The present disclosure relates to a method of detecting crack propagation in a wall of a metallurgical furnace by a detection unit. The detection unit is configured to extract one or more dominant frequency parameters from the corresponding reflected stress signal, and analysing, a phase from each dominant frequency parameters. The analysing of the phase comprises determines, one or more coefficients for each dominant frequency parameters. The detection unit then identifies, a dominant phase based on the corresponding one or more coefficients and selects a frequency relevant to a thickness parameter based on the dominant phase. The crack propagation in the wall of the metallurgical furnace is then detected based on the frequency relevant to the thickness parameter at each of the one or more locations. The present disclosure provides an accurate method for determining condition of refractory lining by elimination unwanted noise signals.