Solution Exercise 5
Calculate the apparent resistivity in the following arbitrary electrode configuration when a 5 mA current is injected between electrodes A and B, and 80 mV is measured between M and N.
[latex]\displaystyle K_{g}=\frac{2\pi }{\frac{1}{\overline{AM}}-\frac{1}{\overline{AN}}-\frac{1}{\overline{BM}}+\frac{1}{\overline{BN}}}[/latex]
[latex]\displaystyle =\frac{2\pi }{\frac{1}{2\mathrm{m}}-\frac{1}{3\mathrm{m}}-\frac{1}{4\mathrm{m}}+\frac{1}{3\mathrm{m}}}[/latex]
[latex]\displaystyle =25.1\mathrm{m}[/latex]
| ρa | = | Kg(ΔV/I) |
| = | 25.1 m * 80 mV / 5 mA | |
| = | 400 ohm-m |