The illustration above is fantastic. I tried some calculations about the sinking using Bernoulli’s equation but it failed. It seems that some simplification of calculation is needed.
Flooding a chamber is similar to charging a capacitor or a battery. It is exponential in nature. However, the capacitance of water in the ship is changing all the time, when the ship sinks, and the simplified model should be differential equation.
Also, rooms without watertight doors are similar to capacitors too. That means Titanic is made up of a lot of "capacitors" in series and in parallel.
It is noted that the position of pump may alter the process of sinking. In some case, the pump keep the ship staying afloat for longer time, but not other cases. Also, frictional force when water flows inside the chamber reduces the flooding rate.
The article mentioned about hydraulic force. Inflow of water increases when damaged ship moves forward. Inverse effect should take place if the ship moves backward. If the ship is moved backward at an appropriate speed, the hydraulic force may halt the inflow of water at certain point such that the ship will not sink for a longer time.
p.s. Titanic(1953) claimed that the ship's third boiler room was flooded well before the forward-well deck flooded. As the room was flooded, the interior exploded.
It is quite likely that they are stories only, instead of facts.