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Class 14 Magnetic, Gravity and Electrical Methods - Notes

Read pp. 67-79

Magnetic Methods

Magnetism has been studied for a very long time in human history.  Early Greek philosophers new about the attraction of iron to a magnet.  The first magnets consisted of a naturally occurring rock called lodestone, a variety of massive magnetite (almost pure iron oxide).  Magnetite is the only naturally occurring mineral with distinctly obvious magnetic properties.  Only a few other minerals have any detectable magnetism.  However, extremely sensitive magnetometers can detect trace magnetism in many different minerals.  Iron, because of its atomic structure, has the greatest tendency to become magnetized or aligned.  Other elements, such as cobalt and nickel, also have lesser tendency to become magnetic.  Any mineral or rock which contains any of these elements is likely be more magnetic.

Magnetism occurs when like poles of adjacent individual atoms are in alignment, creating a “dipole” effect.  Another word for this alignment effect is called “polarization”.  An analogy can be made with the north and south poles of a typical bar magnet.  Poles having the same charge repel each other; poles oppositely charged attract each other.  At extreme temperatures, the vibrations of the atoms cause a loss of alignment, leading to a loss of magnetism.   Experiments have shown this loss of magnetism occurs at a temperature of approximately 550o C (also known as the “Curie point”).

Magnetic Minerals

Magnetic strength of a mineral or rock is therefore a function of two things:  1) the amount of iron, nickel or cobalt, and 2) the amount of alignment which takes place.  The measure of magnetic strength of a mineral or rock is called the “magnetic susceptibility” (Table 14 - 1).  This can be measured qualitatively with a simple magnet by testing the “pull”.  It can also be measured with a “magnetometer”.  The susceptibility of a completely nonmagnetic substance is equal to 0.  The susceptibility of a highly magnetic mineral (such as magnetite) is about 20.  Every mineral has at least some very minor amount of magnetic susceptibility, but for most minerals it is virtually nil.

Rock/Mineral

Magnetic Susceptibility

Rocks

 

Salt

0 – 0.001

Slate

0 – 0.002

Limestone

0.00001 – 0.0001

Granulite

0.0001 – 0.05

Rhyolite

0.00025 – 0.001

Greenstone

0.0005 – 0.001

Basalt

0.001 – 0.1

Gabbro

0.001 – 0.1

Dolerite

0.01 – 0.15

   

Minerals

 

Pyrite

0.0001 – 0.005

Hematite

0.001 – 0.0001

Pyrrhotite

0.001 – 1.0

Chromite

0.0075 – 1.5

Magnetite

0.1 – 20.0

Table 14 – 1.  Magnetic susceptibilities of selected rocks and minerals.

Earth’s Magnetic Field
There is much uncertainty about the origin and nature of the earth’s magnetic field.  A simplistic model is that of a giant bar magnet with a dipole field surrounding it (Figure 14 – 1).  Measurements made of the orientation and strength of the magnetic field in thousands of locations around the earth suggest the bar magnet model, which is roughly spherical and has lines of force plunging into the polar regions, is a good approximation of the real magnetic field.  The earth’s core is thought to be largely made up of molten iron, which might be the source of the field.  Siesmic studies indicate that the inner core is solid and the outer core is liquid.  The inner core is above the Curie temperature, so it cannot contribute to the Earth’s magnetic field.  Modern theories suggest the magnetic field is caused by flow of material in the outer core which generates a flow of electrical current, which probably also contributes to the formation of an electromagnetic field. 
Figure 14 – 1.  Generalized cross section of the simplistic bar magnet model of the Earth’s magnetic field.

Magnetic Instruments

The magnetic instrument we are most familiar with is the compass.  A piece of lodestone suspended from a string will align itself with the earth’s magnetic field.  In the 12th century the Chinese discovered that rubbing a needle against a piece of lodestone will cause the needle to become magnetic.  Later, someone tried suspending the magnetized needle, which led to the creation of the first compass.

A magnetometer is a very complex instrument which measures both the orientation and strength of a magnetic field.  When the magnetic field of a rock sample is measured, the result is actually a measurement of the interaction of the magnetic field of the sample and the magnetic field of the earth.  Sophisticated instruments can be used to separate one from the other.   In the same manner, large bodies of rock under the surf.

Magnetic Surveys

Geophysicists have been able to develop a mathematical model for its shape and intensity, which is called the “magnetosphere”.  It is not a perfect sphere, but instead is an imperfect sphere with many bumps and irregularities, which may be related to the complex movements of the molten iron in the outer core.   

Large bodies of magnetic rocks which are either underground or exposed at the surface also have inherent magnetic fields surrounding them.  These local magnetic fields interact with the earth’s magnetic field, causing abnormal readings which do not fit the magnetoshere model, called “magnetic anomalies”.  In a aerial or ground-based magnetic survey is conducted, the “total” magnetic field is measured and compared with the readings predicted from the magnetoshphere model.  A “magnetic high” is where the measured field strength is higher than the value predicted by the model; a magnetic low is where the measured field strength is lower than the value predicted by the model.  This allows a method to predict the presence of magnetic rocks below the surface.

Strong magnetic anomalies are interpreted to be caused by rocks containing magnetite, pyrrhotite, chromite, or ilmenite, while weaker anomalies may be caused by the presence of less magnetic minerals.  Mafic igneous rocks, such as gabbro, diorite or basalt, are usually the cause of the “magnetic highs”.   Other types of rocks which cause magnetic highs less frequently include skarns, and a few metamorphic rocks like greenstone (metamorphosed basalt).  Felsic igneous rocks (such as granite or rhyolite) and most sedimentary rocks are notably non-magnetic except in rare cases.  These rocks typically cause distinct magnetic lows.  Magnetic lows can be important for mineral exploration because they can be indicative of certain types of alteration.

Gravity Methods

The earth’s gravity field, like the earth’s magnetic field, is an invisible force field.  In the late 1600’s Isaac Newton demonstrated the relationship between the density (or mass) of objects and gravitational attraction between them.  He theorized the gravitational pull between two objects is inversely proportional to the square of the distance between their masses.   In mathematical terms:   F = (G)(m1)(m2) / r2 ,  where F is the force of gravity, m1 and m2 are the masses of the objects, and r is the distance between the centers of the two objects, and G is the “gravitational constant”.  Any two objects have some gravitational force of attraction between them.  The amount of attraction decreases as the distance between the objects increases. 

One might think of the gravitational force field of the earth as vectors radiating outward from its center.  The strength of the field decreases outward along the vectors.  Knowing the distance between the earth’s center and the center of any object on the surface, and knowing the mass of the earth and the object, the gravitational force can be calculated.  It would seem a simple matter to make this calculation, however, it is not quite that simple for two reasons.  First, the earth’s gravitational field is not completely uniform because the earth is not completely round.  The field is proportional to the radius of the Earth (remember “r2” in the equation above). The radius of the earth varies slightly from the poles to the equator (the radius at the equator is 21 km longer than the radius at the poles).  Additionally, the surface of the earth is not smooth, but instead has many topographic irregularities, such as mountains and oceans.  Second, the mass of the earth is not uniform.  The mass of the core (solid iron and nickel) is much greater than the mass of crustal material.  Furthermore, the crustal portion of the earth is made of a wide variety of different rock types, each with a different density depending on its composition.  For example, basalt has a very high density compared to rhyolite. 

Density and Specific Gravity

Density is defined as mass per unit volume.  The density of a substance is directly related to the atomic weight of the element composing it, ie, elements with higher atomic weight can be thought of as being “heavier”.   Another way of stating this is that equal volumes of two different substances have different densities because each different substance has a different mass (ie, atomic weight) and crystal structure.  Measurements of mass can be made in a variety of different units (pounds, grams, etc...), likewise, measurements of volume can also be made in a variety of different units (cubic feet, cubic centimeters, etc...).  Density is most commonly measured in grams/cubic centimeter.

Minerals (or rocks) vary greatly in density, depending on their chemical make up.  Density is such a characteristic property of a substance that it may be used to identify the substance.  Geologists have found it useful to develop a system of comparing densities of different minerals or rocks.  This is done by measuring the “specific gravity”, which is essentially a comparison of the density of the substance to an equal volume of water.   For example, the specific gravity of granite is about 2.7.  This means that a cubic foot of granite, which weighs 168 pounds, is about 2.7 times heavier than a cubic foot of water, which weighs about 62.5 pounds.  Typical rock-forming, silicate minerals, such as quartz and feldspar, have  specific gravity values in the range of about 2.6 to 2.8 (Table 14 – 2).  Specific gravity values of sulfide minerals range from about 5 (pyrite) to 7.5 (galena).  Native metals (gold, platinum, etc...) have very high specific gravities ranging from about 15 to 22. 

Rock Type

Specific Gravity

Mineral

Specific Gravity

Coal

1.2 – 1.5

Sphalerite

3.8 – 4.2

Chalk

1.9 – 2.1

Chalcopyrite

4.1 – 4.3

Salt

2.1 – 2.4

Pyrrhotite

4.4 – 4.7

Serpentinite

2.5 – 2.6

Chromite

4.5 – 4.8

Granite

2.5 – 2.7

Pyrite

4.9 – 5.2

Quartzite

2.6 – 2.7

Hematite

5.0 – 5.2

Limestone

2.6 – 2.7

Magnetite

5.1 – 5.3

Gneiss

2.65 – 2.75

Galena

7.3 – 7.7

Basalt

2.7 – 3.1

   

Gabbro

2.7 – 3.3

   

Peridotite

3.1 – 3.4

   
Table 14 – 2.  Specific gravity values for selected common rocks and minerals.

Gravity Surveys

The standard method of measuring the force of the earth’s gravitational field is to measure the acceleration due to gravity, which was defined by Isaac Newton:  g = (G)(m1) / r2  (where g is the acceleration due to gravity), and F = (m2)(g).  What the formula implies is that an object which is dropped from some height accelerates (increases its velocity) as it falls.  The acceleration can be calculated by measuring the velocity at two different times during the fall.  Likewise, the gravitational force, or gravity field, can be calculated at any specific location on the earth using the same principle.  The  value of the gravity field (acceleration) is directly related to the mass (density) of the earth beneath the station where the measurement is made.  The acceleration is measured with an instrument called a “gravimeter”.  A gravimeter measures the acceleration by sensing the pull by the earth’s gravitational field on a mass suspended from a very sensitive spring.  Gravity measurements made anywhere on the earth vary by only a few percent.  Gravity surveys use the “milligal” or “mgal” (=0.0001 gal.) as the standard unit of measure (named after Galileo).  The acceleration for one “gal” is equal to 1 cm per second per second. 

Gravimeters are used in mineral or petroleum exploration for irregularities in the predicted model of the earth’s gravity field. The gravimeter measures very tiny increases in acceleration, which suggest the presence dense rocks or minerals (such as sulfides or other dense minerals) in the subsurface (Figure 14 – 2).  The values can be plotted either along a profile or on a map (Figure 14 – 3).  Anomalous gravity highs may indicate where basement rocks are closer to the surface, or where fold structures (which may form oil traps) are located in the subsurface. 

Figure 14 – 2.  Gravity anomaly created by dense subsurface rocks.

Figure 14 – 3.  Gravity map of western Alaska (from USGS website).

Gravity Data Reduction
Before the field data is plotted, it must be “reduced”, which is the process of removing effects of local features which mask the true gravity value at any given location.  This brings the measurements to a common imaginary spherical surface called a “geoid”.   If after the corrections are made an anomalous gravity value still exists, then it is considered “real”.  Numerous corrections are made, and only a few of these are described below:

Free Air Correction:  The height above sea level will have an obvious effect on the gravity value, because the higher the elevation (ie, the further from the earth’s center) the lower the gravity measurement will be.  Measurements collected at higher elevations must be corrected with a positive correction factor; lower elevation measurements are corrected with a negative correction factor.

Bouguer Correction:   This correction is also related to elevation.  It accounts for the gravitational attraction of the subsurface by approximating the density of the rocks underlying the station.  It assumes an infinite slab of specified density lies between the station and sea level.  The thickness of the slab is equivalent to the elevation of the station above sea level. This correction can have either a positive or negative effect, depending on the density assumed for the slab. 

Latitude Correction:    As mentioned, the earth is not a perfect sphere.  Instead, its radius is larger at the equator than at the poles.  Polar regions have higher gravity values, so a negative correction is made. 

Terrain Correction:   If a measurement is made at the base of a hill, the mass of the portion of the hill situated  topographically above the station causes an upward pull due to the attraction of the mass of the hill.  Since this counteracts the pull downward by the gravitational field, a negative correction must be made.  Likewise, if a measurement is made adjacent to a depression such as a large valley, a positive correction must be made.

Electrical Methods

Electrical methods are generally referred to as “resistivity surveys”.  Metallic minerals are relatively good conductors of electricity.  In contrast, common rock forming minerals are generally poor conductors.  This fact is the basis for geophysical exploration methods which measure conductivity to evaluate the metal content of rocks.  The methods also provide some limited information about the geometry of the subsurface metallic mineralization.  Surface electrical methods are limited to shallow depths (<500 feet), but the electrical properties of rocks can be measured at much greater depths by using special instruments sent down deep drill holes. 

“Active” electrical methods are those which introduce an artificial electrical field into the ground.  These methods utilize two electrodes placed in the ground and charged to create an electrical current which passes through the ground between them.  The resistance caused by the ground is measured and used to give an indication of the metal content.  “Passive” methods measure current flow related to ‘natural’ electrical currents.  Passive methods measure the electric potentials which develop due to the electrochemical action between minerals and pore fluids.

Native metals, metallic sulfide minerals and graphite are the best mineral conductors (Table 14 – 3).   Rocks containing abundant pore waters are also excellent conductors, in fact without these pore waters, resistivity methods would not be possible.  In general, the abundance and chemical composition of pore waters have a greater influence on conductivity than do metallic mineral grains.  For example, pore waters containing salts (sodium chloride, etc...) are the best conductors of all.  Clay minerals containing slight amounts of moisture are also excellent conductors. 

Common Rocks/Materials

Resistivity

(ohm meters)

Ore Minerals

Resistivity

(ohm meters)

Clay

1 – 100

Pyrrhotite

0.001 – 0.01

Graphitic Schist

10 – 500

Galena

0.001 – 100

Topsoil

50 – 100

Cassiterite

0.001 – 10,000

Gravel

100 – 600

Chalcopyrite

0.005 – 0.1

Weathered Bedrock

100 – 1000

Pyrite

0.01 – 100

Gabbro

100 – 500,000

Magnetite

0.01 – 1,000

Sandstone

200 – 8,000

Hematite

0.01 – 1,000,000

Granite

200 – 100,000

Sphalerite

1000 – 1,000,000

Basalt

200 – 100,000

   

Limestone

500 – 10,000

   

Slate

500 – 500,000

   

Quartzite

500 – 800,000

   

Greenstone

500 – 200,000

   

Table 14 – 3.  Resistivity of common rocks and minerals.

Resistivity Surveys
When two electrodes are placed in the ground and voltage is applied across them, current flows from one electrode to the other.  The source of current is a “transmitter” attached to one of the electrodes.  The other electrode is attached to a “receiver”.  In a homogenous conductor, the electron “flow lines” are perpendicular to the lines along which the potential is constant (Figure 14 - 4).  Zones of abnormally high or abnormally low conductivity cause the current flow lines to become distorted, causing variations from the predicted values.  These variations, or anomalies, can then be mapped out to try to locate buried ore deposits.

Figure 14 – 4.  Geometry of current flow lines and equipotential lines in a vertical section below the surface for voltage generated at stations A and B (from Dobrin, 1976).

Conductivity is the opposite of resistivity, which is essentially the resistance to the flow of electricity.  At a constant voltage, the relationship between resistance and current are expressed mathematically by Ohm’s Law: 
V = I R
where V is the voltage ( in volts), I is the current (in amps), and R is the resistance (in ohms).
The resistance is a function of the composition (metallic or conductive minerals) and physical condition (pore fluids, etc..) of the rock.  Two other factors must be quantified to evaluate the resistivity, including the length (distance between electrodes) and cross-sectional area of the cylindrical-shaped region through which the electrical current is being passed.  Resistivity is expressed by the formula:
                        r = (R)(S) / l
where r is the resistivity (in ohm-meters), S is the unit area of the cylinder cross-section, and l is theunit length of the cylinder.

In practice, several different pairs of electrodes are set up at different spacings, called “d-spacings”.  As the spacing between the electrode pairs increases, the detection depth increases.  In this manner, changes in resistivity with depth can be plotted on a type of cross section called a psuedosection.  This provides a means of mapping out zones of high or low resistivities.  Zones with distinctly high resistivity (low conductivity) may correspond to areas containing abundant quartz or silicification, such as vein deposits.  Zones with distinctly low resistivity may correspond to zones containing abundant metallic sulfides.  The frequency is also varied during the survey.  If metallic minerals are present, the resistivity does not change as the frequency is varied.  If metallic minerals are present, the resistivity varies dramatically as the frequency is varied.

I.P. Surveys

I.P. surveys are a special type of resistivity survey.  Current flowing through the ground causes some rocks to become electrically polarized or “charged” the way a car battery is charged by an alternator when the car is running.  Chargeability is measured by sending a pulsating current through the ground.  This creates an exchange of ions between the mineral grains and surrounding pore fluids.  The exchange actually creates a voltage which acts as a barrier to current flow.  Extra voltage, called “overvoltage” is necessary to drive the current through the barrier.  When the current supply is suddenly stopped, the voltage drops immediately to an intermediate value, and then gradually dissipates.  The behavior is called “induced polarization” or “I.P.”.  Chargeability is related to the ratio of the overvoltage value to the intermediate voltage value, and the lapse time it takes the ground to “uncharge” after the electrical charge is cut off at the transmitter. 

Most modern electrical surveys measure both the resistivity and the chargeability (or “I.P. effect”).  The same equipment and electrode configuration can be used for both types of surveys.  There are at least eight different electrode configurations (or arrays) in use.  High chargeability is usually caused by the presence of metallic or conductive minerals, in contrast to high conductivity, which can be caused be salty pore fluids.  During the 1960’s, the I.P. method was used extensively to search for disseminated sulfide ores (particularly porphyry copper deposits) because of its extreme sensitivity to the presence of low grade disseminated mineralization.

I.P. survey results plot the chargeability values and resistivity values on a pair of psuedosections (Figure 14 - 5).  The values are plotted at regular depth intervals which correspond to the dipole spacing intervals, and along angular projections below the surface.  Color coding and/or contouring of the values used to accentuate the zones of high chargeability.  The values also give an idea of the general dip direction of the conductive or resistive zones. 

Figure 14 – 5.  Psuedo-section showing chargeability values and “pants leg” shaped anomaly typically associated with a shallow conductor (from Milsom, 1996).

Self  Potential Surveys
Self potential is the natural electrical potential which exists in many rocks.  It is caused by electrochemical action between minerals and groundwater solutions.  When this action occurs in the oxidizing zone above the water table, current is generated (Figure 14 - 6).   An ore body containing metallic minerals, acting as a conductor, carries the current downward towards the reducing zone below the water table.  The overall effect is to create a negative potential in the rocks around the ore body as the electrons move downward.  Pyrite (iron sulfide) oxidizes readily to hematite (iron oxide) in the groundwater environment.  Therefore, ore deposits containing pyrite develop very strong negative self potentials.  Other minerals which are known to generate strong negative potentials are pyrrhotite and magnetite.  Lead and zinc sulfides do not develop strong self potential fields.  
Figure 14 – 6.  Current flow and natural self potential field developed around a sulfide ore body (from Dobrin, 1976).