  Electromagnetic induction methods are a common means for geophysical survey.
For soil structures that are invariant in one spatial dimension such as trench
structures, we propose a fast forward model based on a 2D response function,
taking into account sharp horizontal and vertical transitions in the electrical
conductivity. The 2D model is used to invert trench structures from a synthetic
dataset. The propsed method can determine trench parameters (width, height,
steepness of the slope) more accurately than methods based on regularization of
the 1D response function.
