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| United States Patent Application |
20030071626
|
| Kind Code
|
A1
|
|
Omeragic, Dzevat
;   et al.
|
April 17, 2003
|
METHOD AND SYSTEM FOR DETERMINING FORMATION ANISOTROPIC RESISTIVITY WITH
REDUCED BOREHOLE EFFECTS FROM TILTED OR TRANSVERSE MAGNETIC DIPOLES
Abstract
Systems and methods are provided for determining subsurface formation
properties using an antenna system disposed within a borehole traversing
the formation. A logging system includes a well tool implemented with an
antenna system having transverse or tilted magnetic dipoles. One antenna
implementation uses a set of three coils having non-parallel axes.
Through mechanical or electromagnetic rotation of an antenna about its
axis in order to maximize or minimize couplings, the systems and methods
are used to estimate formation anisotropic resistivity, providing reduced
borehole effects in vertical and small deviation wells. This invention
may also be applied in deviated wells when the borehole is perpendicular
to the strike direction, as is often the case in wireline logging.
| Inventors: |
Omeragic, Dzevat; (Sugar Land, TX)
; Minerbo, Gerald N.; (Missouri City, TX)
|
| Correspondence Address:
|
SCHLUMBERGER OILFIELD SERVICES
200 GILLINGHAM LANE
MD 200-9
SUGAR LAND
TX
77478
US
|
| Serial No.:
|
975411 |
| Series Code:
|
09
|
| Filed:
|
October 11, 2001 |
| Current U.S. Class: |
324/338 |
| Class at Publication: |
324/338 |
| International Class: |
G01V 003/08 |
Claims
1. A method for determining a property of a subsurface formation using an
antenna system disposed within a borehole traversing said formation,
comprising: a) determining when a magnetic dipole moment of a transmitter
antenna of said system is oriented substantially perpendicular with
respect to the wall of the borehole; b) determining the coupling between
a receiver antenna of said system and said transmitter antenna when said
dipole moment is in said substantially perpendicular orientation; and c)
using the coupling between said antennas to determine the formation
property.
2. The method of claim 1, wherein said formation property is resistivity.
3. The method of claim 1, wherein said method is performed during or after
the drilling of said borehole.
4. The method of claim 1, wherein step (a) includes directing said dipole
moment to said substantially perpendicular orientation.
5. The method of claim 1, wherein step (a) includes determining a maximum
coupling between said transmitter antenna and said receiver antenna.
6. The method of claim 1, wherein step (a) includes determining a minimum
coupling between said transmitter antenna and said receiver antenna.
7. The method of claim 1, wherein step (a) includes determining the
orientation of a magnetic dipole moment of said receiver antenna.
8. The method of claim 1, wherein step (a) includes rotating said
transmitter antenna within said borehole.
9. The method of claim 1, wherein step (a) includes rotating a receiver
antenna of said system within said borehole.
10. The method of claim 1, wherein said transmitter antenna and/or said
receiver antenna comprises a tri-axial set of coils.
11. The method of claim 1, wherein said transmitter antenna and said
receiver antenna each comprise a plurality of coils having non-parallel
axes.
12. The method of claim 11, wherein step (b) includes determining the
coupling between a coil of said transmitter antenna and a coil of said
receiver antenna, said coils having the same dipole moment orientations.
13. The method of claim 11, wherein step (a) includes determining the
coupling between a coil of a receiver antenna of said system and a coil
of said transmitter antenna, said coils having their axes directed
substantially perpendicular to the borehole axis.
14. The method of claim 13, wherein the axes of said coils are mutually
orthogonal.
15. The method of claim 11, wherein step (a) includes determining the
coupling between a coil of a receiver antenna of said system, said coil
having its axis directed substantially perpendicular to the borehole
axis, and a coil of said transmitter antenna having it axis directed
substantially parallel to the borehole axis.
16. The method of claim 11, wherein step (b) includes determining said
coupling when at least two coils of said transmitter antenna are
simultaneously excited.
17. The method of claim 11, wherein step (a) includes selectively exciting
at least two coils of said transmitter antenna and determining the
coupling between said transmitter antenna and a receiver antenna of said
system.
18. The method of claim 17, wherein said coupling is determined at a coil
of said receiver antenna having its axis directed substantially parallel
to the axis of said borehole.
19. The method of claim 17, wherein the at least two transmitter coils are
excited with alternating currents having different amplitudes.
20. A method for determining a property of a subsurface formation from
signal data obtained with a transmitter antenna and a receiver antenna
disposed within a borehole traversing said formation, comprising: a)
determining the orientation of a magnetic dipole moment of said
transmitter antenna using said signal data; b) determining the coupling
between said transmitter antenna and said receiver antenna with said
dipole moment oriented substantially perpendicular with respect to the
wall of the borehole; and c) using the coupling between said antennas to
determine the formation property.
21. The method of claim 20, wherein said formation property is
resistivity.
22. The method of claim 20, wherein said method is performed during or
after the drilling of said borehole.
23. The method of claim 20, wherein said transmitter antenna and said
receiver antenna each comprise a plurality of coils having non-parallel
axes.
24. The method of claim 23, wherein step (a) includes determining a
maximum coupling between a coil of said transmitter antenna and a coil of
said receiver antenna.
25. The method of claim 23, wherein step (a) includes determining a
minimum coupling between a coil of said transmitter antenna and a coil of
said receiver antenna.
26. The method of claim 23, wherein step (a) includes exciting at least
two coils of said transmitter antenna with alternating currents having
different amplitudes.
27. A well logging system including a well tool adapted for deployment
through a borehole traversing an earth formation and an apparatus adapted
for coupling to said well tool, the well tool including a transmitter
antenna and a receiver antenna disposed thereon, the apparatus
comprising: means for determining when a magnetic dipole moment of said
transmitter antenna is oriented substantially perpendicular with respect
to the wall of said borehole; means for determining the coupling between
said transmitter antenna and said receiver antenna with said dipole
moment in said substantially perpendicular orientation; and means for
determining a property of said formation using the coupling between said
antennas.
28. The system of claim 27, wherein said formation property is
resistivity.
29. The system of claim 27, further comprising means for rotating said
dipole moment of said transmitter or receiver antenna.
30. The system of claim 27, wherein said transmitter antenna and said
receiver antenna each comprise a plurality of coils having non-parallel
axes.
31. The system of claim 30, wherein said means for determining when said
magnetic moment is in said substantially perpendicular orientation
includes means for determining a maximum coupling between a coil of said
transmitter antenna and a coil of said receiver antenna.
32. The system of claim 30, wherein said means for determining when said
magnetic moment is in said substantially perpendicular orientation
includes means for determining a minimum coupling between a coil of said
transmitter antenna and a coil of said receiver antenna.
33. The system of claim 30, wherein said means for determining when said
magnetic moment is in said substantially perpendicular orientation
includes means for determining the coupling between a coil of said
receiver antenna having its axis substantially perpendicular to the
borehole axis, and a coil of said transmitter antenna having it axis
directed substantially parallel to said borehole axis.
34. The system of claim 30, wherein said means for determining when said
magnetic moment is in said substantially perpendicular orientation
includes means for determining the coupling between a coil of said
transmitter antenna and a coil of said receiver antenna, both coils
having their axes directed substantially perpendicular to the axis of
said borehole.
35. The system of claim 30, wherein said means for determining when said
magnetic moment is in said substantially perpendicular orientation
includes means for selectively exciting at least two coils of said
transmitter antenna.
36. The system of claim 35, wherein said means for determining when said
magnetic moment is in said substantially perpendicular orientation
includes means for determining the coupling between said excited
transmitter coils and a coil of said receiver antenna.
37. The system of claim 35, wherein said at least two coils of said
transmitter antenna are excited with alternating currents having
different amplitudes.
Description
BACKGROUND OF THE INVENTION
[0001] 1. Field of the Invention
[0002] This invention relates generally to the field of well logging. More
particularly, the invention concerns improved methods and systems in
which an antenna system having transverse or tilted magnetic dipoles is
used to estimate formation anisotropic resistivity, providing reduced
borehole effects in vertical and small deviation wells. This invention is
applicable to induction or propagation type measurements, i.e., at low
and high frequencies.
[0003] 2. Description of Related Art
[0004] Induction and propagation logging techniques have been employed in
exploration operations for many years to measure the electrical
conductivity (or its inverse, resistivity) of subsurface formations.
These techniques entail deployment of antenna systems into a borehole to
emit electromagnetic (EM) energy through the borehole fluid (also
referred to herein as mud) and into the subsurface formations.
Conventional antennas are formed from coils of the cylindrical solenoid
type comprised of one or more turns of insulated conductor wire wound
around a support. These antennas are typically operable as sources and/or
sensors.
[0005] In operation, a transmitter antenna is energized by an alternating
current to emit EM energy. The emitted energy interacts with the mud and
the formation, producing signals that are detected and measured by one or
more of the antennas. The detected signals are usually expressed as a
complex number (phasor voltage) and reflect the interaction with the mud
and the formation. By processing the detected signal data, a profile of
the formation and/or borehole properties is determined.
[0006] A coil carrying a current can be represented as a magnetic dipole
having a magnetic moment proportional to the current and the area
encompassed by the coil. The direction and strength of the magnetic
dipole moment can be represented by a vector perpendicular to the area
encompassed by the coil. In conventional induction and propagation
logging systems, the antennas are typically mounted on a support with
their axes along the longitudinal axis of the support. Thus, these
instruments are implemented with antennas having longitudinal magnetic
dipoles (LMD). When such an antenna is placed in a borehole and energized
to transmit EM energy, currents flow around the antenna in the borehole
and in the surrounding formation. There is no net current flow up or down
the borehole.
[0007] An emerging technique in the field of well logging is the use of
instruments incorporating antennas having tilted or transverse coils,
i.e., where the coil's axis is not parallel to the support axis. These
instruments are thus implemented with antennas having a transverse or
tilted magnetic dipole (TMD). One particular implementation uses a set of
three coils having non-parallel axes (referred to herein as tri-axial).
The aim of these TMD configurations is to provide EM measurements with
directional sensitivity to the formation properties. Logging instruments
equipped with TMDs are described in U.S. Pat. Nos. 6,163,155, 6,147,496,
5,757,191, 5,115,198, 4,319,191, 5,508,616, 5,757,191, 5,781,436,
6,044,325, 4,264,862 and 6,147,496.
[0008] If a transmitter is placed in a homogeneous medium, currents will
flow in paths surrounding the transmitter. When a borehole is added,
these current paths are distorted. These currents induce a voltage in a
receiver displaced from the transmitter. This voltage is an indication of
the resistivity of the formation. If instead of a homogeneous medium, we
include a borehole, then the current paths are altered and hence the
received voltage is different from what would be measured in the absence
of a borehole. This difference is called the "borehole effect." The
difference in borehole effect between a LMD-based tool and a TMD-based
tool is due to the difference between the distortion of the currents in
the presence of a borehole.
[0009] A particularly troublesome property of the TMD is the extremely
large borehole effect that occurs in high contrast situations, i.e., when
the mud in the borehole is much more conductive than the formation. When
a TMD is placed in the center of a borehole, there is no net current
along the borehole axis. A TMD can be eccentered in a borehole in two
possible orientations, which we will call parallel and perpendicular
eccentering as shown in FIG. 1. In parallel eccentering, the TMD is in a
direction parallel to the direction of the magnetic moment. The symmetry
of this situation insures that there is still no net current along the
borehole axis. However, when a TMD is eccentered in a direction
perpendicular to the direction of the magnetic moment, axial currents are
induced in the borehole. In high contrast situations these currents can
flow for a very long distance along the borehole. When these currents
pass by TMD receivers, they can cause undesired signals that are many
times larger than would appear in a homogeneous formation without a
borehole, resulting in erroneous measurements.
[0010] The techniques for processing measured signal data to determine
formation parameters involve a number of mathematical calculations. U.S.
Pat. No. 4,302,722 (assigned to the present assignee) describes
techniques for determining formation conductivity and anisotropy
parameters from the measurements. U.S. Pat. Nos. 5,781,436, 5,999,883 and
6,044,325 describe methods for producing estimates of various formation
parameters from tri-axial measurements. U.S. Pat. No. 5,041,975 (assigned
to the present assignee) describes a technique for processing signal data
from downhole measurements in an effort to correct for borehole effects.
U.S. Pat. No. 5,058,077 describes a technique for processing downhole
sensor data in an effort to compensate for the effect of eccentric
rotation on the sensor while drilling.
[0011] It is desirable to have a simplified technique for measuring
anisotropic resistivity using well
tools implemented with TMDs. Thus
there remains a need for improved measurement techniques that reduce or
eliminate borehole effects associated with the flow of undesired axial
currents along the borehole.
SUMMARY OF THE INVENTION
[0012] Systems and methods are provided for determining subsurface
formation properties from EM measurements. The measurements are acquired
within the formation with a well tool adapted with a TMD antenna system.
[0013] One aspect of the invention provides a method for determining a
property of a subsurface formation using an antenna system disposed
within a borehole traversing the formation. The method comprises
determining when a magnetic dipole moment of a transmitter antenna of the
system is oriented substantially perpendicular with respect to the wall
of the borehole; determining the coupling between a receiver antenna of
the system and the transmitter antenna when the dipole moment is in the
substantially perpendicular orientation; and using the coupling between
the antennas to determine the formation property.
[0014] Another aspect of the invention provides a method for determining a
property of a subsurface formation from signal data obtained with a
transmitter antenna and a receiver antenna disposed within a borehole
traversing the formation. The method comprises determining the
orientation of a magnetic dipole moment of the transmitter antenna using
the signal data; determining the coupling between the transmitter antenna
and the receiver antenna with the dipole moment oriented substantially
perpendicular with respect to the wall of the borehole; and using the
coupling between the antennas to determine the formation property.
[0015] Another aspect of the invention provides a well logging system
including a well tool adapted for deployment through a borehole
traversing an earth formation and an apparatus adapted for coupling to
the well tool, the well tool having a longitudinal axis and including a
transmitter antenna and a receiver antenna disposed thereon. The
apparatus comprises means for determining when a magnetic dipole moment
of the transmitter antenna is oriented substantially perpendicular with
respect to the wall of the borehole; means for determining the coupling
between the transmitter antenna and the receiver antenna with the dipole
moment in the substantially perpendicular orientation; and means for
determining a property of the formation using the coupling between the
antennas.
BRIEF DESCRIPTION OF THE DRAWINGS
[0016] Other aspects and advantages of the invention will become apparent
upon reading the following detailed description and upon reference to the
drawings in which:
[0017] FIG. 1 shows a pictorial looking downhole of parallel and
perpendicular eccentering of a tilted or transverse magnetic dipole
within a borehole.
[0018] FIG. 2 shows pictorials looking downhole of various positions and
orientations of transmitters and receivers in a borehole.
[0019] FIG. 3 shows a pictorial looking downhole of two transverse
antennas arbitrarily oriented within the borehole.
[0020] FIG. 4 shows a pictorial looking downhole of two transverse
antennas arbitrarily oriented within an elliptical borehole.
[0021] FIG. 5 is a schematic diagram of a logging system in accord with
the invention.
[0022] FIG. 6 is a flow chart of a method for determining a formation
property using an antenna system in accord with the invention.
[0023] FIG. 7 is another flow chart of another method for determining a
formation property in accord with the invention.
DESCRIPTION OF SPECIFIC EMBODIMENTS
[0024] The present invention concerns subsurface EM measurements and the
processing of signal data to determine antenna couplings, i.e., the
voltages induced at receiver antennas by respective transmitter antennas.
From the above observations, a strategy for reduction of borehole
eccentricity effects for a system of TMDs is determined. This strategy is
based on cancellation of the longitudinal current near the receiver or
cancellation of the azimuthal component of the TMD source field. A way to
eliminate the unwanted modes is to direct the antenna's magnetic field so
the resulting magnetic dipole only has a radial component (radial TMD),
which is achieved with the TMD in the parallel orientation.
[0025] The antenna or field source is treated herein as a magnetic dipole
of strength M and the radial and azimuthal positions of the transmitter
and receiver are considered the same in the borehole, i.e. (.rho..sub.T,
.phi..sub.T)=(.rho..sub.R, .phi..sub.R). Five transmitter and receiver
orientations of interest are shown in FIG. 2. A perpendicularly
eccentered TMD produces only an azimuthal component of the magnetic field
in all points with the same polar coordinates (.rho., .phi.), while a
parallel eccentered TMD induces voltages in radially and axially
(longitudinally) oriented antennas. The techniques of the invention are
suitable for configurations when couplings of TMDs and LMDs are separable
and sensitive to orientation of TMDs. That is, when the orientation of
minimal and maximal coupling can be distinguished. That is generally the
case in vertical and small deviation wells.
[0026] By rotating (mechanically or electromagnetically) an antenna about
its axis in order to maximize the coupling between a TMD and a LMD
antenna, the borehole effect may be canceled. Consider two mutually
orthogonal TMDs, M.sub.x, and M.sub.y, in the circular borehole shown in
FIG. 3. In the local coordinate system, tied to the borehole, the radial
components of the magnetic dipoles are: 1 M x = M x
cos ( T - 0 ) M y = M y cos ( 2
- T + 0 ) = M y sin ( T - 0 ) . (
1 )
[0027] If the currents of two transverse transmitters are the same, i.e.,
M.sub.x=M.sub.y=M, then the azimuthal coordinate of the transmitter
M.sub.x can be determined from 2 tan ( T - 0 ) = V yz
V xz , ( 2 )
[0028] where V.sub.xz and V.sub.yz are couplings of longitudinal (z
directed) receivers with x and y directed transmitters.
[0029] Equivalent magnetic dipoles need to be rotated about the instrument
axis for the angle (.phi..sub.T-.phi..sub.0) and the resulting dipole has
to be pointed in the direction perpendicular to the borehole wall. The
rotation of magnetic dipoles can be done electromagnetically, by changing
the magnitude (scaling) of transmitter currents of x and y directed
sources, M.sub.x and M.sub.y, or physically, by mechanically rotating the
instrument for the angle (.phi..sub.T-.phi..sub.0), i.e., until the
coupling of one TMD transmitter with a LMD receiver is maximal.
[0030] In electromagnetic rotation, the coils are selectively excited
using scaling factors. The scaling factors .alpha..sub.x and
.alpha..sub.y for two transverse transmitters are 3 M = a x
M x + a y M y a x = cos ( T - 0 ) = 1
1 + tan 2 ( T - 0 ) = V yz V xz 2 + V yz 2
a y = sin ( T - 0 ) = tan ( T - 0 )
1 + tan 2 ( T - 0 ) = V xz V xz 2 + V yz 2
( 3 )
[0031] and resulting magnetic dipole source strength will be
M.sub..rho.=M.sub.x.rho. cos(.phi..sub.T-.phi..sub.0)+M.sub.y.rho.
sin(.phi..sub.T-.phi..sub.0)=M. (4)
[0032] Mechanical rotation offers alternatives. One alternative is to
measure the couplings of TMDs with a LMD. A TMD is in the parallel
orientation if its coupling with a LMD is maximal, and other TMDs do not
couple with the LMD. Another approach is to rotate the instrument until
the coupling of an x-directed transmitter and y-directed receiver is
minimal. The magnitude of coupling is used for selection of a TMD pair.
The lower of two couplings corresponds to a parallel-directed TMD system
and may be used for anisotropy indication.
[0033] FIG. 4 shows two transverse antennas arbitrarily oriented in an
elliptical borehole.
[0034] With an elliptical borehole, the direction of maximal TMD-LMD
coupling is approximately perpendicular to the surface of the borehole.
Dipoles are rotated until the coupling is maximized, or until the
coupling of a TMD transmitter and an orthogonal TMD receiver is
minimized. This invention may also be applied when the borehole is
perpendicular to strike direction, as it is often the case in wireline
logging. In such situations, gravity will decentralize the tool
perpendicular to strike. Thus fulfilling the borehole separability
condition and allowing for effective use of these techniques. It is
noted, however, that these methods may not be as effective at higher
angles, arbitrary borehole orientations, or in the vicinity of
boundaries.
[0035] After focusing and proper rotation of TMDs is performed, the
borehole effect is minimized, and resistivity anisotropy parameters of
surrounding formations can be determined using conventional inversion
techniques known in the art. It will be appreciated that because of the
reciprocity theorem, the transmitters and receivers of the disclosed
embodiments may be switched without affecting their mutual couplings.
[0036] It will be apparent to those skilled in the art that the invention
may be implemented by programming one or more suitable general-purpose
computers to perform the calculations. The programming may be
accomplished through the use of one or more program storage devices
readable by the processor and encoding one or more programs of
instructions executable by the computer to perform the described
operations. The precise forms of the program storage device and of the
encoding of instructions are immaterial to the implementation of the
disclosed techniques.
[0037] The present invention can be implemented in a logging system 200
including a well tool 210 equipped with TMD antennas and an apparatus 212
coupled to the tool 210 as shown in FIG. 5. Certain conventional details
are omitted in FIG. 5 for clarity of illustration. The apparatus 212
comprises a computer (such as the general-purpose computer and program
storage device described above) coupled to the tool 210. The measured
signal data is processed to determine the couplings as known in the art
and described herein. From the measured data, the formation resistivity
profile can be determined synchronously while logging by using known
telemetry techniques or from a recorded-mode after the data is acquired.
[0038] FIG. 6 shows a flow chart outlining a process for determining a
formation property using an antenna system of the invention. At 300, a
TMD antenna system is disposed within a borehole traversing the
formation. At 305, it is determined when a magnetic dipole moment of a
transmitter of the antenna system is oriented substantially perpendicular
with respect to the wall of the borehole using the described techniques.
At 310, the coupling between a receiver and the transmitter is determined
when the dipole moment is in the orientation substantially perpendicular
to the borehole wall. The coupling between the antennas is then used to
determine the formation property at 315.
[0039] FIG. 7 shows another flow chart outlining a process for determining
a formation property from signal data obtained using a transmitter and
receiver disposed within a borehole traversing the formation in accord
with the invention. At 400, the orientation of a magnetic dipole moment
of the transmitter is determined using the signal data. At 405, the
coupling between the transmitter and the receiver is determined with the
dipole moment oriented substantially perpendicular with respect to the
borehole wall. The coupling between the antennas is then used to
determine the formation property at 410.
[0040] It will be understood by those skilled in the art that the
invention may be implemented in wireline or while-drilling applications.
The invention may also be implemented in a system having a plurality of
antennas as known in the art. Such antennas may be placed on the well
tool in various sets or configurations and operated at various
frequencies to obtain the desired measurements. For example, when used
for induction-type measurements, a system of the invention may include
one or more "bucking" antennas (not shown) disposed near a transmitter or
receiver. It is well known that signals measured with induction
frequencies are affected by direct transmitter-to-receiver coupling. Thus
a bucking antenna is typically used to eliminate or reduce these coupling
effects. The invention may also be implemented with saddle-coil or
flex-circuit antenna configurations (not shown).
[0041] While the systems and methods of this invention have been described
as specific embodiments, it will be apparent to those skilled in the art
that other embodiments of the invention can be readily devised which do
not depart from the concept and scope of the invention as disclosed
herein. All such similar variations apparent to those skilled in the art
are deemed to be within the scope of the invention as defined by the
appended claims.
* * * * *