Abstract
A Bayesian approach to estimating the physical parameters of rigid-frame porous materials through measurements of the acoustic impedance of such materials is presented. Porous materials are widely used as sound absorbers in many industries. Modeling the effects of porous absorbers and making optimal use of porous absorbent materials requires knowledge of the physical parameters characterizing such materials: porosity, tortuosity, and flow resistivity. For many materials, direct measurement of these parameters requires time-consuming or highly sensitive procedures. Based on some existing models for the characteristic impedance or propagation coefficient of a porous material in terms of the physical material parameters, Bayesian parameter estimation is used to estimate the physical parameters of a material from a measurement of its complex acoustic impedance or propagation coefficient. In addition to estimation of the values of the physical parameters, Bayesian analysis provides information on the uncertainties and interdependence of the parameters.
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