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Pressure-pumping engineering reference
Hydraulic Horsepower Chart: PSI, GPM, BPM & HHP
Calculate theoretical hydraulic horsepower from pressure and flow, then use the result as the first screening step for a high-pressure triplex or quintuplex plunger pump. The static charts below cover PSI × GPM and 5,000–20,000 psi × 1–30 BPM without a calculator.
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Direct answer Formula PSI × GPM chart PSI × BPM chart BPM conversions Pump selection GPE pump range RFQ checklist FAQ
Direct Answer: How Do You Calculate Hydraulic Horsepower?
For US oilfield units, theoretical hydraulic horsepower (HHP) equals pressure in psi multiplied by flow in US gallons per minute, divided by 1,714. If flow is in barrels per minute, multiply BPM by 42 to obtain GPM first.
PSI × GPM: HHP = PSI × GPM ÷ 1,714
PSI × BPM: HHP = PSI × BPM × 42 ÷ 1,714
Fast BPM form: HHP ≈ PSI × BPM ÷ 40.81
Example: 10,000 psi at 10 BPM is 420 GPM and requires approximately 2,450 theoretical HHP. This is fluid power, not a final pump or engine rating.
Selection warning: Never choose a pump from HHP alone. Confirm rated input horsepower, rod-load limit, plunger size, stroke, speed, fluid-end pressure rating, duty cycle, suction conditions, fluid properties, prime mover, gearbox and every pressure-containing component in the discharge system.
Hydraulic HP Formula and Unit Definitions
HHP = Pressure (psi) × Flow (GPM) ÷ 1,714
The constant 1,714 converts psi·US gal/min into horsepower. The result is the rate of useful hydraulic energy delivered to the fluid under the stated pressure and flow conditions.
HHP = Pressure (psi) × Flow (BPM) × 42 ÷ 1,714
One oilfield barrel is 42 US gallons. Therefore, 1 BPM equals 42 GPM, and the abbreviated BPM equation is HHP ≈ PSI × BPM ÷ 40.81.
Metric form
Hydraulic power (kW) = Pressure (bar) × Flow (L/min) ÷ 600
Use consistent units and the actual operating pressure at the pump discharge when estimating the pump duty. Wellhead pressure alone may omit flowline and manifold losses.
PSI × GPM to Hydraulic Horsepower Chart
Values are theoretical HHP rounded to one decimal. They do not include mechanical, volumetric, drive-train or accessory losses.
Theoretical HHP = PSI × GPM ÷ 1,714
Pressure | 10 GPM | 25 GPM | 50 GPM | 100 GPM | 250 GPM | 500 GPM
1,000 psi | 5.8 | 14.6 | 29.2 | 58.3 | 145.9 | 291.7
3,000 psi | 17.5 | 43.8 | 87.5 | 175.0 | 437.6 | 875.1
5,000 psi | 29.2 | 72.9 | 145.9 | 291.7 | 729.3 | 1,458.6
7,500 psi | 43.8 | 109.4 | 218.8 | 437.6 | 1,093.9 | 2,187.9
10,000 psi | 58.3 | 145.9 | 291.7 | 583.4 | 1,458.6 | 2,917.2
15,000 psi | 87.5 | 218.8 | 437.6 | 875.1 | 2,187.9 | 4,375.7
20,000 psi | 116.7 | 291.7 | 583.4 | 1,166.9 | 2,917.2 | 5,834.3
PSI × BPM to HHP Chart for Pressure Pumping
This matrix uses 1 barrel = 42 US gallons. Values are theoretical hydraulic horsepower rounded to the nearest whole HHP.
Theoretical HHP at 5,000–20,000 psi and 1–30 BPM
Pressure | 1 BPM | 5 BPM | 10 BPM | 15 BPM | 20 BPM | 25 BPM | 30 BPM
5,000 psi | 123 | 613 | 1,225 | 1,838 | 2,450 | 3,063 | 3,676
7,500 psi | 184 | 919 | 1,838 | 2,757 | 3,676 | 4,595 | 5,513
10,000 psi | 245 | 1,225 | 2,450 | 3,676 | 4,901 | 6,126 | 7,351
12,500 psi | 306 | 1,532 | 3,063 | 4,595 | 6,126 | 7,658 | 9,189
15,000 psi | 368 | 1,838 | 3,676 | 5,513 | 7,351 | 9,189 | 11,027
20,000 psi | 490 | 2,450 | 4,901 | 7,351 | 9,802 | 12,252 | 14,702
Reading the chart: 15,000 psi at 5 BPM requires about 1,838 theoretical HHP. At the same pressure, doubling flow to 10 BPM doubles HHP to about 3,676. Pressure and flow have a linear effect in the theoretical equation.
BPM to GPM, LPM, L/s and m³/h Conversion
Use this helper table before applying the PSI × GPM formula. LPM values use 1 US gallon = 3.785411784 liters.
Oilfield flow-rate conversions
BPM | GPM | LPM | L/s | m³/h
1 | 42 | 159.0 | 2.65 | 9.54
5 | 210 | 794.9 | 13.25 | 47.70
10 | 420 | 1,589.9 | 26.50 | 95.39
15 | 630 | 2,384.8 | 39.75 | 143.09
20 | 840 | 3,179.7 | 53.00 | 190.78
25 | 1,050 | 3,974.7 | 66.24 | 238.48
30 | 1,260 | 4,769.6 | 79.49 | 286.18
Hydraulic Horsepower vs Rated Pump Horsepower
Theoretical hydraulic horsepower
HHP describes power transferred to the fluid at a stated pressure and delivered flow. It is a duty-point calculation.
Rated pump horsepower
Rated HP is a manufacturer-defined equipment limit under specified speed, loading, configuration and service conditions. It is not automatically equal to usable HHP.
A pump and drive must supply more input power than the theoretical hydraulic output because real systems have losses. For preliminary screening:
Required input HP ≈ HHP ÷ overall efficiency
If a purely illustrative overall efficiency of 90% were assumed, 2,450 HHP would require about 2,722 input HP before any additional design margin or accessory load. Do not use 90% as a GPE model guarantee. Obtain the approved performance curve and duty-point efficiency for the selected configuration.
Mechanical efficiency
Mechanical efficiency accounts for power lost through gears, bearings, crossheads, seals and other moving components. It connects drive input to power available at the plungers.
Volumetric efficiency
Volumetric efficiency compares actual delivered flow with theoretical displacement. Valve timing, leakage, fluid compressibility, gas entrainment, packing condition and suction filling can reduce actual flow.
Two different checks: use volumetric efficiency to estimate the displacement and speed needed for a target delivered flow; use overall efficiency to estimate input power from theoretical HHP.
How to Work Backward from Pressure and Flow to a Pump Class
– Define the duty envelope. State normal, maximum and transient pressure; minimum, normal and maximum flow; and how long each point must be maintained.
– Calculate theoretical HHP. Use the actual pump discharge pressure, including estimated pressure loss between pump and wellhead or process connection.
– Estimate required input power. Divide HHP by a defensible overall efficiency from the pump supplier, then include the approved service factor and accessory loads.
– Check displacement. Verify plunger diameter, stroke, pump speed, number of plungers and volumetric efficiency can deliver the required flow.
– Check force and structure. Confirm rod load, crankshaft/gear limits, bearings and power-end ratings at the proposed pressure and plunger size.
– Check every pressure boundary. The fluid end, valves, seats, packing, discharge connection, relief equipment, check valves, plug valves, unions, flow iron and manifold must suit the same pressure, fluid and service class.
– Review the complete package. Confirm prime mover, transmission, cooling, lubrication, controls, suction system, pulsation control, footprint, transport limits and maintenance access.
Why rod load and plunger size matter
The simplified hydraulic force on one plunger is pressure multiplied by effective plunger area: F = P × A, where A = πd² ÷ 4. At the same pressure, a larger plunger creates more force and displacement per stroke. A smaller plunger reduces hydraulic force but also reduces displacement, so more speed, more plungers or multiple pumps may be needed to maintain flow.
Actual allowable rod load and pressure must come from the approved pump configuration. Dynamic loads, inertia, valve action, packing friction, pressure pulsation and the manufacturer’s operating envelope are not captured by the simplified static equation.
Practical limits that HHP does not show
– Maximum continuous and intermittent pump speed
– Maximum rated rod load
– Plunger diameter and stroke
– Fluid-end and connection pressure rating
– Fluid density, viscosity, temperature and chemistry
– Proppant size, concentration and abrasiveness
– Suction pressure, acceleration head and cavitation margin
– Discharge-line and manifold pressure loss
– Prime-mover power and ambient derating
– Gearbox ratio, torque and thermal limit
– Duty cycle and maintenance interval
– Pulsation, vibration and piping restraint
– Relief capacity and set-pressure basis
– Applicable service, material and inspection requirements
GPE High-Pressure Plunger Pump Range
The following values reproduce the public specifications on GPE product pages as checked on August 7, 2026. They are model-reference data, not a promise that every pressure-and-flow combination in the charts is available. Final performance requires configuration review and an approved quotation.
GPE quintuplex plunger pump model references
Public GPE quintuplex specifications
Model class | Rated power | Rod load | Stroke | Drive ratio | Published application
2500 | 2,500 HP | 192,325 lbf | 8 in (203 mm) | 6.353:1 | Fracturing / acidizing
2800 | 2,800 HP | 229,305 lbf | 8 in (203 mm) | 6.333:1 | Fracturing
3000 | 3,000 HP | 230,000 lbf | 10 in (254 mm) | 6.933:1 | Fracturing / acidizing
5000 | 5,000 HP | 380,000 lbf | 12 in (304.8 mm) | 5.087:1 | Heavy fracturing
The GPE page publishes “up to 140 MPa” for the 2800 reference only; it does not publish numeric maximum pressure for the other three entries in that table. Confirm the selected fluid end, plunger and complete pump rating rather than extending one model’s pressure value to another.
View the GPE Quintuplex Plunger Pump page
GPE triplex plunger pump model references
Public GPE triplex specifications
Model | Rated power | Rod load | Stroke | Published application
HT400 | 400 HP | 180,000 lbf | 8 in (203 mm) | Cementing / fracturing
BY3-600 | 600 HP | 100,000 lbf | 6 in (152 mm) | General pumping
BY3-2250 | 2,250 HP | 229,305 lbf | 8 in (203 mm) | Fracturing / heavy duty
View the GPE Triplex Plunger Pump page or browse the Plunger Pump category .
Triplex vs quintuplex: which should you screen first?
Triplex
Three plungers. GPE positions its reference range for general pumping, cementing, fracturing and heavy-duty service. A triplex can be a practical choice when its approved speed, rod load, pressure, flow and duty envelope match the job.
Quintuplex
Five plungers. GPE describes the five-cylinder arrangement as providing higher flow and smoother output with reduced pressure fluctuation, and publishes 2,500–5,000 HP model classes for demanding oilfield service.
Cylinder count alone does not select the pump. Compare the complete performance curve, allowable operating envelope, maintenance plan, package power and lifecycle requirements.
Fluid end and high-pressure system compatibility
GPE’s Frac Pump Fluid End page lists compatibility with 2,500, 2,800, 3,000 and 5,000 HP frac pumps; integral or split construction; alloy-steel or optional stainless-steel material; and 10,000 or 15,000 psi options, with customization. It also lists standard or optional sour service, UT/MT/PT and hydrostatic testing, MTRs and full heat traceability as available.
Important: A fluid-end pressure option does not by itself establish the operating rating of the complete pump package or flowline. The lowest-rated component and the approved operating documentation control the system limit.
For a complete pressure-pumping line, also review the GPE High-Low Pressure Manifold Skid , High-Pressure Check Valve , High-Pressure Plug Valve , Hammer Union , Emergency Relief Valve and Flowline & Frac Manifolds . Match size, working pressure, connection, temperature and service fluid across the system.
High-Pressure Plunger Pump RFQ Checklist
Send enough duty information for engineering to check power, displacement, rod load and pressure containment together:
– Application: fracturing, acidizing, cementing, testing or transfer
– Normal and maximum discharge pressure
– Normal and maximum delivered flow in GPM, BPM or LPM
– Continuous, intermittent and transient duty points
– Required operating hours and duty cycle
– Fluid name, density, viscosity and temperature
– Solids or proppant type, size and concentration
– Corrosion, H₂S or sour-service requirements
– Available suction pressure and piping arrangement
– Preferred electric, diesel or hydraulic drive
– Site altitude, ambient temperature and hazardous-area needs
– Required plunger sizes or existing pump model
– Discharge connection, manifold and flow-iron interface
– Material, inspection, testing and documentation requirements
– Package footprint, weight and transport constraints
– Quantity, delivery destination and target schedule
Hydraulic Horsepower FAQ
What is the hydraulic horsepower formula for PSI and GPM?
HHP = PSI × GPM ÷ 1,714. This calculates theoretical power transferred to the fluid.
How do I calculate HHP from PSI and BPM?
Multiply BPM by 42 to convert to GPM, then use HHP = PSI × GPM ÷ 1,714. The combined formula is HHP = PSI × BPM × 42 ÷ 1,714.
How much HHP is 10,000 psi at 10 BPM?
10 BPM equals 420 GPM. Therefore, 10,000 × 420 ÷ 1,714 is approximately 2,450 theoretical HHP.
How much HHP is 15,000 psi at 5 BPM?
5 BPM equals 210 GPM. Therefore, 15,000 × 210 ÷ 1,714 is approximately 1,838 theoretical HHP.
Is one BPM always 42 GPM?
In US oilfield usage, one barrel is 42 US gallons, so one barrel per minute equals 42 US gallons per minute. Confirm that “barrel” is not being used for a different local unit.
Does 3,000 HHP mean I should buy a 3,000 HP pump?
No. HHP is fluid output power, while rated pump HP is an equipment input rating under defined limits. Losses and operating margin mean required input power can exceed theoretical HHP, and rod load, speed and pressure limits may control first.
Should efficiency be included in the HHP formula?
The basic HHP formula gives theoretical fluid power from actual pressure and flow. Efficiency is applied afterward when estimating required shaft or drive input power. Use supplier-approved efficiency at the duty point.
What is the difference between mechanical and volumetric efficiency?
Mechanical efficiency describes losses in the power path and moving components. Volumetric efficiency describes how actual delivered flow compares with theoretical displacement.
Can HHP alone determine plunger size?
No. Plunger size affects both force and displacement. Selection also needs pressure, flow, stroke, speed, cylinder count, volumetric efficiency, rod load and the approved pump operating envelope.
How does rod load limit maximum pressure?
Hydraulic force rises with pressure and effective plunger area. For a given rod-load limit, a larger plunger generally reaches that force limit at a lower pressure. The manufacturer’s dynamic rating and approved configuration control.
Is a quintuplex pump always better than a triplex pump?
No. A quintuplex can provide smoother output and high flow, while a triplex may suit the required duty with a simpler or more economical configuration. Select from verified performance and lifecycle requirements.
Can a 15,000 psi fluid end operate continuously at 15,000 psi?
Do not assume so from the pressure label alone. Confirm working-pressure definition, duty cycle, plunger size, pump model, fluid, temperature, fatigue basis and the rating of every connected component.
Should line pressure loss be added to wellhead pressure?
Yes, when calculating the pump discharge duty. Estimate losses through flow iron, valves, fittings and manifolds at the required flow, then use the expected pump discharge pressure.
How do I size several frac pumps for one total rate?
Divide the required total flow among the planned operating pumps, calculate each pump’s duty point, and retain the approved redundancy and operating margin. Then confirm the manifold can handle total combined flow and pressure.
What information should I send for a pump quotation?
Send normal and maximum pressure and flow, duty cycle, fluid and solids data, suction conditions, drive preference, site conditions, required connections, service class, documentation, quantity and delivery location.
Calculation and product-data note: Chart values use the published engineering relationships shown on this page, 1 bbl = 42 US gal and 1 US gal = 3.785411784 L. GPE model and fluid-end statements were checked against the current GPE Triplex Plunger Pump, Quintuplex Plunger Pump and Frac Pump Fluid End pages on August 7, 2026. Website data is a preliminary reference; approved quotations, drawings, data sheets and nameplates control supplied equipment.
Turn Your Pressure and Flow Target into a Verified Pump Configuration
Send GPE the operating pressure, delivered flow, duty cycle, fluid, solids, suction conditions and drive preference. The engineering team can screen the required HHP against pump power, rod load, plunger size, fluid end and high-pressure system components.
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