Othello,
This is a can of worms far larger than most hobbyists, (or pros, for that matter), want to digest. Several large speaker manufacturers, Tymphany included, have mathematicians and physicists pretty much dedicated to studying it full time. It is a far from simple problem.
First of all, one must remember that Thiele-Small parameters are only characteristics of an electromechanical MODEL of a loudspeaker. For the most part, they are not actual, physical properties of the driver itself. This is a tricky concept to grasp fully, but it is fundamental. Some parameters have stable and clear physical meanings: Mmd, for example. Others, such as Vas, are pure abstractions. They have a definition, but not a direct congruency. Still other parameters, such as Fs and Qts are in a gray area. They seem to have an intuitive meaning, but they can be mathematically defined in several ways, all correct and all yielding slightly different results. Again, this is a tricky notion to really internalize, but it is true.
Thiele-Small analysis only has real meaning in a linear system, which a speaker is not. To further complicate matters, even after deciding how to exactly define these parameters, measured and derived values will be affected by:
1- The short-term output history of the driver.
2- The long-term output history of the driver.
3- The overall temperature of the driver.
4- The temperature gradient within the driver.
5- Orientation of the driver with respect to gravitational forces.
6- The type of drive stimulus used.
7- The level of the drive stimulus used.
8- Drive source impedance characteristics.
9- Etc.
(As an aside, when I first studied loudspeaker physics in college, we did not use modelling. We used the actual, physical parameters of the speaker to calculate from. This meant we had to literally tear apart a sample of a driver to understand it. We had to put it in a vacuum chamber to calculate air load. Use force gauges and micrometers to measure compliance and BL. Cut off the diaphragm to weigh it, etc. After this, each enclosure design took days or weeks of calculation.)
OK, so where does this leave us? Well, no doubt, Thiele-Small modelling methods are a very valuable to loudspeaker designers, and they can yield useful results. A good enclosure design includes a sensitivity analysis (perturbation, not SPL), to assure that some variation in parameters is tolerable. Of course, reputable driver suppliers publish specs after break-in, and measured under conditions that anticipate actual use.
The ideal thing for you to do is build a simple test box. After you measure its parameters, put it in the test box and measure the response to see if it meets your predications. This test box doesn't have to be fancy, or even exactly the same type as your final design. It only needs to be reasonable for the driver. For example, a sealed box of 50 or 100 liters can check out just about any 12" woofer. If the predictions match, you can proceed with your final design. If they don't, you need to refine your parameter test methods until they do.
Other than this, try testing the driver under different conditions; different drive levels, orientations, amount of burn-in, etc. Look for trends and averages in the data. Clamp the driver as firmly as possible to a stable test jig. Avoid room noise and footstep vibrations. I can elaborate on the test methods I find the most useful, if there is interest, and at an earlier hour....
Hope this helps!
-k
http://kkantor.spaces.live.com
www.tymphany.com