Why didn’t my modification follow theory?

I built a closed enclosure with a 10-inch woofer. The enclosure volume is approximately 47 liters. External dimensions are 600 x 290 x 360 mm. The T/S parameters for the driver are as follows:
Fs = 16 Hz
Qts = 0.208
Qes = 0.217
Qms = 0.517
Vas = 8.1 cu.ft
Sd = 51.1 cu.in
Xmax = 0.23 in
Re = 3.6 Ohms

I ordered XPS foam and installed it in the enclosure. I expected the bass response to be boosted because the enclosure volume was reduced, and that the system's Q would be increased, resulting in a rise in bass response, with some trade-offs with deep bass.

However, the outcome has not been as predicted. The bass seemed to be softer. I kept adding foam to the enclosure, and it verified the result. So I took all of the foam out of the enclosure. Then, the bass was louder.

Why didn't my modification follow the theory?
 
I built a closed enclosure with a 10-inch woofer. The enclosure volume is approximately 47 liters.
...
I ordered XPS foam and installed it in the enclosure. I expected the bass response to be boosted because the enclosure volume was reduced, and that the system's Q would be increased, resulting in a rise in bass response, with some trade-offs with deep bass.
Quite the contrary.
System Q will lower because of increased damping.

Former higher Q gave you "more" apparent Bass, but low quality "single note" type.
A better damped cabinet will have lower but more even, more true Bass.

Your cabinet is actually tracking theory very well. 🙂

However, the outcome has not been as predicted. The bass seemed to be softer.
That's exactly what's expected

I kept adding foam to the enclosure, and it verified the result. So I took all of the foam out of the enclosure. Then, the bass was louder.

Why didn't my modification follow the theory?
They did.
Read above.
 
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foam is probably still soft enough to be compressed by loudspeaker pressur
XPS needs to be in a sandwich to be of any value. Once you skin it with something non stretch, trying to deflect the panel will try to stretch the outer skin over the thickness of the foam and the shear strength of the adhesive between the skin and the foam surface will prevent the panel from bending. This is what lets XPS be part of a better system than wood based boards, but it is not a complete material on its own. Look out for an upcoming tutorial on using XPS for speakers once my BR or TL question thread is sorted
 
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Presscot did you try in simulator how small of a volume you'd need to have a peak? and the added enough XPS?

Intuitively XPS should reduce cabinet volume, but if it can move perhaps it danpens as well, or sometging. You could add resistor in series with the driver, or big capacitor, like 500uF, which would reduce electrical damping and get system Q up.

What you are doing is great way to learn how stuff sounds, but to really learn you should take measurements as well, to compare data and perceptual effects.
 
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forgot to mention, did you try various listening locations in room? room would dominate bass sound no matter what system Q, so if sound got softer perhaps the box worked as should, but you happened to evaluate it listening in a null?