new approach to obtain in-situ live fluid compressibilty in formation testing

13
SPWLA 55 th Annual Logging Symposium, May 18-22, 2014 1 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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New approach to obtain in-situ live fluid compressibilty in formation testing

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  • SPWLA 55th

    Annual Logging Symposium, May 18-22, 2014

    1

    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

  • SPWLA 55th

    Annual Logging Symposium, May 18-22, 2014

    2

    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

  • SPWLA 55th

    Annual Logging Symposium, May 18-22, 2014

    3

    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

  • SPWLA 55th

    Annual Logging Symposium, May 18-22, 2014

    4

    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

  • SPWLA 55th

    Annual Logging Symposium, May 18-22, 2014

    5

    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

  • SPWLA 55th

    Annual Logging Symposium, May 18-22, 2014

    6

    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

  • SPWLA 55th

    Annual Logging Symposium, May 18-22, 2014

    7

    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

  • SPWLA 55th

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    8

    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.

  • SPWLA 55th

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    9

    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

  • SPWLA 55th

    Annual Logging Symposium, May 18-22, 2014

    10

    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

  • SPWLA 55th

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    11

    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

  • SPWLA 55th

    Annual Logging Symposium, May 18-22, 2014

    12

    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

    I., 2008, Optimizing Hardware Options for

    Maximum Flexibility and Improved Success in

    Wireline Formation Testing, Sampling and

    Downhole Fluid Analysis Operations: Paper SPE

    119713 presented at Nigeria Annual International

    Conference and Exhibition held in Abuja, Nigeria,

    4-6 August 2008.

  • 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.