CROSS-REFERENCE TO RELATED APPLICATIONS
[0001] This application claims priority to Provisional
U.S. Application 61/319,546, "Passive Ranging While Drilling" and filed March 31, 2010 by Paul F. Rodney.
BACKGROUND
[0002] The world depends on hydrocarbons to solve many of its energy needs. Consequently,
oil field operators strive to produce and sell hydrocarbons as efficiently as possible.
Much of the easily obtainable oil has already been produced, so new techniques are
being developed to extract less accessible hydrocarbons. These techniques often involve
drilling a borehole in close proximity to one or more existing wells. One such technique
is steam-assisted gravity drainage ("SAGD") as described in
U.S. Patent 6,257,334, "Steam-Assisted Gravity Drainage Heavy Oil Recovery Process". SAGD uses a pair of
vertically-spaced, horizontal wells less than 10 meters apart, and careful control
of the spacing is important to the technique's effectiveness. Other examples of directed
drilling near an existing well include intersection for blowout control, multiple
wells drilled from an offshore platform, and closely spaced wells for geothermal energy
recovery.
[0003] One way to direct a borehole in close proximity to an existing well is "active ranging"
in which an electromagnetic source is located in the existing well and monitored via
sensors on the drillstring. By contrast systems that locate both the source and the
sensors on the drillstring are often termed "passive ranging". Passive ranging may
be preferred to active ranging because it does not require that operations on the
existing well be interrupted. Existing passive ranging techniques rely on magnetic
"hot spots" in the casing of the existing well, which limits the use of these techniques
to identify areas where there is a significant and abrupt change in the diameter of
casing or where the casing has taken on an anomalous magnetic moment, either by pre-polarization
of the casing before it is inserted into the wellbore, or as a random event. See,
e.g.,
US 5,541,517 "A Method for drilling a borehole from one cased borehole to another cased borehole."
In order to carry out such a polarization without interrupting production, it has
been regarded as necessary to polarize the casing at some point in the construction
of the well. This approach cannot be applied to wells that are already in commercial
service without interrupting that service.
[0004] US 2008/0018334 A1 discloses a rotating, transversely magnetized, magnet on a drill collar inducing
magnetization in a casing of a pre-existing well. A coil rotating synchronously with
the magnet produces a current at twice the frequency of rotation and having an amplitude
that depends upon the distance from the magnet to the pre-existing well.
[0005] WO 2009/151867 A2 proposes a method for producing a magnetic field with a magnetic field source positioned
in a first well producing a first output from a first magnetic field sensor subsystem
for sensing directional magnetic field components and producing a second output from
a second magnetic field sensor subsystem for sensing directional magnetic field components.
The first and second magnetic field sensor subsystems are positioned a distance apart
from each another within a second well.
[0006] WO 03/040762 relates to an apparatus and method for determining the direction between a rotating
magnetic field and alternating magnetic field sensors at a remote location. The curvature
of a borehole drilling assembly between a rotating drill bit carrying a permanent
magnet and sensors behind a drilling motor is measured to provide early indication
of changes in drilling direction. A second application concerns measurement of the
convergence and divergence and the skewness of two approximately parallel well bores
to provide information for correcting the drilling direction to maintain parallelism.
A third application measures the direction and distance to a point target to provide
data for guiding drilling toward that target. The primary apparatus are an oriented,
rotating permanent magnet and an oriented, three component alternating magnetic field
sensor.
SUMMARY OF INVENTION
[0007] From a first aspect, the present invention provides a ranging while drilling system
according to appended claim 1. From a second aspect, the present invention provides
a ranging while drilling method according to appended claim 8. Further optional features
are provided in the appended dependent claims.
BRIEF DESCRIPTION OF THE DRAWINGS
[0008] A better understanding of the various disclosed embodiments can be obtained when
the following detailed description is considered in conjunction with the accompanying
drawings, in which:
Fig. 1 shows an illustrative drilling environment in which electromagnetically-guided
drilling may be employed;
Fig. 2 shows an illustrative arrangement for passive ranging;
Fig. 3 shows an illustrative circuit for measuring induced field components;
Fig. 3 shows a signal processing circuit incorporating a phase-locked loop;
Figs. 4A-4B illustrate the effect of a tilted magnetic source;
Figs. 5A-5B show a predicted cross-axial field strength as a function of distance;
Figs. 6A-6B show a predicted axial field strength as a function of distance;
Fig. 7 is a flow diagram of an illustrative forward model; and
Fig. 8 is a flow diagram of an illustrative ranging method.
While the invention is susceptible to various modifications and alternative forms,
specific embodiments thereof are shown by way of example in the drawings and will
herein be described in detail. It should be understood, however, that the drawings
and detailed description are not intended to limit the disclosure to these particular
embodiments, but on the contrary, the intention is to cover all modifications, equivalents
and alternatives falling within the scope of the appended claims.
DETAILED DESCRIPTION
[0009] The issues identified in the background are at least partly addressed by an improved
system and method for ranging while drilling. The approach described here, in effect,
induces a dynamic hot spot on the casing that acts as a magnetic source that can be
reliably detected from within the drillstring and which can be detected in such a
manner as to infer the relative position and orientation of the casing to the drillstring.
At least some disclosed method embodiments employ one or more rotating magnets in
the drillstring, an array of at least two magnetometers in the drillstring and one
or more phase-locked loops that are used to enhance the signal to noise ratio of the
magnetic signal scattered off of the casing from the rotating magnetic field. The
rotating magnet or magnets may be magnetic dipoles or magnetic multipoles. Preferably
(although not necessarily), at least one of the rotating magnets has a magnetic moment
that is at an angle to the borehole axis, the angle being neither parallel nor perpendicular
to the borehole axis.
[0010] At least some disclosed system embodiments include a drillstring and a processor.
The drillstring includes a magnetic source, at least one magnetometer, and a rotation
sensor. The magnetic source induces a magnetic moment in a nearby casing string, which
in turn puts off a magnetic field that can be detected by the magnetometer. The processor
combines the rotation sensor measurements with the magnetometer measurements to estimate
a relative distance and direction to the casing string. The rotation sensor can be
a magnetometer spaced further away from the magnetic source, or it can be a gyroscope,
accelerometer, borehole wall sensor, or other form of rotation sensing device. The
rotation information enables the filtering out of the earth's magnetic field and other
static field components thereby enabling detection of the casing string at an estimated
range of at least 10 meters.
[0011] The disclosed systems and methods are best understood in the context of the larger
systems in which they operate. Accordingly, Fig. 1 shows an illustrative geosteering
environment. A drilling platform 2 supports a derrick 4 having a traveling block 6
for raising and lowering a drill string 8. A top drive 10 supports and rotates the
drill string 8 as it is lowered through the wellhead 12. A drill bit 14 is driven
by a downhole motor and/or rotation of the drill string 8. As bit 14 rotates, it creates
a borehole 16 that passes through various formations.
[0012] The drill bit 14 is just one piece of a bottom-hole assembly that includes one or
more drill collars (thick-walled steel pipe) to provide weight and rigidity to aid
the drilling process. Some of these drill collars include logging instruments to gather
measurements of various drilling parameters such as position, orientation, weight-on-bit,
borehole diameter, etc. The tool orientation may be specified in terms of a tool face
angle (rotational orientation), an inclination angle (the slope), and compass direction,
each of which can be derived from measurements by magnetometers, inclinometers, and/or
accelerometers, though other sensor types such as gyroscopes may alternatively be
used. In one specific embodiment, the tool includes a 3-axis fluxgate magnetometer
and a 3-axis accelerometer. As is known in the art, the combination of those two sensor
systems enables the measurement of the tool face angle, inclination angle, and compass
direction. In some embodiments, the tool face and hole inclination angles are calculated
from the accelerometer sensor output. The magnetometer sensor outputs are used to
calculate the compass direction.
[0013] The bottom-hole assembly further includes a ranging tool 26 to induce a magnetic
moment in nearby casing strings and to collect measurements of the resulting field
to determine distance and direction. Using these measurements in combination with
the tool orientation measurements, the driller can steer the drill bit 14 along a
desired path 18 relative to the existing well 19 in formation 46 using any one of
various suitable directional drilling systems, including steering vanes, a "bent sub",
and a rotary steerable system to steer the drill bit along a desired path 18 parallel
to an existing borehole. For precision steering, the steering vanes may be the most
desirable steering mechanism. The steering mechanism can be alternatively controlled
downhole, with a downhole controller programmed to follow the existing borehole 19
at a predetermined distance 48 and position (e.g., directly above or below the existing
borehole).
[0014] A pump 20 circulates drilling fluid through a feed pipe 22 to top drive 10, downhole
through the interior of drill string 8, through orifices in drill bit 14, back to
the surface via the annulus around drill string 8, and into a retention pit 24. The
drilling fluid transports cuttings from the borehole into the pit 24 and aids in maintaining
the borehole integrity. Moreover, a telemetry sub 28 coupled to the downhole tools
26 can transmit telemetry data to the surface via mud pulse telemetry. A transmitter
in the telemetry sub 28 modulates a resistance to drilling fluid flow to generate
pressure pulses that propagate along the fluid stream at the speed of sound to the
surface. One or more pressure transducers 30, 32 convert the pressure signal into
electrical signal(s) for a signal digitizer 34. Note that other forms of telemetry
exist and may be used to communicate signals from downhole to the digitizer. Such
telemetry may employ acoustic telemetry, electromagnetic telemetry, or telemetry via
wired drillpipe.
[0015] The digitizer 34 supplies a digital form of the telemetry signals via a communications
link 36 to a computer 38 or some other form of a data processing device. Computer
38 operates in accordance with software (which may be stored on information storage
media 40) and user input via an input device 42 to process and decode the received
signals. The resulting telemetry data may be further analyzed and processed by computer
38 to generate a display of useful information on a computer monitor 44 or some other
form of a display device. For example, a driller could employ this system to obtain
and monitor drilling parameters, formation properties, and the path of the borehole
relative to the existing borehole 19 and any detected formation boundaries. A downlink
channel can then be used to transmit steering commands from the surface to the bottom-hole
assembly.
[0016] The principle of operation will now be briefly described. Consider for simplicity
a magnetic dipole 202 (e.g., a permanent magnet or other mechanism for creating a
strong magnetic field) incorporated into a drill bit 14 with its moment orthogonal
to the symmetry axis of the drill bit, as shown in Fig. 2. (It turns out that this
may not be the best configuration for the magnet, but considerable insight can be
gained by considering it before moving on to a discussion of other configurations.)
Assuming that the casing 19 is made out of magnetically permeable material (which
is usually the case), the field 204 from magnet 202 induces a distribution 206 of
magnetic moment along the casing. Most of the moment is induced along the axis of
the casing, although some component is induced orthogonal to the axis. Since the contribution
from the induced moment orthogonal to the axis of the casing is small, it will be
neglected in this discussion, i.e., it will be assumed that the induced moment lies
along the axis of the casing.
[0017] For the illustrated geometry, the direction of the casing's induced moment is the
same along the length of the casing, while the magnitude varies in accordance with
a distribution similar to that sketched in Fig. 2. As the drill bit 14 rotates, the
distribution of magnetic moment induced along the casing changes. In some configurations,
the moment changes direction along the casing (either parallel to the axis of the
casing or anti-parallel to the axis of the casing).
[0018] The time varying magnetic field induced along the casing sets up a magnetic field
that is observable at one or more observation points on the drillstring 8, preferably
with a three-axis magnetometer 208, and more preferably with a plurality of three-axis
magnetometers 208, 209 constituting a differential magnetometer. The magnitude of
the received signal is a strong function of the distance of the observation point
or points from the casing, while the phase of the signal and the distribution in time
of the signal are functions of the orientation of the rotating magnetic source relative
to the casing and of the spatial distribution of the casing.
[0019] The magnetic field at the observation point(s) is composed of four terms: (1) the
earth's magnetic field; (2) the magnetic field from the drillstring's magnetic field
source; (3) magnetic fields from currents in the drillstring; and (4) the magnetic
field from the induced casing moment. To the extent that the earth's magnetic field
is parallel to the drillstring axis, it creates a static field that can be readily
measured and canceled. To the extent that it is orthogonal to the drillstring axis,
the earth's magnetic field appears as a sinusoidal oscillation having the same frequency
as the rotation of the drillstring. Both the static and oscillatory components can
be readily measured and canceled. In at least some system embodiments, a remote observation
point (e.g., magnetometers 209) are used to determine the earth's magnetic field strength
and orientation.
[0020] The second term is the magnetic field from the source. The source has a fixed magnitude
and a relatively fixed orientation and distance from the observation point. Accordingly,
this term is primarily a static field, although it may acquire a dynamic element to
the extent that there is torsion or bending of the drillstring between the point of
observation and the source location. This term can be eliminated by placing the magnetic
field sensor(s) sufficiently far from the magnetic source that they do not saturate
and AC coupling the output of the magnetometers to the signal processing circuitry.
Some embodiments may employ torque and strain sensors to detect motion of the source
relative to the observation point(s) and compensate accordingly. Alternatively, additional
observation points can be used to measure the separate contributions of the source
and the earth's magnetic field. (The relatively fixed field from the earth and the
faster-decaying field from the source enable the different observation points to distinguish
these contributions from each other and from the induced magnetic moment in the casing.)
[0021] The third term is attributable to electrical currents in the drillstring. Such currents
are described, for example, in
U.S. Pat. 7,650,292 "Method and apparatus for surveying a borehole with a rotating sensor package", along
with techniques for combating such currents. In at least some embodiments, such currents
are prevented by creating an insulating gap along the drillstring axis near the observation
point. Suitable gap constructions are described in, e.g., U.S. Pats. 5,138,313 ("Electrically
insulative gap sub assembly for tubular goods"); 6,098,727 ("Electrically insulating
gap subassembly for downhole electromagnetic transmission"); and 6,439,324 ("Electrically
insulating gap subassembly for downhole electromagnetic transmission").
[0022] The fourth term is the magnetic field from the casing, which consists of two parts:
a static contribution and a dynamic contribution. The static contribution is normally
not measurable at a range considered safe for collision avoidance unless there are
magnetic hot spots along the casing, as described earlier. The dynamic contribution
comes from the time varying distribution of induced magnetic moment along the casing.
At least some system embodiments focus on detecting this dynamic contribution and
using that to estimate distance and direction to the casing.
[0023] Static field contributions (e.g., the earth's magnetic field and the static contribution
from the casing) can be used to provide a reference signal for a phase lock loop or
another similar noise filter which can be applied to the observed field so as to single
out only the components that are synchronized with rotation. It is anticipated that
somewhere between 60 and 90 dB of noise attenuation can be obtained with such a technique
given the typical performance of phase-locked loops. From a signal processing standpoint,
the simplest way of obtaining such a reference signal is to place a magnetometer far
enough from the source 202 that it will not measure an appreciable component of the
signal arriving from the casing 19. This magnetometer signal provides both a frequency
reference and a copy of the uncorrupted earth's magnetic field that can be subtracted
from the magnetic field measured closer to the source at a point where the signal
arriving from the casing has a measurable value, thus greatly boosting the signal
to noise ratio. In addition, this signal provides a frequency reference for a phase-locked
loop.
[0024] Fig. 3 shows an illustrative circuit for such signal processing. A set of operational
amplifiers 302 amplifies the voltage from each of the axial and cross-axial magnetometers
at observation points 208, 209. A second set of differential amplifiers 304 determines
a difference between the respective axial measurements at observation points 208,
209, and the respective cross-axial measurements. The differential measurements are
filtered and demodulated by a phase lock loop 306 to produce three orthogonal component
measurements of the observed magnetic field. An optional frequency multiplier 308
may operate on one of the differential cross-axial measurement signals to provide
the reference clock for the phase lock loop. Note that when multipole sources are
used, a harmonic (the order of which depends on the number of poles) of the rotation
speed must be used to phase-lock with the signal (Note, as used here, multipole refers
to any configuration with more than 2 poles, whether it be a multi-dipole field or
a true multipole field in the mathematical sense). The second harmonic can be generated
by squaring the signal and high-pass filtering it. Higher harmonics can be generated
in a similar manner. The phase-locked loop is preferably a digital phase-locked loop
(DPLL). Many types of DPLLs are well known in the industry. In practice, the fundamental
frequency and several of the harmonics may be processed by repeating the circuit shown
in Fig. 3.
[0025] The circuit in Fig. 3 presumes that the two observation points 208, 209 are related
in a fairly rigid sense. Where it is desired to allow for bending and twisting of
the drillstring, a microprocessor or other programmable circuit can be used to perform
adaptive tracking of the geometrical relationship between the two observation points
and to compensate accordingly when deriving differential signals.
[0026] It may prove impractical to use a remote magnetometer 209 in some embodiments. In
this case, the earth's magnetic field component can be estimated from the three-axis
magnetometer outputs of the magnetometer intended to sense the casing signal (magnetometer
208) since the total field should be constant and the total cross-axial field should
vary very slowly as drilling progresses. This, however, will involve more signal processing
and may not be as effective as the differential magnetometer approach of Fig. 3. The
reference signal for the phase lock loop can be obtained with an accelerometer, inclinometer,
gyroscope, or other rotation sensing mechanism. MEMS (microelectromechanical systems)
gyros are available with a drift rate of 005°/s square_root(Hz). One such sensor is
the G50Z Gyro by Gladiator Technologies, Inc. To obtain a reasonable response with
this gyro, it would be desirable to open the frequency up to about 100 Hz and measure
the signal for about 10 seconds. During this period, the gyro will have drifted an
average of .5° in its measurements, which will somewhat impair the performance of
the phase locked loop. The rotation frequency information obtained using the gyro
can be combined with the orientation of the gyro relative to the magnetometer axes
and information about the tool orientation and magnetic field of the earth to provide
estimates of the earth-field component in the signal received at the magnetometers
used to sense the signal from the casing. The survey measurements would be made at
a point in the drillstring where the source does not interfere with the survey tool.
[0027] Once the casing component of the magnetic signal has been obtained, it can be interpreted
in terms of the applicable physics. This will now be described briefly. Details of
how the calculation is carried out are given in the appendix. Though the derivation
in the appendix is not perfectly general, it is nevertheless illustrative of an approach
that will yield estimated distance and direction from the sensor measurements. In
the appendix, a solution is made for the magnetic field measured at a point in a vertical
borehole with a dipole source having a dipole moment orthogonal to the borehole. The
casing is assumed to fall on a linear trajectory. Furthermore, only the field component
along the axis of the casing is considered in the analysis since the cross-axial dimensions
of the casing are small compared to the axial dimensions and the perturbation to the
field from a complete solution would be small in all cases where collision between
the well bore being drilled and the casing was unavoidable without cessation of drilling.
The technique described in the appendix is perfectly general in that it is a straightforward,
albeit tedious task to incorporate a dipole of arbitrary orientation with respect
to the drillstring axis. Similarly, the analysis is amenable to casings with nonlinear
profiles in space in that the analysis is reduced to a one-dimensional integral along
the axis of the casing. The analysis can be generalized to boreholes and casings of
arbitrary shape and orientation, with arbitrary source configuration. For multipole
fields, the analysis can be extended as a superposition of dipole fields, though some
multipole configurations may require an explicity multipole analysis.
[0028] Before looking at some specific calculations, it may be instructive to qualitatively
work through some limiting cases. Consider first the case where the axis of the dipole
is orthogonal to the drillstring, and both the drillstring and the casing are vertical.
With the dipole moment also orthogonal to the casing, the induced field resembles
a one-dimensional monopole on either side of the point of intersection of the axis
of the dipole with the casing. This follows from a simple visual inspection of the
dipole field. We might expect that in this particular case that the received field
at a point along the drillstring axis will have a magnitude that falls off approximately
as the inverse fifth power of the distance (since the dipole field decays as an inverse
cube and the monopole field decays as an inverse square law). However, to observe
such behavior, the observation point must be fairly close to the dipole source, or
the contributions from the magnetic moments to the observed signal will come disproportionately
from the portion of the collar above the point of intersection of the dipole axis
with the casing. Hence, it is more reasonable to expect an inverse sixth power dependence
for the observed field amplitude.
[0029] Next consider the induced field when the dipole is orthogonal to the plane containing
the wellbore being drilled and the casing being monitored. In this case, the field
lines are orthogonal to the casing, and there is no net dipole moment along the axis
of the casing and hence no signal will be observed.
[0030] Now consider a third case illustrated in Figs. 4A-4B where the borehole being drilled
is vertical and the casing being monitored is on a linear path in a plane with the
path of the wellbore being drilled, but not parallel to that path. Further assume
that the moment of the magnetic dipole 402 is not orthogonal to the drillstring axis.
In Fig. 4A, the moment of the dipole 402 is in the plane of the wellbore being drilled
and the casing being monitored. The projection of the magnetic field lines 404 along
the axis of the casing 19, produce a large magnetic moment 406 for observation by
magnetometer 408. In Fig. 4B, the drillstring has rotated 180°, producing magnetic
field lines 404 that are less uniform along the casing so as to produce a much weaker
magnetic moment 406. By inspection it can be determined that the signal received at
the observation point will not be symmetrical with the rotation of the drillstring.
This would not have been the case if the dipole had been orthogonal to the drillstring
axis. Hence, by setting the dipole at an angle that is not orthogonal to the drillstring
axis, information has been gained about the orientation of the casing relative to
the borehole. The same observation holds even if the casing extends along an arbitrary
path non-coplanar with the casing.
[0031] It is possible to employ a source having multiple magnets to form a more complex
magnetic field. The source may include a magnetic dipole tilted as illustrated in
Figs. 4A-4B and may further include a substantially co-located magnetic dipole that
is orthogonal to the drillstring axis (e.g., extending towards the reader out of the
plane of Fig. 4A). The field from such a multipole source is the superposition of
the fields from the individual dipoles. In this example, each dipole will make a contribution
to the observed signal, which, for a constant rotation of the drillstring, will be
composed of two sinusoids 90° out of phase with each other. Some alternative embodiments
employ multipole sources constructed from dipoles such that (e.g.) all of the north
poles face outward from the drillstring and all of the south poles face inward. In
this case, the observed frequency would be the number of poles times the rotational
frequency.
[0032] In what follows, an example is given of the predicted axial and cross-axial field
strengths at the observation point as a function of distance of the observation point
from the dipole source and of distance between the borehole being drilled and the
casing being monitored for the case that the two are parallel, the dipole is orthogonal
to the axis of the wellbore being drilled, and the dipole magnetic field at distances
large compared to the length of the dipole is given by:

where B is the magnitude of the magnetic field in nanoteslas (nT) and r is the distance
from the dipole in meters (m). This is a fairly strong, but achievable field. It is
further assumed that the casing has an outer radius of 6.75 inches, an inner radius
of 6.125 inches and a relative magnetic permeability of 500. Strictly speaking, magnetic
permeability is not a concept that applies to ferrous materials, but it is a reasonable
approximation.
[0033] Figs. 5A and 5B show the expected cross-axial field in nT as a function of distance
of the observation point from the source in feet (Zo) and as a function of distance
between the casing and the well being drilled (Xo). Fig. 5A shows a 3D plot, whereas
Fig. 5B shows a contour plot. Figs. 6A and 6B similarly show the expected axial magnetic
field component in nT as a function of distance of the observation point from the
source in feet (Zo) and as a function of distance between the casing and the borehole
being drilled (Xo).
[0034] As expected, the field falls off very rapidly with distance from the source. A typical
magnetometer used in borehole surveying can measure magnetic fields with a calibrated
accuracy of 70 nT (see, e.g., Williamson, SPE 56702) and a resolution of about 2 nT.
If the signal is detected with a lock-in amplifier, signals 60 dB or more beneath
the noise can be recovered. (A lock-in amplifier is also known as a phase-sensitive
detector. For the purposes of this disclosure, it will serve as an example of a phase-locked
loop. A lock-in amplifier can be implemented either as an analog or a digital device.)
With the observation point 30 feet from the source, and using a lock-in amplifier
with a 60 dB gain, the observed signal of 0.7 nT will appear as a 700 nT signal. Even
if the lock-in only achieves 20 dB of noise rejection, the observed signal will be
7 nT, which is a strong enough signal for further processing.
[0035] Note that in this example, the peak response occurs when the observation point (which
is situated along the drillstring axis) is at about half the distance between the
well being drilled and the casing being monitored. This appears to be a good rule
of thumb. The design can be optimized by selecting the strongest practically achievable
source and source configuration, determining the maximum signal to noise ratio within
the specified acquisition time, and setting the observation point at a location for
maximum sensitivity at the maximum desired (and practically achievable) range to the
casing to be monitored. However, a better practice may be to operate with an array
of sensors at selected observation points along the drillstring.
[0036] Earlier in this discussion, it was noted that absolute sensor accuracy is not required
in this application, i.e. it is not necessary to precisely calibrate the magnetometers
to a precise reading of the magnetic field. However, the sensitivities of the magnetometers
should be matched as closely as is possible so as to achieve the maximum cancellation
of the earth's field component of the observed signals. Typically, the gain of such
sensors is a function of the ambient temperature and can be calibrated using well
known procedures, but the extreme rigor required of survey tools in determining biases
and misalignments need not be taken. The gains can be calibrated with all of the magnetometers
assembled on the casing ranging tool in a uniform and known magnetic field and over
a range of ambient temperatures.
[0037] Once the signals are acquired, they should be interpreted so as to determine the
range to the casing and the approach angle relative to the casing. To make this interpretation,
we first create a general response model using the technique illustrated in the appendix.
As represented in Fig. 7, the general steps of this technique 700 begin in block 702
with a specification of the nature of the source (i.e., whether the source is a dipole,
a crossed dipole or some other specific multipole configuration), the geometry of
the source (i.e., the orientation of the poles relative to the drillstring axis and
how they rotate), the magnitude of the source, and the position of the source relative
to the observation points. In block 704, the technique also provides a (possibly tentative)
casing trajectory. In at least some embodiments the casing trajectory is specified
as a one parameter curve in three-dimensional space, the parameter being distance
along the casing from a given point, e.g., the well head or a point of intersection
between the borehole trajectory and the casing trajectory. The curve can be specified
in an arbitrary fashion, including other parameters, but the single-parameter formulation
is used to simplify the integral.
[0038] In block 706 the system models the magnetic field emanating from the source. This
can certainly be done numerically, but in many instances this can be done with a closed
form analytical expression. In block 708, the system determines for each position
along the length of the casing trajectory the component of the source's magnetic field
that lies parallel to the casing axis. That component induces a magnetic moment that
produces a field at the observation point(s). In block 710, the system integrates
the fields from the magnetic moments distributed along the length of the casing to
obtain the total induced field at the observation point(s).
[0039] After the general response model has been worked out, the procedure illustrated in
Fig. 8 is carried out. Procedure 800 begins in block 802 with an estimation of the
well casing trajectory. As this estimate will be adapted, it can be based on logging
measurements from the well, or it can be an arbitrary starting point (e.g., a vertical
well at some distance from the borehole). Drilling commences in block 804, creating
a borehole that enters into the proximity of the existing well casing. What constitutes
"proximity" may vary based on the capabilities of the system, but it is expected to
include a range of at least 10 meters.
[0040] During the drilling process, procedure 800 tracks the path of the drillstring (and
hence the borehole) in block 806. As the drillstring rotates and progresses, the magnetic
source induces a magnetic moment in the casing of the existing well in block 808.
In block 810, the magnetometers at the observation point(s) measure the field from
the induced magnetic moment. In block 812, the procedure employs the technique 700
(Fig. 7) to determine the expected measurements of the magnetic moment field. The
expected measurements may include not only the measurements made by the magnetometers
in their current positions and orientations, but also the expected measurements at
previous positions and orientations of the magnetometers.
[0041] In block 814, the procedure 800 compares the actual measurements to the expected
measurements. If a mismatch is detected, the estimated well trajectory is adjusted
in block 816 and blocks 812-814 are repeated until a satisfactory match is obtained.
Many suitable optimization techniques exist and can be used to determine a relative
well casing distance and direction that best fits the field measurements. One illustrative
technique is a binary search that, starting with modeled measurements for at least
three different distances at four different directions (e.g., 0, 90°, 180°, and 270°
from the currently estimated casing direction), systematically searches for an optimum
distance and direction. In at least some embodiments, the binary search will be used
to optimize the mean square error between the observed signals and the modeled signals.
The search is continued until a specified accuracy is attained, or a fixed number
of iterations have been carried out. In the former case, the routine then reports
the distance from the drill bit to the casing and the relative orientation between
the drillstring trajectory and the casing trajectory. In the latter case, this same
information is provided along with an error statement.
[0042] In block 818, the relative distance and direction may optionally be employed as the
drilling progresses to achieve and maintain a desired direction and distance between
the borehole and the existing casing. In some cases, the borehole may be drilled to
intersect the casing or directed to avoid the casing. In block 820, the procedure
determines whether drilling is complete and if not, procedure repeats blocks 806-820
until drilling ceases.
[0043] Procedure 800 can be implemented in an application specific integrated circuit or
in software on a programmable processor. Although the specific implementation of this
procedure may be tedious, such procedures are well known in the art and can be readily
derived from the equations in the appendix. Since the response model has been reduced
to a one-dimensional integral, and since the form of that integral (due to the nature
of the fields) is rapidly converging, the procedure can be carried out quickly in
a downhole processor or, if the signals are telemetered to the earth's surface, analysis
can be carried out using a computer at the earth's surface. Using uncompiled code
and a 2.17 GHz Intel® Core™2 Duo CPI T7500, it took about .5 ms to calculate a single
point in the model described in the appendix.
[0044] Depending on the types of magnets used in the source, it may be necessary to compensate
for the drift with time and/or temperature of these magnets. This can be handled in
part by periodic calibration of the magnet, but also by introducing the field properties
(e.g. dipole moment and orientation) as additional variables in the iterative solution.
[0045] Various alternative embodiments exist for exploiting the disclosed techniques. To
lock in on the magnetic signal induced in the remote well casing, a reference signal
is desirable to indicate the rotation of the magnet mounted on the drillstring. This
reference signal can be derived using a distant magnetometer, or other rotation tracking
methods can be employed (e.g., gyroscopes, accelerometers to track the gravity vector,
optical or acoustic sensors tracking borehole wall variation, etc.). The permanent
magnet can be replaced with an electromagnet, enabling optional modulation of the
magnetic field. Such modulation could alternatively be provided with a mechanical
shield of magnetically permeable material that moves to alternately shunt and release
magnetic field lines from the ranging tool. (One suitable example of such a shield
mechanism is disclosed in
U.S. Pat. 7,219,748, "Downhole Signal Source" by Li Gao and Paul Rodney.) With modulation of this form,
multiple magnetic sources can be mounted to the drillstring and modulated at different
frequencies, thereby providing multiple induced magnetic moments. The magnetic field
sensors detect the combined signal, which is then electronically processed to separate
out multiple ranging measurements based on the modulating frequencies. Of course,
such frequency variation can also be provided by giving each of the magnetic sources
a different number of poles (bipole, quadrupole, hexapole, etc), or by spinning the
different magnetic sources at different rates. In one example, one magnetic source
can be mounted at the bit, while another magnetic source is mounted above the mud
motor, and hence rotated at a slower speed. Alternatively, each magnet can be mounted
on a dedicated motor that spins the magnet at a unique or variable speed.
[0046] Electromagnets or magnetic shields can alternatively be employed to implement time
division multiplexing, where only one of multiple magnetic field sources is active
(uncovered) at a time.
[0047] It is expected that the system range and performance can be extended with the use
of multiple receiver stations and/or multiple transmit stations. In many situations,
it may not be necessary to perform explicit distance and direction calculations. For
example, the measure magnetic field values may be converted to pixel colors or intensities
and displayed as a function of borehole azimuth and distance along the borehole axis.
Assuming the reference borehole is within detection range, the reference borehole
will appear as a bright (or, if preferred, a dark) band in the image. The color or
brightness of the band indicates the distance to the reference borehole, and the position
of the band indicates the direction to the reference borehole. Thus, by viewing such
an image, a driller can determine in a very intuitive manner whether the new borehole
is drifting from the desired course and he or she can quickly initiate corrective
action. For example, if the band becomes dimmer, the driller can steer towards the
reference borehole. Conversely, if the band increases in brightness, the driller can
steer away from the reference borehole. If the band deviates from its desired position
directly above or below the existing borehole, the driller can steer laterally to
re-establish the desired directional relationship between the boreholes.
[0048] Our disclosed approach is expected to provide a commercial and competitive advantage
in that it provides a means of ranging with confidence near casings that have not
been pre-polarized.
[0049] Numerous variations and modifications will become apparent to those skilled in the
art once the above disclosure is fully appreciated.
Appendix
[0050] Derivation of the magnetic field at an observation point on a drillstring from the
scattering off of casing of the magnetic field of a dipole source rotating on the
drillstring. In a set of cyllindrical coordinates with polar angle
θ referenced to the direction of the dipole moment, the magnetic field a point dipole
is given by:

where
r is the distance from the center of the dipole to the observation point
θ is the angle between a vector from the center of the dipole to the observation point
and the magnetic moment

φ is the azimuthal angle. By symmetry, Bφ vanishes and hence, Bφ will not be considered further in this analysis.
µ is the magnetic permeability of the medium (assumed infinite and homogeneous) in
which the dipole is observed.
[0051] This latter assumption will be violated by the very nature of the problem we are
trying to solve, but I will work in the approximation that it is valid.
[0052] Now suppose that the magnet is in a vertical well with the axis of the moment orthogonal
to the well axis, i.e. with the magnetic moment in the horizontal plane. Suppose further
that a string of casing is located in space along a straight line.
[0053] The center dipole source will be defined as the origin of the coordinate system.
The point defining the center of the dipole and the path of the center line of the
casing define a unique plane.
[0054] Let the line defining the center of the casing be given by

[0055] The equation defining a plane is

[0058] Now calculate the the magnetic field along the centerline of the casing. First, the
magnetic field of the source must be expressed in the x, y, z coordinate system defined
by these equations.
[0059] It is assumed that the dipole moment is orthogonal to the drill pipe (assumed vertical
for simplicity - for a commercial algorithm, this will need to be modified, but for
a scoping analysis, no generality is lost with this assumption). It is further assumed
that the moment of the dipole makes an angle Ψ with rexpect to the x-axis.
[0060] The polar angle
θ must be calculated in terms of Ψ and the point at which the field interacts with
the casing. Taking a unit vector along the dipole moment and resolving it along the
x- and y-axes, and then taking the inner product between the interaction vector (x,y,z)
and the unit vector,

[0065] This is remarkably simple.
[0066] The next step is to project the B-field along the casing and calculate the moment
induced along the z-axis of the casing. In a more sophisticated analysis, the moment
induced orthogonal to the casing should also be taken into account, but this is expected
to have only a minor effect on the analysis, which could/should be taken into account
when the source is very close to the casing. I will need to work out the criteria
for this.
[0067] The component of the field along the casing is calculated by expressing x, y and
z in terms of the parameter t, the distance along the casing and projecting the field
along the casing. The unit vector along the casing is given by

[0068] Normally, one works in unts

so that
ξ,
υ and
ζ are direction cosines.
[0069] Then the field induced along the casing is given by

[0070] That is, I have taken the ambient field tangential to the casing axis and multiplied
it by the relative permeability of the casing.
[0072] Where
µr is the relative permeability of the casing.
[0073] From this, it is possible to calculate the magnetic field at the observation point.
In this problem, it is possible to define a vector potential

where the integral is carried out over the volume of the casing. The field from this
potential, which is the field we want to observe is given by

[0074] Where the gradient is on the observation coordinates (as defined in this problem,
(x', y', z')) and a is the effective radius of the casing.

where ro is the outer radius of the casing and ri is the inner radius of the casing.

[0075] Consider

[0076] The primed gradient can be commuted through the integral and does not operate on
Bc.

[0078] Suppose the casing is vertical such that x(t) = x0; (* a fixed value *)
ξ = 0;
ρ = x0;
[0079] y(t) = 0;
υ = 0;
σ = 0;
Examining the behavior of these
BOy should vanish given the geometry of the problem.
BOx
[0081] The dependence of the integrand for large magnitude of z is approximately 1/z
8
[0082] It seemed surprising at first that when z'=0, BOx ≠ 0. However, in this case, the
z-projection of the field on the casing
looks a bit like a 1-dimensional magnetic monopole. Hence, this is to be expected.
BOz
[0083] The z-dependence of the integrand for large magnitude of z is approximately 1/
z7
[0084] How this will play out when the integrals are actually evaluated remains to be seen.
The induced moment should go as the cube of the distance from the source. When this
is induced as a net dipole moment, it will set up another dipole field that should
fall off as an inverse cube. However, there are orientations when the dipole source
magnet is directly facing the casing, at the same depth as the source magnet, the
induced field looks more like a
monopole field.
CALCULATIONS
[0085] Setting

1. A ranging while drilling system that comprises:
a drillstring (8) having:
a rotating magnetic source (202,402) that induces a time-varying magnetic moment (206,406)
along an existing casing string (19) remote from the drill string, the rotating magnetic
source (202,402) including at least one dipole with a non-orthogonal tilt relative
to a longitudinal axis of the drillstring (8);
an array of axially spaced three-axis magnetometers (208,209,408) that detect a magnetic
field (204,404) from the induced magnetic moment (206,406); and
a sensor that provides a signal indicative of a rotational orientation of the rotating
magnetic source (202,402); and
a processor that determines a relative distance and direction of the casing string
(19) from measurements by the sensor and the array of axially spaced three-axis magnetometers
(208,209,408).
2. The system of claim 1, wherein the sensor is in a set consisting of gyroscopes, accelerometers,
and optical and acoustic borehole wall variation sensors.
3. The system of claim 1, further comprising a steering mechanism that is guided at least
in part based on said distance and direction.
4. The system of claim 1, wherein the rotating magnetic source (202,402) comprises a
permanent magnet.
5. The system of claim 4, wherein the rotating magnetic source (202,402) has shielding
that modulates an emanated field.
6. The system of claim 1, wherein the rotating magnetic source (202,402) is an electromagnet
or includes multiple dipoles.
7. The system of any of claims 2 to 6, wherein at least one phase-locked loop (306) is
used to enhance the signal-to-noise-ratio of a magnetic signal scattered off of the
casing (19) from the magnetic field (204,404).
8. A ranging while drilling method that comprises:
employing a rotating magnet (204,404) to induce a changing time-varying magnetic moment
(206,406) along an existing casing string (19) remote from the drill string, wherein
the rotating magnet (202,402) includes at least one dipole with a non-orthogonal tilt
relative to a longitudinal axis of a drillstring (8);
measuring, by using an array of axially spaced three-axis magnetometers, a magnetic
field (204,404) from the changing magnetic moment (206,406) along a path of the drillstring
to a current position of the drillstring;
sensing by a sensor on the drill string a rotational orientation of the rotating magnet
(204,404); and
based at least in part upon said magnetic field (204,404) measurements and measurements
by the sensor, estimating a distance and direction to the casing string (19) from
the current position of the drillstring.
9. The method of claim 8, wherein said estimating includes filtering the magnetic field
(204,404) measurements based on said rotational orientation to isolate magnetic field
contributions from the changing magnetic moment (206,406).
10. The method of any of claims 8 or 9, wherein said estimating includes enhancing the
signal-to-noise-ratio of a magnetic signal scattered off of the casing (19) from the
magnetic field (204,404) by using at least one phase-locked loop (306).
11. The method of any of claims 8, 9 or 10, wherein said estimating includes modeling
of the magnetic field (204,404) emanating from the rotating magnet (204,404), determining
for each position along the length of the casing the component of the magnetic field
(204,404) that lies parallel to the casing (19) axis, integrating the magnetic fields
(204,404) along the casing (19) to obtain the estimated induced magnetic field (204,404)
at at least one observation point and comparing the magnetic field (204,404) measurements
to the estimated induced magnetic field (204,404).
12. The method of claim 8, further comprising steering the drillstring based at least
in part on said distance and direction.
1. System zur Ortung beim Bohren, das Folgendes umfasst:
einen Bohrstrang (8), der Folgendes aufweist:
eine rotierende Magnetquelle (202, 402), die ein zeitveränderliches magnetisches Moment
(206, 406) entlang eines bestehenden Futterrohrstrangs (19), der vom Bohrstrang entfernt
ist, induziert, wobei die rotierende Magnetquelle (202, 402) mindestens einen Dipol
mit einer nicht rechtwinkligen Neigung in Bezug auf eine Längsachse des Bohrstrangs
(8) umfasst;
eine Gruppe von axial beabstandeten Drei-Achsen-Magnetometern (208, 209, 408), die
ein magnetisches Feld (204, 404) aus dem induzierten magnetischen Moment (206, 406)
erkennen;
und
einen Sensor, der ein Signal liefert, das eine Rotationsorientierung der rotierenden
Magnetquelle (202, 402) angibt; und
einen Prozessor, der einen relativen Abstand und eine relative Richtung des Futterrohrstrangs
(19) aus Messungen durch den Sensor und die Gruppe axial beabstandeter Drei-Achsen-Magnetometer
(208, 209, 408) ermittelt.
2. System nach Anspruch 1, wobei der Sensor in einem Satz vorliegt, der aus Gyroskopen,
Beschleunigungsmessern und optischen und akustischen Sensoren für Bohrlochwandveränderungen
besteht.
3. System nach Anspruch 1, weiter umfassend einen Steuermechanismus, der zumindest teilweise
basierend auf dem Abstand und der Richtung gelenkt wird.
4. System nach Anspruch 1, wobei die rotierende Magnetquelle (202, 402) einen Dauermagneten
umfasst.
5. System nach Anspruch 4, wobei die rotierende Magnetquelle (202, 402) eine Abschirmung
aufweist, die ein ausgesendetes Feld moduliert.
6. System nach Anspruch 1, wobei die rotierende Magnetquelle (202, 402) ein Elektromagnet
ist oder mehrere Dipole umfasst.
7. System nach einem der Ansprüche 2 bis 6, wobei mindestens ein Phasenregelkreis (306)
verwendet wird, um das Signal-RauschVerhältnis eines magnetischen Signals zu verbessern,
das vom Futterrohr (19) aus dem Magnetfeld (204, 404) verstreut wird.
8. Verfahren zur Ortung beim Bohren, das Folgendes umfasst:
Verwenden eines rotierenden Magneten (204, 404), um ein veränderliches zeitabhängiges
magnetisches Moment (206, 406) entlang eines bestehenden Futterrohrstrangs (19), der
vom Bohrstrang entfernt ist, zu induzieren, wobei der rotierende Magnet (202, 402)
mindestens einen Dipol mit einer nicht rechtwinkligen Neigung in Bezug auf eine Längsachse
eines Bohrstrangs (8) umfasst;
Messen mit Hilfe einer Gruppe von axial beabstandeten Drei-Achsen-Magnetometern eines
Magnetfeldes (204, 404) von dem veränderlichen magnetischen Moment (206, 406) entlang
eines Wegs des Bohrstrangs zu einer aktuellen Position des Bohrstrangs;
Erfassen durch einen Sensor am Bohrstrang einer Rotationsorientierung des rotierenden
Magneten (204, 404); und Schätzen zumindest teilweise auf der Basis der Messungen
des Magnetfelds (204,404) und der Messungen durch den Sensor eines Abstands und einer
Richtung zum Futterrohrstrang (19) von der aktuellen Position des Bohrstrangs.
9. Verfahren nach Anspruch 8, wobei das Schätzen das Filtern der Messungen des Magnetfelds
(204, 404) basierend auf der Rotationsorientierung, um die Magnetfeldbeiträge von
dem veränderlichen magnetischen Moment (206, 406) zu isolieren, umfasst.
10. Verfahren nach einem der Ansprüche 8 oder 9, wobei das Schätzen das Verbessern des
Signal-Rausch-Verhältnisses eines magnetischen Signals, das vom Futterrohr (19) aus
dem magnetischen Feld (204, 404) verstreut wird, durch Verwenden mindestens eines
Phasenregelkreises (306) umfasst.
11. Verfahren nach einem der Ansprüche 8, 9 oder 10, wobei das Schätzen das Modellieren
des Magnetfelds (204, 404), das von dem rotierenden Magneten (204, 404) ausgeht, das
Ermitteln für jede Position entlang der Länge des Futterrohrs der Komponente des Magnetfelds
(204, 404), die parallel zur Achse des Futterrohrs (19) liegt, das Integrieren der
Magnetfelder (204, 404) entlang des Futterrohrs (19), um das geschätzte induzierte
Magnetfeld (204, 404) an mindestens einem Beobachtungspunkt zu erhalten, und das Vergleichen
der Messungen des Magnetfelds (204, 404) mit dem geschätzten induzierten Magnetfeld
(204, 404) umfasst.
12. Verfahren nach Anspruch 8, weiter umfassend das Steuern des Bohrstrangs basierend
zumindest zum Teil auf dem Abstand und der Richtung.
1. Système d'évaluation de distance pendant le forage qui comprend :
un train de tiges de forage (8) ayant :
une source magnétique rotative (202, 402) qui induit un moment magnétique variant
dans le temps (206, 406) le long d'une colonne de tubage existante (19) distante du
train de tiges de forage, la source magnétique rotative (202, 402) incluant au moins
un dipôle avec une inclinaison non orthogonale par rapport à un axe longitudinal du
train de tiges de forage (8) ;
un réseau de magnétomètres à trois axes axialement espacés (208, 209, 408) qui détectent
un champ magnétique (204, 404) à partir du moment magnétique induit (206, 406) ; et
un capteur qui fournit un signal indiquant une orientation rotationnelle de la source
magnétique rotative (202, 402) ; et
un processeur qui détermine une distance relative et une direction de la colonne de
tubage (19) à partir de mesures effectuées par le capteur et le réseau de magnétomètres
à trois axes axialement espacés (208, 209, 408).
2. Système selon la revendication 1, dans lequel le capteur est dans un ensemble constitué
de gyroscopes, d'accéléromètres et de capteurs de variation de paroi de trou de forage
optique et acoustique.
3. Système selon la revendication 1, comprenant en outre un mécanisme de direction qui
est guidé au moins en partie sur la base de ladite distance et de ladite direction.
4. Système selon la revendication 1, dans lequel la source magnétique rotative (202,
402) comprend un aimant permanent.
5. Système selon la revendication 4, dans lequel la source magnétique rotative (202,
402) a un blindage qui module un champ émanant.
6. Système selon la revendication 1, dans lequel la source magnétique rotative (202,
402) est un électroaimant ou inclut de multiples dipôles.
7. Système selon l'une quelconque des revendications 2 à 6, dans lequel au moins une
boucle à phase verrouillée (306) est utilisée pour améliorer le rapport signal sur
bruit d'un signal magnétique diffusé à partir du tubage (19) à partir du champ magnétique
(204, 404).
8. Procédé d'évaluation pendant le forage qui comprend :
l'utilisation d'un aimant rotatif (204, 404) pour induire un moment magnétique variant
dans le temps (206, 406) variable le long d'une colonne de tubage existante (19) distante
du train de tiges de forage, dans lequel l'aimant rotatif (202, 402) inclut au moins
un dipôle avec une inclinaison non orthogonale par rapport à un axe longitudinal d'un
train de tiges de forage (8) ;
la mesure, en utilisant un réseau de magnétomètres à trois axes axialement espacés,
d'un champ magnétique (204, 404) à partir du moment magnétique variable (206, 406)
le long d'un trajet du train de tiges de forage vers une position actuelle du train
de tiges de forage ;
la détection, par un capteur sur le train de tiges de forage, d'une orientation rotationnelle
de l'aimant rotatif (204, 404) ; et
sur la base au moins en partie de mesures dudit champ magnétique (204, 404) et de
mesures effectuées par le capteur, l'estimation d'une distance et d'une direction
vers la colonne de tubage (19) à partir de la position actuelle du train de tiges
de forage.
9. Procédé selon la revendication 8, dans lequel ladite estimation inclut le filtrage
de mesures du champ magnétique (204, 404) sur la base de ladite orientation rotationnelle
pour isoler des contributions de champ magnétique à partir du moment magnétique variable
(206, 406).
10. Procédé selon l'une quelconque des revendications 8 ou 9, dans lequel ladite estimation
inclut l'amélioration du rapport signal sur bruit d'un signal magnétique diffusé à
partir du tubage (19) à partir du champ magnétique (204, 404) en utilisant au moins
une boucle à phase verrouillée (306).
11. Procédé selon l'une quelconque des revendications 8, 9 ou 10, dans lequel ladite estimation
inclut la modélisation du champ magnétique (204, 404) émanant de l'aimant rotatif
(204, 404), la détermination, pour chaque position le long de la longueur du tubage,
du composant du champ magnétique (204, 404) qui est parallèle à l'axe du tubage (19),
l'intégration des champs magnétiques (204, 404) le long du tubage (19) pour obtenir
le champ magnétique induit estimé (204, 404) au niveau d'au moins un point d'observation,
et la comparaison de mesures du champ magnétique (204, 404) avec le champ magnétique
induit estimé (204, 404).
12. Procédé selon la revendication 8, comprenant en outre la direction du train de tiges
de forage sur la base au moins en partie de ladite distance et de ladite direction.