So, I could've sworn Andrea said no resource designs. But the OP says they're allowed, so...
Vidanerouen Screw: There's a problem with mines, and that problem is water. Since water is pretty common, it's a big problem. If you strike an aquifer, your mine is more or less done for.
But imagine if that was not the case. Imagine if there was an easy, efficient way of removing water from a mine as fast as it flows into it.
Introducing the Vidanerouen Screw. A deceptively simple piece of machinery, it consists of a metal tube with a screw inside, which can be rotated. This causes water to be drawn from the bottom of the tube to the top, and it doesn't even have to be made of Orichalcum, which is godsdamned witchcraft. We'd much rather just use alchemy to make Orichalcum absorb water or something, but we cannot deny that the screw works, and is a lot simpler and cheaper.
Anyway. By installing these screws in our mines, and having either slaves or animals turn them, we can 'pump' water from the depths, allowing us to dig deeper and more greedily for Orichalcum- that being our goal, though using such pumps in other mines is not impossible.
Alt:
Achnizo's Compound Aeolipile: There's a problem with mines, and that problem is water. Since water is pretty common, it's a big problem. If you strike an aquifer, your mine is more or less done for.
But imagine if that was not the case. Imagine if there was an easy, efficient way of removing water from a mine as fast as it flows into it.
Introducing Achnizo's Compound Aeolipile. Remember the steam wheel toy? You know, heat the water, wheel spins, children love it, not really that useful? Achnizo remembered. Achnizo saw potential in that toy that we daren't dream of. He has tinkered with it for years, and now has come to us for funding to build a working prototype of his invention.
How is Achnizo's Compound Aeolipile better than the original steam wheel? Numerous ways.
For one, using Orichalcum to make the 'boiler' allows for far higher pressure to be maintained without the whole thing exploding. Using superheated Orichalcum in a wiggly pattern that maximises surface area allows such pressures to be reached.
For another, Achnizo realised that the steam exiting the steam wheel still had a lot of 'potential'. Rather than letting it vent off into the atmosphere, the steam exiting the first wheel is captured and fed into a second wheel, which in turn feeds a third wheel, and so on. Each wheel is connected to a central shaft, meaning their outputs are combined.
Achnizo has also optimised the shape of the machine, tweaking every pipe and nozzle to maximise efficiency.
The result is a remarkably powerful device. We foresee many potential applications for such power, but for now, we have applied it to our mines, by having the shaft (through a series of gears and pulleys) turn a water screw, that can 'pump' water from the depths of a mine to the surface. The power of the Aeolipile is far greater than that of any man or beast, making the formerly daunting task of moving so much water a walk in the park.
This, in turn, allows us to dig deeper and more greedily for Orichalcum- the projected cost of the system makes using it for lesser metals not worth it.