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GATE-2012 (34)

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GATE-2012
34. For  a three-layered Earth with resistivities ρ1, ρ2, ρ3 and corresponding thickness h1, h2 and h3 respectively, the quantity (h1/ρ1)+(h2/ρ2)+(h3/ρ3) stands 

A) longitudinal conductance
B) transverse resistance
C) apparent conductance 
D) apparent resistance

Answer: A
Explanation: 

Geo- electric layering:

Often the earth can be simplified within the region of our measurment as consisting of a series of horizontal beds that are infinite in extent.

Goal of the resistivity survey is then to determine thickness and resistivity of the layers.


Longitudinal conductance ( one layer) SL = h/ ρ

Transverse resistance ( one layer) Tt = h* ρ

Longitudinal resistivity (one layer ) ρL = h/ SL


Transverse resistivity ( one layer) ρt = Tt/ h


and corresponding thickness h1 For a three-layered earth with resistivities ρ1 h2 and h3 respectively longitudinal conductance the quantity (h1/ρ1)+(h2/ρ2)+(h3+ρ3) stands ρ2 ρ3

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