It's more or less simple VLS and CVW magazine math to figure out total carrier group saturation numbers. This also assuming prioritizing carrier survival... i.e. CVWs may not even be geometrically recoverable if carriers has to GTFO.
Napkin math hypothetical, if a stacked carrier group with 3DDGs quad packed antiair and CVWs where most tasking dedicated to shooting down drones... PRC needs to launch ~3000 enhanced shaheed136 tier moped munitions to fully deplete magazine and saturate. Considering PRC procurement likely getting them at fraction price of Iran (i.e. 10-20k, remember Iran has sanction tax), this probably actually cheaper than PRC hypersonic salvos. We're talking sub 100m swarms that effectively defeat carriers or at minimum draw billions in interceptors. VS 100m tier1 hypersonic ashm salvos that can do so in 1/20th time.
The TLDR is knowing where carriers are is theoretically a solved problem, and knowing where carriers are enables conemps/ops vs those who do not, i.e. if Iran can somehow launch 10000 drones, simply having shit C4ISR means they can't use same tactic.
No, prop drones don't "geometrically catchup". Shahed's extreme range achieved by flying really slow, the top speed (which they don't sustain constantly to conserve fuel) is about 185kph, for the maximum flight time of about 13 hours. US carriers officially can sustain 60kph indefinitely, and in practice they can go faster. That means on a straight line a Shahed can only gain 1600km in the absolute best scenario. In reality it's much less, because launching takes time and the average speed is slower.
The capabilities that you're describing are a fantasy.
>geometrically catchup
A carrier at 3000km and GTFO sprint opposite direction at max speed, i.e. 30knots / 60km, will have prop drones closing speed/gap at 120km per hour. AKA intercept time distance around ~24 hours at 4500km. Hence why I said ENHANCED shaheeds, i.e. swap propulsion with 30% more efficient heavy fuel engines, increase aspect ratio and improved shaheed basically makes carriers operating within 3000kms unable to reach ~4500km endurance no escape zone. This within the platforms SWAP potential, technically can also just swap payload for fuel but HFE and planform improvements simply more efficient.
3000km also VASTLY optimistic scenario for carriers and limits of prop planform/SWAP potential, it's functionally carrier at 0 sortie scrap metal range. Realistically carriers max effective standoff is ~2200km, at which point effective sorties down to 20% (rest tanking/support). So no, mathematically, carriers cannot fastandfurious straight line out of this, and definitely not surface fleet escorts. The capabilities I'm describing is pedestrian for PRC. Unless one thinks PRC cannot build a better shaheed than Iran who literally built them in caves with box of scraps.
