Pressure is a very important concept in the oil and gas industry. Pressure can be defined as: the force exerted per unit area. Its
SI unit is
newtons per square metre or
pascals. Another unit,
bar, is also widely used as a measure of pressure, with 1 bar equal to 100 kilopascals. Normally pressure is measured in the U.S. petroleum industry in units of
pounds force per square inch of area, or psi. 1000 psi equals 6894.76 kilo-pascals.
Hydrostatic pressure Hydrostatic pressure (HSP), as stated, is defined as pressure due to a column of fluid that is not moving. That is, a column of fluid that is static, or at rest, exerts pressure due to local force of gravity on the column of the fluid. The formula for calculating hydrostatic pressure in SI units (
N/
m2) is: : Hydrostatic pressure = Height (m) × Density (kg/m3) × Gravity (m/s2). All fluids in a
wellbore exert hydrostatic pressure, which is a function of
density and vertical height of the fluid column. In US oil field units, hydrostatic pressure can be expressed as: :
HSP = 0.052 ×
MW ×
TVD, where MW (Mud Weight or density) is the drilling-fluid density in pounds per gallon (ppg), TVD is the true vertical depth in feet and HSP' is the hydrostatic pressure in psi. The 0.052 is needed as the conversion factor to psi unit of HSP. To convert these units to SI units, one can use: • 1 ppg ≈ • 1 ft = 0.3048 metres • 1 psi = 0.0689475729 bar • 1 bar = 105 pascals • 1 bar = 15 psi
Pressure gradient The
pressure gradient is described as the pressure per unit length. Often in oil well control, pressure exerted by fluid is expressed in terms of its pressure gradient. The SI unit is pascals/metre. The hydrostatic pressure gradient can be written as: : Pressure gradient (psi/ft) = HSP/TVD = 0.052 × MW (ppg).
Formation pressure Formation pressure is the pressure exerted by the
formation fluids, which are the liquids and gases contained in the geologic formations encountered while drilling for oil or gas. It can also be said to be the pressure contained within the pores of the formation or reservoir being drilled. Formation pressure is a result of the hydrostatic pressure of the formation fluids, above the depth of interest, together with pressure trapped in the formation. Under formation pressure, there are 3 levels: normally pressured formation, abnormal formation pressure, or subnormal formation pressure.
Normally pressured formation Normally pressured formation has a formation pressure that is the same with the hydrostatic pressure of the fluids above it. As the fluids above the formation are usually some form of water, this pressure can be defined as the pressure exerted by a column of water from the formation's depth to sea level. The normal hydrostatic pressure gradient for freshwater is 0.433 pounds per square inch per foot (psi/ft), or 9.792 kilopascals per meter (kPa/m), and 0.465 psi/ft for water with dissolved solids like in Gulf Coast waters, or 10.516 kPa/m. The density of formation water in saline or marine environments, such as along the Gulf Coast, is about 9.0
ppg or 1078.43 kg/m3. Since this is the highest for both Gulf Coast water and fresh water, a normally pressured formation can be controlled with a 9.0 ppg mud. Sometimes the weight of the overburden, which refers to the rocks and fluids above the formation, will tend to compact the formation, resulting in pressure built-up within the formation if the fluids are trapped in place. The formation in this case will retain its normal pressure only if there is a communication with the surface. Otherwise, an
abnormal formation pressure will result.
Abnormal formation pressure As discussed above, once the fluids are trapped within the formation and not allow to escape there is a pressure build-up leading to abnormally high formation pressures. This will generally require a mud weight of greater than 9.0 ppg to control. Excess pressure, called "overpressure" or "geopressure", can cause a well to blow out or become uncontrollable during drilling.
Subnormal formation pressure Subnormal formation pressure is a formation pressure that is less than the normal pressure for the given depth. It is common in formations that had undergone production of original hydrocarbon or formation fluid in them.
Overburden pressure Overburden pressure is the pressure exerted by the weight of the rocks and contained fluids above the zone of interest. Overburden pressure varies in different regions and formations. It is the force that tends to compact a formation vertically. The density of these usual ranges of rocks is about 18 to 22 ppg (2,157 to 2,636 kg/m3). This range of densities will generate an overburden pressure gradient of about 1 psi/ft (22.7 kPa/m). Usually, the 1 psi/ft is not applicable for shallow marine sediments or massive salt. In offshore however, there is a lighter column of sea water, and the column of underwater rock does not go all the way to the surface. Therefore, a lower overburden pressure is usually generated at an offshore depth, than would be found at the same depth on land. Mathematically, overburden pressure can be derived as: : S=\rho_b\times D \times g where :g = acceleration due to gravity : S = overburden pressure : \rho_b = average formation bulk density : D = vertical thickness of the overlying sediments The bulk density of the sediment is a function of rock matrix density, porosity within the confines of the pore spaces, and porefluid density. This can be expressed as : \rho_b = \phi \rho_f + (1 - \phi) \rho_m where : \phi = rock porosity : \rho_f = formation fluid density : \rho_m = rock matrix density
Fracture pressure Fracture pressure can be defined as pressure required to cause a formation to fail or split. As the name implies, it is the pressure that causes the formation to fracture and the circulating fluid to be lost. Fracture pressure is usually expressed as a gradient, with the common units being psi/ft (kPa/m) or ppg (kg/m3). To fracture a formation, three things are generally needed, which are: • Pump into the formation. This will require a pressure in the wellbore greater than formation pressure. • The pressure in the wellbore must also exceed the rock matrix strength. • And finally the wellbore pressure must be greater than one of the three principal stresses in the formation.
Pump pressure (system pressure losses) Pump pressure, which is also referred to as
system pressure loss, is the sum total of all the pressure losses from the oil well surface equipment, the
drill pipe, the
drill collar, the
drill bit, and
annular friction losses around the drill collar and drill pipe. It measures the system pressure loss at the start of the circulating system and measures the total friction pressure.
Slow pump pressure (SPP) Slow pump pressure is the circulating pressure (pressure used to pump fluid through the whole active fluid system, including the borehole and all the surface tanks that constitute the primary system during drilling) at a reduced rate. SPP is very important during a
well kill operation in which circulation (a process in which drilling fluid is circulated out of the suction pit, down the drill pipe and drill collars, out the bit, up the annulus, and back to the pits while drilling proceeds) is done at a reduced rate to allow better control of circulating pressures and to enable the mud properties (density and viscosity) to be kept at desired values. The slow pump pressure can also be referred to as "kill rate pressure" or "slow circulating pressure" or "kill speed pressure" and so on.
Shut-in drill pipe pressure Shut-in drill pipe pressure (SIDPP), which is recorded when a well is shut in on a kick, is a measure of the difference between the pressure at the bottom of the hole and the hydrostatic pressure (HSP) in the drillpipe. During a well shut-in, the pressure of the wellbore stabilizes, and the formation pressure equals the pressure at the bottom of the hole. The drillpipe at this time should be full of known-density fluid. Therefore, the formation pressure can be easily calculated using the SIDPP. This means that the SIDPP gives a direct of formation pressure during a kick.
Shut-in casing pressure (SICP) The
shut-in casing pressure (SICP) is a measure of the difference between the formation pressure and the HSP in the
annulus when a kick occurs. The pressures encountered in the annulus can be estimated using the following mathematical equation: : FP = HSPmud + HSPinflux + SICP where : FP = formation pressure (psi) : HSPmud = Hydrostatic pressure of the mud in the annulus (psi) : HSPinflux = Hydrostatic pressure of the influx (psi) : SICP = shut-in casing pressure (psi)
Bottom-hole pressure (BHP) Bottom-hole pressure (BHP) is the pressure at the bottom of a well. The pressure is usually measured at the bottom of the hole. This pressure may be calculated in a static, fluid-filled wellbore with the equation: : BHP = D × ρ × C, where : BHP = bottom-hole pressure : D = the vertical depth of the well : ρ = density : C = units conversion factor : (or, in the English system, BHP = D × MWD × 0.052). In Canada the formula is depth in meters x density in kgs x the constant gravity factor (0.00981), which will give the
hydrostatic pressure of the well bore or (hp) hp=bhp with pumps off. The bottom-hole pressure is dependent on the following: • Hydrostatic pressure (HSP) • Shut-in surface pressure (SIP) • Friction pressure • Surge pressure (occurs when transient pressure increases the bottom-hole pressure) • Swab pressure (occurs when transient pressure reduces the bottom-hole pressure) Therefore, BHP can be said to be the sum of all pressures at the bottom of the wellhole, which equals: : BHP = HSP + SIP + friction + Surge - swab ==Basic calculations in oil well control==