There are two adversaries - the submarine and submarine targets. I'm going to call them destroyers - as in the boat with depth charges. There are two qualities to these parties:
1) noise profile = how much noise are they making right now.
2) detection profile = how well can they hear noises right now.
These are circles centred on each party. When a sub uses full engines it's noise profile goes up so the circle gets larger and can be detected sooner/easier. Destroyers can hear better when they idle engines so when they do that their detection profile goes up. Here are some graphical examples:
The submarine(s) are both stealthy and distant. The destroyer won't detect the subs:
- soundmodel1.png (6.61 KiB) Viewed 5358 times
The destroyer is now closer and now has some chance of detecting the bottom sub, but it is not guaranteed:
- soundmodel2.png (6.84 KiB) Viewed 5358 times
The destroyer is very close now but the sub has a small profile. Even when the sub is entirely inside the detection range, the small profile means detection is not guranteed:
- soundmodel3.png (6.57 KiB) Viewed 5358 times
The sub is close and noisy. Detection is almost guranteed:
- soundmodel4.png (6.44 KiB) Viewed 5358 times
As I was typing this, I thought of a flaw. I was going to determine % of detection based on how much of the destroyer detection profile is filled/overlapping. There are mathematical formula's to do this (https://mathworld.wolfram.com/Circle-Ci ... ction.html). I just realised that a destroyer with a large detection profile will actually be penalised because the percentage of area inside it's cirlce that is filled by the noise profile actually reduces as the detection profile gets larger.
I'll think some more but would love some ideas on how to determine when the submarine is detected by the destroyer, noting, noise profiles and detections profiles shrink and grow based on current actions.
Edit: do I need to determine detection % based off raw/actual area that is overlapped? That means a large noise profile provides a larger overlap area and is rightly punished while a large detection profile provides opportunity for a large overlap area and is rightly rewarded.
