§ 01 · METHOD · 7 STAGES · 5 STANDARDS

How we compute.

02 Pipeline · seven stages flow
01 INPUT

Site input

We start from polygons (boundary, exclusions), tap location, water source pressure and flow, soil class, slope, and existing infrastructure imported from DXF or sketched by hand.

  • → DSTU Б В.2.5-22 §4.1
  • → SCS Soil Survey Geographic
02 AGRO

Agronomy

Crop coefficients, root depth, ETo from Penman–Monteith FAO-56, effective rainfall, and target irrigation efficiency drive the weekly water budget per zone.

  • → FAO-56
  • → Allen et al. 1998
03 LAYOUT

Layout

Heads are placed on a triangular grid sized to manufacturer radius. Arcs respect boundary geometry. Coverage uniformity is solved with overlap targeting CU ≥ 85%.

  • → Hunter Design Manual
  • → Rain Bird LDM
04 HYDR

Hydraulics

Hazen–Williams pressure loss is computed for every pipe segment. We pick PE100 diameters that keep velocity in 1.2–1.8 m/s and end-pressure within ±10% of head spec.

  • → Hazen 1905
  • → PE100 ISO 4427
05 ZONE

Zoning

Heads are grouped into zones whose total flow fits the source minus losses. Cycle-and-soak is applied where infiltration rate is below precipitation rate.

  • → ASABE EP456
06 BoM

Bill of materials

Every head, valve, fitting, pipe meter, controller and sensor is enumerated against the multi-vendor catalog (Hunter, Rain Bird, Toro, Gardena) with current unit prices.

  • → ETIM 8.0 catalog
07 OUT

Output

Plan PDF (DSTU 3008-95 title block), zone schedule, BoM CSV, controller programming sheet, and JSON export ready for hand-off or import into a controller.

  • → DSTU 3008-95
  • → ISO 5457:1999
03 Core equations · four pillars math
EQ.01

Penman–Monteith FAO-56

Daily reference evapotranspiration ETo from weather data — base input for water demand.

// Formula ETo = (0.408·Δ·(R_n − G) + γ·(900/(T+273))·u₂·(e_s−e_a)) / (Δ + γ·(1+0.34·u₂))
Δ — slope of saturation vapour pressure curve [kPa/°C]
R_n — net radiation at the crop surface [MJ/m²/day]
G — soil heat flux density [MJ/m²/day]
γ — psychrometric constant [kPa/°C]
T — mean daily air temperature [°C]
u₂ — wind speed at 2 m height [m/s]
e_s, e_a — saturation and actual vapour pressure [kPa]
Allen, Pereira, Raes & Smith (FAO Irrigation and Drainage Paper 56, 1998)
EQ.02

Hazen–Williams

Pressure loss in pressurized pipe segments under turbulent flow.

// Formula h_f = 10.67 · L · Q^1.852 / (C^1.852 · d^4.87)
h_f — head loss [m]
L — pipe length [m]
Q — flow rate [m³/s]
C — roughness coefficient (PE100=150, PVC=145, steel=100)
d — internal diameter [m]
Hazen, A. (1905). Clean Water and How to Get It.
EQ.03

Christiansen Uniformity

Irrigation uniformity from a grid of measured doses; ASABE S441 baseline.

// Formula CU = 100 · (1 − Σ|x_i − x̄| / (n · x̄))
x_i — measured dose at point i
x̄ — mean dose across all points
n — number of measurement points
Christiansen, J. E. (1942). Irrigation by Sprinkling.
EQ.04

Continuity (Velocity)

Pipe flow velocity sanity check — keeps water hammer and sedimentation in bounds.

// Formula v = 4·Q / (π·d²)
v — flow velocity [m/s]
Q — flow rate [m³/s]
d — internal diameter [m]
Streeter, V. L. & Wylie, E. B. (1998). Fluid Mechanics.
04 Standards we cite refs
Code Body Scope Used in Status
ASABE S441 American Society of ABE Sprinkler distribution uniformity testing CU/DU calculation active
ASABE EP456 Test procedure for sprinkler heads head spec validation active
FAO-56 Food and Agriculture Org Crop evapotranspiration guidelines ETo computation active
EN 13742 CEN (Europe) Landscape irrigation systems EU procurement active
AFNOR NF U54 AFNOR (France) Système d'arrosage FR/BE locale active
ДСТУ Б В.2.5-22 UkrNDIBV Внутрішнє водопостачання UA gov projects active
ДСТУ 3008-95 Title block layout PDF export active
ISO 5457:1999 ISO TC 10 Technical drawing sizes PDF export active
SCS Soil Survey USDA Soil infiltration classes soil DB reference
ETIM 8.0 ETIM Int. Construction product taxonomy BoM catalog beta
05 Validation · regression tests v&v

How we verify the math.

Every release ships only after a regression run against 47 reference projects — public plans with measured CU/DU/PR values. Sources include manufacturer test rigs (Hunter Marketing Office), university labs (Texas A&M Turfgrass Lab, IRSTEA Antibes), and our own field trials in Shabo and Zakarpattia.

47
reference projects
203
catch-can sites
12
climate zones
0.92
CU correlation r²
±3.2%
pressure RMSE
98.4%
BoM cost accuracy
§ 99 · NEXT

See the method in action.