magnetic+interpretation_09
TRANSCRIPT
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Interpretation of the magneticInterpretation of the magnetic
anomaliesanomalies
Saman Tavakoli
October 2009
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FundamentalsFundamentals
The force between the poles is defined by coulomb as :
F = p1p2/r2 or
is the magnetic permeability of free space (i.e. vacuum)
orWb/(Am). in the SI system and 1 in the cgs
Is the relative permeability of a medium
The magnetic field B due to a pole of strength p1 at a distance r from the pole is
defined as the force per unit positive pole at that point
2
210
4 r
ppF
rTQ
Q!
0Q
7
0104
v! TQ
rQ
2NA
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FundamentalsFundamentals
In actuality, the magnetic field can be either represented by:
H, the magnetic field intensity (A/m, mks-SI; orested, cgs)
- or
B, the magnetic induction (Teslas, SI; gauss, cgs)
1 A/m = 4 x 10-3 oersteds1 Tesla = 104 gauss
1 Gauss = 100,000 nT
B and H are useful when considering a magnetic field inside the magnetic object, but
magnetic field of the earth is measured in none-magnetic media such as air or water,
therefore the equations in free space for H and B are :
At the Earth's surface the total intensity varies from 24,000 nanotesla (nT) to 66,000
nT
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FundamentalsFundamentals
Magnetic susceptibility :Magnetic susceptibility : The degree to which a body becomes
magnetized is determined by its magnetic susceptibility and is the
fundamental parameter in magnetic prospecting.
K for sedimentary rocks :
K for granite and gneiss rocks :
K for intrusive basic rocks :
410
K
431010
"" K
310
"K
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FundamentalsFundamentals
Minerals which are mainly responsible for the magnetic properties of the Rocks :
And Pyrothite87
SFe
Ilmenorutile
TiO2FeOFe2O3 ternary diagram
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FundamentalsFundamentals
3Main classes of the magnetic behavior based on the magnetic susceptibility :3Main classes of the magnetic behavior based on the magnetic susceptibility :
Diamagnetic minerals : the magnetic susceptibility is low and negative to an external magneticfield, normally is masked since is overlain by the stronger paramagnetic or ferromagneticproperties. is independent of the temperature : quartz ,feldspars, salt
Diamagnetic minerals are not able to retain the magnetic properties when the external field isremoved.
Paramagnetic minerals : have low and possitive susceptibilities, minerals containing transitionalelements (Fe, Cu, Zn, Ni, Mn, Cr, Ti ) are paramagnetic. susceptibility varies inversely with thetemperature: pyroxine , olivine and amphibole with susceptibility of
Paramagnetic minerals are not able to retain the magnetic properties when the external field is
removed.
Ferromagnetic minerals : have high possitive susceptibilities and strong magnetic properties : iron, nickel.
They are able to retain their magnetic properties after the external field has been removed.
610
451010
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FundamentalsFundamentals The origin of the Earth's magnetic field is not completely understood, but is thought to be
associated with electrical currents produced by the coupling of convective effects and rotationin the spinning liquid metallic outer core of iron and nickel. This mechanism is termed thedynamo effect.
Elements of the earth magnetic field :Elements of the earth magnetic field :
At any point of the earths surface, the magnetic field can be defined by three vectors and 2angles :
Vectors :1. Horizontal field(H)
2. Vertical field(Z)
3. Total field(T)
Angles :1. Declination (D) : Or magnetic variation is the angle between magnetic meridian and
the geographic meridian
2. Inclination (I) : The angles at which the magnetic vector dips below the horizontal
RelationshipH = T cosIZ = T sinI = H tanIX = H cosDY = H sinD
X and y are North and East geomagnetic fieldsX and y are North and East geomagnetic fieldsrespectivelyrespectively
Magnetic meridianMagnetic meridian
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FundamentalsFundamentals
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FundamentalsFundamentals
The purpose of the magnetic surveying is to identify and describe regions
of the earths crust that have unusual (anomalous) magnetizations.
Magnetic surveying consists of :Magnetic surveying consists of :
1. Measuring the magnetic field at predetermind points
2. Correcting the measurement for known changes
3. Comparing the resultant value of the field with expected value at each
measurement station
The expected value of the field at any place is that ofInternational GeomagneticReference Field(IGRF). The difference between the observed and expected
values is magnetic anomaly
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FundamentalsFundamentals
Measurement methods :Measurement methods :
1. Land : An operator uses a portable magnetometer to measure the magnetic field
at the center of the earth, over a suspected geological structure,slow, but gives
very good detail of the anomalous source since is close to the source
2. Sea : A magnetometer in a waterproof fish is towed behind the ship at the end of
the long cable, since the ship are consisting of thousands ton of steel, they cause
big magnetic disturbance, so the cable must be 100-300m long. The depth of
measurement depends on the speed of ship and length of cable. For 10km/h, 20-
30 meter depth investigation is expected.
3. Air : The most effiecient method of the surveying magnetic anomalies. The
magnetometer must be removed as far as possible from the magnetic
environment of the aircraft
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FundamentalsFundamentals
Magnetic gradiometer :Magnetic gradiometer :
A magnetic gradiometer is an installation comprising two magnetic sensors
oriented either vertically above each other or horizontally beside each other.
Gradients are calculated by subtracting the value of measurements made atone sensor from those made at the next sensor, and dividing by the
distance between sensors.
Why using that?Why using that?1. Removing diurnal effects. Diurnal and other temporal changes
in the magnetic field are eliminated by synchronously taken readings.
2. Resolving complex anomalies related to overlapping sources.
Magnetic gradiometers
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FundamentalsFundamentals
Land
Air
Sea
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FundamentalsFundamentals
a. Constant flight elevation above the sea level
b. A helicpter can keep the distance from magnetic
source as small as possible by flying at constant
height above the surface
c. The usual way of survey along parallel flight lines
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FundamentalsFundamentals
Corrections for the magnetic data :Corrections for the magnetic data :
In comparison to the gravity data, magnetic data require very few corrections
1. Diurnal correction: One effect that must be compensated is variation in intesity of
the geomagnetic field at the earths surface during the day. ( The best solution forits correction is to instal a constantly rocording magnetometer at a fixed base
station within the survey area.)
2. Terrain correction : Topography may give rise to magnetic anomalies. There is no
general rule to do the terrain correction. Normaly, if there is a good correlation
between topography and magnetic anomalies, the anomaly is not very significant!
3. Temperature correction : Older instruments were temperature dependent but in
modern instruments this is negligible. These changes are generally incorporated
into the diurnal correction.
4. Normal Correction : Removal of the International Geomagnetic Reference Field
(IGRF)
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Interpretation of the magneticInterpretation of the magnetic
anomalyanomaly Advantages and disadvantages :Advantages and disadvantages : Disadvantages :Disadvantages :
1. No unique solution is available for an anomaly, similar to gravity interpretation
2. High remanent magnetization lead to difficulties when interpreting magnetic anomalies3. Magnetic susceptibilies can vary within a certain rock type
4. The characteristic of anomalies are dependent of direction of magnetization.
Advantages :Advantages :
1. Cost effective method given the area surveyed.(Both ground and aeromagnetic surveys)
2. The magnetic anomaly have normaly high precision3. Although the earths magnetic fields orientation affect the anomaly, in a certain survey area
even large, is constant, helping geophysicist for interpretation.
4. Since the susceptibility values are small, they can represent specific rock types easier than thegravity anomalies.
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Interpretation of the magneticInterpretation of the magnetic
anomalyanomaly Half-Maximum technique : Considering a slender vertical srtraightforward and bottom far away from observer
For a sphere and a cylinder, total width of an anomaly curve at ZA (magnetic field intensity) max/2
equals the depth to center of sphere and cylinder
766.0
max2/1x
Z !
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Interpretation of theInterpretation of the
magnetic anomalymagnetic anomaly Peters slope method to depth problem :Peters slope method to depth problem :1. Identifying maximum slope on the anomaly curve
2. Creating a line with a one-half slope of maximum slope value
3. Moving the current line until two points of tangency are identified
4. Distance between points of tangency is d
5. The relationship between d and depth to the top
of the prism,z is :
This method assumes :This method assumes :1. Length of prism is great compared to width
2. Depth to prism top is the same as the prism width
3. And prism has infinite length and oriented parallel to
the magnetic meridian
6.1
dZ !
Z=0.3km
1
2,3
4
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Interpretation of the magneticInterpretation of the magnetic
anomalyanomaly
If the magnetic field of theanomalous body at a givenlocation along the profile line isvertical then is a maximum(positive or negative dependingon whether the magnetic fieldreinforces or opposes the Earthsfield) at that location.
If the vertical component of themagnetic field of the anomalous bodyopposes the vertical component ofthe Earths magnetic field along the
profile line, then D Z at that locationhas a negative value.
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Interpretation of the magneticInterpretation of the magnetic
anomalyanomaly a. Magnetic anomaly of a monopole vertical dike :a. Magnetic anomaly of a monopole vertical dike :
We assume the dike is infinite in the depth
So that the dike is a monopol model
The magnetometer mesearues the sum of the
Indcing field and anomalous field
The magnetic anomaly is possitive everywhere here,
increasing from zero far from the dike to maximum
value directly over it
Inducing magnetic fieldInducing magnetic field
Anomalous field of magnetized bodyAnomalous field of magnetized body
Component of anomalous field parallel to inducing fieldComponent of anomalous field parallel to inducing field
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Interpretation of the magneticInterpretation of the magnetic
anomalyanomaly b. Magnetic anomaly of a dipole vertical dike :b. Magnetic anomaly of a dipole vertical dike :
The dike here is finite, as what we see in the real world
The distribution of south poles produce possitive magnetic anomaly
Distribution of the North poles produce negative magnetic anomaly
Close to the dike, the dipole has a component that reinforces
the inducing field, caused a positive central anomaly.
Why the North poless negative anomaly is weaker than the
Possitive anomaly of the South pole ?
Why The negative anomaly of North poles becomes stronger
than the South poles anomaly Right of R and Left of L ?
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Interpretation of the magneticInterpretation of the magnetic
anomalyanomaly Effect of the block width on anomaly shape :
A narrow but extended in depth block gives a sharp possitive anomaly(a)
For a body in which its width is considerably large compared to its depth,
South and North poles distribution is equal, so the possitive anomaly isalmost zero, near the edge of block, the effect of South
pole is larger than that of North(d)
The observed dip in the middle of the anomaly
is due to the depth of the block, if it wasinfinitely deep, the effect of North pole would
be missing and the anomaly would look
flat-topped!
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Interpretation of the magneticInterpretation of the magnetic
anomalyanomalyExample of upward continuationExample of upward continuation (Blue line)(Blue line)
Initial anomaly
1500 m upward continuation
2500 m upward continuation
3500 m upward continuation
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Interpretation of the magneticInterpretation of the magnetic
anomalyanomalyExample of downward continuationExample of downward continuation (Blue line)(Blue line)
Initial anomaly
100m downward continuation
200m downward continuation
300m downward continuation
1500m downward continuation,
Look at the sharp anomalies,Is this anomaly reliable ?
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Useful linksUseful links
The geomagnetic calculator : http://williams.best.vwh.net/magvar.htm