[0001] The present invention relates to a method of determining an azimuth angle of a borehole
formed in an earth formation using magnetometer tool arranged in a drill string extending
longitudinally in the borehole. During drilling of a borehole in an earth formation
it is generally desirable to check the borehole course by measuring the inclination
and azimuth of the borehole at regular intervals. The borehole inclination can be
determined using accelerometer measurements in the borehole and the Earth gravity
field as a reference. The borehole azimuth is determined using a package of magnetometers
included in the Bottom Hole Assembly (BHA) of the drill string. The magnetometers
are operated to measure the components of the local magnetic field from which the
borehole azimuth is determined using the Earth magnetic field as a reference. In many
instances however the measured local magnetic field includes, apart from the Earth
magnetic field components, components attributable to drill string magnetisation.
In order to obtain sufficiently accurate azimuth data it is required that such drill
string magnetisation effects are taken into account.
[0002] EP-A-0 193 230 discloses a method of determining azimuth of a borehole formed in
an earth formation using a magnetometer package included in a drill string extending
into the borehole, wherein the effect of drill string magnetisation is taken into
account by first eliminating the effect of cross-axial drill string magnetisation
prior to eliminating the influence of axial drill string magnetisation. The cross-axial
drill string magnetisation is eliminated by taking so-called rotational shots, i.e.
by measuring the local magnetic field at different rotational locations of the magnetometer
tool and determining the cross-axial drill string magnetisation from the magnetic
field data thus obtained. The axial drill string magnetisation is computed from the
measured magnetic field and from the Earth magnetic field. Once the measured magnetic
field has been corrected for cross-axial and axial drill string magnetisation, the
borehole azimuth is determined from the corrected field and from the Earth magnetic
field which is generally known for most places on Earth. The computed azimuth however
is very sensitive to inaccuracies in the Earth magnetic field data, especially in
case of highly inclined boreholes extending substantially in east or west direction.
[0003] US 5 435 069 discloses a method of determining an azimuth angle of a borehole formed
in an earth formation using a magnetometer tool arranged in a drill string extending
in the borehole, the magnetometer tool having a selected orientation relative to the
drill string, the method comprising
a) selecting at least two locations along the borehole;
b) for each selected location, arranging the drill string in the borehole such that
the magnetometer tool is positioned at the selected location and operating the magnetometer
tool so as to measure a component of a local magnetic field along an axis having a
selected orientation relative to the magnetometer tool, the local magnetic field including
the earth magnetic field and a drill string magnetisation field;
c) determining from the measurements and from the selected borehole inclinations,
a contribution from the drill string magnetisation field to the measured components;
d) correcting the measurements for said contribution from the drill string magnetisation
field; and
e) determining from the corrected measurements, the borehole azimuth, wherein step
c) comprises solving a set of unknown parameters from a set of equations.
[0004] It is an object of the invention to provide an improved method of determining azimuth
of a borehole, which method is less sensitive to inaccuracies in the Earth magnetic
field data even for highly inclined boreholes extending substantially in east or west
direction.
[0005] In accordance with the invention there is provided a method of determining an azimuth
angle of a borehole formed in an earth formation using a magnetometer tool arranged
in a drill string extending in the borehole, the magnetometer tool having a selected
orientation relative to the drill string, the method comprising
a) selecting at least two locations along the borehole at which the borehole has selected
different borehole inclinations;
b) for each selected location, arranging the drill string in the borehole such that
the magnetometer tool is positioned at the selected location and operating the magnetometer
tool so as to measure a component of a local magnetic field along an axis having a
selected orientation relative to the magnetometer tool, the local magnetic field including
the earth magnetic field and a drill string magnetisation field;
c) determining from the measurements and from the selected borehole inclinations,
a contribution from the drill string magnetisation field to the measured components;
d) correcting the measurements for said contribution from the drill string magnetisation
field; and
e) determining from the corrected measurements, the borehole azimuth.
[0006] The contribution from the earth magnetic field to each measured component along the
axis of selected orientation is different for the different borehole locations because
the drill string, and therefore also said axis, is oriented differently relative to
the earth magnetic field at the different locations. On the other hand, the contribution
from the drill string magnetisation field to the measured component is the same for
the different borehole locations because the orientation of said axis relative to
the drill string magnetisation field does not change. Since the orientation of said
axis is directly related to the orientation of the drill string and therefore to the
borehole inclination, the contribution from the drill string magnetisation field to
the measured component can be determined from the difference between the measured
components at the different locations and from the different borehole inclinations
at the different locations. An example of such determination is presented in the detailed
description below.
[0007] Preferably said component of the local magnetic field is the axial component of the
local magnetic field, which is the component in axial direction of the drill string.
It is to be understood that the contribution from the drill string magnetisation field
to the cross-axial component (if any at all) of magnetic field generally is an order
of magnitude smaller than the axial contribution. Therefore, for most applications
it is sufficiently accurate to disregard such cross-axial contribution. Alternatively,
the measured magnetic field can be corrected for a cross-axial contribution from the
drill string magnetisation field prior to step c).
[0008] The method can suitably be applied for a borehole of which the longitudinal axis
at the selected locations is substantially located in a vertical plane.
[0009] For most applications it is sufficient to select two said locations of different
borehole inclination.
[0010] For enhanced accuracy in applying the method of the invention, the borehole inclinations
at at least two of said locations differ from each other by an angle of at least 40°.
[0011] In case the borehole inclination at a first one of the locations is less than 45°
it is preferred to determine the contribution to the axial components attributable
to drill string magnetisation from the vertical component of the Earth magnetic field.
If furthermore the drill string magnetisation at the first location is different than
at a second one of the locations, e.g. due to different Bottom Hole Assemblies, the
borehole inclination angle at the second location is suitably between 80°-100°.
[0012] Conversely, in case the wellbore inclination at the first location exceeds 45° it
is preferred to determine the contribution to the axial components attributable to
drill string magnetisation from the horizontal component of the Earth magnetic field.
If furthermore the drill string magnetisation at the first location is different than
at the second location, the borehole inclination angle at the second location is suitably
between 0° and +10°.
[0013] The invention will be described further in more detail and by way of example with
reference to the accompanying drawings in which
Fig. 1 shows a horizontal plane of the (N,E,V) coordinate system;
Fig. 2 shows a vertical plane through line H of the coordinate system of Fig. 1;
Fig. 3 shows a borehole-fixed coordinate system (HS, HSR, z) and a tool-fixed coordinate
system (x,y,z).
[0014] In Fig. 1 is shown the horizontal N-E plane of the North (N), East (E), Vertical
(V) coordinate system, wherein line H is a projection in the N-E plane of the longitudinal
axis of a borehole 10 (Fig. 3) and angle A indicates the borehole azimuth. It is to
be understood that angle A may vary along the length of the borehole. B
N represents the horizontal vector component of the earth magnetic field.
[0015] In Fig. 2 is shown a vertical plane through line H. Line T represents the longitudinal
axis of the borehole and angle I the borehole inclination which varies along the length
of the borehole. B
v represents the vertical vector component of the earth magnetic field and B
n.cos A is the projection of the horizontal component of the earth magnetic field on
line H.
[0016] In Fig. 3 is shown a cross-sectional view of the borehole 10, a co-ordinate system
(HS, HSR, z) fixed to the borehole 10 and a co-ordinate system (x, y, z) fixed to
a magnetometer tool (not shown) for measuring the components of a local magnetic field
B in the (x, y, z) co-ordinate system. The magnetometer tool is fixedly arranged in
a drill string (not shown) extending through the borehole, therefore the (x, y, z)
co-ordinate system can be thought of as being fixed to the drill string. The HS-,
HSR-, x-, and y-axes extend in the transverse plane of the borehole at point P whereby
the x-, y-axes are rotated relative to the HS-, HSR-axes about an angle α which is
referred to as the tool-face angle. The z-axis extends in longitudinal direction of
the borehole 10. The drill string is furthermore provided with an accelerometer tool
(not shown) for measuring the components of the earth gravity field
G in the (x, y, z) co-ordinate system.
[0017] During normal operation the magnetometer tool measures the components B
x, B
y, B
z of the local magnetic field vector
B and the accelerometer tool measures the components G
x, G
y, G
z of the gravity field vector
G while the drill string is kept stationary. The tool-face angle α and the inclination
angle I are determined from the equations:



wherein
GHS is the component of G in HS-direction;
Gv is the (known) component of G in V-direction.
From the measured magnitudes of B
x, B
y, B
z and from the tool face angle α, the components of
B in the (HS, HSR, z) co-ordinate system are determined thus yielding the local magnetic
field vector (B
HS, B
HSR, B
z). These components include contributions from the earth magnetic field and from drill
string magnetisation. Denoting the earth magnetic field vector by (B
HSe, B
HSRe, B
ze) and the drill string magnetisation vector by (C
HS, C
HSR, C
z) the local magnetic field vector is

The cross-axial contributions from drill string magnetisation are then determined
and eliminated from the magnetic field vector, for example by means of a "rotational
shot" whereby a number of surveys are taken at various rotational angles of the magnetometer
tool in the borehole as described in EP-A-0 193 230. After such elimination the local
magnetic field vector is

The sum of the vertical components of B
HSe and B
ze is equal to the vertical component B
v of the magnetic field (B
HSRe has no vertical component), thus yielding

and from eq. (5)

By operating the magnetometer tool at two borehole locations with different inclinations
I1 and
I2 two local magnetic field vectors (B
HS1, B
HSR1, B
z1) and (B
HS2, B
HSR2, B
z2) are obtained, and from eq. (6) it follows


Axial drill string magnetisation depends primarily on the magnetic properties of
the BHA, not on borehole inclination. Therefore it is considered that at least as
long as the BHA is not changed:

Equations (7), (8), (9) contain the unknowns B
v, C
z1 and C
z2. The inclinations I
1 and I
2 are known from measurements using one or more accelerometers included in the drill
string. It is found that

from which C
z is determined.
The local magnetic field at each point can now be corrected for axial drill string
magnetisation.
[0018] The above approach is preferred for low borehole inclinations, i.e. inclinations
less than 45°, because C
z then is relatively insensitive to variations in borehole inclination.
[0019] For borehole inclinations beyond 45° the following approach is preferred.
[0020] The sum of the components of B
HSe and B
ze in direction H is equal to the component of the earth magnetic field in direction
H, thus yielding

or

For two points with respective inclinations I
1, I
2 and azimuth A
1, A
2 it follows that


The HSR components of the local magnetic field, corrected for cross-axial drill string
magnetisation as described above, for the two points are


From eqs. (13) - (16), and with C
z1 = C
z2 = C
z (e.g. for unchanged BHA), it follows that

[0021] Eq. (17) is a quadratic expression in C
z with generally two solutions for C
z. The solution which gives a horizontal magnetic field component closest to the expected
horizontal magnetic field component is to be selected from the two. The local magnetic
field at each point can then be corrected for axial drill string magnetisation.
[0022] If different BHA's are used during the measurements at the different survey points
C
z1 is generally not equal to C
z2. Therefore it is preferred that for the low inclination mode, i.e. when using eq.
(10), at least one survey point is at a borehole inclination between 80°-100°, preferably
about 90°, because then one of the components C
z1 cos I
1 or C
z2 cos I
2 in eqs. (7), (8) substantially vanishes.
[0023] Similarly, it is preferred that for the high inclination mode, i.e. when using eq.
(17), at least one survey point is at a borehole inclination between 0° and +10°,
preferably about 0°, because then either C
z1 sin I
1 or C
z2 sin I
2 in eq. (17) substantially vanishes.
[0024] Instead of using two survey points as described above, more than two survey points
can be used to correct for axial drill string magnetisation.
1. A method of determining an azimuth angle of a borehole formed in an earth formation
using a magnetometer tool arranged in a drill string extending in the borehole, the
magnetometer tool having a selected orientation relative to the drill string, the
method comprising:
a) selecting at least two locations (1, 2) along the borehole;
b) for each selected location, arranging the drill string in the borehole such that
the magnetometer tool is positioned at the selected location and operating the magnetometer
tool so as to measure a component of a local magnetic field (B) along an axis having a selected orientation relative to the magnetometer tool, the
local magnetic field including the earth magnetic field (Be) and a drill string magnetisation field (C);
c) determining from the measurements and from the selected borehole inclinations,
a contribution from the drill string magnetisation field (C) to the measured components;
d) correcting the measurements for said contribution from the drill string magnetisation
field (C); and
e) determining from the corrected measurements, the borehole azimuth (A), characterized in that the borehole has selected different borehole inclinations (I1, I2) at said at least two locations, wherein said component of the local magnetic field
(B) is the axial component of the local magnetic field, wherein for the borehole inclination
at a first one of said locations being less than 45°, step c) comprises determining
the contribution from axial component of the drill string magnetisation from the relationship:

and wherein for the borehole inclination angle at the first location exceeding 45°,
step c) comprises determining the axial component of the drill string magnetisation
from the relationship:

in which relationship the subscripts x, y, z indicate components in a tool fixed
coordinate system, and the subscripts HS, HSR, z indicate components in a borehole
fixed coordinate system.
2. The method of claim 1, wherein the longitudinal axis of the borehole at the selected
locations is substantially located in a vertical plane.
3. The method of claim 1 or 2, wherein the borehole inclinations at at least two of said
locations differ from each other by an angle of at least 40°.
4. The method of claim 1, wherein the drill string magnetisation for the magnetometer
tool at the first location is different than for the magnetometer tool at the second
location, and wherein the borehole inclination angle at the second location is between
80°-100°.
5. The method of claim 1, wherein the drill string magnetisation for the magnetometer
tool at the first location is different than for the magnetometer tool at the second
location, and wherein the borehole inclination angle at the second location is between
0° and +10°.
1. Verfahren zur Bestimmung des Azimutwinkels eines in einer Erdformation gebildeten
Bohrloches unter Anwendung eines Magnetfeldstärke-Meßgerätes, welches in einem sich
in dem Bohrloch erstreckenden Bohrstrang angeordnet ist, wobei das Magnetfeldstärke-Meßgerät
eine ausgewählte Orientierung bezüglich des Bohrstranges hat, wobei das Verfahren
umfaßt:
a) Auswählen zumindest zweier Orte (1, 2) entlang des Bohrloches;
b) Anordnen des Bohrstranges im Bohrloch für jeden ausgewählten Ort, derart, daß das
Magnetfeldstärke-Meßgerät an dem ausgewählten Ort angeordnet ist, und Betätigen des
Magnetfeldstärke-Meßgerätes, um eine Komponente des örtlichen Magnetfeldes (B) entlang
der Achse mit einer ausgewählten Orientierung bezüglich des Magnetfeldstärke-Meßgerätes
zu messen, wobei das örtliche Magnetfeld das Erdmagnetfeld (Be) und ein Bohrstrangmagnetisierungsfeld (C) umfaßt;
c) Bestimmen eines Anteiles des Bohrstrangmagnetisierungsfeldes (C) an den gemessenen Komponenten aus den Messungen und aus den ausgewählten Bohrlochneigungen;
d) Korrigieren der Messungen für den Anteil des Bohrstrangmagnetisierungsfeldes (C); und
e) Bestimmen des Bohrlochazimutes (A) aus den korrigierten Messungen, dadurch gekennzeichnet, daß das Bohrloch an den zumindest zwei Orten ausgewählte unterschiedliche Bohrlochneigungen
(I, I2) aufweist, wobei die Komponente des örtlichen Magnetfeldes (B) die axiale Komponente
des örtlichen Magnetfeldes ist, wobei der Schritt c) für die Bohrlochneigung kleiner
als 45° an dem ersten der Orte das Bestimmen des Anteiles der axialen Komponente der
Bohrstrangmagnetisierung aus der Beziehung umfaßt:

und wobei Schritt c) für den 45° überschreitenden Bohrlochneigungswinkel an dem ersten
Ort das Bestimmen der axialen Komponente der Bohrstrangmagnetisierung aus der Beziehung
umfaßt:

wobei in der Beziehung die Indizes x, y, z Komponenten in einem gerätefesten Koordinatensystem
angeben und die Indizes HS, HSR, z Komponenten in einem bohrlochfesten Koordinatensystem
angeben.
2. Verfahren nach Anspruch 1, wobei die Längsachse des Bohrloches an den ausgewählten
Orten im wesentlichen in einer vertikalen Ebene angeordnet ist.
3. Verfahren nach Anspruch 1 oder 2, wobei sich die Bohrlochneigungen voneinander an
zumindest zwei der Orte durch einen Winkel von zumindest 40° unterscheiden.
4. Verfahren nach Anspruch 1, wobei sich die Bohrstrangmagnetisierung des Magnetfeldstärke-Meßgerätes
an dem ersten Ort von der des Magnetfeldstärke-Meßgerätes an dem zweiten Ort unterscheidet,
und wobei der Bohrlochneigungswinkel an dem zweiten Ort zwischen 80° und 100° ist.
5. Verfahren nach Anspruch 1, wobei sich die Bohrstrangmagnetisierung des Magnetfeldstärke-Meßgerätes
an dem ersten Ort von der des Magnetfeldstärke-Meßgerätes an dem zweiten Ort unterscheidet,
und wobei der Bohrlochneigungswinkel am zweiten Ort zwischen 0° und +10° ist.
1. Procédé pour déterminer l'angle d'azimut d'un puits foré dans une formation de terrain
en utilisant un outil de magnétométrie agencé dans un ensemble de tubes de forage
qui s'étend dans le puits foré, l'outil de magnétométrie présentant une orientation
sélectionnée par rapport à l'ensemble de tubes de forage, le procédé comprenant les
étapes qui consistent à :
a) sélectionner au moins deux emplacements (1, 2) le long du puits foré,
b) en chaque emplacement sélectionné, agencer l'ensemble de tubes de forage dans le
puits foré de manière à positionner l'outil de magnétométrie à l'emplacement sélectionné
et faire fonctionner l'outil de magnétométrie de façon à mesurer la composante du
champ magnétique local (B) le long d'un axe qui présente une orientation sélectionnée par rapport à l'outil
de magnétométrie, le champ magnétique local comprenant le champ magnétique terrestre
(Be) et le champ magnétique (C) de l'ensemble de tubes de forage,
c) à partir des mesures et des inclinaisons sélectionnées du puits foré, déterminer
la contribution du champ magnétique (C) de l'ensemble de tubes de forage aux composantes mesurées,
d) éliminer des mesures ladite contribution du champ magnétique (C) de l'ensemble de tubes de forage et
e) déterminer l'azimut (A) du puits foré à partir des mesures corrigées,
caractérisé en ce que le puits foré présente des inclinaisons (I
1, I
2) sélectionnées différentes en au moins deux emplacements, ladite composante du champ
magnétique local (B) étant la composante axiale du champ magnétique local, l'inclinaison
du puits foré en un premier desdits emplacements étant inférieure à 45°, l'étape c)
comprenant la détermination de la contribution de la composante axiale de la magnétisation
de l'ensemble de tubes de forage à partir de la relation :

et
en ce que, lorsque l'angle d'inclinaison du puits foré au premier emplacement dépasse 45°,
l'étape c) comprend la détermination de la emplacement dépasse 45°, l'étape c) comprend
la détermination de la composante axiale de la magnétisation de l'ensemble de tubes
de forage à partir de la relation :

dans laquelle les indices x, y et z représentent les composantes dans un système
de coordonnées fixé sur l'outil et les indices HS, HSR et z représentent les composantes
dans un système de coordonnées fixé sur le puits foré.
2. Procédé selon la revendication 1, caractérisé en ce qu'aux emplacements sélectionnés, l'axe longitudinal du puits foré est essentiellement
situé dans un plan vertical.
3. Procédé selon la revendication 1 ou la revendication 2, caractérisé en ce que les inclinaisons du puits foré en au moins deux emplacements diffèrent l'une de l'autre
d'un angle d'au moins 40°.
4. Procédé selon la revendication 1, caractérisé en ce que la magnétisation de l'ensemble de tubes de forage est différente pour l'outil de
magnétométrie au premier emplacement et pour l'outil de magnétométrie au second emplacement
et en ce qu'au second emplacement, l'angle d'inclinaison du puits foré est compris entre 80 et
100°.
5. Procédé selon la revendication 1, caractérisé en ce que la magnétisation de l'ensemble de tubes de forage est différente pour l'outil de
magnétométrie au premier emplacement et pour l'outil de magnétométrie au second emplacement
et en ce qu'au second emplacement, l'angle d'inclinaison du puits foré est compris entre 0 et
10°.