There is a wide range of uncertainties present in seismic data. Limited subsurface illumination is also common, specially in areas with salt structures. These shortcomings are only a few of many different reasons that makes seismic tomography an under-determined problem with a large null space.
We can use additional information to reduce the uncertainty and constrain this large null space. The additional information, also known as co-located soft (secondary) data, can be the result of integrating a non-seismic data from the same subsurface area.
A measure of structural similarity between the two given data fields can create a link between the different types of data. We use cross-gradient functions to incorporate this structural information, given by secondary data, into the inverse problem as a constraint.
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