Then, we introduce these structural constraints into the inversion of the apparent resistivity data by weighting the four-direction smoothing matrix to smooth along, but not across, structural features. The locations and orientations of the structural features can be extracted by image processing methods to determine the structure tensor and the semblances of the guiding image at a set of pixel. migrated seismic or ground penetrating radar images) or possibly from a geological cross-section of the subsurface based on some prior geological expertise. This guiding image can be drawn from a high resolution geophysical method based on the propagation equation (e.g.
This approach uses structural information obtained directly from a guiding image. To provide more information to ERT, we propose an image-guided or structure-constrained inversion of the apparent resistivity data. Electrical resistivity tomography (ERT) is based on solving a Poisson equation for the electrical potential and is characterized by a good sensitivity only in the vicinity of the electrodes used to gather the data.
