ERTH 4121
Gravity and Magnetic Exploration
Session 4
Introduction to magnetics - 2
Lecture schedule (subject to change)
Minimum 10 x 3 hour lecture sessions: 1:30pm Tuesdays
Aug 2 : 1. Introduction to gravity method 1
9: 2. Introduction to gravity method 2
16: 3. Introduction to magnetics method 1
23: 4. Introduction to magnetics method 2
[1st assignment]
Sept 13 : 5. Gravity forward modelling
20: 6. Magnetics forward modelling
[Term break]
Oct 4: 7. Introduction to inversion 1
Oct 7?: 8. Introduction to inversion 2
Oct 11: 9. Gravity inversion
Oct 18: 10. Magnetics inversion
1st Assignment
ERTH4121: Gravity & Magnetic Exploration
Assignment #1: Gravity & magnetic principles
Distributed: 23rd August, 2011
Due: 1.30pm, 22nd September
Late submission: 20% deducted per day
VPmg inversion software
Download v6 from www.fullagargeophysics.com
Install password is topper
Send Physical Address (PA) to [email protected]
for licence key
Physical Address is displayed at a C:\ command prompt
when IPCONFIG\ALL is entered
If more than one PA, send the Ethernet PA
Documentation in C:\Program Files\Fullagar\VPmg
• Review
• Poisson‟s relation
• Magnetic response of a uniform layer
• Magnetic response of a sphere
• Self-demagnetisation
• Magnetic susceptibility of igneous rocks
• Effect of inclination and declination
• Depth rules
• Image processing examples
Topics – Magnetics Session 2
The Geomagnetic Elements
The Earth‟s magnetic
field is a vector in space
• declination, D – angle of
horizontal component, clockwise
from true north
• inclination, I – angle of
vector from horizontal, positive
down. Inclination is negative in
southern hemisphere.
Magnitude of B also known as ?
Most instruments measure ? outright.
Units and Conversion
Susceptibility k (SI) = ? k (cgs)
Magnetic induction, B 1 nanoTesla (SI) = ? gamma (cgs)
1 nT = 10-9 T
Magnetic field, H defined in ? (SI)
Magnetisation, M defined in ? (SI)
Survey
Techniques
• employ a base station
magnetometer
• at least three profiles
across target
• profiles normal to strike
• data spacing less than half the smallest
wavelength
• ground clearance as low as is safe
• try to ensure survey extent sufficient to define
regional context
Brownfields Exploration Day 3 – Practical 1 9
Survey Line Orientation • Airborne and ground magnetic data
are most commonly collected with lines
oriented perpendicular to the main strike
direction – difficult decision in areas with
multiple structures.
• When data is gridded, information is
averaged in the along-line direction and
interpolated in the cross line direction.
• In diamond exploration magnetic
surveys are usually oriented sub-parallel
to the local magnetic declination
irrespective of regional geology. This is
done to ensure that the dipolar nature of
discrete kimberlite anomalies is
recognised.
KEA300 Geophysical Mapping – Lecture 3 10
Line Spacing One of the major factors that affects the resolution of airborne
magnetic data is line spacing.
For 50m lines (10m
grid mesh )most of
the major geological
features are well
resolved
For 100m lines (20m
grid mesh ) the NW
striking dykes break
up into a series of
discrete bullseye
anomalies
For 200m lines (40m
grid mesh ) the two
dykes in the central
south of the image
appear as a single
anomaly
Brownfields Exploration Day 3 – Practical 1 11
Sampling interval • The spacing between measurements defines the
smallest feature that can be detected in a survey.
• According to the sampling theorem the shortest
wavelength that can be properly defined is twice
the sample spacing (Nyquist wavelength).
• However, to better define a complex anomaly a much smaller
sample spacing is necessary (generally < 0.25 of the anomaly width).
• Short wavelength features
that are inadequately sampled
are aliased and appear in the
dataset as longer wavelength
features. In magnetic surveys
aliasing occurs in the X-line
direction.
1m uniform sampling 10m uniform sampling
Data Reduction Diurnal Correction - subtract data from
base station magnetometer Tie Line Levelling - remove „corrugation‟
effects
Parallax correction –
remove „herring bone‟
effects Reduction to Pole –
converts the magnetic
field to appear as it
would at the north
magnetic pole
Poisson
Relation
Potential of a magnetised body
0
3
0
000 1
).(4
)( rdrr
rMrUV
where is the gradient with respect to the
interior position vector,
If the magnetisation is uniform, then
0
0r
0r
r
O
P
)( 0rM
0
3
0
0 1.
4)( rd
rrMrU
V
GmM
4
0
where denotes the directional derivative in the
direction of , and where is the gravitational
potential of the volume, with uniform density .
m /M
Magnetic response of an infinite
horizontal layer
For an infinite horizontal layer of uniform
density, the gravity response is
hGgz 2
According to Poisson’s Relation, the magnetic
potential is equal to the component of gravity
in the direction of magnetisation =>
where is the z-component of .
The magnetic induction is
Therefore, the magnetic induction from a uniformly
magnetised layer is ?
hGmUB z 2
zz gmU
zm m̂
Gravity response of a uniform sphere Let a denote the radius of the sphere and its density. Apply
Gauss’ Theorem to any concentric sphere, with radius R > a:
Invoke Poisson’s Equation:
where M is the total mass of the sphere. Hence, sphere’s
gravity is
But this is just the gravity due to a point mass (Newton’s Law).
In view of Poisson’s Relation, what are the likely implications
for the magnetic response of a uniform sphere?
2R
GMgr
r
SV
gRdsngdvg 24ˆ
VV
GMdvGdvg 44
Magnetic response of a uniform sphere
By Poisson’s Relation, magnetic potential is gravity in the
direction of magnetisation. Arbitrarily assume magnetisation in
z-direction. For a cylindrical coordinate system (z,r), the z-
component of gravity is
Invoking the Poisson Relation, the magnetic
potential is potential for the sphere is
where m is the magnetic moment of the sphere. But this is just
the magnetic potential of a z-oriented dipole!
2/3222cos
rz
zGM
R
GMg z
2/322
00
44 rz
zm
G
g
V
mU z
[magnetisation=moment/unit volume]
Self-demagnetisation
Consider an infinite horizontal layer of uniform
susceptibility in a magnetic field,
everywhere
0H
For the pillbox straddling
the upper boundary,
dsBndvBSV
ˆ0
0z
0 B
0H
0H
1H
z
In the limit as ,
Thus, inside the layer, the magnetic field orthogonal to the
layer boundaries is reduced:
k is the susceptibility
0ˆ1100
HHdsBnS
k
HHH
1
00
1
01
Normal B is
cts at bdry
0H
0H
1H
0H
1H
1H
Self-demagnetisation
Self-demagnetisation occurs inside all magnetised bodies.
However, for induced magnetisation, it is negligible if
susceptibility is weak, say k < 0.1
The effect of self-demagnetisation is to reduce the strength
of magnetisation orthogonal to the surfaces of the body.
The component of magnetisation
parallel to the surfaces is not
affected. Therefore, the net
magnetisation is rotated, to
become “more nearly parallel” to
the body surfaces.
Brownfields Exploration Day 3 – Lecture 2 19
Melt Composition • The initial iron content of a silicate melt provides a crude measure
of its potential to crystallise magnetite
granitic melt 2-3% FeO (felsic)
andesitic melt 3-7% FeO (intermediate)
basaltic melt 7-9% FeO (mafic)
ultrabasic melt 9-12% FeO (ultramafic)
• Unaltered ultrabasic rocks often have lower magnetic
susceptibilities than basic rocks despite their higher iron content.
• This is primarily due to the greater availability of Mg and the
tendency for the iron to be partitioned into paramagnetic Fe-Mg
silicates.
Brownfields Exploration Day 3 – Lecture 2 20
Crystallisation Environment • The physiochemical environment controls how the iron in the melt
is partitioned into oxide, sulphide and silicate phases
• three main factors influence this process:
1. silica saturation
2. sulphur availability
3. oxidation state
Silica Saturation Low silica rocks generally have higher magnetic susceptibilities than
high silica rocks with the same total iron content
high silica - Fe Fe, Fe-Mg Silicates
low silica - Fe Fe oxides
Brownfields Exploration Day 3 – Lecture 2 21
Sulphur and Oxygen In an igneous rock the stable iron-bearing phase will be determined
by the interplay of temperature, sulphur and oxygen availability.
low oxygen and high sulphur availability sulphide minerals
high temperature and high sulphur pyrrhotite
high oxygen and low sulphur oxide minerals
Brownfields Exploration Day 3 – Lecture 2 22
Oxygen Availability Oxidation state is the most important factor that influences the main
oxide and sulphide phases and hence magnetic susceptibility.
Oxidation state is commonly indicated by the ratio of Fe3+ to Fe2+
low oxidation ratios Fe, Fe-Mg Silicates
intermediate oxidation ratios magnetite + silicates
high oxidation ratios haematite + ilmenite + silicates
Brownfields Exploration Day 3 – Lecture 2 23
Oxygen Availability Most igneous and meta-igneous rock suites display bimodal magnetic
susceptibility distributions due primarily to differences in oxidation
state during crystallisation that control the partition of Fe into
ferrimagnetic and paramagnetic minerals.
Conventional lithological
nomenclature for igneous
rocks is not well suited to
magnetic mapping as it is
mainly based on major mineral
species whereas the magnetic
properties are controlled by
the minor mineral phases.
Ishihara‟s (1977) classification of granitoids into ilmenite series
and magnetite series suites based on the oxidation state of the
magma is a more appropriate scheme for magnetic mapping than
the I and S sub-divisions of Chappell and White.
Brownfields Exploration Day 3 – Lecture 2 24
Metamorphism & Deformation • Metamorphism can have dramatic effects on magnetic properties
but the details are complicated and the creation or destruction of
magnetite depends on the interplay of a number of parameters
including P, T, and the presence of fluids.
• Deformation in the absence of hydrothermal fluids tends to
increase the grainsize of magnetite, thus increasing the magnetic
susceptibility but reducing its capacity to retain remanence.
• The original Fe content and the oxidation state during deposition
and diagenesis have a major bearing on the development of
magnetite during metamorphism.
• The iron content of pelitic [fine grained] material is usually higher
than psammitic [sandstone] rocks and hence magnetite formation
during metamorphism tends to occur more commonly in metapelites
than metapsammites.
Interpretation
Qualitative e.g. interpretation of imagery
Semi-quantitative e.g. Rules of Thumb for
approximate estimates of
width or depth to the top of a
source; Euler deconvolution
Quantitative e.g. modelling & inversion
ERTH4121
Brownfields Exploration Day3 - Lecture 3 26
• The aim of qualitative magnetic interpretation is to extract
lithological, stratigraphic and structural information that can be used
to produce an improved geo-magnetic map.
Qualitative Interpretation
KEA230 Lecture G5
Inclination EW Dyke - i = -72 degrees
• The gravity anomaly of a vertical
symmetrical body is always
symmetrical and is not affected by
latitude since the gravity field is always
vertical.
• Variations in inclination (and
declination) of the Earth’s magnetic
field significantly affect the form of an
induced magnetic anomaly.
• Induced magnetic anomalies are
generally bipolar with the negative
anomaly component located on the
“polewards” side.
Gz
TMI
Top - 5m Bottom - 205m
KEA230 Lecture G5
Inclination
Gz
TMI
Top - 5m Bottom - 205m
EW Dyke - i = -40 degrees
Gz
TMI
Top - 5m Bottom - 205m
EW Dyke - i = -10 degrees
KEA230 Lecture G5
Inclination • The bipolar nature of the induced
magnetic anomaly of a body in an
inclined field can also be
understood in terms of the pole
distribution on the surface of the
body.
• In this case poles are distributed
on the sides of the body in addition
to the top and bottom surface.
• The total anomaly is the sum of
the anomalies due to the poles on
each of the four sides.
KEA230 Lecture G5
TMI - i=-72
Top - 5m Bottom - 305m
Inclination
The magnetic anomaly at the
pole for a shallow body with
significant depth extent is
unipolar.
TMI - i=90
Top - 5m Bottom - 305m
At Hobart’s magnetic inclination
the anomaly for the same body is
bipolar with a low on the
southern side.
KEA230 Lecture G5
Inclination
At the magnetic inclination of
northern Australia (~-40)
magnetic anomalies have
roughly equal positive and
negative components
At an inclination of -10 degrees
(Indonesia) the position of the
body is marked by the magnetic
low.
TMI - i=-40
Top - 5m Bottom - 305m
TMI - i=-10
Top - 5m Bottom - 305m
Shape as a function of latitude
60o N 30o N Equator
30o S 60o S South Pole
KEA230 Lecture G5
Inclination • Interpretation of magnetic
anomalies at low magnetic latitudes
is complicated by the displacement
of the positive component of the
anomaly away from the body
• This displacement increases as
the depth to the top of the body
increases.
• A mathematical transformation
process called reduction to the pole
can correct for this displacement and
is commonly used to produce
images for qualitative interpretation
TMI - i=-10
Top - 100m Bottom - 400m
KEA230 Lecture G5
Declination TMI - i=-60 d=20W
Top - 100m Bottom - 400m
TMI - i=-60 d=20E
Top - 100m Bottom - 400m
• The anomaly low is always located on the magnetic pole side of the
body.
• Variations in declination hence affect the location of the low on most
maps which have grids directed close to true rather than magnetic north.
KEA230 Lecture G5
TMI - i=-72 d=14E
Top - 100m Bottom - 400m
Remanence • Measured magnetic anomalies are
due to the vector sum of magnetisation
induced in the body by the ambient
magnetic field and remanent
magnetisation preserved in the rock.
• In most cases induction is the
dominant mode of magnetisation but in
some cases remanence is more
significant, producing anomalies with
unexpected form.
• It is generally not possible to accurately infer the direction and
magnitude of remanence from field measurements alone since the
geometry of the body is usually not known. Laboratory measurements are
normally required.
KEA230 Lecture G5
Depth Extent E-W striking dyke - i = 90 degrees
TMI
Gz
Top - 5m Bottom - 2005m
TMI
Gz
Top - 5m Bottom - 305m
KEA230 Lecture G5
TMI
Top - 5m Bottom - 305m
Gz
Top - 5m Bottom - 305m
Depth Extent Prism - i = 90 degrees
The upper surface of the body
controls the shape of the
magnetic anomaly
The gravity anomaly is broader
due to the effect of mass at depth
KEA230 Lecture G5
TMI
Gz
Top - 5m Bottom - 105m
Depth Extent E-W striking dyke - i = 90 degrees
Top - 5m Bottom - 15m
TMI
Gz
KEA230 Lecture G5
Top - 5m Bottom - 15m
TMI
Gz
Thin Sheet Thin sheet - i = 90 degrees
• The gravity anomaly reaches a
plateau near the centre of the sheet.
• If the sheet is extensive and uniform
then its only effect would only be a
shift in the gravity base level.
• Magnetic anomalies only occur
above the margins of the sheet. The
field near the centre of the sheet is
close to the base level.
• Small irregularities in the upper
surface of the sheet usually result in
high frequency anomalies.
KEA230 Lecture G5
TMI
Top - 5m Bottom - 15m
Thin Sheet Thin Sheet - i = 90 degrees
Bipolar magnetic anomalies are
apparent around the edge of the
thin sheet.
The gravity anomaly in this case
more closely reflects the shape
of the causative body.
Gz
Top - 5m Bottom - 15m
Brownfields Exploration Day3 - Lecture 3 41
Estimating Depth • As the depth of a magnetic source increases, the anomaly amplitude
decreases and the width (or wavelength) increases.
• There are a number of “Rules of Thumb” that can be applied to
quickly approximate the depth to a magnetic source from simple
measurements of the shape of an anomaly.
X 1/2
The Half Width of the anomaly
x½ is the width of the anomaly at
half its maximum amplitude
(or half the width at half maximum
amplitude in some texts)
SS
The Straight Slope of the
anomaly SS is the horizontal
distance over which the gradient
of the anomaly is linear.
depth
depth
depth
Effects of depth on anomaly width
Brownfields Exploration Day3 - Lecture 3 43
Profile Selection
• For detailed analysis, choose
profiles that pass through the
centre of the anomaly,
oriented perpendicular to the
strike of the anomaly.
• Regional trends must be
removed from the profile
before analysis.
• Profiles derived from grids
are OK for general analysis but
detailed modelling should be
checked against the original
located data if possible.
Brownfields Exploration Day3 - Lecture 3 44
Depth
Rules
depth to top
depth to top
Brownfields Exploration Day3 - Lecture 3 45
Depth
Rules
depth to centre
depth to top
KEA230 Lecture G5
TMI
Gz
Top - 5m Bottom - 205m Top - 20m Bottom - 220m
TMI
Gz
Depth to Top EW Dyke - i = 90 degrees
KEA230 Lecture G5
TMI
Gz
Top - 80m Bottom - 280m Top - 200m Bottom - 400m
TMI
Gz
Depth to Top EW Dyke - i = 90 degrees
~ 1/z3
~ 1/z2
KEA230 Lecture G5
Halfwidth • As source depth increases, so
does the width of the anomaly
• Halfwidth is defined as half
the width of the anomaly at half
its maximum amplitude
• Rules of thumb can be used
to estimate source depth from
halfwidth measurements.
• For example, for gravity
anomaly of a sphere, the depth
to centre is ~1.3 x the halfwidth
of the anomaly.
KEA230 Lecture G5
TMI
Gz
Top - 5m Bottom - 205m
Dipping Dyke EW Dyke - i = 90 degrees
• A dipping geological feature will
produce both an asymmetrical
gravity and magnetic profile.
• The degree of asymmetry of the
profile reflects the dip of the body.
• The steeper gradient on the
anomaly occurs in the up dip
direction.
Brownfields Exploration Day3 - Lecture 3 50
Estimating Dip • Qualitative estimation of body dip is most easily carried out on
reduced to the pole data since the additional effects of magnetic
inclination on profile shape have already been removed.
• The anomaly gradient is more gentle on the down-dip side due to
the presence of magnetic material in the subsurface.
Brownfields Exploration Day3 - Lecture 3 51
Dip and Orientation
KEA300 Geophysical Mapping – Lecture 3 52
3D Model The following slides illustrate processing and enhancement of a
simulated areomagnetic dataset for a 3D geological model including a
variety of magnetic source geometries and magnetisations.
deep high k source
folded low k stratigraphy
vertical dips
early high k dykes
induced magnetisation
late high k dykes
reversed magnetisation
magnetite orebodies
KEA300 Geophysical Mapping – Lecture 3 53
Located Data After preliminary processing by the contractor, raw magnetic data is
provided in the form of an ASCII located data file in which coordinate
and other information is provided for each magnetic reading.
5827 1 220804 31456.50 1600 429979.9 5338600.4 159.2 83.6 48674.9
5828 1 220804 31456.75 1600 429990.0 5338599.9 158.8 83.5 48670.8
5829 1 220804 31457.00 1600 429999.9 5338600.4 158.5 83.3 48666.6
5930 1 220804 31487.25 1550 427999.8 5338550.5 158.2 83.1 48448.3
5921 1 220804 31487.50 1550 428010.0 5338549.5 157.9 82.9 48451.8
5922 1 220804 31487.75 1550 428019.5 5338550.0 157.6 82.7 48455.7
5923 1 220804 31488.00 1550 428029.5 5338550.3 157.3 82.5 48459.9
5924 1 220804 31488.25 1550 428040.1 5338549.8 156.9 82.3 48464.5
fid
uc
ial
flig
ht
da
te
tim
e (
s)
lin
e
ea
sti
ng
(m
)
no
rth
ing
(m
)
ele
va
tio
n (
m)
Ra
da
r a
lt.
(m)
TM
I (n
T)
The located data must first be processed to remove line artefacts and
other effects and then gridded to produce images and contour maps.
KEA300 Geophysical Mapping – Lecture 3 54
Flight Path & Stacked Profiles
The flight path plan is used to
visualise the geometry of the
survey. In this case there are
50m spaced E-W flight lines and
500m spaced N-S tie lines
Stacked Profiles allow
assessment of data quality and
signal characteristics and are
helpful in semi-quantitative
anomaly interpretation
KEA300 Geophysical Mapping – Lecture 3 55
Gridding Gridding involves interpolation of magnetic values from the original
flight lines onto a regular grid.
Spline gridding techniques are the best methods for interpolating line-
based data. Other algorithms may not correctly interpolate linear
features. The grid mesh size is usually somewhere between 1/3 and
1/6 of the flight line spacing.
KEA300 Geophysical Mapping – Lecture 3 56
Levelling Levelling is the process used to remove artefacts parallel to flight
lines due to heading errors, parallax errors and level shifts between
survey segments.
• Tie line levelling adjusts the flight line values to match the tie line
values at their intersection point.
• Micro-levelling makes final small-scale adjustments to the data to
remove residual errors.
KEA300 Geophysical Mapping – Lecture 3 57
Grid
Display
contours greyscale
pseudocolor pseudocolor + contours
KEA300 Geophysical Mapping – Lecture 3 58
Contrast Enhancement
Linear Contrast Stretch Histogram Equalisation
KEA300 Geophysical Mapping – Lecture 3 59
Inclination and Declination
• When the Earth‟s field
is vertical, induced
magnetic anomalies
have a simple unipolar
form
i=-90 i=-72 d=14
i=-45 d=3 i=-10 d=-20
•If the field is inclined,
anomalies from the
same geological body
have a more complex
form
• These variations in
anomaly form
significantly complicate
qualitative interpretation
Brownfields Exploration Day3 - Practical 2 60
Filters • Filters can be used to modify the value of a pixel in an image
based upon the variations in the surrounding pixels.
• Low Pass Filters smooth out local variations to reveal an
underlying trend
• High Pass Filters reveal local variations, by ignoring the
regional trends in the dataset
• Directional filters are used to highlight local features in an
image which trend in a particular direction.
• Filtering of potential field data can be conducted in either the
space domain or the spatial frequency domain. Some operations
such as continuation, vertical derivatives or reduction to the pole
are best conducted in the spatial frequency domain while others
are accurate and efficient in the space domain.
Brownfields Exploration Day3 - Practical 2 61
Filtering
x
Filter
Function
Space
Input
TM
I
Distance
FFT-1
Output
TM
I
Distance
Spatial Frequency
FFT
Frequency
Am
pli
tud
e
=
Am
pli
tud
e
Frequency
=
* Filter
Kernel
Convolution
Brownfields Exploration Day3 - Practical 2 62
Space-Domain Filtering • In the space domain filtering is achieved by convolution of the
image with a filter kernel.
• The value in the image under the centre of the kernel is replaced
by the sum of each of the elements of the kernel multiplied by their
corresponding image elements. The kernel is moved to all possible
positions across the image.
2 3 3 4 2 7
4 8 3 5 6 7
2 3 4 5 7 8
2 4 5 6 6 7
3 5 5 2 8 9
4 2 4 7 7 9
5 4 5 6 7 8
Input Image
3.6 4.2 4.3 5.7
3.9 4.8 5.2 6.3
3.7 4.3 5.3 6.4
3.8 4.4 5.6 6.8
4.1 4.4 5.7 7.0
Filtered Image
1 1 1
1 1 1 x 1/9
1 1 1
Filter Kernel
KEA300 Geophysical Mapping – Lecture 3 63
Reduction to the Pole Reduction to the pole (RTP) is a mathematical transformation that
converts induced magnetic data for any inclination or declination to
the anomaly pattern that would be observed at the pole (I = 90)
RTP RTP RTP
• The RTP transform is
routinely applied to
magnetic images for
qualitative
interpretation
• The RTP transform works
well for inclinations >10º
• RTP images should not be
used for quantitative
interpretation
KEA300 Geophysical Mapping – Lecture 3 64
Model Data – TMI no RTP In the TMI image for the 3D model the NW striking dykes are marked
by both positive and negative anomalies. The positive anomalies due
to the ore bodies occur a short distance north of their causative
bodies. The broad positive anomaly due to the deep source is
positioned well north of the body.
i=-47º d=8º
KEA300 Geophysical Mapping – Lecture 3 65
TMI
i=-47º d=8º
Model Data – RTP TMI
• After RTP transformation, the NW dyke anomalies are unipolar and
the orebody anomalies are translated to the south.
• The broad anomaly due to the deep source is now repositioned
directly over the source.
• The EW dyke anomalies are still somewhat bipolar as they reversely
magnetised
RTP
TMI
RTP
KEA300 Geophysical Mapping – Lecture 3 66
Upward Continuation • If a magnetic or gravity field is measured on a surface above the
causative bodies then it is possible to recalculate the field at a higher
elevation by a mathematical process called upward continuation.
i=-45
large
deep
body
small
shallow
body
similar
amplitudes
i=-45
Up 50m
KEA300 Geophysical Mapping – Lecture 3 67
Upward Continuation
RTP TMI up 50m
• The dykes are still
visible with upward
continuation of 50m
up 200m up 500m
• The dykes
disappear at 200m
and at 500m the
main effect is from
the deep body
• Upward
continuation
highlights large
deep sources and
attenuates the
effects of shallow
features.
KEA300 Geophysical Mapping – Lecture 3 68
Residual Grids
RTP TMI up 50m
-
residual
=
• One way to highlight the near surface features is to calculate a
residual grid by subtraction of the smoothed upward continuation
grid from the original TMI data.
• This process of removing a regional effect to highlight residual
features (regional-residual separation) is very commonly applied to
gravity data but can also be effective for magnetic datasets.
KEA300 Geophysical Mapping – Lecture 3 69
Downward Continuation
RTP TMI down 5m
down 10m
• It is also possible
to downward
continue a gravity or
magnetic dataset
onto a surface that
lies below the
original observation
surface.
down 15m
• This process
enhances the
contribution of
near-surface
features but
becomes unstable if
data is continued
down too far.
KEA300 Geophysical Mapping – Lecture 3 70
Horizontal Derivatives • One simple way to enhance the
high frequency component (small-
scale detail) of an image at the
expense of the large amplitude
features is to calculate a horizontal
derivative or difference image. TMI
1HD
peak 1HD over
maximum TMI
gradient
+
-
1HD zero at
TMI max
• For grids, horizontal
derivatives are
calculated by
convolution with a
filter kernel.
1 1 1
0 0 0
-1 -1 -1
N-S
gradient
(sunangle)
kernel RTP TMI N-S Gradient
KEA300 Geophysical Mapping – Lecture 3 71
Horizontal Derivatives
1 1 1
0 0 0
-1 -1 -1
N - S
1 1 0
1 0 -1
0 -1 -1
NW - SE
1 0 -1
1 0 -1
1 0 -1
E - W
0 1 1
1 0 1
-1 -1 0
NE - SW
KEA300 Geophysical Mapping – Lecture 3 72
Vertical Derivatives • Vertical derivatives can be
directly measured by placing two
magnetic sensors one above the
other and measuring the difference
between the two instruments. This
method is often used for shallow
investigations (archaeology).
• An alternative would be to repeat a survey with a single instrument at
two different heights but this is time-consuming and expensive.
• Fortunately, because magnetic and gravity fields can be upward
continued (Laplace‟s Equation), it is possible to calculate the vertical
derivative (or any derivative) from measurements on a single surface.
• Since the magnetic effects of small, near surface features decrease
more rapidly with increasing elevation than the effects of deep
sources, shallow features are enhanced by vertical derivatives
TMI
sensors
vertical
gradiometer
KEA300 Geophysical Mapping – Lecture 3 73
1st Vertical Derivative • Vertical derivatives have some
significant advantages when
compared to horizontal derivatives.
• The peak vertical derivative lies
directly over the TMI peak (zero
crossing for horizontal derivatives)
•The vertical derivative is not
directional and has the effect of
equally enhancing features in all
directions
• The first vertical derivative is
probably the most commonly used
enhancement of TMI data for
interpretation of near-surface
geological features.
KEA300 Geophysical Mapping – Lecture 3 74
Higher Order Derivatives • It is also possible to calculate
higher-order derivatives (derivatives
of derivatives) to further enhance
near-surface features but as the order
of the derivative increases, noise is
progressively enhanced. TMI
1VD
2VD
2nd vertical
derivative
E-W horizontal
derivative of 1st
vertical
derivative
KEA300 Geophysical Mapping – Lecture 3 75
Composite Images
The image of RTP TMI
shows the range of
amplitudes present in
the data but due to
the high dynamic
range of the data
does not show the
small-scale features
RTP TMI 1VD
High-pass filter
images (derivatives
etc) highlight the
small scale
features but do not
show the amplitude
range
RTP TMI + 1VD
Blending the TMI
and the high pass
images produces
an image that
shows anomaly
amplitude and also
highlights small-
scale features.
Brownfields Exploration Day3 - Practical 2 76
Automatic Gain Control • Automatic Gain Control AGC is
a technique commonly applied in
signal and seismic processing to
reduce the dynamic range of a
signal so that small features
appear as significant as major
features .
• The AGC process involves varying the signal amplification for the
central sample in a moving window based on the variation in
amplitude within the window.
• Window length is the main parameter that affects the results of
the AGC process and the “best” window length varies between
datasets due to the characteristics of the data.
• Small windows may over-enhance signal noise while very large
windows have little or no effect.
AGC
TMI
Brownfields Exploration Day3 - Practical 2 77
AGC
7x7 15x15
23x23 31x31
• AGC filters are non-
directional.
• Amplitude
information is lost as
all anomalies are
displayed with equal
prominence.
• AGC image show
ALL features in an
image but may appear
messy and confusing
due to the loss of
amplitude information
Brownfields Exploration Day3 - Lecture 3 78
Multi-scale Edges (Worms) • The wavelet transform converts gravity (or reduced to the pole
magnetics) into a form where edges due to physical property
contrasts can be easily identified.
• The wavelet transform process is equivalent to taking the horizontal
derivatives of upward continuations of the gravity or magnetic data.
gravity
• The shape and
amplitude of edge
clusters in 3D is
diagnostic of the
original source
geometry.
• Edges are identified
from maxima and
minima for successive
upward continuations.
Brownfields Exploration Day3 - Lecture 3 79
Multi-scale Edges (Worms)
Edges (worms) can
be displayed in
plan view. Small
scale edges
shallow features,
large scale deep
If edges at each
scale are plotted at
different elevations
their shape is
diagnostic of
contact dip
Examples of edges
for different
geological models
Brownfields Exploration Day3 - Lecture 3 80
Multi-scale Edge Examples
Western Australia
(gravity)
Kambalda
(magnetics)
Brownfields Exploration Day3 - Lecture 3 81
Euler Deconvolution • This is an automated technique that can be applied to either gravity
or magnetic data to directly estimate the subsurface position of
sources of a particular type with no subjective input.
• The output consists of clusters of source solutions in 3D
The source type is
specified by a “structural
index” (N)
N=0 – contact
N=1 – dyke or sill
N=2 – vertical pipe
N=3 – sphere or dipole
Brownfields Exploration Day3 - Lecture 3 82
RTP TMI
Interpretation Guidelines
• Use a variety of enhancements
of the magnetic dataset, don‟t
base your interpretation on a
single image.
• Take particular care with
images that enhance features in a
specific direction such as
horizontal derivatives.
• Use reduced to the pole data
for qualitative interpretation
where possible, even in areas
with relatively steep magnetic
inclination
N-S Gradient
RTP TMI + 1VD
1. Magnetic Datasets
Brownfields Exploration Day3 - Lecture 3 83
Interpretation Guidelines 2. Geological Data
• First compare the magnetic
imagery to the available
geological data (maps, drill data).
• Look for areas where magnetic
anomalies correspond to mapped
units.
• Look for magnetic variations
within mapped units that might
indicate geological variations.
• Look at the signatures of
mapped structural features
(faults, folds, dykes).
Brownfields Exploration Day3 - Lecture 3 84
Interpretation Guidelines 3. Magnetic Units
• Mark thin stratigraphic or structural
units as “worms”
• Remember – the width of the anomaly
is always greater than the width of the
body.
• Mark unit boundaries at gradient
maxima.
• Indicate breaks in continuity that may
mark structures or alteration
• Identify and mark large units based
on shape, amplitude, contact
relationships and texture.
• Indicate texture within units using
form lines.
Brownfields Exploration Day3 - Lecture 3 85
Interpretation Guidelines 4. Linear Structures
• Draw structures after magnetic
lithologies
• Look for breaks in continuity of
lithological features or sharp linear
boundaries that may mark faults.
• Faults may have no magnetic
expression or be zones of magnetite
creation or destruction.
• Linear magnetic anomalies that
cross-cut stratigraphy are mostly
dykes.
• Mark lineaments even if their origin
is not clear.
Brownfields Exploration Day3 - Lecture 3 86
Interpretation Guidelines 5. Dip and Depth
• Estimate body dips from the
asymmetry of the magnetic profile
(class as: vertical, steep, intermediate,
shallow).
• Use anomaly form and wavelength to
differentiate near-surface from deep
features.
• Wide shallow features typically have
steep edges, deep features have more
gentle gradients.
• Interpret fold dip and plunge and
mark fold axes.
• Use “rules of thumb” or 2D/3D
modelling to more accurately estimate
depths.
KEA300 Geophysical Mapping – Lecture 3 87
Acknowledgement
Dr. M. Roach
Geophysical Mapping
Magnetic Data Processing
And Enhancement
KEA300 Geophysical Mapping – Lecture 3 88
References
Fullagar, P.K., Hughes, N.A., and Paine, J., 2000, Drilling-constrained
3D gravity interpretation: Exploration Geophysics, 31, 17-23.
Fullagar, P.K., Pears, G.A., Hutton, D., and Thompson, A., 2004, 3D
gravity and aeromagnetic inversion for MVT lead-zinc exploration at
Pillara, Western Australia: Exploration Geophysics, 35, 142-146.
Fullagar, P.K., and Pears, G.A., 2007, Towards geologically realistic
inversion: Exploration ‟07, Fifth Dicennial Conference on Exploration,
Toronto.
Fullagar, P.K., Pears, G.A., and McMonnies, B., 2008, Constrained
inversion of geological surfaces - pushing the boundaries: The
Leading Edge, 27, 98-105.
Brownfields Exploration Day 3 – Lecture 2 89
• Magnetic Susceptibility(k) is dimensionless and relates the intensity
of magnetisation (M) to the intensity of the inducing field (H) M=kH
• Magnetite is the most magnetic and most widespread magnetic
mineral magnetic maps show the 3D distribution of magnetite
• Magnetic susceptibility distributions for a single rock unit are
commonly lognormal use geometric rather than arithmetic mean
• Susceptibility distributions for broad rock classes are commonly
bimodal
• Melt composition and crystallisation environment control the
distribution of magnetite in igneous rocks.
•
Summary
KEA300 Geophysical Mapping – Lecture 3 90
• Aeromagnetic data can be acquired as drape or barometric surveys
• Located data is gridded to produce images and contour maps for
interpretation. Grid mesh size 1/3 to 1/6 of the flight line spacing
• Heading errors produce artefacts parallel to flight lines that are
removed by tie line levelling and microlevelling.
• The reduction to the pole transformation simplifies qualitative
interpretation by transforming magnetic anomalies to the form they
would have at the magnetic pole.
• Upward continuation recalculates the magnetic field to a new surface
above the original measurement surface, enhancing deep magnetic
sources at the expense of shallow features.
• Derivatives are simple but effective methods for enhancing the high
frequency (shallow) components of a magnetic image.
• Horizontal derivatives are directional and produce a zero crossing at
the peak of the TMI anomaly. Vertical derivatives are not directional
and have a peak above the TMI anomaly.
Summary
KEA230 Lecture G5
Review • The Earth’s magnetic field comprises a number of constituent fields
including the dipole and non-dipole fields, the crustal field and a variety of
fields of external origin.
• Magnetic exploration seeks to isolate the crustal field from the other
components.
• Magnetic measurements are made using magnetometers.
• Fluxgate magnetometers are vector instruments that record the component
of the field parallel to the axis of the coils within the instrument.
• Proton precession magnetometers measure the total magnetic intensity by
recording the period of precession of protons due to the Earth’s field in a
sensor after an initial period of polarisation.
• Optically pumped magnetometers employ quantum principles to record the
total magnetic intensity. They are more accurate and can sample much faster
than PPMs.
Brownfields Exploration Day 3 – Lecture 2 92
• The magnetic susceptibility of sedimentary rocks is usually low
• Magnetite may be either created or destroyed during the various
stages of regional and contact metamorphism.
• Thermoremanent magnetisation is the only form of remanent
magnetisation that is significant from an aeromagnetic perspective.
• TRM is most significant for fine grained igneous rocks and is seldom
preserved in coarse rocks such as granites
• In some cases the effects of TRM can be recognised in aeromagnetic
data from anomalies with unusual polarity, symmetry or extreme
amplitude.
Summary
KEA230 Lecture G5
Summary • Magnetic anomalies are typically bipolar due to the dipolar nature of
magnetic phenomena.
• Anomalies are symmetrical at the pole but become more asymmetrical
with decreasing magnetic inclination
• The width (halfwidth) of an anomaly provides a crude measure of the
depth to the magnetic source. Narrow anomalies are due to near-surface
features while broad anomalies result from bodies at depth.
• Magnetic fields decrease more rapidly with increasing depth than gravity
fields.
•The Earth‟s main magnetic field is strong and vertical at the poles
and weak and horizontal near the equator.
• Raw magnetic data is corrected to remove diurnal variations and
the IGRF field to reveal the pattern of crustal magnetisation