Brian u are usually good at logic/science, apart from your decision to engage with some of the morons on this forum.
But your comment means that u/me/we/us cant hear an/any/all explosions.
In other words, there is no such thing as a shock wave.
What we have is sound. And if the leading edge of the sound is powerfull then we might call it a shock wave.
So, at what distance duzz a shockwave stop being a shockwave.
Answer, there is no answer, koz there is no such thing as a shockwave, its just sound.
Trump got a bloody ear from a shockwave, a nearmiss, lucky.
I don’t know if I can answer your question but I will take a stab.
I think you can consider the shock wave a wave front, and made from sound waves. It is different than the spherical expanding muzzle blast wave front and is more linear as being a continual summation of sounds as the bullet travels. Imagine the bullet continually giving off spherically expanding sounds that are continuously added up to make the shock wave front.
I guess practically speaking the shock wave is no longer a wave when it fully dissipates, and too weak to detect or hear.
My guess on how it dissipates is only a guess, as I have not seen a definitive explanation. Basically, I would guess the wavefront dissipates as 1/R distance from the trajectory that formed it. Again, this just a guess, but looking at an individual sound point source, like the muzzle blast, those dissipate as 1/R^2. This is based on surface area of its expanding sphere (4*Pi*R^2). The shock wave, as effectively a composite of point source sounds, would be related to adding up point sources. So constantly adding them up is like integrating them. The integral of the 1/R^2 function becomes a form like 1/R. This would be my guess as to the dissipation rate of the shock wave, as 1/R where R the distance from the bullet trajectory forming it.
Again, this is some speculation, so you should look it up to confirm what the answer may be.
P.S. I think they are derived from sounds and are real. Charles mentioned being able to feel normal expanding loud sounds, like muzzle blasts and rocket engines. In the case of a shock wave, if the shock wave is strong enough, it also can be felt. When I was a kid in the early 60’s and lived not far from Offout Airforce base and SAC headquarters around the fall 1962, there were a lot of big jets flying around and for some reason many sonic booms. I definitely felt those shock waves.