Aquifer Drawdown Calculator
Calculate aquifer drawdown from pumping rate and specific capacity. Estimate water level decline during irrigation pumping to plan operations.
Calculate water horsepower and brake horsepower for irrigation pumps from GPM, TDH, and pump efficiency. Size your motor correctly.
| Motor Size (HP) | Sufficient? | Annual Cost | Note |
|---|---|---|---|
| 75 HP | ✓ Minimum | $13,436.00 | Just meets BHP requirement |
| 100 HP | ✓ Recommended | $17,914.67 | 25% service factor margin |
| 125 HP | ✓ Oversized | $22,393.33 | Extra capacity/durability |
Pump efficiency of 75% is typical for centrifugal pumps at design point. Efficiency drops off-curve, so oversizing pumps (and throttling) wastes energy.
Variable Frequency Drives (VFDs) can reduce energy consumption 20–40% in systems with variable load by adjusting motor speed to match demand. At part-load, pump efficiency remains near peak (cube law savings).
Annual cost at current rates ($0.12/kWh): $12,056.57. Over 10 years: $120,565.70.
Sizing an irrigation pump motor begins with calculating two horsepower values: water horsepower (WHP) and brake horsepower (BHP). WHP is the theoretical minimum power needed to move water at a given flow rate and head. BHP accounts for pump losses and is always higher — it is the actual power the motor must deliver to the pump shaft.
The relationship is simple: BHP = WHP divided by pump efficiency. A pump rated at 75% efficiency requires 33% more horsepower than the theoretical minimum. Motor selection must meet or exceed BHP to avoid overloading.
This page turns flow, head, and efficiency into the motor size range needed for the pump instead of leaving it as a catalog guess.
Motor sizing errors are expensive either way. This page helps compare required horsepower with the motor you plan to install.
WHP = (GPM × TDH) / 3960
BHP = WHP / (Pump Efficiency / 100)
kW = BHP × 0.746Result: WHP = 50.5 HP; BHP = 67.3 HP (50.2 kW)
WHP = (800 × 250) / 3960 = 50.5 HP. BHP = 50.5 / 0.75 = 67.3 HP. In kW: 67.3 × 0.746 = 50.2 kW. A 75 HP motor provides adequate margin.
Always select the next standard motor size above BHP. For 67 BHP, use a 75 HP motor. This provides a safety margin for fluctuating conditions, start-up loads, and minor efficiency degradation over time.
Single-stage centrifugal pumps are used for low-head, high-flow applications. Multi-stage vertical turbine pumps add stages to develop high head for deep wells. Each stage adds about 25–40 ft of head. BHP increases linearly with stage count.
Three-phase motors at full load typically have 90–95% efficiency and 85–92% power factor. Running a motor at 50% load drops efficiency and power factor, increasing utility costs. Proper sizing ensures full-load operation.
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WHP is the theoretical power needed to lift water at a given flow and head with zero losses. It represents 100% pump efficiency. Real pumps always require more power due to hydraulic, mechanical, and volumetric losses.
BHP is the actual power the motor must deliver to the pump shaft. It accounts for pump efficiency losses. BHP = WHP / pump efficiency.
WHP assumes a perfect pump. Real pumps lose 15–40% of input power to friction, leakage, and turbulence. A motor sized at WHP would be severely undersized.
The pump manufacturer's performance curve shows efficiency at various flow rates. A field pump test gives actual efficiency. New pumps: 70–82%; aged pumps: 50–65%.
It converts GPM and feet of head to horsepower: 1 HP = 33,000 ft·lbs/min. Since 1 gallon weighs 8.33 lbs, 33,000 / 8.33 = 3,960.
Size the motor frame and nameplate HP to match BHP. The motor's own efficiency determines the electric input (kW) from the grid, which you use for energy cost and breaker/wire sizing.
Calculate aquifer drawdown from pumping rate and specific capacity. Estimate water level decline during irrigation pumping to plan operations.
Calculate crop evapotranspiration ETc by multiplying reference ET₀ by the crop coefficient Kc. Determine daily water use by growth stage.
Calculate the energy cost to pump irrigation water from GPM, total dynamic head, pump efficiency, motor efficiency, run hours, and electricity rate.