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  • 8/10/2019 SPE-13349 Managing Drilling Vibration Through BHA Design OptimizationIPTC-13349-MS

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    Copyright 2009, International Petroleum Technology Conference

    This paper was prepared for presentation at the International Petroleum Technology Conference held in Doha, Qatar, 79 December 2009.

    This paper was selected for presentation by an IPTC Programme Committee following review of information contained in an abstract submitted by the author(s). Contents of the paper, aspresented, have not been reviewed by the International Petroleum Technology Conference and are subject to correction by the author(s). The material, as presented, does not necessarilyreflect any position of the International Petroleum Technology Conference, its officers, or members. Papers presented at IPTC are subject to publication review by Sponsor SocietyCommittees of IPTC. Electronic reproduction, distribution, or storage of any part of this paper for commercial purposes without the written consent of the International Petroleum TechnologyConference is prohibited. Permission to reproduce in print is restricted to an abstract of not more than 300 words; illustrations may not be copied. The abstract must contain conspicuousacknowledgment of where and by whom the paper was presented. Write Librarian, IPTC, P.O. Box 833836, Richardson, TX 75083-3836, U.S.A., fax +1-972-952-9435.

    AbstractSignificant performance improvement has been achieved by successfully managing drilling vibrations through bottomhole

    assembly (BHA) redesign. This effort has resulted in increased footage per day and reduced tool damage. Prior literature has

    described improvements in operating practices to manage vibrations(1,2)as a key component of this ROP (rate of penetration)

    management process. In a parallel work activity, the redesign efforts have provided additional performance improvements ofapproximately 36% in one drilling application. Dynamic modeling of the BHA has identified the key design changes leading

    to these improvements. The redesigned BHA has lower calculated vibration indices than the standard BHA.The BHA design evaluation process uses a frequency-domain lateral dynamic model in both pre-drill forecast and

    post-drill hindcast modes. BHA lateral vibrations are characterized such that alternative BHA configurations may be

    developed and compared directly with a proposed baseline assembly. In the hindcast mode, the BHA model can be operated

    at the recorded WOB and RPM to generate corresponding model results in time or depth, and these values can be comparedto the measured performance data.

    In one case study, the redesign of a BHA with downhole motor and roller reamer is described, with corresponding field

    data for four original BHAs and four redesigned assemblies. In a second application, model and field drilling results for two

    rotary steerable assemblies are compared to evaluate the predictive ability of the model in smaller hole size and with different

    BHA types. Finally, the utility of the model to identify preferred rotary speed sweet spots is demonstrated in a motor BHAoperating in larger hole.

    IntroductionTwo prior publications describe the basic methodology that has been developed to model BHA lateral vibrations. The first

    paper(3)provides a general description of the model and presents case studies of four field applications of this model. The

    second reference(4) is a study of 13 BHA runs in the same field, for which slightly different BHA designs and operating

    parameters were used. The Appendix of the second paper comprises a detailed mathematical description of the basics of thisfrequency-domain lateral vibrations model, known as VybsTM. The present paper illustrates the application of these methods

    to a new set of BHA design problems in a joint study conducted by RasGas and ExxonMobil.

    Briefly, the modeling process begins with an input panel that is populated with mechanical dimensions of the components

    of the BHA, usually up to the heavy-weight drillpipe (HWDP), with about the same level of detail as a fishing diagram. It isimportant that the positions of the contact point constraints are entered correctly, and that the stiffness and inertial properties

    of the assembly are a proper representation of the subject BHA. Then the desired operating parameters for drilling need to beprovided, including the anticipated ranges of bit weight (WOB) and rotation rate (RPM).

    The linear modeling process considers a dynamic perturbation about the static state. The model employs two vibration

    modes to compare and contrast the response of each candidate BHA design: lateral bending and twirl. In the lateral bending

    vibration mode, an identical reference bit side force input is applied to each design, and the magnitudes of the response at

    other locations along the BHA are compared. In the twirl mode, an identical mass eccentricity is applied to each modelelement to investigate the stability of the BHA to eccentric mass and centrifugal force effects.

    Simulation results are plotted for multiple BHA designs simultaneously in 2D or 3D displays of state vectors. Index

    values have been designed to summarize dynamic performance and are displayed for selected configurations to immediately

    identify operating sweet spots as well as to indicate which design configuration may be preferred. The indices include BHA

    Strain Energy and Transmitted Strain Energy to represent the dynamic bending strain in the BHA and HWDP, theStabilizer Side Force index to quantify the dynamic wall contact interaction forces, and the End-Point Curvature index to

    represent bending at the top of the model in response to excitation at the bit. Since there is not a specific known nodal

    IPTC 13349

    Managing Drilling Vibrations Through BHA Design OptimizationJ.R. Bailey, SPE, ExxonMobil Upstream Research Company, and S.M. Remmert, SPE, RasGas Company Limited

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    location in the free pipe above the BHA, a sensitivity analysis is completed where multiple possible node locations are

    considered at the top end of the model, and the results are processed to identify average and worst case conditions. For the

    flex lateral bending mode, the average value (RMS or root-mean-square) and the maximum value of the indices arecalculated for excitation at the various RPM multiples and end-length conditions, for each RPM and WOB state.

    The model has been designed to characterize the vibration tendency of a BHA and to facilitate comparison of design

    alternatives using a relatively straight-forward model. As will be shown in this paper, some BHA designs are preferred to

    others from a vibrations perspective, and a more comprehensive solution is obtained rather than simply seeking to identify

    and avoid the critical speeds of a given design. There are tangible benefits achieved by developing a simplified approach toBHA dynamics modeling. These include broad applicability, ease of use, minimized computing demand, and rapid

    turnaround of new designs based on real time field observations. The model is an engineering tool that supports the decision-making process related to BHA design and selection, with an objective to mitigate lateral dynamic vibrations and

    BHA-induced stick-slip. The tool also enables the development of best practices for BHA design and thus can be used as an

    instructional device. Ultimately, we hope to deploy this model to the engineering desktop.

    There are multiple synergies between this work activity and prior efforts to improve drilling performance as reported inthe references.(1,2) The following case studies will show the additional benefits that accrue from modeling BHA designs.

    Case 1: Redesign of a 12-1/4-inch Motor BHAA minimal bend adjustable kickoff (AKO) motor assembly is a standard design for the 12-1/4-inch hole section in nearly

    every well that RasGas (operator) drills. The introduction of roller reamers to the BHA design a couple of years ago resultedin a significant reduction in the need for back-reaming. Rotating off-bottom is both time-consuming and hazardous to

    drilling equipment. However, in initial field applications, cracking of the roller reamer body was observed in more than adozen runs. In an attempt to address this problem, the roller reamer was relocated from within the BHA to a position above

    one or two joints of HWDP. At about the same time, a near-bit stabilizer was removed on a trial basis. This stabilizer had

    been used by previous drilling personnel

    because it was deemed necessary to hold

    angle in the long high-angle hold sections ofthese wells. Fig. 1 illustrates these two BHA

    design configurations, labeled Standard

    BHA and Redesigned BHA.

    These design changes resulted in theelimination of roller reamer cracking,

    enabling routine use of roller reamers in these

    long intervals. The redesigned BHA hasbeen in steady use for almost two years with

    excellent field results.Field data from four intervals drilled with

    the standard design and four wells drilled

    with the redesigned BHA show theperformance benefits of the configuration

    change. Fig. 2 provides footage per day for

    the four standard designs (red, with anaverage of 1038 ft/day) and the redesigned

    configuration (blue, with an average of 1412

    ft/day), representing an average increase of36%. It must be noted that all 8 runs used an

    identical model of fixed cutter drill bit, and

    the data is entirely from two similar rigs on

    adjacent blocks drilling the same formations.Sustained performance improvement wasalso observed in two more wells that used a

    slightly different bit design, shown in purple

    triangles in Fig. 2.

    Additional data showed improved resultswith the Redesigned BHA. As may be seen

    in Fig. 3, there were two cracked roller

    reamers in the eight wells, and both occurredin the standard assembly configuration.

    Roughly speaking, the probability of cracking

    the roller reamer was reduced from 50% to

    0% due to the design change. The only BHA

    Standard BHA

    Redesigned BHA

    Fig. 1. Configurations for the Standard BHA (red) and the Redesigned BHA (blue).

    Standard BHA

    Redesigned BHA

    Fig. 1. Configurations for the Standard BHA (red) and the Redesigned BHA (blue).

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    IPTC 13349 3

    that did not make it to TD was the standard configuration, and the average run length for the redesigned configuration was

    5225 ft, an increase of 15% over the Standard BHA. The bit grades show a significant reduction in outer gauge bit wear and

    damage for the Redesigned BHA, despite the longer run requirements of the second group of wells. The bit grade differenceof 6.3 (standard) versus 3.8 (redesigned) is significant.

    Wells 1 and 5 provide a representative contrast between Mechanical Specific Energy (MSE) data for the respective BHA

    design configurations, as illustrated in Fig. 4. Experience has shown that it is important to maintain the MSE below 100 ksi,

    and that the bit often survives difficult formations when this is accomplished. Continuously high MSE readings over 100 ksi

    increase the risk of premature bit failure and may cause a trip before the bit reaches TD, as occurred in well 4.

    Fig. 3. Bit grade, roller reamer condition, and bit run results for eight wells in study group.Fig. 3. Bit grade, roller reamer condition, and bit run results for eight wells in study group.

    Upper B Section5150

    5155

    5160

    5165

    5170

    5175

    5180

    5185

    5190

    5195

    52000

    10

    20

    30

    40

    50

    60

    70

    80

    90

    100

    Mechanical Specific Energy (ksi)

    Standard BHA

    Redesigned BHA

    Fig. 4. Comparable wellbore sections for Wells 1 and 5 show MSE reductions for Redesigned BHA.

    TrueV

    erticalDepth

    Upper C Section5200

    5205

    5210

    5215

    5220

    5225

    5230

    5235

    5240

    5245

    52500

    10

    20

    30

    40

    50

    60

    70

    80

    90

    100

    Mechanical Specific Energy (ksi)

    Standard BHA

    Redesigned BHA

    TrueVerticalDepth

    Mid-Section, Clean Limestones

    6100

    6105

    6110

    6115

    6120

    6125

    6130

    6135

    6140

    6145

    61500

    10

    20

    30

    40

    50

    60

    70

    80

    90

    100

    Mechanical Specific Energy (ksi)

    Standard BHA

    Redesigned BHA

    TrueVerticalDepth

    Upper B Section5150

    5155

    5160

    5165

    5170

    5175

    5180

    5185

    5190

    5195

    52000

    10

    20

    30

    40

    50

    60

    70

    80

    90

    100

    Mechanical Specific Energy (ksi)

    Standard BHA

    Redesigned BHA

    Fig. 4. Comparable wellbore sections for Wells 1 and 5 show MSE reductions for Redesigned BHA.

    TrueV

    erticalDepth

    Upper C Section5200

    5205

    5210

    5215

    5220

    5225

    5230

    5235

    5240

    5245

    52500

    10

    20

    30

    40

    50

    60

    70

    80

    90

    100

    Mechanical Specific Energy (ksi)

    Standard BHA

    Redesigned BHA

    TrueVerticalDepth

    Mid-Section, Clean Limestones

    6100

    6105

    6110

    6115

    6120

    6125

    6130

    6135

    6140

    6145

    61500

    10

    20

    30

    40

    50

    60

    70

    80

    90

    100

    Mechanical Specific Energy (ksi)

    Standard BHA

    Redesigned BHA

    TrueVerticalDepth

    Having demonstrated above that, in a controlled group of wells, the Redesigned BHA performance was superior to the

    Standard BHA, the design differences may be explored using the vibrations model. In particular, there were two changes in

    the redesigned configuration. What is the effect of each change individually, and should more controlled drilling tests be

    conducted to identify perhaps another configuration that is better than the Redesigned BHA?To address the question of the relative merits of the two separate changes, two additional configurations were entered into

    the vibrations model. As shown in Fig. 5, one BHA was configured with no near-bit stabilizer below the motor, but this

    design, shown in yellow, retains the roller reamer at its original position within the drill collars. Another design kept the

    near-bit stabilizer but has the roller reamer above two joints of HWDP, illustrated in green. In applications of this model, it isuseful to color-code the various designs and then refer to the BHA simply by color.

    Lateral dynamic bending model simulation results for a single operating point, consisting of a specific WOB, RPM, and

    excitation mode, are shown in Fig. 6. In this chart, the x-axis is distance to bit, with the bit at the left edge as in Fig. 5. The1X excitation mode is shown; this mode is present in most high frequency data that we have seen. The topmost set of results

    in Fig. 6 corresponds to the lateral displacement. The first spatial derivative is the tilt angle and that is shown next. The

    bending moment and finally shear load complete the chart. Results are shown color-coded for each BHA configuration.

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    Looking more closely at the shear load,

    one may see that the perturbation side force

    at the bit is identical for all configurations.Moving away from the bit, the responses are

    quite different, depending on the

    configuration. A discontinuity in the shear

    load is seen as a vertical segment of the

    response at points of stabilizer contact. Themagnitude of the vertical segment represents

    the dynamic side force at the stabilizer,which would correspond to dynamic torque,

    BHA whirl-induced stick-slip vibrations, and

    stabilizer wear in a drilling BHA.

    Fig. 6 is a detailed response at just oneoperating condition. To evaluate an overall

    response, one needs to evaluate more

    operating conditions, such as the entire RPM

    range of interest.

    Fig. 7 provides a complete response mapfor the beam shear load for each

    configuration, at a specified bit weight, forthe 1X excitation mode. Again, the

    perturbation at the bit is the same in all

    cases, however the magnitudes of the red

    and green BHAs show increased

    interference at the near-bit stabilizer, and theresponse maps for the red and yellow

    designs show higher amplitudes at the roller

    reamer than the blue and green BHAs. This

    amplification of the perturbation at the bit, inthe rotary speed range of interest, is an

    indicator of higher vibrations. The flatter

    response of the blue BHA is desirable, withminimal amplification at uphole locations.

    In Fig. 7, there is a vector output for eachconfiguration at each RPM, for a single

    mode of excitation. Vibration indices were

    conceived to reduce the model results to afew scalars for each combination of WOB

    and RPM. These vibration indices provide a

    quantitative basis for comparing theresponse of alternative BHA configurations.

    Fig. 8 illustrates several vibration indices

    that are used in this analysis.In Fig. 8, the BHA Strain Energy Index

    is the dynamic bending strain energy, per

    unit length, calculated from the bending

    moment shown in Fig. 6. The TransmittedStrain Energy is calculated the same way, forthe upper BHA which is usually the first few

    joints of HWDP. The Stabilizer Side Force

    Index is the sum of the dynamic contact

    forces, which are the vertical line segmentsin the shear load seen in Fig. 6. The End-

    Point Curvature Index is a measure of the

    system output at the top of the model if oneconsiders a perturbation at the bit to be the

    system input.

    Standard BHA

    No Near-Bit Stab

    Move Roller Reamer

    Redesigned BHA

    Fig. 5. Two intermediate configurations were introduced in the model, No Near-Bit and Move RR.

    Standard BHA

    No Near-Bit Stab

    Move Roller Reamer

    Redesigned BHA

    Fig. 5. Two intermediate configurations were introduced in the model, No Near-Bit and Move RR.

    Displacement

    Tilt Angle

    Bending Moment

    Shear Load

    Distance to Bit (ft) Blue BHA has

    smallest responseDynamic shear load discontinuityat contact points

    WOB = 30 kips, 136 RPM, Mode 1X RPM

    Reference Side Force Applied at Bit

    Fig. 6. Displacement, tilt, bending moment, and shear load chart at a specific WOB, RPM, and mode.

    Displacement

    Tilt Angle

    Bending Moment

    Shear Load

    Distance to Bit (ft)

    Displacement

    Tilt Angle

    Bending Moment

    Shear Load

    Distance to Bit (ft) Blue BHA has

    smallest responseDynamic shear load discontinuityat contact points

    WOB = 30 kips, 136 RPM, Mode 1X RPM

    Reference Side Force Applied at Bit

    Fig. 6. Displacement, tilt, bending moment, and shear load chart at a specific WOB, RPM, and mode.

    RPM DBIT

    RPM DBIT

    Contact Interferenceat Near-Bit Stabilizer

    RPM DBIT

    RPM DBIT

    Contact Interferenceat Roller Reamer

    WOB = 30 klbs

    Mode 1X

    Fig. 7. Beam shear load response for all configurations, at 30 klbs bit weight, for the 1X excitation.

    RPM DBIT

    RPM DBIT

    Contact Interferenceat Near-Bit Stabilizer

    RPM DBIT

    RPM DBIT

    Contact Interferenceat Roller Reamer

    WOB = 30 klbs

    Mode 1X

    Fig. 7. Beam shear load response for all configurations, at 30 klbs bit weight, for the 1X excitation.

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    A set of lateral bending indices for these

    four BHA configurations, two run in the field

    and two analyzed only with the model, areprovided in Fig. 9, for 30 klbs WOB. For each

    RPM, the RMS average value is calculated

    from the model results for each mode of

    excitation, for the flex mode lateral bending

    excitation. Here, the RMS average has beencalculated over modes 1X to 3X. Lower

    vibration indices indicate less vibration andthus smoother operations.

    As seen in Fig. 9, the dynamic vibration

    indices are reduced by a factor of two, three, or

    more from the red lines to the blue lines,depending on the specific index and the rotary

    speed range to be considered. This result

    indicates a significant reduction in the

    predicted vibrations for the blue BHA.

    From Fig. 9, one may make an assessmentof the approximate value of the individual

    design modifications. The model resultssuggest that elimination of the near-bit

    stabilizer and moving the roller reamer into the

    HWDP provide almost the same amount of

    reduction in BHA vibrations, and the results

    are cumulative. It now seems unnecessary toconduct further field trials to evaluate the two

    changes independently.

    The drilling parameters, measured data, and

    the calculated vibration indices may be plottedin data strips in well log format, referred to as a

    log-mode plot. The data for well 1 is shown

    in log-mode format in Fig. 10. The red bar inthe middle is a marker that separates run data

    on the left from model predictions on the right,and we know immediately that this is the red

    BHA. The MSE exceeds 100 ksi on a regular

    basis; the plots for Fig. 4 are taken from thisdataset (and from Fig. 11). The maximum

    lateral acceleration is typically about 5 gs.

    The log-mode plot for well 5 is provided inFig. 11. The data axes have been scaled

    identically to Fig. 10 to facilitate comparison.

    The values for WOB and RPM are roughlycomparable, but there is a significant reduction

    in MSE and LatMax compared to Fig. 10.

    The MSE is about 50 ksi, and the maximum

    lateral vibrations are typically 2-3 gs. TheRedesigned BHA drilled the interval moreefficientlythan the Standard BHA design.

    The index tracks to the right of the blue bar

    show that, in comparison to Fig. 10, there was

    a significant reduction in the flex modeBending Strain RMS (1st column), Bending

    Strain 1X result (2nd column), and End-Point

    Curvature (3rdcolumn). It is interesting to notethat the Bending Strain twirl mode index,

    shown in the last column, actually increased.

    BHA Strain Energy

    End-Point CurvatureBHA Sideforce

    TransmittedStrain Energy

    Fig. 9. Vibration indices for the 12-1/4-inch motor BHA redesign analysis.

    BHA Strain Energy

    End-Point CurvatureBHA Sideforce

    TransmittedStrain Energy

    BHA Strain Energy

    End-Point CurvatureBHA Sideforce

    TransmittedStrain Energy

    Fig. 9. Vibration indices for the 12-1/4-inch motor BHA redesign analysis.

    BHA Strain Energy Strain energy in the BHA due to

    bending deformation

    Good correlation to MSE

    Lateral bendingexcitation at the

    bit: NxRPM

    for N=1,2,3

    Transmitted Strain Energy Strain energy in the upper part of

    the BHA due to bending

    deformation

    Endpoint Curvature Curvature at the last element of BHA

    Good correlation to MSE

    Stab Sideforces Summation of dynamic reaction

    forces at the stabilizer contacts

    WOB

    Fig. 8. Displacement, tilt, bending moment, and shear load chart at a specific WOB, RPM, and mode.

    BHA Strain Energy Strain energy in the BHA due to

    bending deformation

    Good correlation to MSE

    Lateral bendingexcitation at the

    bit: NxRPM

    for N=1,2,3

    Transmitted Strain Energy Strain energy in the upper part of

    the BHA due to bending

    deformation

    Endpoint Curvature Curvature at the last element of BHA

    Good correlation to MSE

    Stab Sideforces Summation of dynamic reaction

    forces at the stabilizer contacts

    WOBWOB

    Fig. 8. Displacement, tilt, bending moment, and shear load chart at a specific WOB, RPM, and mode.

    Fig. 10. Log-mode display of data and model results for Standard BHA in Well 1.

    WOB RPM MSE LatMax BendStrn Mode1 EndCurv Twirl

    MeasuredDepth

    Fig. 10. Log-mode display of data and model results for Standard BHA in Well 1.

    WOB RPM MSE LatMax BendStrn Mode1 EndCurv Twirl

    MeasuredDepth

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    This data can be plotted in another way

    similar to the vibration index chart. Fig. 12 is

    the DVDT (Drilling Vibration Data Test)plot for well 1. As seen in Fig. 12, four

    quadrants are used to display the information.

    The LatMax measured data from the

    downhole MWD is the data plotted as pink

    circles. Curve fits to the data may be plottedas the dark red line, in this case a linear fit.

    Model results are plotted with black and bluex markers. In the top left quadrant of

    Fig. 12, the Bending Strain Energy index is

    plotted with the data as a function of RPM.

    The black x markers represent the flexmode RMS values (here, for modes 1X-4X),

    and the blue x symbols are for the twirl

    mode results. The bottom left chart shows

    this data plotted versus WOB.

    The right quadrants in Fig. 12 show thedata plotted with model results for a virtual

    sensor, wherein the virtual sensor in thisinstance is an accelerometer located at

    approximately the same location as the sensor

    in the tool. The virtual sensor provides

    model results at a given point, whereas the

    indices measure the system response in amore global sense. This feature may provide

    better comparison with point sensor data.

    The black x markers correspond to the

    RMS average for the flex lateral bendingmode, and the blue x markers represent the

    twirl mode results, as before. The y-axes are

    all scaled to a maximum value of 10, the peakmaximum lateral acceleration in well 1, in

    gs. In Fig. 12, it is apparent that the line fitto the data is more closely aligned with the

    black flex mode bending strain energy than

    with twirl.Fig. 13 is the DVDT plot for well 5,

    formatted with data and scaled identically to

    Fig. 12. It is apparent that the maximumlateral vibrations are considerably lower for

    the blue BHA, with few values in excess of

    3 gs. In this plot, the line fit to the data moreclosely tracks the twirl mode values and has a

    different slope from the lateral bending flex

    mode.

    The closer correspondence of the blueBHA to the twirl mode is in agreement withthe log-mode comparisons. The design

    change has appeared to result in a conversion

    from a lateral bending flex response to a less-

    damaging twirl response.The data supports the design process

    whereby decisions are based primarily on the

    flex mode values, with twirl used to provide asecondary assessment for designs with nearly

    identical flex mode behavior. This is the first

    such case to directly support this design

    approach.

    Fig. 12. DVDT display of data and model results for Standard BHA in Well 1.Fig. 12. DVDT display of data and model results for Standard BHA in Well 1.

    Fig. 13. DVDT display of data and model results for Redesigned BHA in Well 5.Fig. 13. DVDT display of data and model results for Redesigned BHA in Well 5.

    Fig. 11. Log-mode display of data and model results for Redesigned BHA in Well 5.

    WOB RPM MSE LatMax BendStrn Mode1 EndCurv Twirl

    MeasuredDepth

    Fig. 11. Log-mode display of data and model results for Redesigned BHA in Well 5.

    WOB RPM MSE LatMax BendStrn Mode1 EndCurv Twirl

    MeasuredDepth

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    Case 2: Comparative Assessment ofTwo Rotary Steerable AssembliesFor specialty directional drilling applications,e.g., longer horizontal departure wells, the

    operator will sometimes choose rotary

    steerable systems (RSS) for the drilling

    assembly. In general, RSS results in the

    12-1/4-inch section have been good.However, results in the 8-1/2-inch section

    have been mixed, with some excellent runsand some other runs in which the assembly

    was replaced with a conventional motor BHA

    before reaching TD. Two recent RSS runs in

    8-1/2-inch holesize are compared in order tohighlight differences in design with respect to

    vibration indices and actual field results.

    Fig. 14 illustrates two RSS tools, one

    shown in orange and the other in purple. The

    3D plot of beam shear load versus RPM anddistance to bit for a representative WOB and

    an excitation mode of 1X RPM is alsoprovided. Note that the orange assembly

    shows a high degree of amplification of the

    response, whereas the purple BHA shows a

    subdued, flat response.

    The vibration indices are shown in Fig.15, where the max value (thin colored line) is

    plotted in addition to the RMS value (thick

    colored line). Here the RMS value is

    averaged over all calculated excitation modes(1X to 3X) and all selected positions of the

    top node location.

    The vibration indices in Fig. 15 show thatthe orange assembly is not expected to drill

    as well as the purple BHA. From priorexperience and model calibration, it is known

    that BHA designs with End-Point Curvature

    index values in the low single digits are likelyto drill well. Efforts to normalize the other

    indices are in progress to enable further

    understanding of absolute index performance.A summary of these two runs is provided

    in Fig. 16. Corresponding to the model

    results, RSS-1 experienced problems drillingout the shoe, and after making a few hundred

    feet of hole with one intermediate trip to

    replace MWD components it was laid down.

    This hole section was then drilled with aconventional motor BHA.

    On the other hand, RSS-2 completed its

    interval of nearly 5000 ft with very low levels

    of lateral vibrations, manageable stick-slip,

    good directional control, and a sustainableROP of 50 ft/hour.

    Fig. 17 illustrates the drilling results for

    the RSS-1 assembly. MSE values wererarely below 200 ksi and were typically 300

    ksi or more. Stick-slip was also continuously

    high for this assembly.

    Fig. 14. Two rotary steerable configurations for 8-1/2-inch holesize.

    RSS-1

    RSS-2

    Fig. 14. Two rotary steerable configurations for 8-1/2-inch holesize.

    RSS-1

    RSS-2RSS-2

    Vibration indices for

    purple RSS-2 much

    lower than those for

    the orange RSS-1

    Typically, this order of

    magnitude difference

    indicates very

    different performance

    purple down hereFlex BHA Strain Energy

    Flex Stab Sideforce

    Flex End-Pt Curvature

    Flex Trans Strain Energy

    Fig. 15. Vibration indices for the 8-1/2-inch rotary steerable system analysis.

    Values for End-Point

    Curvature of 3-5

    Suggest GoodPerformance

    Vibration indices for

    purple RSS-2 much

    lower than those for

    the orange RSS-1

    Typically, this order of

    magnitude difference

    indicates very

    different performance

    purple down hereFlex BHA Strain Energy

    Flex Stab Sideforce

    Flex End-Pt Curvature

    Flex Trans Strain Energy

    purple down hereFlex BHA Strain Energy

    Flex Stab Sideforce

    Flex End-Pt Curvature

    Flex Trans Strain Energy

    Fig. 15. Vibration indices for the 8-1/2-inch rotary steerable system analysis.

    Values for End-Point

    Curvature of 3-5

    Suggest GoodPerformance

    RSS-1

    Experienced very high MSE values during drill out

    Both high MSE & stick slip observed while drilling below casing shoe

    Lateral vibrations exceeding 4gs with continuous stick-slip

    Two runs failed immediately (internal communications failures)

    Equipment & maintenance procedures OR vibrations ?

    RSS-2

    Drilled to section total depth, almost 5000 ft

    Mostly low to moderate levels of stick-slip

    Minimal lateral vibrations

    Good directional control into tight target with ROP of ~ 50 fph

    Final bit grade of 1-3-CT-S-X-I-CT-TD

    Fig. 16. Summary of results for RSS-1 and RSS-2 runs.

    RSS-1

    Experienced very high MSE values during drill out

    Both high MSE & stick slip observed while drilling below casing shoe

    Lateral vibrations exceeding 4gs with continuous stick-slip

    Two runs failed immediately (internal communications failures)

    Equipment & maintenance procedures OR vibrations ?

    RSS-2

    Drilled to section total depth, almost 5000 ft

    Mostly low to moderate levels of stick-slip

    Minimal lateral vibrations

    Good directional control into tight target with ROP of ~ 50 fph

    Final bit grade of 1-3-CT-S-X-I-CT-TD

    Fig. 16. Summary of results for RSS-1 and RSS-2 runs.

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    The RSS-2 model results for the

    measured drilling parameters, presented in

    the log-mode display format, are provided inFig. 18. For the RPM and WOB used to drill

    the section, calculated End-Point Curvature

    indices were low relative to our experience-

    based criteria, and the drilling results were

    also good. One may observe a couple ofintervals of stick-slip, but overall there are

    relatively low stick-slip vibrations.Fig. 19 shows the same data in the DVDT

    format. In Fig. 19, the vibration indices are

    plotted with the stick-slip data measurements

    over a 1300-ft depth interval. This intervalincludes a stick-slip event towards the end of

    the section. Note that in the DVDT display,

    the model results are scaled in such a way

    that the RMS averages of the two populations

    are made equal.The plot of Fig. 19 has four quadrants.

    Measured stick-slip vibration data is shownas the pink data circles, with the red quadratic

    trend curves. The top row of plots has RPM

    on the x-axis, and the bottom row is plotted

    against WOB, as before. The charts on the

    left side show Bending Strain Energy, and thecharts on the right show Transmitted Strain

    Energy. Only blue x values are shown for

    the twirl results for these indices.

    With considerable scatter in the data,higher stick-slip values tend to be associated

    with lower WOB and higher RPM. The

    highest stick-slip values are observed forrotary speeds over 90 RPM and bit weights

    less than 30 klbs. The data suggests that 30klbs may be a critical bit weight to suppress

    BHA whirl in this interval. The results also

    show that the twirl mode can be verysensitive to WOB, particularly for the upper

    BHA indices, such as the Transmitted Strain

    Energy shown on the right, but also the End-Point Curvature index (not shown). The

    BHA Strain Energy index and the virtual

    accelerometer (also not shown) indicate amore muted effect.

    This data pattern reflects a condition

    described as BHA whirl-induced stick-slip

    and is consistent with the model results. It isinteresting to note that this observationoccurs at conditions opposed to bit-induced

    stick-slip, and thus BHA whirl-induced stick-

    slip should be taken into consideration in

    both the design and operational phases.The overall assessment is that RSS-2 was

    a successful run, whereas RSS-1 was not.

    For this comparison, the vibration modelresults are in very good agreement with the

    field results.

    RPM Fluctuations

    13050

    13100

    13150

    13200

    13250

    13300

    13350

    13400

    13450

    0 50 100 150 200 250 300 350

    StickSlip

    RPM at Bit

    Fig. 17. Drilling data for RSS-1 shows very high MSE values and continuous stick-slip.

    MSE (ksi)

    13050

    13100

    13150

    13200

    13250

    13300

    13350

    13400

    13450

    0 200 400 600 800 1000 1200

    MSE

    High MSE values recorded

    during drillout

    High MSE and stick-slip

    below casing shoe

    Measured

    Depth

    RPM Fluctuations

    13050

    13100

    13150

    13200

    13250

    13300

    13350

    13400

    13450

    0 50 100 150 200 250 300 350

    StickSlip

    RPM at Bit

    RPM Fluctuations

    13050

    13100

    13150

    13200

    13250

    13300

    13350

    13400

    13450

    0 50 100 150 200 250 300 350

    StickSlip

    RPM at Bit

    Fig. 17. Drilling data for RSS-1 shows very high MSE values and continuous stick-slip.

    MSE (ksi)

    13050

    13100

    13150

    13200

    13250

    13300

    13350

    13400

    13450

    0 200 400 600 800 1000 1200

    MSE

    MSE (ksi)

    13050

    13100

    13150

    13200

    13250

    13300

    13350

    13400

    13450

    0 200 400 600 800 1000 1200

    MSE

    High MSE values recorded

    during drillout

    High MSE and stick-slip

    below casing shoe

    Measured

    Depth

    End-Pt

    Curvature

    Low ~ 1 to 4

    WOB RPM StickSl ip BendStrn Mode1 EndPtCurv Twirl

    Fig. 18. The Log Mode display for RSS-2 run, with low End-Point Curvature indices throughout run.

    MeasuredDepth

    End-Pt

    Curvature

    Low ~ 1 to 4

    WOB RPM StickSl ip BendStrn Mode1 EndPtCurv Twirl

    Fig. 18. The Log Mode display for RSS-2 run, with low End-Point Curvature indices throughout run.

    End-Pt

    Curvature

    Low ~ 1 to 4

    WOB RPM StickSl ip BendStrn Mode1 EndPtCurv Twirl

    Fig. 18. The Log Mode display for RSS-2 run, with low End-Point Curvature indices throughout run.

    MeasuredDepth

    Fig. 19. Data from Fig. 18 plotted versus RPM (top row) and WOB (bottom row) for a 1300 ft interval.Fig. 19. Data from Fig. 18 plotted versus RPM (top row) and WOB (bottom row) for a 1300 ft interval.Fig. 19. Data from Fig. 18 plotted versus RPM (top row) and WOB (bottom row) for a 1300 ft interval.

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    Case 3: Sweet Spot Prediction for a 17-1/2-inch Motor BHAIt was noted in a morning report that one of therigs experienced a sweet spot around 90

    RPM while drilling with a 17-1/2-inch motor

    assembly that is used commonly in the field.

    As a final case study, this observation is

    investigated.A schematic of the BHA design is provided

    in Fig. 20. The top stabilizer is considerablyundergauge, however, it is treated as a nodal

    point in the model. Stabilizer contact at this

    location along the assembly will cause it to be

    a nodal point. Also shown in Fig. 20 is a 3Dmap of the 1X flex mode result for this design.

    The line parallel to the DBIT axis represents

    a slice along the BHA for a given operating

    speed. The line at 90 RPM in Fig. 20 crosses

    the tapered end of several humps, suggestingthat vibration mode peaks seen at higher speeds

    may be avoided at 85-90 RPM.The Transmitted Strain Energy vibration

    indices for the individual 1X, 2X, and 3X

    modes are plotted in Fig. 21. One may note

    that there is a considerable rise in the 1X shape

    above 85-90 RPM, and the 90 RPM point isnear the right edge of a flat response extending

    back to 55 RPM. However, the 2X mode is on

    a decline from 60 RPM to 85 RPM, then it

    gradually rises towards 110 RPM. Finally, the3X mode response shows a local minimum

    near 85-90 RPM.

    Thus, comparing the 3D chart in Fig. 20and the individual components of the lateral

    bending vibration index in Fig. 21, the modelresults tend to support the field observation of

    a sweet spot near 90 RPM.

    Using the DVDT plot format, Fig. 22provides LatMax acceleration data, in gs,

    for a 2870 ft run in the well in which the sweet

    spot observation was made. The solid redcurve is a quadratic fit to the data, showing a

    slight bowing tendency towards 85-90 RPM.

    The data shown with the black x is theTransmitted Strain Energy, with the 1X mode

    at top left, the 2X mode at top right, the 3X

    mode at bottom left, and the RMS(1X-3X) at

    bottom right.There is a reasonable correspondence

    between the curve fit and the model results in

    Fig. 22. A sweet spot near 90 RPM is indeed

    plausible, given the model results and field

    data shown in these charts. In this particularcase, the project team set two field records

    (fastest 24-hour footage and best cycle time for

    all 17-1/2-inch sections), attributable in part torotary speed optimization. The operator nowuses vibration model results in all pre-section

    technical reviews in order to enhance field

    optimization practices.

    Model shows reduced

    amplitude ~90 RPM

    Fig. 20. Standard motor BHA for 17-1/2-inch hole and 3D response surface for 1X flex mode.

    Model shows reduced

    amplitude ~90 RPM

    Model shows reduced

    amplitude ~90 RPM

    Fig. 20. Standard motor BHA for 17-1/2-inch hole and 3D response surface for 1X flex mode.

    Fig. 21. Lateral bending indices (Transmitted Strain Energy Index)for individual excitation modes.

    1X mode

    3X mode

    2X mode

    Fig. 21. Lateral bending indices (Transmitted Strain Energy Index)for individual excitation modes.

    1X mode

    3X mode

    2X mode

    Fig. 22. Log-mode display for field run in which 90 RPM was cited as sweet spot.Fig. 22. Log-mode display for field run in which 90 RPM was cited as sweet spot.

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    SummaryBottom-hole assembly design improvement is an important component of vibrations management. It has been demonstrated

    that better understanding and modeling of the influence of stabilizer and roller reamer placement on dynamic bending forcesand lateral stability enables development of improved BHA designs. A comparative modeling approach has been

    implemented with an efficient frequency-domain vibration model to assess the relative vibration tendency of different

    assembly designs, and the model results are closely aligned with field experience.

    In the first case study, it was shown that the placement of roller reamers and stabilizers in a BHA design can significantly

    affect BHA dynamics and drilling performance. Lower vibration indices are associated with higher daily footage, better bitgrades, and less damage to BHA components, in this case roller reamers. The second case study compared two rotary

    steerable assemblies, one which ran a few hundred feet and was pulled for failing twice, showing excessive levels of lateralvibrations, stick-slip, and mechanical specific energy. The second RSS configuration drilled almost 5000 ft and achieved all

    directional objectives. Model results showed significantly lower lateral bending flex indices for this design. The third case

    study showed that both model and field drilling data agree with a rotary speed sweet spot for this BHA near 90 RPM.

    In these studies, the relative influence of flex lateral bending and rotational twirl modes was considered, and it has beenfound that the most critical design objective is to reduce the flex mode indices to reduce lateral vibrations. In one case

    study, the data suggests that twirl indices for the upper BHA can be used as a secondary assessment tool to evaluate the

    potential for BHA-induced stick-slip tendencies of various design alternatives.

    In these and several other case studies, it has been found that a relative performance assessment based on use of the model

    is a good predictor of field results. The joint vibrations study has been integral to the operators drilling performancemanagement system and has resulted in close collaboration during the well design cycle.

    AcknowledgementsThe authors are grateful for the support of ExxonMobil and RasGas Company Limited for permission to publish this paper.

    We have continued to enjoy working with our co-authors of the previous papers referenced below, and we appreciate their

    continued support and guidance. All figures in this paper are original figures created by ExxonMobil and RasGas Company

    Limited.

    References1. Dupriest, F. E., J. W. Witt, S. M. Remmert, and D. R. Aberdeen. Maxmizing Rate of Penetration with Real Time Analysis of Digital

    Data. IPTC Paper 10706 presented at the 2005 International Petroleum Technology Conference, Doha, Qatar, Nov. 21-23.2. Remmert, S. M., J. W. Witt, and F. E. Dupriest. Implementation of ROP Management Process in Qatar North Field. IADC/SPE

    Paper 105521 presented at the 2007 IADC /SPE Drilling Conference, Amsterdam, Feb. 20-22.

    3. Bailey, J. R., E. A. O. Biediger, V. Gupta, D. Ertas, W. C. Elks, and F. E. Dupriest. Drilling Vibrations Modeling and FieldValidation. IADC/SPE Paper 112650 presented at the 2008 IADC /SPE Drilling Conference, Orlando FL, Mar. 4-6.

    4. Bailey, J. R., E. A. O. Biediger, S. Sundararaman, A. D. Carson, W. C. Elks, and F. E. Dupriest. Development and Application of aBHA Vibrations Model. IPTC Paper 12737 presented at the 2008 International Petroleum Technology Conference, Kuala Lumpur,

    Malaysia, Dec. 3-5.