Two dimensional pixel-based inversion

A system for characterizing a subterranean formation, the system comprising:

• an electromagnetic logging tool configured to perform electromagnetic logging measurements along a portion of a borehole traversing the subterranean formation to obtain electromagnetic data;
• and
• a processing system configured to:
• (i) process the electromagnetic data to determine a plurality of one dimensional formation models associated with the portion of the borehole, (ii) determine a two dimensional pixel grid using the plurality of one dimensional formation models, wherein pixels in the two dimensional pixel grid have a non-uniform thickness, and (iii) determine a two dimensional formation model for the subterranean formation by performing an inversion of the electromagnetic data using the two dimensional pixel grid.

A method for characterizing a subterranean formation, the method comprising:

• accessing a first two dimensional (2D) formation model modeling a first portion of a formation;
• accessing a second 2D formation model modeling a second portion of the formation, wherein a domain of the first 2D formation model overlaps a domain of the second 2D formation model in an overlap region;
• and
• creating a composite 2D formation model of the first 2D formation model and the second 2D formation model by blending the first 2D formation model and the second 2D formation model in the overlap region.