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In Drilling terminology, hydrostatic pressure is "The pressure exerted on a column of fluid at rest". This said, an oil well is just a column of fluid. Hydrostatic pressure is used to control the formation pressure in a well in order to prevent a "kick" (an influx of fluid into the well bore) or a blow-out (an uncontrolled influx of fluid into the well bore). Hydrostatic Pressure is calculated by a simple calculation = depth in meters x weight of drilling fluid in kg/m3 x gravity constant of 0.00981. IE. drilling at a depth of 3459m with drilling fluid that weighs 1120 kg/m3 would give you a Hydrostatic pressure of 38005 kpa. This is the amount of pressure that is being exerted on the formation at 3459m

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Q: What is hydrostatic pressure used for drilling oil wells?
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