The deeper the well, the higher the pressure, and the higher the risks associated with tapping oil from wells. During drilling, when the pressure applied to balance the hydrocarbon pressure in a well is not great enough to overcome that exerted by gas and fluids in the rock formation drilled, water, gas, oil, or other formation fluid can enter the hole. This is called a "gas kick," which in worst-case scenarios can lead to blowouts.
In a paper published earlier this month in the SIAM Journal on Mathematical Analysis, author Steinar Evjepresents new analysis of a mathematical model that has applications to the study of such gas kicks in deep-water oil wells.