Boreholes are drilled deep into the earth for many applications such as carbon dioxide sequestration, geothermal production, and hydrocarbon exploration and production. A borehole is typically drilled using a drill bit disposed at a distal end of a series of coupled drill pipes referred to as a drill string. As the borehole gets deeper, the drill string generally becomes highly flexible and exhibits axial, torsional, and lateral vibrations while drilling. When these vibrations are severe, the rate of penetration can decrease and damage to downhole tools and components can occur resulting in increased drilling costs. Hence, it would be well received in the drilling industry if an operator could be provided with accurate knowledge of the downhole dynamics of the drill string in order to be able to reduce severe downhole vibrations and increase the rate of penetration.
Disclosed is an apparatus for displaying three-dimensional motion of a drill string in a borehole penetrating the earth to a user in real time. The apparatus includes: an accelerometer disposed in the borehole at the drill string and configured to measure acceleration in at least three different directions; a strain sensor disposed in the borehole at the drill string and configured to measure strain or a bending moment at the drill string in two different directions; a magnetometer disposed in the borehole at the drill string and configured to measure an earth's magnetic field to determine rotational velocity of the drill string; a processor disposed at a surface of the earth and configured to receive the measurements from the accelerometer, the strain sensor, and the magnetometer to process these measurements to estimate the three-dimensional motion of the drill string; a display coupled to the processor and configured to display the three-dimensional motion of the drill string to the user; and a high-speed telemetry system configured to transmit measurements from the accelerometer, the strain sensor, and the magnetometer to the processor in real time.
Also disclosed is a method for displaying three-dimensional motion of a drill string in a borehole penetrating the earth to a user in real time. The method includes: disposing in the borehole at the drill string an accelerometer configured to measure acceleration in at least three different directions, a strain sensor configured to measure strain or a bending moment at the drill string in two different directions, and a magnetometer configured to measure an earth's magnetic field to determine rotational velocity of the drill string; transmitting measurements from the accelerometer, the strain sensor, and the magnetometer to a processor disposed at a surface of the earth in real time using a high-speed telemetry system; processing the acceleration measurements, the strain sensor measurements, and the magnetometer measurements with the processor to estimate the three-dimensional motion of the drill string downhole; and displaying the three-dimensional motion to the user in real time using a display.
Further disclosed is an apparatus for displaying three-dimensional motion of a drill string in a borehole penetrating the earth to a user in real time. The apparatus includes: an accelerometer disposed in the borehole at the drill string and configured to measure acceleration in at least three different directions; a strain sensor disposed in the borehole at the drill string and configured to measure strain or a bending moment at the drill string in two different directions; a magnetometer disposed in the borehole at the drill string and configured to measure an earth's magnetic field to determine rotational velocity of the drill string; a processor disposed downhole at the drill string and configured to receive the measurements from the accelerometer, the strain sensor, and the magnetometer to process these measurements to estimate the three-dimensional motion of the drill string; a display disposed at the surface of the earth and coupled to the processor and configured to display the three-dimensional motion of the drill string to the user; and a high-speed telemetry system configured to transmit processed data related to the estimate of the three-dimensional motion from the processor to the display in real time.
Further disclosed is a method for displaying three-dimensional motion of a drill string in a borehole penetrating the earth to a user in real time. The method includes: disposing in the borehole at the drill string an accelerometer configured to measure acceleration in at least three different directions, a strain sensor configured to measure strain or a bending moment at the drill string in two different directions, and a magnetometer configured to measure an earth's magnetic field to determine rotational velocity of the drill string; receiving measurements from the accelerometer, the strain sensor, and the magnetometer with a processor disposed downhole at the drill string; processing the acceleration measurements, the strain sensor measurements, and the magnetometer measurements with the processor to estimate the three-dimensional motion of the drill string downhole; transmitting data related to the estimate of the three-dimensional motion from the processor to a display disposed at a surface of the earth in real time using a high-speed telemetry system; and displaying the three-dimensional motion to the user in real time using the display.
The following descriptions should not be considered limiting in any way. With reference to the accompanying drawings, like elements are numbered alike:
A detailed description of one or more embodiments of the disclosed apparatus and method presented herein by way of exemplification and not limitation with reference to the Figures.
Still referring to
Reference may now be had to
In one or more embodiments, the electronic unit 9 is configured to process sensor data downhole to perform diagnostic checks of the downhole drilling operation. For example, an algorithm performed by the electronic unit 9 processes signals from the first and second magnetometers 210 and 220 to determine the instantaneous and the average rotational velocity. Another algorithm is applied to signals received from the third and fourth strain gauges 23 and 24. The combined results provide an input to determine a whirl diagnostic check. If whirl is diagnosed, then a diagnostic flag or alert is triggered. The diagnostic flag is then transmitted by the telemetry system 12 to the computer processing system 15 for display to the operator. Non-limiting embodiments of the diagnostic checks include bit bounce, stick/slip, forward and backward whirl, torque shocks, severe axial acceleration or vibration, severe lateral acceleration or vibration, severe torsional loads or vibrations, severe drill string bending, and bit cutting efficiency where “severe” relates to exceeding a specified threshold or graduated thresholds. Alternatively, the computer processing system 11 receives data from the plurality of sensors 9 and performs the diagnostic checks.
Reference may now be had to
Reference may now be had to
Still referring to
From the three-dimensional display of motion, the operator can readily detect drill string motion problems as the problems develop or before they occur. For example, by knowing the direction of rotation of the drill string 5 (i.e., clockwise in
The conventional drill string rotation is clockwise looking downhole (i.e., in a mathematically negative direction).
Constants:
π=3.141592
g=g*32.2*12.0 (inch units): For acceleration in ‘g’ units
Inputs:
(i) Sample rate (sr)
(ii) Borehole Diameter (dh) (inch)
(iii) BHA Diameter—outside and inside do, d, (inch)
(iv) Location of sensor between bit and first stabilizer, (Ls) (inch), measured from bit
(v) Location of first stabilizer from bit, L (inch), measured from bit
Step 51 calls for reading the following sensor data files:
(i) Acceleration: lateral ax(t) in x-direction and ay(t) in y-direction and axial az(t) in the z-direction
(ii) Bending moment—bx(t) in x-direction and by(t) in y-direction
(iii) Magnetometer measurements—magx in x-direction and magy in y-direction
(iv) WOB (weight on bit) and TOB (torque on bit)
Number of samples corresponding to input time: ti=sr*tinp where tinp is the measurement start time.
Number of samples corresponding to output time: to=sr*tout where tout is the measurement stop time.
Number of samples of data points or measurements: ns=to−ti.
Step 52 calls for computing instantaneous BHA rotational frequency (or BHA RPM (revolutions per minute)) using the magnetometer measurements as follows:
f=IFREQ(magx,magy,sr) where IFREQ is instantaneous frequency of rotation of the drill string
ω(t)=−2πf (Instantaneous frequency in rad/sec)
N(t)=−60ω(t) (Instantaneous RPM)
Note: Use negative sign for clockwise rotation
Take running average of RPM over 10 seconds in one embodiment to get Averaged Instantaneous RPM
Step 53 calls for processing bending data from strain gauges 23 and 24 as follows:
(i) Convert X & Y bending data (bx and by) to inch units
(ii) Compute instantaneous bending frequency fb (Bending RPM)
f
b=IFREQ(bx,by,sr)
ωb=2πfb (Instantaneous bending frequency in rad/sec)
N
b(t)=60ωb(t) (Instantaneous bending RPM, running average over 10 seconds in one embodiment)
t=0, 1, 2, 3, . . . ns−1
(iii) Compute Whirl RPM (Nw)
N
W(t)=N(t)−Nb(t): Whirl RPM
ωb(t)=−2πNw(t): Whirl RPM in radians/sec
t=0, 1, 2, . . . ns−1
Note: Use negative sign for clockwise rotation
(iv) Compute theoretical Whirl RPM
t=0, 1, 2, . . . ns−1
(v) Calculate whirl radius using bending moment measurements
b
m(t)=√{square root over (bx2(t)+by2(t))}{square root over (bx2(t)+by2(t))}
t=0, 1, 2, . . . ns−1
Step 54 calls for computing lateral displacement of the BHA in the borehole using lateral acceleration data and/or bending moment data as follows:
(i) Convert X,Y and Z acceleration data into inch units
(ii) Compute whirl radius using X & Y acceleration data
a
l(t)=√{square root over (αx2(t)+αy2(t))}{square root over (αx2(t)+αy2(t))}
t=0, 1, 2, . . . ns−1
(iii) Compute X and Y displacements of the sensor (point on drill collar) when whirling about borehole center with whirl rate ωb:
x
a(t)=ra(t)cos(ωb(t)*t)
y
a(t)=ra(t)sin(ωb(t)*t)
or
x
b(t)=rb(t)cos(ωb(t)*t)
y
b(t)=rb(t)sin(ωb(t)*t)
then its maximum displacement is reached.
Step 55 calls for computing axial bit or BHA displacement using acceleration in the Z-direction as follows:
Compute axial displacement using double numerical integration of the acceleration data in the Z-direction.
Step 56 calls for drawing the borehole and the dynamic location of the collar or BHA inside of the borehole as follows:
(a) Draw borehole assuming round borehole having diameter of the drill bit or using borehole caliper data.
Determine location xh and yh of the borehole; Dividing the circumference into 1000 parts in one embodiment.
where nn=1000
(b) Draw dynamic location of the BHA inside borehole
(i) Draw the BHA by dividing its circumference into, say 1000 parts. Thus each point on the circumference i.e. xcs and ycs, is given by
(ii) Determine dynamic location of the BHA inside borehole (using dynamic sensor locations given by xa & ya or xb & yb) (i.e., plot the BHA for each time location of BHA center)
x
c(t)=xa(t)+xcs
y
c(t)=ya(t)+ycs
(iii) Plot BHA axes for each time location of the BHA, taking into account the BHA rotation rate N or ω. Plot a line from:
x
ab(t)+0.5*dc*cos [ω(t)*t]→xab(t)+0.5*dc*cos [ω(t)*t+π]
and another line at 90 degrees to it
Step 57 calls for determining and drawing bending moment vector and direction as follows:
Draw the bending moment vector on the BHA from point xbm0(t), ybm0(t) to point xbm1(t), ybm1(t), where
where xab & yab are the time dependent sensor locations based on either BM or acceleration measurements i.e. xa & ya or xb & yb.
Note: Negative sign for clockwise rotation.
Note: Use similar procedure to draw normalized weight-on-bit (WOB) and torque-on-bit (TOB) on the BHA.
It can be appreciated that advantages of the visualization of a downhole portion of the drill string include the capability to visualize in real time: forward and backwards whirl, axial and lateral motion, chaotic motion; stick-slip bit bounce; axial, lateral and torsionally severe vibrations; axial, lateral and torsionally severe loads; and any combination of these. By visualizing these events or actions leading to these events in real time, a drilling operator can take actions to prevent damage to downhole components or increase the rate of penetration.
It can be appreciated that sampling downhole measurements with the electronic unit 11 at a high sampling rate such as greater than 100 Hz provides for a more detailed and accurate visualization of the dynamic motion of the BHA 10. Similarly, it can be appreciated that the high-speed telemetry system 12 can have the capability to transmit the data sampled at the high sampling rate in real time to the computer processing system 15.
In one or more embodiments where the bandwidth of the high-speed telemetry system 12 may be limited such as by a malfunction, the electronic unit 11 can down-sample the downhole measurements at a lower sampling rate than normal, but at a sample rate that still contains the signals representing the motions and loads of interest, such that the remaining bandwidth is used to transmit the measurements related to BHA motion and loads of interest. In this case, the original sample rate is recovered by up-sampling the received data in the surface computer processing system 15. Similarly, the electronic unit 11 can restore the downhole measurements to the normal or original sampling rate when the available bandwidth of the telemetry system 12 increases.
In one or more embodiments, the disclosed techniques for visualizing motion of the BHA 10 can be applied to previously recorded downhole sensor data in order to recreate the BHA motions that lead to the recorded accelerations and loads such as bending moments.
In one or more embodiments, the computer processing system 15 can be configured to play back BHA motions at a rate specified by the user, so that motions and loads can be examined with greater detail similar to playing back images recorded by a high-speed camera in slow motion. In this case, it is preferable that the sample rate be carefully adjusted using anti-aliasing filters when visually speeding up or slowing down the playback speed to avoid introducing visual aliasing (i.e., so that the represented motions are faithful to the measured motion.
In one or more embodiments, the computer processing system 15 can be configured to display conventional diagnostics or alarms and/or raw data traces alongside the display of motion visualization, so that the user gains an understanding of the motions and loads being experienced the BHA or drill string downhole.
In support of the teachings herein, various analysis components may be used, including a digital and/or an analog system. For example, the downhole electronic device 11, the surface computer processing 15, or any of the downhole sensors may include the digital and/or analog system. The system may have components such as a processor, storage media, memory, input, output, communications link (wired, wireless, optical or other), user interfaces, software programs, signal processors (digital or analog) and other such components (such as resistors, capacitors, inductors and others) to provide for operation and analyses of the apparatus and methods disclosed herein in any of several manners well-appreciated in the art. It is considered that these teachings may be, but need not be, implemented in conjunction with a set of computer executable instructions stored on a non-transitory computer readable medium, including memory (ROMs, RAMs), optical (CD-ROMs), or magnetic (disks, hard drives), or any other type that when executed causes a computer to implement the method of the present invention. These instructions may provide for equipment operation, control, data collection and analysis and other functions deemed relevant by a system designer, owner, user or other such personnel, in addition to the functions described in this disclosure.
Further, various other components may be included and called upon for providing for aspects of the teachings herein. For example, a power supply (e.g., at least one of a generator, a remote supply and a battery), cooling component, heating component, magnet, electromagnet, sensor, electrode, transmitter, receiver, transceiver, antenna, controller, optical unit, electrical unit or electromechanical unit may be included in support of the various aspects discussed herein or in support of other functions beyond this disclosure.
The term “drill string” as used herein relates to a string of jointed drill pipe and includes bottom-hole-assemblies, drill string inserts, modules, internal housings and substrate portions thereof. Hence, reference to motions and loads measured by sensors in these drill string components inherently refer to motions and loads experienced by the drill string. Similarly, the motions and loads can also refer to the drill bit when the sensors are in close proximity to the drill bit. In one or more embodiments, a bottom-hole-assembly can be a collar surrounding a portion of the drill string. Hence, reference to a bottom-hole-assembly inherently includes a collar.
Elements of the embodiments have been introduced with either the articles “a” or “an.” The articles are intended to mean that there are one or more of the elements. The terms “including” and “having” are intended to be inclusive such that there may be additional elements other than the elements listed. The conjunction “or” when used with a list of at least two terms is intended to mean any term or combination of terms. The terms “first,” “second” and the like are used to distinguish elements and are not used to denote a particular order. The term “couple” relates to coupling a first component to a second component either directly or indirectly through an intermediate component.
It will be recognized that the various components or technologies may provide certain necessary or beneficial functionality or features. Accordingly, these functions and features as may be needed in support of the appended claims and variations thereof, are recognized as being inherently included as a part of the teachings herein and a part of the invention disclosed.
While the invention has been described with reference to exemplary embodiments, it will be understood that various changes may be made and equivalents may be substituted for elements thereof without departing from the scope of the invention. In addition, many modifications will be appreciated to adapt a particular instrument, situation or material to the teachings of the invention without departing from the essential scope thereof. Therefore, it is intended that the invention not be limited to the particular embodiment disclosed as the best mode contemplated for carrying out this invention, but that the invention will include all embodiments falling within the scope of the appended claims.