Inversion of electromagnetic induction data using a 2D geophysical response function

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.