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Ohm’s Law - LSU Geology & Geophysics Ohm’s Law Resistance and Resistivity Darcy’s Law and...
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1 Ohm’s Law Resistance and Resistivity Darcy’s Law and Ohm’s Law • q = -k(dh/dl) – k = hydraulic conductivity – h = head – l = distance • i = (1/R)ΔV/L ΔV = difference in potential over distance L R = Resistance (inverse of conductivity)
Transcript of Ohm’s Law - LSU Geology & Geophysics Ohm’s Law Resistance and Resistivity Darcy’s Law and...
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Ohm’s Law
Resistance and Resistivity
Darcy’s Law and Ohm’s Law
• q = -k(dh/dl)– k = hydraulic conductivity– h = head– l = distance
• i = (1/R)ΔV/LΔV = difference in potential over distance LR = Resistance (inverse of conductivity)
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R = r(l/A) = 1.7e-8*(20/3.14*(0.005)2)
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Current Penetration is a function of separation of current electrodes
Current Penetration is a function of separation of current electrodes
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3 Layer Models
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Suppression and Equivalence
Horizontal Survey across a Vertical Interface
Vertical Survey across a Vertical Interface
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Vertical Dike
Channel is Similar to Vertical Dike Model
Field Methods
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Field Methods
Resistivity of Earth Materials
Curve Matching
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Equivalence and SuppressionModel 1 – 3 m, 10 Ohm-m
10 m, 100 Ohm-minf., 1 Ohm-m
Model 2 - 3 m, 10 Ohm-m20 m, 50 Ohm-minf., 1 Ohm-m
Model 1 – 1 m, 10 Ohm-m1 m, 40 Ohm-m1 m, 10 Ohm-m7 m, 40 Ohm-minf., 1 Ohm-m
Model 2 - 1 m, 10 Ohm-m13 m, 20 Ohm-minf., 1 Ohm-m
3D survey of Stream Channel(6.1 m spacing)
Leachate Plumes
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Air Filled Cavern/Limestone(a = 30.48 m)
Horizontal Survey of Faults (a = 30.48 m)
