master's degree in mechanical
engineering from Delft University of technology.
Beatriz E. Barbosa is a Reservoir
Pressure & Sampling Product
Champion with Schlumberger,
Wireline HQ. Under her
responsibilities are the alignment of
the domain road map with the industry
needs and the development of the
required technologies. Her previous positions include
Wireline Geomarket manager (Peru, Colombia and
Ecuador), Middle East & Asia Wireline Training Center
Manager and Country Wireline operations manager,
and Field Engineer and Technical Sales representative
in Angola, Colombia and Ecuador. Beatriz holds a
degree in Bsc. Civil Engineering from Los Andes
University in Bogota, Colombia.
Dr. Julian Youxiang Zuo is currently a
Scientific Advisor and FLCN
Interpretation Architect at
Schlumberger Houston Pressure &
Sampling Center leading the effort to
develop new answer products for new
formation testing tools. He has been working in the oil
and gas industry since 1989 and coauthored more than
160 technical papers in peer-reviewed journals,
conferences and workshops. Zuo holds a Ph.D. degree
in chemical engineering from the China University of
Petroleum in Beijing.
Vinay K. Mishra is Principal
Reservoir Engineer and Domain
Champion with Schlumberger,
Houston, TX. Previously he has
worked in different roles of
petroleum engineering based in
Canada, Libya, Egypt and India. He has co-authored
over 25 publications in international conferences
including SPWLA and SPE. He has done B.S. in
Petroleum Engineering from Indian School of Mines,
Dhanbad, India. Vinay has been committee member
and session chairs in several of SPE events. He is also
registered with Association of Professional Engineers
and Geoscientists of Alberta (APEGA).
Hadrien Dumont is a Reservoir Domain
Champion with Schlumberger, based in
Houston. Previous positions held in
Schlumberger include Field Engineer in
Norway, Kazakhstan, and Malaysia and
Reservoir Domain Champion in Egypt,
Sudan, Syria, Indonesia, and the United States. He
holds a MSc in Mining Engineering from University
Libre de Bruxelles, Belgium and a MSc in Petroleum
Engineering from Institut Francais du Petrole, France.
Thomas Pfeiffer is a Reservoir Domain
Champion in Schlumberger, Stavanger,
Norway. He has received Masters
Degree in Petroleum Engineering in
Texas A&M University, Masters
Degree in Electrical Engineering from
Technical University of Munich, Germany. His
previous positions held in Schlumberger include Field
Engineer in North Sea, Egypt, Netherlands, Austria,
Gulf of Mexico, and Location Manager in Austria and
Hungary.
Vladislav Achourov is a Reservoir
Domain Champion with
Schlumberger, based in Norway. He
has received Master's Degree in
Physics from Russian University of
Oil & Gas. He joint Schlumberger in
Russia and worked with reservoir simulations and
production engineering. In his current role he provides
technical support for wireline formation testing.