from geoscilabs.em.ResponseFct import interactive_responseFct
In this app, we compute apparent resistivity using the response curves for a two-loop Frequency domain system for a two-layer earth. Below figure shows horizontal coplanar (HCP) configuration.
Assuming the coil spacing $s \ll \delta$, where $\delta$ is the skin depth, the apparent conductivity is given by
$$ \sigma_a = \int_0^\infty \phi(z) \sigma(z) dz $$Where
Note that in the following plots, the y-axis is a normalized depth: $z/s$ where $s$ is the source-receiver separation.
Two different configurations of source-receiver configurations are considered:
HCP: Horizontal coplanar system. The associated dipoles are perpendicular to the plane of the loops and are therefore in the vertical direction. The response function associated with this is .
VCP: Vertical coplanar system. The associated dipoles are perpendicular to the plane of the loops and are therefore in the horizontal direction. The response function associated with this is .
For more, see the GPG section on dual loop systems
h$_{boom}$: height of the source-receiver boom from the surface [m]
h$_{1}$: thickness of the first layer [m]
$\sigma_{1}$: conductivity of the first layer [S/m]
$\sigma_{2}$: conductivity of the second layer [S/m]
configuration: configuration of the source-receiver
interactive_responseFct()
interactive(children=(FloatSlider(value=0.0, continuous_update=False, description='$h_{boom}$', max=2.0), Floa…