PE Petroleum flashcards
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- Volumetric OOIP equation
- N = 7758 * A * h * phi * (1 - Swi) / Boi, where A is drainage area in acres, h is net pay in feet and Boi is in res bbl/STB; 7758 converts acre-feet to barrels.
- Radial steady-state flow equation
- q = 0.00708 * k * h * (Pe - Pw) / (mu * Bo * [ln(re/rw) + s]) in STB/day, with permeability in mD, thickness in ft, viscosity in cp and pressures in psi.
- Skin factor
- A dimensionless pressure-loss term concentrated at the wellbore. Positive skin indicates damage, negative skin indicates stimulation, and it adds dp = 141.2*q*mu*B*s/(k*h) psi.
- Gas p/Z material balance
- Plotting p/Z against cumulative gas production gives a straight line whose extrapolation to p/Z = 0 equals original gas in place for a volumetric, normally pressured gas reservoir.
- Mobility ratio
- M = (krw/mu_w)/(kro/mu_o). Values below one indicate a favorable waterflood with a stable front; values above one promote viscous fingering and early water breakthrough.
- Buckley-Leverett frontal advance
- Distance travelled by a saturation is x = (q*t/(phi*A)) * (dfw/dSw). The tangent drawn from the initial saturation on the fractional-flow curve gives the breakthrough front saturation.
- Arps exponential decline
- q = qi*exp(-D*t). A semilog plot of rate versus time is a straight line and D = ln(qi/q)/t. It applies when the hyperbolic exponent b equals zero.
- Arps hyperbolic decline
- q = qi*(1 + b*Di*t)^(-1/b) with b between 0 and 1. The case b = 1 is harmonic decline and b = 0 is exponential; common for unconventional and solution-gas-drive wells.
- Archie water saturation
- Sw = [(a*Rw)/(phi^m*Rt)]^(1/n). For clean sandstones a is about 1, the cementation exponent m about 2 and the saturation exponent n about 2.
- Volumetric waterflood recovery factor
- RF = (1 - Swi - Sor)/(1 - Swi). It assumes piston-like displacement with no areal or vertical losses, so actual recovery is lower after sweep efficiencies are applied.
- Real gas pseudopressure
- m(p) = 2 times the integral of p/(mu*Z) dp from a reference pressure to p. It linearizes the gas flow equation when viscosity and Z vary strongly with pressure.
- Hydrostatic pressure equation
- p (psi) = 0.052 * mud weight (ppg) * true vertical depth (ft). The 0.052 factor converts the ppg-and-feet product directly into pounds per square inch.
- Equivalent circulating density
- ECD = (hydrostatic pressure + annular friction loss)/(0.052 * TVD). It represents the effective mud weight the formation sees while the mud is being circulated.
- Kill mud weight
- KMW = current mud weight + SIDPP/(0.052 * TVD). Shut-in drillpipe pressure sets the kill weight, while slow-circulating pressure sets the initial circulating pressure.
- Leak-off test
- A low-rate test conducted below the casing shoe. Fracture gradient equals (surface leak-off pressure + hydrostatic pressure)/TVD and defines the upper bound of the mud weight window.
- Dogleg severity
- DLS = 100 * (angle change in degrees)/(course length in ft), reported in degrees per 100 ft. It governs torque and drag, casing wear and drillstring fatigue.
- Casing design loads
- Burst arises from internal pressure, collapse from external hydrostatic pressure and tension from string weight. Commonly used minimum design factors are approximately 1.1, 1.125 and 1.8 respectively.
- Cement plug bump pressure
- Additional pressure, typically 500 to 1000 psi, applied after displacement to land the top plug on the float collar and confirm the plugs and float valves held.
- Bit hydraulic horsepower
- HHP = (bit pressure drop * flow rate)/1714, with pressure in psi and rate in gpm. Total nozzle flow area is sized to maximize horsepower or jet impact at the bit.
- Annular velocity
- AV (ft/min) = 24.5 * Q/(Dh^2 - Dp^2), with Q in gpm and hole and pipe diameters in inches. It must exceed cuttings slip velocity for effective hole cleaning.
- Mud weight window
- The safe density range bounded below by formation pore pressure and above by fracture gradient. Leaving the window causes either a kick or lost circulation.
- Kick tolerance
- The maximum influx volume, expressed as an equivalent mud weight at the casing shoe, that can be circulated out without fracturing the weakest exposed formation.
- Vogel inflow performance
- q/qmax = 1 - 0.2*(Pwf/Pr) - 0.8*(Pwf/Pr)^2. It predicts inflow performance for solution-gas-drive wells producing below the bubble point pressure.
- Productivity index
- J = q/(Pr - Pwf) in STB/day/psi. For radial flow J = 0.00708*k*h/(mu*B*[ln(re/rw) - 0.75 + s]); it forecasts rate at a given flowing pressure.
- Souders-Brown separator sizing
- v_max = K*sqrt((rho_liquid - rho_gas)/rho_gas). The empirical K depends on vessel type and mist eliminator, and the equation sets separator gas capacity and diameter.
- Separator liquid retention time
- Liquid volume held between the inlet and the oil weir is set by residence time, typically 1-3 minutes for two-phase and 3-5 minutes for three-phase separators.
- API RP 14E erosional velocity
- Ve = C/sqrt(rho_mixture), with C about 100 for continuous service and higher for intermittent clean service. It caps line velocity to limit erosion by produced solids.
- Choked choke flow
- For gas, when flowing wellhead pressure divided by upstream pressure drops below roughly 0.55, flow is critical and the rate depends only on choke size, not downstream pressure.
- Beam pump displacement
- PD (bbl/day) = 0.1166 * D^2 * S * N, with plunger diameter and stroke in inches and N in strokes per minute; volumetric efficiency reduces the actual produced volume.
- Water cut
- WC = qw/(qw + qo). Total liquid rate equals oil rate divided by (1 - WC), which sizes surface facilities and drives emulsion-treating requirements.
- TEG gas dehydration
- Triethylene glycol absorbs water from natural gas, reaching about 7 lb H2O/MMscf pipeline specification. Glycol is regenerated in a reboiler held below about 204 C to avoid degradation.
- Nodal analysis operating point
- The intersection of the inflow performance relationship and the tubing outflow performance curve. It defines the stable producing rate and bottomhole flowing pressure for the well system.