Abstract: A volume transform system, which includes a computer processor and a novel volume transform software, receives a set of invasion parameters from a parameterization system, the parameterization system producing a set of invasion parameters which represent a resistivity profile of a formation traversed by a wellbore. The volume transform system functions to perform a quantitative invasion analysis on the invasion parameters in the volume dimension by computing the volume of mud filtrate (Vmf) for each unit of depth in the wellbore and producing a new output record medium, or a new log, which quantitatively illustrates the volume of the mud filtrate (vmf) invasion into the formation traversed by the wellbore as a function of depth in the wellbore. The aforementioned quantitative invasion analysis in the volume dimension compensates for variations in drilling mud, porosity, formation water, and saturation gradient from well to well and between hydrocarbon and water zones with a wellbore.