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The time when all rooms and halls were purely empirically built is long gone. Nowadays, a minimum of computation tools are available; all that is left to do is to properly use them.

To start with, one must be conscious that as implied with the title, we are talking of a model, that is, a representation of the actual physical phenomena. Modeling in acoustics is akin to freezing in cooking: If you start with good ingredients and properly perform the freezing, then later on the unfreezing, you will end up with at least an eatable, if not palatable, dish, but if you use rotten ingredients or mess up the process, the result will be awful. In acoustic modeling, if you start with bad data or forget about the validity domain of the model, the result will be messy, to say the least.

Statistical Modeling

Statistical modeling has been used for a long time. In the crudest models one simply needs the volume of the room and the areas of the surfaces together with their absorption coefficients.

Sabine modeling is of course the simplest. The sound pressure level Lp at a distance d from the sound source of sound power level Lw is given by

where Q is the directivity of the source, a is the mean absorption coefficient, and A is the total absorption, in m2.

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