Very interesting!
When I started implementing sonar / acoustics modelling in my sim, I spoke to a couple of ex-submariners, did some research and basically found that truly accurate simulation of underwater acoustics would be almost impossible - there are just too many factors to consider. The temperature of the water, turbulence, currents, the material of the seabed (rock, sand, silt), the frequencies of the sounds involved, and so on... I coded my own fairly simple, abstracted model in the end.
I'm extremely interested to see what you come up with - you're clearly taking a far more mathematical approach, and making use of some pretty powerful libraries. Best of luck, this is definitely a project to watch!
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