U.S. patent application number 14/083236 was filed with the patent office on 2014-03-13 for magnetic ranging while drilling using an electric dipole source and a magnetic field sensor.
This patent application is currently assigned to SCHLUMBERGER TECHNOLOGY CORPORATION. The applicant listed for this patent is SCHLUMBERGER TECHNOLOGY CORPORATION. Invention is credited to BRIAN OLIVER CLARK, JAIDEVA C. GOSWAMI.
Application Number | 20140069721 14/083236 |
Document ID | / |
Family ID | 41199631 |
Filed Date | 2014-03-13 |
United States Patent
Application |
20140069721 |
Kind Code |
A1 |
CLARK; BRIAN OLIVER ; et
al. |
March 13, 2014 |
MAGNETIC RANGING WHILE DRILLING USING AN ELECTRIC DIPOLE SOURCE AND
A MAGNETIC FIELD SENSOR
Abstract
A system and methods for drilling a well in a field having an
existing well are provided. Specifically a method of drilling a new
well in a field having an existing well includes drilling the new
well using a bottom hole assembly (BHA) having a drill collar
divided by an insulated gap, generating a current on the drill
collar of the BHA while drilling the new well, and measuring from
the existing well a magnetic field caused by the current on the
drill collar of the BHA. Using measurements of the magnetic field,
a relative position of the new well to the existing well may be
determined.
Inventors: |
CLARK; BRIAN OLIVER; (SUGAR
LAND, TX) ; GOSWAMI; JAIDEVA C.; (SUGAR LAND,
TX) |
|
Applicant: |
Name |
City |
State |
Country |
Type |
SCHLUMBERGER TECHNOLOGY CORPORATION |
SUGAR LAND |
TX |
US |
|
|
Assignee: |
SCHLUMBERGER TECHNOLOGY
CORPORATION
SUGAR LAND
TX
|
Family ID: |
41199631 |
Appl. No.: |
14/083236 |
Filed: |
November 18, 2013 |
Related U.S. Patent Documents
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Application
Number |
Filing Date |
Patent Number |
|
|
12105698 |
Apr 18, 2008 |
8596382 |
|
|
14083236 |
|
|
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|
Current U.S.
Class: |
175/45 |
Current CPC
Class: |
E21B 47/0228 20200501;
E21B 43/2406 20130101 |
Class at
Publication: |
175/45 |
International
Class: |
E21B 47/022 20060101
E21B047/022 |
Claims
1. A method of drilling a well comprising: drilling a second
horizontal well above a first horizontal well using a bottom hole
assembly (BHA) having a drill collar divided by an insulated gap;
generating a current along the drill collar of the BHA while
drilling the second horizontal well to form an electric dipole over
the insulated gap, the dipole having a first pole and a second
pole; calculating a magnetic field strength for the electric dipole
for a range of locations; on the existing well, measuring a
magnetic field caused by the electric dipole on the drill collar of
the BHA; comparing the calculated magnetic field strength to the
measured magnetic field; determining a position of the new well
relative to the existing well based on the comparing of the
calculated magnetic field strength to the measured magnetic field;
and adjusting a trajectory of the BHA such that the second
horizontal well will be drilled substantially perpendicular to the
first horizontal well based on measurements of the magnetic
field.
2. The method of claim 1, further comprising locating in the first
horizontal well a point of closest approach between the first
horizontal well and the second horizontal well based on
measurements of the magnetic field.
3. The method of claim 2, further comprising estimating a distance
between the first horizontal well and the second horizontal well at
the point of closest approach.
4. The method of claim 1, further comprising estimating a distance
between the first horizontal well and the second horizontal well
based on a change in magnetic flux as the BHA moves toward or away
from the first horizontal well.
5. The method of claim 1, wherein the first horizontal well and the
second horizontal well are Cross Well Steam Assisted Gravity
Drainage (X-SAGD) wells.
6. The method of claim 1, further comprising deploying a wireline
magnetometer into the first horizontal well to measure the magnetic
field.
7. The method of claim 6, further comprising measuring the magnetic
field with the wireline magnetometer in a variety of locations
along the first horizontal well.
8. The method of claim 1, further comprising: drilling a third
horizontal well before drilling the first and second horizontal
wells; adjusting a trajectory of the BHA such that the second
horizontal well will be drilled substantially perpendicular to the
third horizontal well based on measurements of the magnetic field.
Description
CROSS-REFERENCE TO RELATED APPLICATION
[0001] This application is a divisional application of U.S. patent
application Ser. No. 12/105,698 filed Apr. 18, 2008, now U.S. Pat.
No. 8,596,382 issued Dec. 3, 2013, which is incorporated herein by
reference in its entirety.
BACKGROUND OF THE INVENTION
[0002] The present invention relates generally to well drilling
operations and, more particularly, to well drilling operations
using magnetic field measurements from an electric dipole to
ascertain the relative location of a new well to an existing
well.
[0003] Heavy oil may be too viscous in its natural state to be
produced from a conventional well. To produce heavy oil, a variety
of techniques may be employed, including, for example, Steam
Assisted Gravity Drainage (SAGD), Cross Well Steam Assisted Gravity
Drainage (X-SAGD), or Toe to Heel Air Injection (THAI). While SAGD
wells generally involve two parallel horizontal wells, X-SAGD and
THAI wells generally involve two or more wells located
perpendicular to one another.
[0004] X-SAGD and THAI techniques function by employing one or more
wells for steam injection or air injection, respectively, known as
"injector wells." The injector wells pump steam or air into precise
locations in a heavy oil formation to heat heavy oil. One or more
lower horizontal wells, known as "producer wells," collect the
heated heavy oil. For an X-SAGD well pair including an injector
well and a producer well, the injector well is a horizontal well
located above and oriented perpendicular to the producer well. In
contrast, for a THAI well pair including an injector well and a
producer well, the injector well is a vertical well located near
and oriented perpendicular to the producer well.
[0005] Steam or air from an injector well in an X-SAGD or THAI well
pair should be injected at a precise point in the heavy oil
formation to maximize recovery. Particularly, if steam is injected
too near to a point of closest approach between the injector well
and the producer well, steam may be shunted out of the formation
and into the producer well. Using many conventional techniques, the
point of closest approach between the two wells may be difficult to
locate or the location of the point of closest approach may be
imprecise.
[0006] Moreover, the relative distance between the injector and
producer wells of an X-SAGD or THAI well pair may affect potential
recovery. The wells should be located sufficiently near to one
another such that heavy oil heated at the injector well may drain
into the producer well. However, if the wells are located too near
to one another, steam or air from the injector well may shunt into
the producer well, and if the wells are located too far from one
another, the heated heavy oil may not extend to the producer well.
Using conventional techniques, it may be difficult to accurately
drill one well perpendicular to another well.
SUMMARY
[0007] Certain aspects commensurate in scope with the originally
claimed invention are set forth below. It should be understood that
these aspects are presented merely to provide the reader with a
brief summary of certain forms of the invention might take and that
these aspects are not intended to limit the scope of the invention.
Indeed, the invention may encompass a variety of aspects that may
not be set forth below.
[0008] In accordance with an embodiment of the invention, a method
of drilling a new well in a field having an existing well includes
drilling the new well using a bottom hole assembly (BHA) having a
drill collar divided by an insulated gap, generating a current on
the drill collar of the BHA, and measuring from the existing well a
magnetic field caused by the current on the drill collar of the
BHA. Using measurements of the magnetic field, the relative
position of the new well to the existing well may be
determined.
BRIEF DESCRIPTION OF THE DRAWINGS
[0009] Advantages of the invention may become apparent upon reading
the following detailed description and upon reference to the
drawings in which:
[0010] FIG. 1 is a schematic of a well drilling operation using
magnetic ranging while drilling for a parallel well;
[0011] FIG. 2 is a schematic of a more detailed view of the well
drilling operation of FIG. 1;
[0012] FIG. 3 is a cross-sectional view of an existing well taken
along cut lines 3-3 in the well drilling operation of FIG. 1;
[0013] FIG. 4 is a schematic depicting a well drilling operation
for drilling a Toe to Heel Air Injection (THAI) well using magnetic
ranging while drilling in accordance with an embodiment of the
invention;
[0014] FIG. 5 is a flowchart describing an embodiment of a method
of performing the well drilling operation of FIG. 4;
[0015] FIG. 6 is a flowchart depicting another embodiment of a
method of performing the well drilling operation of FIG. 4;
[0016] FIG. 7 is a schematic depicting a well drilling operation
for drilling a Cross Well Steam Assisted Gravity Drainage (X-SAGD)
well in accordance with an embodiment of the invention;
[0017] FIG. 8 is a flowchart describing an embodiment of a method
of performing the well drilling operation of FIG. 7;
[0018] FIG. 9 is a schematic side view of the well drilling
operation of FIG. 4;
[0019] FIG. 10 is a schematic top view of the well drilling
operation of FIG. 4;
[0020] FIG. 11 is a schematic end view of the well drilling
operation of FIG. 4;
[0021] FIG. 12 is a plot of sensor noise of a plurality of
available magnetometers for a variety of magnetic field
frequencies;
[0022] FIG. 13 is a diagram of an electric dipole formed as an
electric current passes through a bottom hole assembly (BHA)
divided by an insulated gap;
[0023] FIG. 14 is a plot of the magnitude of magnetic flux density
as a function of distance along a BHA using magnetic ranging while
drilling for a variety of offsets in the x-axis;
[0024] FIG. 15 is a plot of magnetic flux density in the x-axis as
a function of distance in the y-axis from a BHA using magnetic
ranging while drilling for a variety of offsets in the x-axis;
[0025] FIG. 16 is a plot of magnetic flux density in the y-axis as
a function of distance in the y-axis from a BHA using magnetic
ranging while drilling for a variety of offsets in the x-axis;
[0026] FIG. 17 is a flowchart describing a method of obtaining the
relative positions between two perpendicular wells in accordance
with an embodiment of the invention;
[0027] FIG. 18 is a schematic depicting a well drilling operation
in which the relative positions between two wells may be
ascertained when the two wells are not necessarily
perpendicular;
[0028] FIG. 19 is a plot of transverse magnetic flux density as a
function of distance along the existing well depicted in FIG.
18;
[0029] FIG. 20 is a plot of parallel magnetic flux density as a
function of distance along the existing well depicted in FIG. 18;
and
[0030] FIG. 21 is a flowchart describing a method of obtaining the
relative positions of two non-parallel wells in accordance with an
embodiment of the invention.
DETAILED DESCRIPTION OF SPECIFIC EMBODIMENTS
[0031] One or more specific embodiments of the present invention
are described below. In an effort to provide a concise description
of these embodiments, not all features of an actual implementation
are described in the specification. It should be appreciated that
in the development of any such actual implementation, as in any
engineering or design project, numerous implementation-specific
decisions must be made to achieve the developers' specific goals,
such as compliance with system-related and business-related
constraints, which may vary from one implementation to another.
Moreover, it should be appreciated that such a development effort
might be complex and time consuming, but would nevertheless be a
routine undertaking of design, fabrication, and manufacture for
those of ordinary skill having the benefit of this disclosure.
[0032] As used herein, the term "first well" (labeled numeral 12)
refers to a generally horizontal existing well, "vertical well"
(labeled numeral 52) refers to a generally vertical existing
vertical well, and "second well" (labeled numeral 14) refers to a
secondary well drilled in the vicinity of either the first well 12
or the vertical well 52. It should be appreciated, however, that
the wells may be drilled in any order and that the terms are used
to clarify the figures discussed below.
[0033] FIG. 1 depicts a well drilling operation 10 involving
magnetic ranging while drilling. In the well drilling operation 10,
an existing first well 12 and a new second well 14 extend from the
surface through a formation 16 into a heavy oil zone 18. The first
well 12 is cased with casing 20 and completed with tubing 22. A
drill string 24 is used to drill the second well 14. The drill
string 24 includes a bottom hole assembly (BHA) 26 having a drill
bit 28 and a steerable system 30. The BHA 26 may also include a
variety of drilling tools such as a measurement while drilling
(MWD) tool or a logging while drilling (LWD) tool.
[0034] A tool in the BHA 26 generates an electric current 32 on
both sides of an insulated gap 34 in the outer drill collar. The
current 32 generates an azimuthal magnetic field 36 around the BHA
26. FIG. 1 depicts the magnetic field 36 centered on the insulated
gap 34, but it should be understood that the magnetic field 36
extends along the length of the BHA 26 and beyond. A wireline
magnetometer 38 may be deployed into the first well 12 using a
tractor or a coiled tubing system, with which the strength of the
magnetic field 36 may be measured at a variety of locations along
the first well 12. With measured magnetic field 36 strength data
obtained by the wireline magnetometer 38, the relative position
between first well 12 and second well 14 may be ascertained.
[0035] FIG. 2 provides a more detailed view 40 of the well drilling
operation 10 of FIG. 1. As illustrated in the more detailed view
40, the BHA 26 includes an electric current driving tool 42, which
may be a component of a measurement while drilling (MWD) tool such
as Schlumberger's E-Pulse or E-Pulse Express tool or a standalone
tool. The electric current driving tool 42 generates the electric
current 32 on an outer drill collar 44 located on the opposite side
of the insulated gap 34. The more detailed view 40 also illustrates
that when the first well 12 and the second well 14 are parallel,
the magnetic field 36 generated by the electric current 32 may not
necessarily be detected by the wireline magnetometer 38.
Particularly, if the casing 20 is composed of a magnetic material
such as alloy steel, the magnetic field 36 may be significantly
attenuated and may not effectively penetrate the casing 20.
[0036] Turning to FIG. 3, a cross-sectional view 46 of the first
well 12, depicted from along the cut lines 3-3 of FIG. 1,
illustrates the attenuation of the magnetic field 36 which may
occur when the first well 12 and the second well 14 are parallel
and the casing 20 is composed of a magnetic material. In the
cross-sectional view 46, the wireline magnetometer 38 is deployed
within the tubing 22 and surrounded by the casing 20, which may be
assumed to be alloy steel. When the first well 12 and the second
well 14 are parallel, the azimuthal magnetic field 36 from the
second well 14 will be perpendicular to the first well 12. To the
extent the magnetic field 36 is perpendicular to the casing 20, the
magnetic field 36 may be significantly attenuated. As such, a
re-directed magnetic field path 48 may effectively route the
magnetic field 36 around the casing 20 of the first well 12,
largely preventing its detection by the wireline magnetometer
38.
[0037] FIG. 4 illustrates a well drilling operation 50 for drilling
a horizontal well perpendicular to a vertical well. It should be
noted that because the wells depicted in FIG. 4 are not parallel,
but perpendicular, the magnetic field 36 may be largely
undiminished by the presence of magnetic casing. It should be
further noted that many applications may benefit from an accurate
placement of perpendicular wells, and though the well drilling
operation 50 depicted relates primarily to Toe to Heel Air
Injection (THAI), the methods described herein may be well suited
to developing a variety of such applications.
[0038] As will be understood, THAI is an in situ combustion process
involving horizontal wells for producing oil and combustion
by-products and vertical wells for injecting air into the heavy oil
zone 18. The injected air causes some heavy oil in the heavy oil
zone 18 to combust, which heats the surrounding heavy oil, reducing
its viscosity. In addition, some upgrading of the heavy oil to
lighter oil may occur. Gravity causes the heated heavy oil and
upgraded oil to collect in the horizontal wells below. One approach
to THAI is depicted in the well drilling operation 50 of FIG. 4.
First, a vertical well 52, known as an injector well, is drilled
and cased with casing 54. The horizontal second well 14, known as a
producer well, is subsequently drilled. Periodically, during the
drilling of the second well 14, the magnetic field 36 may be
measured from a wireline magnetometer 38 within the vertical well
52. Using measurements of the magnetic field 36 at various
locations from within the vertical well 52, the precise location of
the second well 14 relative to the vertical well 52 may be
obtained. The trajectory of the BHA 26 may be properly adjusted
such that the second well 14 is drilled at the proper distance and
orientation from the vertical well 52. The well drilling operation
50 and, specifically, the spatial relationships of the second well
14 and the vertical well 52 will be described further below with
respect to FIGS. 9-11.
[0039] Turning to FIG. 5, a flow chart 56 describes one method for
drilling the THAI well depicted in the well drilling operation 50
of FIG. 4. In first step 58, the vertical well 52 is drilled and
cased with casing 54. Step 60 involves drilling the second well 14.
Periodically, magnetic field measurements may be obtained while the
second well 14 is being drilled. When the electric current driving
tool 42 generates the electric current 32 on the drill collar of
the BHA 26, an electric dipole is effectively formed from the two
sides of the BHA 26 surrounding the insulated gap 34, producing the
azimuthal magnetic field 36. In step 62, the gravity deployed
wireline magnetometer 38 may measure the strength of the magnetic
field 36 at a variety of points in the vertical well 52. In step
64, based on the measurements of the magnetic field, the relative
position of the vertical well 52 and the second well 14 may be
determined according to a technique discussed below.
[0040] FIG. 6 depicts an alternative flow chart 66 describing a
method of drilling horizontal wells in fields having existing
vertical wells. Particularly, for heavy oil fields that were
originally developed using "huff and puff' or using a steam flood
through vertical wells, a series of horizontal wells drilled among
existing vertical wells may increase recovery. In such a situation,
the existing vertical wells may be employed as steam injector
wells, and the new horizontal wells may be employed as producer
wells. In a first step 68, a horizontal well such as the second
well 14 begins being drilled in a field with a plurality of
existing vertical wells such as the vertical well 52. Periodically,
magnetic field measurements may be obtained while the second well
14 is being drilled. When the electric current driving tool 42
generates the electric current 32 on the drill collar of the BHA
26, an electric dipole is effectively formed from the two sides of
the BHA 26 surrounding the insulated gap 34, producing the
azimuthal magnetic field 36.
[0041] In step 70, the wireline magnetometer 38 is gravity deployed
into a first of the existing vertical wells such as vertical well
52. In step 72, the wireline magnetometer may measure the magnetic
field 36 at a variety of points in the vertical well 52. Based on
the measurements of the magnetic field 36, the relative position of
the vertical well 52 and the second well 14 may be determined
according to a technique discussed below. In decision block 76, if
the horizontal second well 14 will cross another vertical well 52
in the field of existing vertical wells, the process returns to
step 70 for drilling beyond the subsequent vertical well 52. If
not, the process ends at step 78.
[0042] Turning to FIG. 7, a well drilling operation 80 depicts
drilling two perpendicular wells for use in Cross Well Steam
Assisted Gravity Drainage (X-SAGD) wells. A first horizontal well
12 is drilled through the formation 16 and into the heavy oil zone
18 before completion with casing 20 and tubing 22. A second well 14
is subsequently drilled above and perpendicular to the first well
12. Periodically, magnetic field measurements may be obtained while
the second well 14 is being drilled. The electric current 32 on the
drill collar of the BHA 26 may form an electric dipole from the two
sides of the BHA 26 surrounding the insulated gap 34, producing the
azimuthal magnetic field 36. As noted by numeral 82, because the
second horizontal well 14 is perpendicular to the first horizontal
well 12, the magnetic field 36 may be detected by the magnetometer
38 with little attenuation.
[0043] Turning to FIG. 8, a flowchart 84 depicts a method of
drilling the X-SAGD well depicted in FIG. 7. In step 86, the first
horizontal well 12 is drilled and completed with casing 20 and
tubing 22. Step 88 involves drilling the perpendicular horizontal
second well 14. Periodically, magnetic field measurements may be
obtained while the second well 14 is being drilled. The electric
current 32 on the drill collar of the BHA 26 may form an electric
dipole from the two sides of the BHA 26 surrounding the insulated
gap 34, producing the azimuthal magnetic field 36.
[0044] Continuing to view the flowchart 84 of FIG. 8, in step 90,
the wireline magnetometer 38 is deployed in the first well 12 using
a mud pump to push it down inside the tubing 22, or in case there
is no tubing present, using a tractor, coiled tubing, or other
means. In step 92, the magnetic field 36 may be detected by the
wireline magnetometer 38 at a variety of locations along the first
well 12. The data obtained by the wireline magnetometer 38 may be
subsequently used in step 94 to determine the relative position of
the first well 12 to the second well 14 using techniques described
further below. Turning to the decision block 96, if the second well
14 will cross another horizontal well 12, the process returns to
step 90 for drilling beyond the subsequent horizontal well 12. If
not, the process ends at step 98.
[0045] It should be noted that if the two wells are exactly
perpendicular then no current will be generated on the casing of
the first well 12. However, if the two wells are not perpendicular,
then a current may be generated on the casing of the first well 12.
As a result, alternative techniques involving magnetic ranging
while drilling from induced magnetic fields may be applied. Such
techniques are described in Published Application US 2007/016426
A1, Provisional Application No. 60/822,598, application Ser. No.
11/833,032, and application Ser. No. 11/781,704, each of which is
assigned to Schlumberger Technology Corporation and incorporated
herein by reference.
[0046] FIGS. 9, 10, and 11 depict three different views of the well
drilling operation 50 as depicted in FIG. 4 to illustrate the
spatial relationship between the vertical well 52 and the second
well 14. FIG. 9 depicts a side view 100 of the well drilling
operation 50 of FIG. 4. As illustrated in the side view 100, the
second well 14 is perpendicular to the vertical well 52. The second
well is aligned with the z-axis. Meanwhile, the vertical well 52 is
aligned with the y-axis. As a result, when the magnetometer 38 is
raised and lowered on a wireline 102, the intensity of the magnetic
field 36 may be defined as a function of distance along the
y-axis.
[0047] FIG. 10 depicts a top view 104 of the well drilling
operation 50 of FIG. 4. In the top view 104, the second well 14 is
depicted as being offset from the vertical well 52 along the
x-axis. As a result, the closest approach between the second well
14 and the vertical well 52 is correspondingly defined along the
x-axis.
[0048] FIG. 11 depicts end view 106 of the well drilling operation
50 of FIG. 4. As indicated in the figure, the magnetometer 38 is
raised and lowered along the y-direction by the wireline 102 within
the vertical well 52. Thus, at various points across the y-axis,
the intensity of the magnetic field 36 may be measured. As may be
appreciated, for all three views 100, 104, and 106, the
magnetometer 38 may detect the magnetic field 36 largely unimpeded
by the casing 54, since the second well 14 is oriented
perpendicularly to the vertical well 52.
[0049] Turning to FIG. 12, a plot 108 illustrates the sensitivity
of available magnetometers for borehole use. An ordinate 110
represents sensor noise in units of nanoTesla per root Hertz (nT/
{square root over (Hz)}), while an abscissa 112 represents
frequency in units of Hertz (Hz). Lines 114, 116, 118, 120, and 122
respectively indicate the sensitivity of a BF-4 magnetometer, a
BF-6 magnetometer, a BF-7 magnetometer, a BF-10 magnetometer, and a
BF-17 magnetometer, all of which are manufactured by Schlumberger
EMI Technology Center, in Richmond, Calif.
[0050] As apparent in the plot 108, noise figures may be
exceptionally low for many of the BF series magnetometers. As will
be discussed below, a magnetometer with one nanoTesla (nT)
resolution should be sufficient to accurately estimate a distance
of one well to another from at least fifty meters apart. The noise
figures for the magnetometers described in the plot 108 achieve
picoTesla (pT) noise levels per root Hertz (pT/ {square root over
(Hz)}). Thus, the available magnetometers should be sufficient to
practice the technique disclosed herein.
[0051] Turning to FIG. 13, an electric dipole 124 is depicted. The
electric dipole 124 models the electric dipole which forms on the
BHA 26 surrounding the insulated gap 34. The portion of the BHA 26
from the insulated gap to the drill bit 28 is noted in FIG. 13 as a
first electric pole 126. The portion of the BHA 26 from the
insulated gap through the drill string 24 is noted in FIG. 13 as a
second electric pole 128. The second electric pole 128 on the BHA
26 is longer than the first electric pole 126 on the BHA 26, since
the electric current 32 can extend onto the drill string 24 above
the BHA 26. For a measurement point 130, which is located near the
first pole 126, only a small error is introduced by truncating the
length of the second electric pole 128. Additionally, since the
magnetic field generated by an electric dipole in a conductive
medium can be calculated analytically, the result may be used to
model the magnetic field 36 generated by the electric dipole 124
formed by the BHA 26. The azimuthal magnetic field 36 strength
created by the electric dipole 124 may be described by the
following relationship:
H .phi. = I 0 y 4 .pi. [ .intg. - W 2 - s W 2 + z ' d 2 .zeta.
.phi. esp ( - j kR ) z ' + .intg. - s s .zeta. .phi. exp ( - j kR )
z ' + .intg. s W 1 W 1 - z ' d 1 .zeta. .phi. exp ( - j kR ) z ' ]
, where W 1 = s + d 1 , W 2 = s + d 2 , .zeta. .phi. = ( 1 + j kR )
R 3 , R = r -> - r -> ' , k 2 = .omega. 2 .mu. 0 ~ = k 0 2 r
, and r = r - j .sigma. .omega. 0 . ( 1 ) ##EQU00001##
[0052] In the equations above, d.sub.1 represents the length of the
first electric pole 126, d.sub.2 represents the length of the
second electric pole 128, and s represents a distance from the
center of the insulated gap 34 to the outer drill collar. Further,
.omega. represents angular frequency, .mu. represents the
permeability of free space, .epsilon. represents permittivity of
the surrounding formation 18, .sigma. represents electrical
conductivity of the surrounding formation 18, and I.sub.0
represents the magnitude of the electric current 32 at the
insulated gap 34.
[0053] Equation (1) may be simplified as the frequency approaches
zero, i.e., for frequencies of a few hundred Hertz or lower.
Assuming the insulated gap 34 to be negligible in length compared
to the length of the arms of the dipoles, in a limit when the
frequency .omega. approaches zero, equation (1) may be rewritten as
follows:
H .phi. = I 0 y 4 .pi. [ .intg. - d 2 0 d 2 + z ' d 2 .zeta. .phi.
exp ( - j kR ) z ' + .intg. 0 d 1 d 1 - z ' d 1 .zeta. .phi. exp (
- j kR ) z ' ] . ( 2 ) ##EQU00002##
[0054] The integral in equation (2) above may be evaluated in
closed form, providing the following equation:
H .phi. = I 0 4 y .pi. [ y 2 + ( d 1 - z ) 2 d 1 - ( 1 d 1 + 1 d 2
) y 2 + z 2 + y 2 + ( d 2 + z ) 2 d 2 ] . ( 3 ) ##EQU00003##
[0055] Based on the equations above modeling the magnetic field
strength H.sub..phi., a vector magnetic field B at an arbitrary
location (x, y, z) may be defined according to the following
equation:
B _ ( x , y , z ) = ( - y x ^ + x y ^ ) .mu. 0 I 0 4 .pi..rho. 2 [
.rho. 2 + ( d 1 - z ) 2 d 1 - ( 1 d 1 + 1 d 2 ) .rho. 2 + z 2 +
.rho. 2 + ( d 2 - z ) 2 d 2 ] , where .rho. = x 2 + y 2 . ( 4 )
##EQU00004##
[0056] It should be noted that this calculation does not include
the attenuating effect that the casing 22 or 54 may have in the
first well 12 or the vertical well 52. As a result, the field
intensity may be reduced if the magnetometer 38 is concealed within
magnetic casing. However, attenuation due to the casing 22
generally has a constant value, and this effect may be removed by
calibration.
[0057] Equation (4) may be used to calculate the magnetic field and
existing wellbore for any trajectory of a well being drilled at any
angle and distance. For the data plotted in FIGS. 14-16, 19 and 20,
the model parameters are as follows: d.sub.1=30 m, d.sub.2=80 m,
s=0.2 m, and I.sub.0=10 A.
[0058] Turning to FIG. 14, plot 132 illustrates magnetic flux
density as measured by the magnetometer 38 in the first well 12 for
a variety of x-direction offsets of the second well 14. The
following discussion applies equally to the vertical well 52 as to
the first well 12. An ordinate 134 represents the absolute
magnitude of magnetic flux density in units of nanoTesla (nT), and
an abscissa 136 illustrates the distance in meters (m) along the
z-direction from the insulated gap 34 on the BHA 26. Numeral 138
indicates the location of the drill bit 28 at z=30 m in the plot
132, and numeral 140 indicates the location on the plot in which
the insulated gap 34 is disposed at z=0 m. The BHA 26 is located in
the x-z plane, i.e., at y=0 m. The magnetic field 36 is measured at
y=0.5 m above the x-z plane. Lines 142, 144, 146, 148, and 150
illustrate respectively the magnitude of magnetic flux density
along the axial direction in the z-direction for offsets in the
x-direction of 50 m, 30 m, 10 m, 5 m, and 2 m.
[0059] It should be noted that the magnetic flux density inside the
first well 12 is greatest when the first well 12 is exactly
opposite the insulated gap 34 in the BHA 26, which occurs when z=0
m. The coordinate system described in the plot 132 moves with the
BHA 26. Hence, different values of z correspond to the position of
the wireline magnetometer 38 in the first well 12 relative to the
insulated gap 34 on the BHA 26 in the second well 14.
[0060] In the plot 132, the magnetic flux density in the first well
12 at z=0 m varies from 1000 nT at an offset distance of 2 m to 20
nT at an offset distance of 50 m. Thus, a magnetometer with 1 nT
resolution should be able to accurately estimate the distance from
the first well 12 to the BHA 26 drilling the second well 14 from at
least 50 m away. As discussed above, available magnetometers are
capable of such a resolution.
[0061] When the first well 12 is at z=0 meters, the drill bit 28 is
30 m beyond the point of closest approach to the first well 12.
Thus, the distance between the two wells could be determined after
passing the first well 12. This information may be particularly
useful for evaluating the relative positions of two wells. The
relative positions of the first well 12 and the second well 14 may
be used for quality control or to plan production methods such as
steam injection. For example, in X-SAGD, solid casing might be used
near the crossing point to avoid a short path for the steam to
travel between the two wells.
[0062] When the first well 12 is at z=30 m, the drill bit 28 is
opposite the first well 12. The corresponding location on the
abscissa 136, at point 138, indicates that the magnetic field
intensity is ambiguous, as the curves overlap for the various
x-direction offset distances between the two wells. Thus, the
magnetic field measurements at z=0 m plotted in plot 132 of FIG. 14
alone may be insufficient to deduce the distance to the first well
12 from BHA 26 in the second well 14.
[0063] When the first well 12 is beyond z=30 m, the drill bit 28 of
the BHA 26 in the second well 14 has not yet reached the point of
closest approach of the first well 12. For example, at z=60 m on
the plot 132, the lines of plot 132 are well resolved for different
x-direction offset distances between the two wells. When the first
well 12 is offset by 2 m from the second well 14, the magnetic flux
density is very small, approaching 0.4 nT. When the first well 12
is offset by 30 m or more from the second well 14, the magnetic
flux density is instead 4.5 nT. Thus, an approach which may be too
close may be detected thirty meters ahead of the drill bit 28, and
corrections may be made to the drilling trajectory by way of
steerable system 30.
[0064] The change in the magnetic flux density as the BHA 26
continues to drill may also be used to estimate a transverse
distance between the first well 12 and the second well 14. For
example, observing the rate of change in magnetic flux density in
drilling ten meters (for example, from z=30 m to z=20 m) may be
used to estimate the relative separation of the first well 12 and
second well 14. When the first well 12 is a substantial distance
ahead of the drill bit 28, the magnetic flux is very weak. Thus,
the magnetometer should have a resolution of at least 0.1 nT to
perform such measurements of the drill bit 28. As indicated by plot
108 of FIG. 12, this resolution is within the capability of EMI EF
magnetometers.
[0065] FIGS. 15 and 16 represent plots obtained from the well
drilling operation 50 of FIGS. 4 and 9-11. Turning first to FIG.
15, a plot 152 illustrates magnetic flux density B.sub.x(y) in the
x-direction as measured by the magnetometer 38 for a variety of
x-direction offset locations for the first well 12. The first well
12 is located at z=15 m, midway between the drill bit 28 and the
insulated gap 34 on the BHA 26. An ordinate 154 represents the
magnetic flux density B.sub.x(y) in units of nanoTesla (nT), and an
abscissa 156 represents the distance in meters (m) along the
y-direction from the insulated gap 34 on the BHA 26. Lines 158,
160, 162, 164, and 166 illustrate respectively the magnitude of
magnetic flux density B.sub.x(y) measured along the y-direction
inside the first well 12 for offsets in the x-direction of 20 m, 10
m, 5 m, 2 m, and 1 m. When the wireline magnetometer 38 in the
first well 12 crosses y=0 m, noted as numeral 168 on the plot 152,
the magnetic flux density B.sub.x(y) changes sign. Since the point
of closest approach in the y-direction between the first well 12
and the second well 14 occurs at y=0 m, the point of closest
approach may be ascertained by observing the point at which
B.sub.x(y) changes sign.
[0066] Turning next to FIG. 16, a plot 170 illustrates magnetic
flux density B.sub.y(y) in the y-direction as measured by the
magnetometer 38 for a variety of x-direction offset locations for
the first well 12. As above, the first well 12 is located at z=15
m, midway between the drill bit 28 and the insulated gap 34 on the
BHA 26. An ordinate 172 represents magnetic flux density
B.sub.y(y), and an abscissa 174 represents the distance in meters
(m) along the y-direction from the insulated gap 34 on the BHA 26.
Lines 176, 178, 180, 182, and 184 illustrate respectively the
magnitude of magnetic flux density B.sub.y(y) measured along the
y-direction inside the first well 12 for offsets in the x-direction
of 20 m, 10 m, 5 m, 2 m, and 1 m. When the wireline magnetometer 38
in the first well 12 crosses y=0 m, the magnetic flux density
B.sub.y(y) reaches a local maximum 186. Since the point of closest
approach in the y-direction between the first well 12 and the
second well 14 occurs at y=0 m, the point of closest approach may
be ascertained by observing the point at which B.sub.y(y) reaches a
local maximum.
[0067] If the casing 22 of the first well 12 is made of a magnetic
material such as steel, the magnetic flux density B.sub.x(y) will
be attenuated and may not provide sufficient data to be useful.
However, the magnetic flux density B.sub.y(y) is not attenuated by
the casing 20. Thus, when the casing 22 of the first well 12 is
magnetic, the peak amplitude located at local maximum 186 on plot
170 may be used to determine the distance between the two
wells.
[0068] FIG. 17 represents a flowchart 188 for determining the
location and distance of perpendicular wells as depicting in the
well drilling operation 50 of FIGS. 4 and 9-11. In step 190, the
gravity deployed magnetometer 38 is lowered into the vertical well
52 to measure the magnetic field density of the magnetic field 36,
which arises from the electric current 32 on the BHA 26 in the
second well 14. As the magnetometer moves through the vertical well
52 in the y-direction, the magnetic flux densities B.sub.x(y) and
B.sub.y(y) may be observed.
[0069] In step 192, the observed magnetic flux densities B.sub.x(y)
and B.sub.y(y) may be used to determine a point of closest approach
between the second well 14 and the vertical well 52. If the casing
54 on the vertical well 52 is not magnetic, determining the point
at which the magnetic flux density B.sub.x(y) changes sign may
indicate the point of closest approach (i.e., when y=0 m).
Regardless of whether the casing 54 on the vertical well 52 is
magnetic, the magnetic flux density B.sub.y(y) may also indicate a
point of closest approach. As discussed above, the point at which
the magnetic flux density B.sub.y(y) reaches a local maximum
indicates the point of closest approach (i.e., when y=0 m).
[0070] Step 194 of FIG. 17 illustrates that a distance between the
vertical well 52 and the second well 14 at the point of closest
approach may be obtained from the observed magnetic flux density
B.sub.y(y). Through prior experimentation, distances associated
with given values of magnetic flux density B.sub.y(y) may be
obtained and developed into a table or algorithm. By comparing the
observed value of magnetic flux density B.sub.y(y) at the point of
closest approach with the experimental magnetic flux density
B.sub.y(y), the distance between the vertical well 52 and the
second well 14 at the point of closest approach may be
ascertained.
[0071] FIG. 18 depicts a well drilling operation 196 for use when
the second well 14 is not perpendicular to the first well 12. In
the well drilling operation 196, the wireline magnetometer 38
measures the normal and axial components of magnetic field density
(B.sub.n and B.sub..tau.) along a magnetometer trajectory 198. From
observed values of magnetic field density B.sub.n and B.sub..tau.,
distances r.sub.1 and r.sub.2 having respective angles .phi..sub.1
and .phi..sub.2 may be determined at points along the magnetometer
trajectory 198, allowing an accurate establishment of the relative
location between the first well 12 and the second well 14.
Additionally, in a manner similar to that of the flowchart 188 of
FIG. 17, the observed values of magnetic field density B.sub.n and
B.sub..tau. may offer a precise location and distance between the
first well 12 and the second well 14 at a point of closest
approach, as discussed below.
[0072] FIGS. 19 and 20 illustrate plots of magnetic field density
data obtained in the well drilling operation 196 of FIG. 18.
Turning first to FIG. 19, a plot 200 illustrates a normal (i.e.,
perpendicular to the magnetometer trajectory 198) component of
magnetic flux density B.sub.n as measured by the wireline
magnetometer 38 for two possible variations of the trajectory of
the second well 14 relative to the first well 12. An ordinate 202
represents the normal component of magnetic flux density B.sub.n in
units of nanoTesla (nT) and an abscissa 204 represents the distance
in meters (m) along the scan length of the magnetometer trajectory
198 in the first well 12. In the plot 200, line 206 indicates a
magnetometer trajectory from coordinates of (x, y, z)=(5, -20, 40)
to (x, y, z)=(5, 20, 40). Line 208 represents the magnetometer
trajectory 198 from coordinates of (x, y, z)=(10, -20, 40), to (x,
y, z)=(5, 20, 30). Unlike the plot 152 of FIG. 15, the curves of
the plot 200 are not symmetric about the point of closest approach.
This result is expected because lines 206 and 208 illustrate a case
when the magnetometer trajectory 198 of the first well 12 is not
perpendicular to the axis of the second well 14.
[0073] Turning to FIG. 20, a plot 210 illustrates an axial (i.e.,
parallel to the magnetometer trajectory 198) component of magnetic
flux density B.sub..tau. as measured by the wireline magnetometer
38 for the two variations of the trajectory of the second well 14
relative to the first well 12 plotted in FIG. 19. An ordinate 212
represents the axial component of magnetic flux density B.sub..tau.
in units of nanoTesla (nT) and an abscissa 214 represents the
distance in meters (m) along the scan length of the magnetometer
trajectory 198 in the first well 12. In the plot 210, line 216
indicates a magnetometer trajectory from coordinates of (x, y,
z)=(5, -20, 40) to (x, y, z)=(5, 20, 40). Line 218 represents the
magnetometer trajectory 198 from coordinates of (x, y, z)=(10, -20,
40), to (x, y, z)=(5, 20, 30). From the plot 210, line 216 reaches
a maximum value at numeral 220 and line 218 reaches a maximum value
at numeral 222 when the scan length is 20 m. The maxima at numerals
220 and 222 correctly indicate that the point of closest approach
between the two wells occurs when the scan length is 20 m. Hence,
measuring the axial component of magnetic flux density B.sub..tau.
can be used to determine the point of closest approach between the
two wells.
[0074] FIG. 21 represents a flow chart 224 for determining the
relative positions between the first well 12 and the second well 14
for the general case of the well drilling operation 196 of FIG. 18.
In step 226, the normal component of magnetic flux density B.sub.n
and the axial component of magnetic flux density B.sub..tau. are
measured along the magnetometer trajectory 198 in the first well
12. In step 228, relative positions of the first well 12 to the
second well 14 may be determined.
[0075] As indicated in step 230, the determination may take place
by comparing measurements of the normal component of magnetic flux
density B.sub.n and the axial component of magnetic flux density
B.sub..tau. to theoretical models. Such theoretical models may be
based on inverting equation (4), disclosed above. Alternatively, as
indicated in alternative step 232, the measurements of the normal
component of magnetic flux density B.sub.n and the axial component
of magnetic flux density B.sub..tau. may be compared to tables
created using equation (4) and various angles and distances which
may be calculated between the two wells or tables created through
routine experimentation. It should be further noted that in the
general case illustrated by the well drilling operation 196 of FIG.
18, in which the first well 12 and the second well 14 are not
perpendicular, that the alternative mathematical algorithms
described in Published Application US 2007/016426 A1, Provisional
Application No. 60/822,598, application Ser. No. 11/833,032, and
application Ser. No. 11/781,704 may additionally be applied, as
discussed above.
[0076] While only certain features of the invention have been
illustrated and described herein, many modifications and changes
will occur to those skilled in the art. Particularly, though the
invention has been described with examples involving THAI wells and
X-SAGD wells, the techniques may be applied to any relative
orientation between two wells. Moreover, although the invention has
been described involving a wireline magnetometer 38, the
magnetometer could also be deployed in another NWD tool or in a
coiled tubing tool, or in a slick line. It is, therefore, to be
understood that the appended claims are intended to cover all such
modifications and changes as fall within the true spirit of the
invention.
* * * * *