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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