Gas Kick is a burst load case, where the unknown is the internal pressure profile of the casing / tubing.
In this documentation we denote any tubular as casing or tubing. All calculations however encompass any tubular, such as tubings, casings, liners, tie-backs etc.
The scenario is a gas kick somewhere below the shoe of the casing / tubing, i.e. in the open hole of the next section, which is circulated out using driller's method. A typical example is a kick at the bottom of the next open hole section, i.e. the total depth. It is the maximum pressure experienced at every depth that is reported, which occurs when the top of the gas column reaches that depth. It is possible to enable Limit to frac at shoe, and then the excess pressure is bleed off to the formation at the shoe, and the internal pressure in the casing is just the hydrostatic pressure from mud, with the fracture pressure at the shoe.
- The true vertical depth (TVD) along the wellbore as a function of measured depth. Alternatively, the wellbore described by a set of survey stations, with complete information about measured depth and inclination.
- The true vertical depth/TVD of
- The hanger of the tubing, TVD
- The shoe of the tubing, TVD
- The influx depth of the gas, TVD
- The fracture pressure profile from hanger to influx depth
- The kick volume and kick intensity, and , respectively
- The temperature profile of the wellbore,
- The mud weight/density,
- The gas gravity, sg
- Tubing and open hole dimensions
- Whether or not to limit the pressure at shoe by the fracture pressure there. If this is enabled, it is also possible to give a fracture margin or error, which is added to the fracutre pressure.
The internal pressure profile of the casing / tubing is calculated by following the front of the gas column, from shoe to hanger. The algorithm goes as follows
Calculate the pressure at the influx depth
where is the gravitational constant. This pressure is assumed constant throughout the kick.
Calculate the height of the gas column as it rises upwards, using the tubing and open hole dimensions, and the corresponding gas density from Sutton correlations.
Calculate the internal pressure, , from influx depth to hanger, as the hydrostatic pressure from mud and gas.
If 'Limit to frac at shoe' is enabled, calculate the fracture pressure at the shoe of the tubing, . If in addition, , calculate the hydrostatic pressure from shoe to hanger as if the casing / tubing is filled with mud, .
The internal pressure of the tubing is then
reported from shoe to hanger.
 Curtis H. Whitson and Michael R. Brule ́. Phase behavior, volume 20 of Henry L. Doherty series. SPE Monograph series, 2000.
 Sutton, R.P.: “Compressibility Factors for High-Molecular Weight Reservoir Gases,” paper SPE 14265 presented at the 1985 SPE Annual, Technical Conference and Exhibition, Las Vegas, Nevada, 22–25 September.