A data‐adaptive spatial resolution method for three‐dimensional inversion of triaxial borehole electromagnetic measurements

We develop a novel adaptive inversion technique: Data-adaptive Spatial Resolution Inversion (DSRI) method. DSRI eliminates the need to select parameterization prior to inversion. Instead, one performs a hierarchical search for the correct parameterization while solving a sequence of inverse problems with an increasing dimension of parameterization. A parsimonious approach to the inverse problem involves the application of the same refinement applied all over the spatial domain. Such an approach may lead to over-parameterization, subsequently, to unrealistic conductivity estimates and excessive computational work. With DSRI technique, the new parameterization at an arbitrary stage of inversion sequence is allocated such that new degrees of freedom are not necessarily introduced all over the spatial domain of the electromagnetic problem. The aim is to allocate new degrees of freedom only where it is warranted by the data. Inversion results confirm that DSRI constitutes a robust technique for efficient multiparameter inversion of multicomponent electromagnetic measurements.

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