The R3 thrust area is focused on subsurface sensing and imaging challenges, that can be addressed by pursuing research in a number of computing disciplines. First, we have clearly identified a number of problems where the sheer number of computations performed on multi-dimensional data sets presents considerable computational barriers. The second area of focus involves the development and delivery of software engineered SSI toolboxes. Our goal here is to capture much of the algorithm development ongoing in the R2 thrust, and produce a set of software tools that can be used by both researchers and educators. Another area of focus of the R3 thrust addresses the issue of how to effectively manage the volumes of data that are being generated across the Center on a daily basis.