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Lecture 15 Resistivity-GPR
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Death Valley Basin
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Furnace Creek Fault
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Resistivity SYSCAL R1 Plus – resistivity meter for medium-depth exploration can be used for: geological mapping groundwater exploration
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Put 48 stainless steel electrodes in the ground every five meters
Attach the electrodes to the cable with clips Press start on the box
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Ohm’s Law + - Battery current resistance + - V I R
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Resistivity Double length double R Double area halve R R proportional to length/area Area current length
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Archie’s law
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Wenner Array a=2πa ΔV/I Ohm’s law V=IR Apparent resistivity
Voltage (V) Current (I) Resistance (R) a=2πa ΔV/I Electric Sounding Shallowest = a Deepest = spacing*(round down((number of electrodes -1) /3))
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Field Data
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Theory r1 r2 V I r3 r4
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Wenner array
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Two Layer Model Wenner Spread
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Mtlab Program for 2 Layer Resistivity
%Resistivity function from Pages 529 Telford et al., Applied Geophysics %Second Edition clear f aarray=x; %meters rho1=a(1); rho2=a(2); z=a(3); k=(rho2-rho1)/(rho2+rho1); %Equation 8.38 for i=1:length(aarray); aa=aarray(i); m=1:10000; D=sum( k.^m./((1+(2*m*z./aa).^2).^0.5) )-sum( k.^m./((4+(2*m*z./aa).^2).^0.5) ); rhoa=rho1*(1+4*D); f(i)=rhoa; end figure(1) plot(log10(aarray),log10(f),log10(aarray), log10(y),'*')
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Pseudosections Roughly how resistivity varies vertically and laterally
Electrical imaging creates ‘true’ section using tomographic theory
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Turkey Flat Modeled Resistivity
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Middle Mountain Resistivity
Line 1 Line 2 Two resistivity lines were laid out for Middle Mountain The anomaly colored yellow is most likely the water table dammed by the faults From the 1st line to the 2nd line the water table increases in size likely due to the increase in distance between the fault splays
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Furnace Creek Fault
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SAF Splay Map view Model to explain increase in size of water table
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