In this paper a new theory is developed which describe the pressure dependence of seismic velocity and deals with acoustic hysteresis. The model is based on the idea (accepted in the literature) that the microcracks closed during pressurization do not reopen completely during depressurization. The model was applied to acoustic P wave velocity data sets measured on core samples originated from oil-drilling wells. The model parameters of the petrophysical model were determined by inversion method. During the measurements the pulse transmission technique was used. Measurements were carried out at various incremental pressures and parameters of the model were determined by linearized inversion methods. The calculated data matched accurately with measured data proving that the new rock physical model describing acoustic hysteresis applies well in practice.


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