Depends on what you need it for and how much attenuation you need. There's nothing I know of that can 100% attenuate 0-10KHz with a single layer, though - blocking the 0-100Hz range just requires a lot of material.
A wall made up of bags loaded with sand (ie, sand bags) should do it.
In the case of my stereo system, I built a room inside of a room. The inner room does not touch the outer room, so when the inner room vibrates, the air gap between them is a poor transmitter so one hardly hears anything outside the second room even when playing inside at rock concert levels.
My guess is a combination of acoustic barriers and perhaps a optics table for the low frequencies? A really good frequency generator will have very good noise characteristics, having some experience in this domain, we never had to worry about shielding the frequency generators for our experiments, and they were quite sensitive.
Low frequency noise can be a really pesky problem in circuits. The most obvious is the 50/60 Hz noise you get from the mains but there are other background signals that are out there like the radio signal for atomic clocks. Being low frequency though increases the problem of induced noise and shielding performance.
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