Abstract: A strategy of making use of the analyses of stress wave spectra including power density spectrum of analytical wavelet field, modulus spectrum of real wavelet field and modulus maximum spectrum of real wavelet field to diagnose damages of geotechnical media is proposed by applying wavelet theory into damage diagnoses of geotechnical media. After analyses of the properties of Cmorlet wavelet and DoG wavelet and their transformation characteristics, a novel and effective damage diagnose routine to implement the proposed strategy is developed by combining the advantages of above two wavelets. Damage diagnose results of a continuous subsurface cement-soil wall show that this method is effective and feasible.