A method for presenting measurements of properties of a subsurface material to a user includes: conveying a carrier through a borehole penetrating the subsurface material; performing a plurality of measurements of multiple properties of the subsurface material at multiple depths in the borehole using a plurality of downhole tools disposed at the carrier; constructing, with a processor, a three-dimensional mathematical model of the subsurface material using the plurality of measurements, the model having data from the plurality of measurements of the multiple properties; receiving, with the processor, an input from a user directing the processor to generate a three-dimensional image of the subsurface material as seen from a virtual viewer-window viewing the model, the input having a three-dimensional position and three-dimensional viewing direction of the virtual-viewer window within the model; generating the three-dimensional image with the processor; and displaying the generated three-dimensional image on a display.