| pumping_energy_source | thermal_efficiency |
|---|---|
| Diesel (ag equipment) | 0.303 |
| LPG | 0.247 |
| Natural gas | 0.226 |
| Gasoline | 0.236 |
| Electricity (grid) | 0.906 |
Irrigation Pumping
Methods 5.0
Introduction
Energy is required to lift and pressurize water for irrigation (Eisenhauer et al. 2021). For growers who apply irrigation water, the energy required to run irrigation pumps could be a significant contributor of on-farm energy use. The irrigation pump energy (\(PE\)) component is included in the energy and emission calculations for irrigated crops, as indicated by the grower. The estimated \(PE\) represents only the on-farm, mechanical portion of energy use; the methods below will also describe how indirect energy use (and emissions) are calculated.
Secondary water sources
A user may enter a second source of irrigation water that has a different depth and pressure requirements for pumping than the first source. If more than one water source is entered, the \(PE\) will need to be calculated separately for each source and then summed for total \(PE\).
Currently water source options may include:
- Deep aquifer groundwater
- Alluvial groundwater
- Surface water
- Combination
The selection here may affect a water conservation component within the Habitat Potential Index, but does not affect the \(PE\) calculation as that depends on other factors (e.g., depth, pressure, etc) described in the next section.
Methods
In the last version of the Fieldprint Platform, a user had the option of entering the actual energy consumed by a pump used for irrigating a crop. They could enter the total kWh or amount of fuel consumed. However, beginning in version 5.0 of the Fieldprint Platform, this option for direct input will be removed to simplify the user interface and because the information is unlikely to be handy to most users.
The method used for estimating energy consumption due to irrigation pumping is based on user inputs that engineering equations. The user enters data about the pumping system parameters, including:
pumping lift
- vertical distance from the pump base to the water level when not pumping (static water level).
- For groundwater sources, add the depth of groundwater drawdown to the static water level depth.
- Enter the average total depth (feet) of the water source throughout the growing season. Approximation is acceptable.
- vertical distance from the pump base to the water level when not pumping (static water level).
pumping pressure
gross water pumped for crop irrigation
- “the total irrigation requirement including net crop requirement plus any losses incurred in distributing and applying water and in operating the system. It is generally expressed as volume of water per unit area (acre-inches per acre; or inches). (Source: ASAE 526.2)” (USDA-NRCS, n.d.)
- not the net amount of water that reaches the crop root zone
To estimate \(PE\), the ideal amount of energy used to pump the water is divided by the overall irrigation system efficiency (Hoffman, Howell, and Solomon 1990; Eisenhauer et al. 2021), which will be between 0 - 1, or 0 - 100%.
Irrigation system efficiency
Components of irrigation efficiency include:
| Component | Efficiency (%) | Symbol |
|---|---|---|
| Application | ratio of the pumped water stored in the crop root zone to the gross water pumped; not used for Energy calculations | \(e_a\) |
| Pump1 | 0.75 | \(e_p\) |
| Drive2 |
|
\(e_o\) |
| Power Unit, or Thermal | Table 3 | \(e_e\) or \(e_q\) |
1 Modified for gross water pumped, \(D_g\), as the original \(D_n\) is divided by \(e_a\). Since \(e_a = \frac{D_n}{D_g}\) , the terms cancel out. Also, we chose \(e\) to represent efficiency, not \(E\), which is more commonly used for Energy. Considering thermal efficiency and power unit to be synonymous, and replaced with single \(e_q\) term.
2 Eisenhauer et al. (2021)
The Fieldprint Calculator previously assumed an overall irrigation system efficiency (\(e_i\)) of 0.7125 based on section 19.3 from Hoffman et al. (1990, Pump x Drive = 0.75 x 0.95 = 0.7125). Peacock (1996) notes that 0.70 is a reasonable value for pumping efficiency, and can be used in estimating the amount of energy needed to lift the reported amount of water. However, the implementation in Fieldprint Platform 4.0 omitted accounting for thermal losses of energy at the power unit. In other words, the energy needed to lift the water is not equivalent to the energy needed to compensate for power unit losses and lift the water.
Hoffman, Howell, and Solomon (1990) mentioned a power unit energy efficiency (\(e_e\)) in Equation 19.1, which will be incorporated in version 5.0 of Fieldprint Platform as the power unit, or thermal, efficiency. This improvement will lead to a lower \(e_i\) for non-electric pumping systems, and therefore increased energy use and emissions for irrigation activities. Electric pumping systems may get similar energy use values.
Sources confirm that the efficiency of diesel and electric motors, for example, are roughly as follows:
| Motor Type | Hoffman | Martin et al. (2011) | Arkansas (2024) | Harrison (2012) |
|---|---|---|---|---|
| Diesel | 0.303 | 0.31 | 0.18-0.35 | 0.25-0.5 |
| Electric | 0.906 | 0.88 | 0.75-0.85 | 0.85-0.92 |
The last two columns reflect overall efficiency, not just power unit (thermal) efficiency.
Power Unit (Thermal) Efficiency
The power unit efficiency (\(e_q\)) accounts for thermal energy losses (i.e. heat, or \(q\) ). It comes from the difference between the representative, or theoretical, energy content of the energy source and the actual brake energy produced per unit of input (see Table 3).
As an example, consider the case in which diesel fuel was used as the pump’s energy source. Let’s assume the energy needed to pump water was 1 unit of energy. If 1 unit of diesel fuel contains 1 unit of energy, we might assume 1 unit of diesel was needed and used. However, this assumption ignores thermal efficiency. When that unit of diesel was burned, only ~30% of the energy was converted by the power unit into work; the rest was lost as heat. Therefore, the pump actually used ~3.3 units of diesel to provide 1 unit of energy.
Testing
After accounting for power unit efficiency, the revised \(PE\) formula (Equation 1) gave an energy estimate within 10% of the output given by the USDA-NRCS Irrigation Energy Estimator tool. The NRCS tool uses national averages and indicates the potential for variability (USDA-NRCS, n.d.).
Application Efficiency
The Fieldprint Platform asks for the gross volume of water applied, not the net volume (water pumped - water losses); energy use is dependent on the pump running. The net volume available to the crop depends on factors such as the efficiency at which the irrigation water was applied (\(e_a\)) to the cropland, which will be less than 100% (Washington State 2024). That information could be used to inform water use efficiency beyond the Energy Use metric.
Inputs
| Input | Value | Units | Symbol |
|---|---|---|---|
| Effective irrigated area | User entry | ac (converted to ha) |
\(A_i\) |
| Irrigation method | User selection:
|
- | - |
| Irrigation water source | User selection:
|
- | - |
| Gross depth (volume) of water pumped per acre for crop irrigation | User entry from water meter or via Fieldprint Platform Estimator tool3 | acre-inch/acre (converted to mm) |
\(D_g\) |
| Do you use energy4 to irrigate the field through pumping? | Yes/No | - | - |
| Pumping pressure | User entry (commonly 0-130) | psi | \(P\) |
| Pumping lift | User entry (commonly 0-1500) | feet | \(L\) |
| Energy source | User selection; Diesel, LPG, Natural gas, Electricity, Gasoline | ||
| Pumping units conversion factor | 0.0979 | \(CF_{pump}\) | |
| Pressure conversion factor | 0.703448 | psi mhead-1 | |
| Length conversion factor | 0.3048 | ft mhead-1 | |
| Energy conversion factor | 947.81712 | BTU MJ-1 | \(CF_{mj}\) |
3 Opens in pop-up window for user.
4 Some irrigation is achieved by gravity only.
Formula
Pumping energy is the energy to pump the total volume of water (\(E_{ideal}\)) divided by the irrigation system efficiency (\(e_i\)). The formula below is based5 on Hoffman, Howell, and Solomon (1990) (see Eq. 19-1 pp 722). The symbols are listed in the table above.
5 Modified for gross water pumped, \(D_g\), as the original \(D_n\) is divided by \(e_a\). Since \(e_a = \frac{D_n}{D_g}\), the terms cancel out. Also, we chose \(e\) to represent efficiency, not \(E\), which is more commonly used for Energy. Considering thermal efficiency and power unit to be synonymous, and replaced with single \(e_q\) term.
\[ PE = \frac{E_{ideal}}{e_i} = \frac{(P + L) \times D_g \times A \times CF_{pump} \times CF_{mj}}{e_p \times e_o \times e_q} \tag{1}\]
Steps
Throughout these steps, make sure all unit conversions are accounted for.
Calculate the total head (\(P + L\)).
Calculate the ideal energy (\(E_{ideal}\)) .
Calculate the overall irrigation efficiency (\(e_i\)) .
Divide ideal energy by \(e_i\).
- If there is a secondary irrigation source, this calculation process will be repeated using new user input values.
Calculate total fuel or electricity used
\[ V_{diesel} = \frac{PE}{E_{diesel}} \]
Calculate all direct and indirect energy and emission components
Up to this point, only direct energy use has been estimated. Knowing, for example, the amount of diesel used on-farm for pumping allows us to determine not only the direct emissions of component GHGs due to combustion, but also the upstream energy and emissions associated with the diesel (e.g. manufacturing).
In this case, the amount of diesel is multiplied by a given component’s energy or emission factor per gallon (Table 4) . Lastly, standardize to kg CO2e with Global Warming Potential factors (CO2 = 1, CH4 = 27, N20 = 273).
For example: \(Upstream\ CO_2 = V_{diesel} * C_{upstream\ CO_2} * GWP_{CO_2}\), where \(C\) is a constant for upstream CO2 emissions (units = kg gal-1) and \(GWP\) in this case would be 1.
Example
A grower is thinking about switching to an electric pump due to higher diesel prices. The Fieldprint Calculator puts her farm in the SPNO eGRID region based on field location. The grower pumped 10 acre-inches of water for her 100 acre wheat field. The 40 psi, diesel-powered pump drew from an average depth of 250 feet. How much energy and emissions are associated with this field? How would emissions change if she switched to electric?
To pump 10 arce-inch of water for irrigation on 100 acres, 3,355 gal of diesel were used, resulting in 539,833 MJ of total energy use and 38,866 kg CO2e emitted.
By switching to an electric pump, total energy use was greater at 945,935 MJ or about 42.9 MWh , but with fewer total emissions of 20,538 kg CO2e. The electric pump emissions could be 47.2% less than the diesel pump emissions.
Result tables
| metric | system_boundary | source_category | CO2_fossil | CO2_biogenic | CH4_fossil | CH4_biogenic | N2O | MJ | units |
|---|---|---|---|---|---|---|---|---|---|
| Energy Use | Upstream | Energy use associated with production of fuels | 0.000 | 0 | 0.0000 | 0 | 0.00000 | 53482.44 | MJ |
| Energy Use | On-Farm Mechanical | Energy use associated with stationary machinery | 0.000 | 0 | 0.0000 | 0 | 0.00000 | 486350.61 | MJ |
| GHG Emissions | Upstream | GHG emissions associated with production of fuels | 3270.534 | 0 | 232.8780 | 0 | 17.89084 | 0.00 | kg_CO2e |
| GHG Emissions | On-Farm Mechanical | GHG emissions associated with stationary machinery | 34237.954 | 0 | 126.9118 | 0 | 979.55387 | 0.00 | kg_CO2e |
| metric | system_boundary | source_category | CO2_fossil | CH4_fossil | CH4_biogenic | N2O | NF3 | SF6 | MJ | units |
|---|---|---|---|---|---|---|---|---|---|---|
| Energy Use | Upstream | Energy use associated with electricity generation and distribution | 0.00 | 0.00 | 0.000000 | 0.00000 | 0.0000000 | 0.00000 | 945934.8 | MJ |
| GHG Emissions | Upstream | GHG emissions associated with electricity generation and distribution | 19907.39 | 545.63 | 1.191602 | 82.30514 | 0.0010829 | 1.02432 | 0.0 | kg_CO2e |
Tables
Thermal Efficiency
Energy and Emission Factors
| metric | system_boundary | source_category | source_detail | pumping_energy_source | subregion | CO2_fossil | CO2_biogenic | CH4_fossil | CH4_biogenic | N2O | NF3 | SF6 | MJ |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| GHG Emissions | Upstream | GHG emissions associated with electricity generation and distribution | Irrigation Operations | Electricity (grid) | Electricity (grid) | AKGD | 512.7149 | NA | 0.6143385 | 0.0035084 | 0.0061415 | 0 | 0.0000000 | 0 |
| GHG Emissions | Upstream | GHG emissions associated with electricity generation and distribution | Irrigation Operations | Electricity (grid) | Electricity (grid) | AKMS | 247.1273 | NA | 0.1314090 | 0.0007640 | 0.0020166 | 0 | 0.0000000 | 0 |
| GHG Emissions | Upstream | GHG emissions associated with electricity generation and distribution | Irrigation Operations | Electricity (grid) | Electricity (grid) | AZNM | 383.9731 | NA | 0.4666912 | 0.0024147 | 0.0036553 | 0 | 0.0000002 | 0 |
| GHG Emissions | Upstream | GHG emissions associated with electricity generation and distribution | Irrigation Operations | Electricity (grid) | Electricity (grid) | CAMX | 254.3928 | NA | 0.3751704 | 0.0045993 | 0.0027512 | 0 | 0.0000002 | 0 |
| GHG Emissions | Upstream | GHG emissions associated with electricity generation and distribution | Irrigation Operations | Electricity (grid) | Electricity (grid) | ERCT | 378.2250 | NA | 0.4781203 | 0.0024133 | 0.0036671 | 0 | 0.0000005 | 0 |
| GHG Emissions | Upstream | GHG emissions associated with electricity generation and distribution | Irrigation Operations | Electricity (grid) | Electricity (grid) | FRCC | 399.0436 | NA | 0.5913092 | 0.0044074 | 0.0034492 | 0 | 0.0000000 | 0 |
