Artificial Lift LAMBDAs

Converts pressure to head using fluid specific gravity, [m] (SI units).

Converts head to pressure using fluid specific gravity, [kPa] (SI units).

Calculates static head from vertical depth, [m] (SI units).

Calculates pressure at depth given surface pressure, [kPa] (SI units).

Calculates Total Dynamic Head for ESP sizing, [m] (SI units).

Extended TDH calculation with IPR-based PIP, [m] (SI units).

Calculates net vertical lift (pump depth minus fluid level), [m] (SI units).

Calculates theoretical hydraulic horsepower (bbl/d basis), [kW] (SI units).

Calculates theoretical hydraulic horsepower (gpm basis), [kW] (SI units).

Calculates brake horsepower accounting for pump efficiency, [kW] (SI units).

Calculates brake horsepower directly from rate and head, [kW] (SI units).

Calculates required number of pump stages (rounded up), [stages] (SI units).

Returns exact (non-rounded) stage count for sensitivity analysis, [stages] (SI units).

Calculates total head from number of stages, [m] (SI units).

Calculates total power from number of stages, [kW] (SI units).

Calculates pump efficiency from hydraulic and brake HP, [fraction] (SI units).

Calculates pump discharge pressure, [kPa] (SI units).

Calculates free gas rate at pump intake conditions, [m3/d] (SI units).

Calculates total liquid rate at pump intake, [m3/d] (SI units).

Calculates gas void fraction at pump intake, [fraction] (SI units).

Complete gas void fraction calculation from field data, [fraction] (SI units).

Calculates gas-liquid mixture density, [kg/m3] (SI units).

Calculates Turpin gas handling factor, [dimensionless] (SI units).

Estimates rotary gas separator efficiency, [fraction] (SI units).

Interpolates head from pump performance curve, [m/stage] (SI units).

Interpolates efficiency from pump performance curve, [fraction] (SI units).

Interpolates power per stage from pump curve, [kW] (SI units).

Returns Best Efficiency Point flow rate from pump curve, [m3/d] (SI units).

Returns maximum efficiency value from pump curve, [fraction] (SI units).

Applies viscosity correction to head, [m] (SI units).

Applies viscosity correction to flow rate, [m3/h] (SI units).

Calculates minimum motor horsepower with safety factor, [kW] (SI units).

Calculates motor current draw (3-phase), [A] (SI units).

Calculates current from motor nameplate data, [A] (SI units).

Calculates motor load as fraction of rating, [fraction] (SI units).

Estimates motor temperature at operating conditions, [degC] (SI units).

Calculates minimum flow rate for motor cooling, [m3/d] (SI units).

Returns cable resistance at temperature, [ohm/km] (SI units).

Calculates voltage drop in ESP cable (3-phase), [V] (SI units).

Complete voltage drop calculation, [V] (SI units).

Determines minimum cable size for voltage drop limit, [AWG] (SI units).

Calculates power loss in cable, [kW] (SI units).

Calculates power loss as percentage of motor power, [%] (SI units).

Estimates cable temperature with current, [degC] (SI units).

Simplified friction head calculation, [m] (SI units).

Calculates Absolute Open Flow potential, [m3/d] (SI units).

Calculates drawdown at given production rate, [kPa] (SI units).

Calculates submergence above pump intake, [m] (SI units).

Calculates dome pressure at depth from surface dome pressure, [kPa] (SI units).

Calculates test rack opening pressure at 60°F, [kPa] (SI units).

Calculates valve closing pressure, [kPa] (SI units).

Calculates valve spread (opening minus closing pressure), [kPa] (SI units).

Calculates gas throughput using Thornhill-Craver equation, [sm3/d] (SI units).

Calculates injection gas pressure at depth, [kPa] (SI units).

Calculates gas gradient in the annulus, [kPa/m] (SI units).

Calculates required gas injection rate for target GLR, [sm3/d] (SI units).

Calculates total GLR including formation and injected gas, [sm3/sm3] (SI units).

Calculates theoretical pump displacement, [m3/d] (SI units).

Calculates theoretical pump displacement from plunger diameter, [m3/d] (SI units).

Calculates effective pump displacement accounting for fillage, [m3/d] (SI units).

Calculates pump fillage from actual and theoretical production, [fraction] (SI units).

Calculates volumetric efficiency of the pump system, [fraction] (SI units).

Calculates effective plunger stroke from surface stroke and stretch, [cm] (SI units).

Calculates submergence pressure from fluid column height, [kPa] (SI units).

Calculates pump intake pressure (PIP), [kPa] (SI units).

Calculates rod string weight in air, [N] (SI units).

Calculates buoyant rod string weight (weight in fluid), [N] (SI units).

Calculates rod cross-sectional area from diameter, [cm2] (SI units).

Calculates rod weight per foot for a given diameter, [kg/m] (SI units).

Calculates rod stretch due to fluid load, [cm] (SI units).

Calculates rod stretch due to rod weight (self-weight stretch), [cm] (SI units).

Calculates total static rod stretch (fluid load + self-weight), [cm] (SI units).

Calculates maximum rod stress from peak load, [kPa] (SI units).

Calculates minimum rod stress from minimum load, [kPa] (SI units).

Calculates rod stress range (fatigue indicator), [kPa] (SI units).

Calculates fluid load on plunger, [N] (SI units).

Calculates Peak Polished Rod Load using API 11L method, [N] (SI units).

Calculates Minimum Polished Rod Load using API 11L method, [N] (SI units).

Calculates simplified PPRL (static, no dynamic effects), [N] (SI units).

Calculates simplified MPRL (static, no dynamic effects), [N] (SI units).

Calculates polished rod load range (PPRL - MPRL), [N] (SI units).

Calculates ideal counterbalance effect from rod weight and fluid load, [N] (SI units).

Calculates ideal counterbalance effect from PPRL and MPRL, [N] (SI units).

Calculates counterbalance adjustment needed, [N]. Positive = add weight (SI units).

Calculates net gearbox torque at a given crank angle, [N.m] (SI units).

Calculates estimated peak net torque (simplified), [N.m] (SI units).

Calculates polished rod horsepower, [kW] (SI units).