Some embodiments of the present invention provide systems, methods and apparatus for more accurately determining the thickness of a refractory lining included in an operating metallurgical furnace. Specifically, in some embodiments a transient propagated stress wave is used to determine the condition of a refractory lining, and additionally, provide a systematic way to include the affect that temperature has on the velocity of a compressive wave through a heated refractory material and/or accretions. As identified in aspects of the present invention, and contrary to the common understanding in the art, the velocity of a stress wave, at each frequency and in a refractory material, is not necessarily constant over a temperature range. In accordance with aspects of some specific embodiments of the invention, a scaling factor α can be calculated for each refractory material to adjust for the presumed velocity of the stress wave through each refractory material.