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    Well Design Spring 2012

    Prepared by: Tan Nguyen

    Cement that is pumped down into the annulus is used as a sealant to help protect:

    1. Casing and wellbore from external pressure that could collapse the pipe or cause

    a blowout

    2. Oil- and gas-producing strata from extraneous fluids

    3. Casing from possible corrosion and electrolysis caused by formation waters and

    physical contact with various strata

    4. Downhole production and drilling equipment

    5. Pipe from the stresses of formation movement

    IntroductionHistory and Overview

    http://www.nmt.edu/
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    Introduction

    The cement composition and placement technique for each job must be chosen

    so that the cement will achieve an adequate strength soon after being placed in

    the desired location. This minimizes the waiting period after cementing.

    However, the cement must remain pumpable along enough to allow placement

    to the desired location. The main ingredient in almost all drilling cements is

    Portland cement, artificial cement made by burning a blend of limestone and

    clay. This is the same basic type of cement used in making concrete.

    History and Overview

    http://www.nmt.edu/
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    Introduction

    Cement is composed principally of a blend of anhydrous metallic oxides. The

    addition of water to this material converts these compounds to their hydrated

    form. After a period of time, the hydrates form an interlocking crystalline structure

    which is responsible for the set cement's strength and impermeability.

    Hydration of Cement

    http://www.nmt.edu/
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    The principal components of common Portland cement are

    1. 50% tricalcium silicate (3CaO SiO 2) - C 3S

    2. 25% dicalcium silicate (2CaO SiO 2) C 2S

    3. 10% tricalcium aluminate (3CaO Al2O3) - C 3 A

    4. 10% tetracalcium aluminoferrite (4CaO Al2O3 Fe 2O3) - C 4 AF

    5. 5% other oxides

    Composition of Portland Cement

    http://www.nmt.edu/
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    2(3CaO.SiO 2) + 6H 2O --> 3CaO.2SiO 2.3H 2O + 3Ca(OH) 2

    2(2CaO.SiO 2) + 4H 2O --> (slow)3CaO.2SiO 2.3H 2O + Ca(OH) 2

    4CaO.Al2O3.Fe2O3 + 10H2O + 2Ca(OH)2 --> (slow)6CaO.Al 2O3.Fe 2O3.12H 2O + Ca(OH) 2

    3CaO.Al 2O 3 + 12H 2O + Ca(OH) 2 --> (fast)3CaO.Al 2O3.Ca(OH) 2.12H 2O

    3CaO.Al 2O 3 + 10H 2O + CaSO 4.2H 2O --> 3CaO.Al 2O3.CaSO 4.12H 2O

    Composition of Portland Cement

    Oxide

    Lime (CaO or C)

    Silica (SiO 2 or S)

    Alumina (Al 2O3 or A)

    Ferric Oxide (Fe 2O 3 or F)

    Magnesia (MgO)

    Sulfur Trioxide (SO 3)

    Ignition loss

    http://www.nmt.edu/
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    API uses the following equations for calculating the weight percent of the crystalline

    compounds from the weight percent of the oxides present.

    C3S = 4.07C 7.6S 6.72A 1.43F 2.85SO 3

    C2S = 2.87S 0.754C 3S

    C3 A = 2.65A 1.69F

    C4 AF = 3.04F

    These equations are valid as long as the weight ratio of Al 2O3 to Fe 2O3 present isgreater than 0.64

    Composition of Portland Cement

    http://www.nmt.edu/
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    Example: Calculate the percentages of C 3S, C 2S, C 3 A, and C 4 AF from the

    following oxide analysis of a standard Portland cement.

    Example

    Oxide Weight Percent

    Lime (CaO or C)

    Silica (SiO 2 or S)

    Alumina (Al 2O3 or A)

    Ferric Oxide (Fe 2O3 or F)

    Magnesia (MgO)

    Sulfur Trioxide (SO 3)

    Ignition loss

    65.6

    22.2

    5.8

    2.8

    1.9

    1.8

    0.7

    http://www.nmt.edu/
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    The A/F ratio is 5.8/2.8 = 2.07.

    C3S = 4.07C 7.6S 6.72A 1.43F 2.85SO 3

    C3S = 4.07(65.6) 7.6(22.2) 6.72(5.8) 1.43(2.8) 2.85(1.8) = 50.16%

    C2S = 2.87S 0.754C 3S

    C2S = 2.87(22.2) 0.754(50.16) = 25.89%

    C3 A = 2.65A 1.69F

    C3 A = 2.65(5.8) 1.69(2.8) = 10.64%

    C4 AF = 3.04F

    C4 AF = 3.04(2.8) = 8.51%

    Example

    http://www.nmt.edu/
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    API Tests for Cementing

    presents a recommended procedure for testing drilling cements. Cementspecifications almost always are stated in terms of these standard tests. The test

    equipment needed to perform the API tests includes:

    1. A mud balance for determining the slurry density,

    2. A filter press for determining the filtration rate of the slurry,

    3. A rotational viscometer for determining the rheological properties of the slurry,

    4. A consistometer for determining the thickening rate characteristics of the slurry,

    5. Specimen molds and strength testing machines for determining the tensile and

    compressive strength of the cement

    6. A cement permeameter for determining permeability of the set cement,

    http://www.nmt.edu/http://www.nmt.edu/
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    The test consists essentially of filling the cup with a mud sample and determining

    the rider position required for balance. Water is usually used for the calibration fluid.

    The density of fresh water is 8.33 lbm/gal.

    Mud Balance Slurry Density Test

    API Tests for Cementing

    http://www.nmt.edu/http://www.nmt.edu/
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    The rate at which a cement slurry loses

    the water required for its fluidity through

    a permeable barrier is called filtration

    rate or fluid-loss rate .

    The standard API filter press has an

    area of 45 cm 2 and is operated at a

    pressure of 100 psig (6.8 atm). The

    filtrate volume collected in a 30-min time

    period is reported as the standard water

    loss.

    Filter Press Fluid Loss Test

    API Tests for Cementing

    http://www.nmt.edu/http://www.nmt.edu/
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    The mud is sheared at a constant rate between an inner bob and an outer rotating

    sleeve. Six standard speeds plus a variable speed setting are available with the

    rotational viscometer.

    Rotational Viscometer

    API Tests for Cementing

    http://www.nmt.edu/http://www.nmt.edu/
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    Flow curves of time-independent fluids

    Newtonian fluids:

    Power law fluids:

    Bingham fluids:

    Herschel-Bulkley(Yield power law fluids)

    n K

    p y

    n y K

    Rotational Viscometer

    API Tests for Cementing

    http://www.nmt.edu/http://www.nmt.edu/
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    For Bingham fluid:

    N N

    a

    300

    300600 P

    p y 300

    Rotational Viscometer

    API Tests for Cementing

    where: a(cp) - apparent viscosity,

    N - dial reading in degrees,

    N(RPM) - rotor speed,

    p(cp) - plastic viscosity,

    and y (lbf/100ft 2) - shear stress, and yield stress

    (1/s) - shear rate,

    and p(cp) - fluid viscosity and Bingham viscosity,

    K (lbfxs n/100ft 2) - consistency index,

    n - flow behavior index.

    http://www.nmt.edu/http://www.nmt.edu/
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    The data below are obtained from a rotational viscometer. Determine type of fluid

    and the rheological model of this fluid.

    RPM Dial Reading

    3 106 12

    100 35200 48

    300 60

    600 75

    Rotational Viscometer

    API Tests for Cementing

    http://www.nmt.edu/http://www.nmt.edu/
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    A device used to determine the thickening time of cement slurries under simulated

    downhole pressure and temperature conditions. The thickening time is a

    measurement of the time during which cement slurry remain in a fluid state and is

    capable of being pumped. Thickening time is assessed under simulated downhole

    conditions using a consistometer that plots the consistency of a slurry over time at

    the anticipated temperature and pressure conditions. The end of the thickening

    time is considered to be 50 or 70 Bc for most applications.

    Cement Consistometer Thickening Time Test

    API Tests for Cementing

    http://www.nmt.edu/http://www.nmt.edu/
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    Prepared by: Tan Nguyen

    The thickening time of a slurry under realistic conditions must be established to

    ensure adequate pumping time for slurry placement.

    Excessive thickening time must be avoided to prevent:

    1. Delays in resuming drilling operations

    2. Settling and separation of slurry components

    3. Formation of free-water pockets

    4. Loss of hydrostatic head and gas cutting

    Cement Consistometer Thickening Time Test

    API Tests for Cementing

    http://www.nmt.edu/http://www.nmt.edu/
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    The apparatus consists of a rotating cylindrical slurry container equipped with a

    stationary paddle assembly, all enclosed in a pressure chamber capable of

    withstanding temperatures and pressures encountered in well cementing

    operations. The cylindrical slurry chamber is rotated at 150 rpm during the test. The

    slurry consistency is defined in terms of the torque exerted on the paddle by the

    cement slurry. The relation between torque and slurry consistency is given by

    Cement Consistometer

    API Tests for Cementing

    http://www.nmt.edu/
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    http://www.nmt.edu/
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    Well Design Spring 2012

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    Consistometer for simulating down-hole conditions

    Consistometer for simulatingatmosphere conditions

    Cement Consistometer

    API Tests for Cementing

    http://www.nmt.edu/http://www.nmt.edu/
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    Typicalthickening time

    test output

    Cement Consistometer

    API Tests for Cementing

    http://www.nmt.edu/http://www.nmt.edu/
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    Well Design Spring 2012

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    The torque required to hold the paddle assembly stationary in a cement

    consistometer rotating at 150 rpm is 520 g-cm. Compute the slurry consistency.

    Cement Consistometer

    API Tests for Cementing

    units yconsistencT

    Bc 2202.20

    2.78520

    02.20

    2.78

    http://www.nmt.edu/http://www.nmt.edu/
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    Well Design Spring 2012

    Prepared by: Tan Nguyen

    Cement permeameter is an apparatus for measuring the permeability of a

    core sample. The permeability of a set cement core to water is determined by

    measuring the flow rate through the core at a given pressure differential across the

    length of the core. The permeability then is computed using an appropriate form of

    Darcys law:

    Where K(mD) is the permeability, q(mL/s) is the flow rate, (cp) is the water

    viscosity, L(cm) is the sample length, A(cm 2) is the sample cross-sectional area,

    and DP(psi) is the differential pressure.

    Cement Permeameter

    API Tests for Cementing

    P A Lq

    K D

    700,14

    http://www.nmt.edu/http://www.nmt.edu/
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    Cement Permeameter

    API Tests for Cementing

    ll

    http://www.nmt.edu/http://www.nmt.edu/
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    Well Design Spring 2012

    Prepared by: Tan Nguyen

    A class E cement core having a length of 2.54 cm and a diameter of 2.865 cm

    allows a water flow rate of 0.0345 mL/s when placed under a pressure differential

    of 20 psi. A second core containing 40% silica cured in a similar manner allows only

    0.00345 mL/s of water to flow under a pressure differential of 200 psi. Compute the

    permeability of the two cement samples.

    Cement Permeameter

    API Tests for Cementing

    W ll D i S i 2012

    http://www.nmt.edu/http://www.nmt.edu/
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    Cement Permeameter

    API Tests for Cementing

    P A Lq

    K D

    700,14

    mD K 10

    20865.24

    54.20.10345.0700,14

    21

    mD K 1200865.2

    4

    54.20.100345.0700,14

    22

    W ll D i S i 2012

    http://www.nmt.edu/http://www.nmt.edu/
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    Well Design Spring 2012

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    The compressive strength of the set

    cement is the compressional force

    required to crush the cement divided

    by the cross-sectional area of thesample.

    Strength Testing Machine Compressive Strength Test

    API Tests for Cementing

    http://www.nmt.edu/