Spillage Rate for a Given Structural Damage

Currently, CTX knows of no reasonably accurate model for how rapidly a breached cargo tank will reach equilibrium. Thus, for example, our loading/salvage/spill reduction program, MATE can tell a crew what the equilibrium amount spilled will be; but it gives no guidance on how rapidly that spillage will occur. The purpose of this project is to rectify this glaring shortcoming. We need to do this while keeping the description of the damage concise and simple. Ideally the crew would need to enter nothing more than it already has to; (the position of the top and bottom of the damage). but, if we have to, we could accept a couple of more numbers: say the area and/or perimiter of the opening.

Hydrostatic flow can probably be modelled by a varient of Torricelli's equation. But exchange flow is a little more complicated. Not only is the driving force the difference in densities, but the two flows, the oil out and the water in, are trying to use the same space. Finally, we have a potentially massive difference in viscosities. One can imagine situations where the exchange flow rate is governed more by the viscosity of the cargo than the size of the opening.

In any event, this would make an interesting and important master's thesis, possibly even a PhD if it's done right.

Email about this project should be sent to rate@c4tx.org.