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Electromagnetic Surveying
Lecture 16 Electromagnetic Surveying
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Chapter 13 Induced Polarization IP and Self-Potential SP
IP charge stored in an ore when a current flows, it decays when current is turned off SP small voltages (potentials) generated naturally
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IP Conducting ores in non conducting matrix
As current flows electrons pass through conducting grain, but delays occur. When I=0, acts as a capacitor that discharges with time + -
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Chargeability
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Shallow , massive pyrrhotite
Body (FeS) ore in steeply dipping sheets
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Chapter 14 Electromagnetic methods
frequency f=1/T=1/period
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BASIC PHYSICS Thumb in direction of I Fingers curl in direction of B (1) (2) B
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Magnetic field threading an conductor
Bp=Bprimary Bp=Bprimary Bs=Bsecondary Emf=>IS Bs Bp Currents (eddy) are setup in the conductor that Try to cancel B. But if there is resistance they are out of phase and do not perfectly cancel.
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Ohm’s Law for AC field
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Phase Phasor Advanced in phase cos(wt+Ф) Ф In phase cos(wt)
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VR resistance V VL Voltage in inductor Leads voltage in Resistor by 90 degrees Total voltage leads Current by Ф Inductor V VL Ф VR
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Magnetic versus non magnetic
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Decay of electromagnetic radiation with depth in earth due to eddy currents
High frequency Low frequency
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GPR at Parkfield 2006
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Velocity in air>velocity in ground
Gives rise to a critically refracted ray at the surface Critical angle obeys Snell’s law Sin(ic)=v1/v2 Direct air wave always arrives first.
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Ground Penetrating Radar
f=100 Mhz V=0.3c=1x108 m/s=0.1 nm/s lambda=108/108=1m. zs=500sqrt(20/108)=0.22 meters
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EM wave in air Refracted wave Reflected wave
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Steel at 6.9 meters distance?
x h
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func.m for GPR Hyperbola
% these are in nanosecs gpr5=[ ]; %v=0.3 m/ns in air %a=[ ]; y=gpr5; xx=[62.5:2.5:82.5]; x0=a(1); v=a(2); z=a(3); x=xx-x0; f=2/v*sqrt(x.^2+z^2); plot(x,f,x,y,'*') figure(1); xlabel ('Distance, (m)') ylabel('Time (ns)') title('GPR Line 5 hyperbola') text(-5,80, ['depth ',num2str(a(3)),' v= ',num2str(a(2))])
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Very Low Frequency method (VLF)
Portable f=23 KHz used skin depth several hundred m compared with GPR Used to contact submarines Antennas Hawaii, Maine, Portland, Moscow, France etc.
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