Electrical resistivity tomography

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Electrical resistivity tomography (ERT) is a geophysical method used to image subsurface conductivity without direct measurement. It involves applying a voltage across two terminals and measuring the resulting current to determine total resistance. By varying the positions of the terminals and collecting multiple measurements, a conductivity profile of the subsurface can be constructed. The process requires understanding calculus, electromagnetism, and inverse theory to interpret the data accurately. ERT is valuable for exploring areas like rock formations where drilling is not feasible.
Johntoby
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Hi all,
I have been searching the internet for explanations on the method of ERT, but they are in general extremely complex and contain very specific vocab that I'm not understanding.
Would somebody care to explain to me the method of ERT in language that an A Level student can understand?
Thanks very much
 
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Say you have a "region" where you can't directly measure the conductivity inside. For example, a lump of rock that you don't want to drill into. A voltage is applied across two terminals at the edges, and the current is measured. From that, you know the total resistance between the two terminals. If you do this for a lot of different positions of the terminals, you can build up an image of the conductivity within the rock. Formulating an expression for the predicted current as a function of the terminal voltage/conductivity distribution is the first problem. To estimate the conductivity distribution from measurements of the current, you must solve the inverse of this.

In general you need to know calculus, some electromagnetism and a lot of inverse theory to solve it.
 
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