Foundation Waterproofing Drainage Calculator

Calculate drainage pipe capacity, gravel backfill volume, waterproofing membrane area, and sump pump sizing for foundation waterproofing systems.

Foundation Dimensions

Drainage Pipe

Gravel & Membrane

Sump Pump Sizing

Formulas Used

1. Pipe Flow Capacity — Manning's Equation (full-flow circular pipe):

Q = (1/n) × Apipe × Rh2/3 × S1/2

where Apipe = π·d²/4, Rh = d/4 (hydraulic radius for full circular pipe), S = slope (ft/ft), n = Manning's roughness coefficient.

2. Gravel Backfill Volume:

Vnet = (L × Wtrench × Dtrench) − (π·(d/2)² × L)

Convert ft³ ÷ 27 = yd³; weight ≈ yd³ × 1.4 tons (crushed stone).

3. Waterproofing Membrane Area:

Amembrane = (L × H + L × twall) × (1 + overlap%/100)

where H = wall height, twall = wall thickness (ft).

4. Sump Pump Sizing — Rational Method:

Qrunoff = C × i × Aacres   [ft³/s]

Qpump = Qrunoff × 1.25 (25% safety factor) → convert to gpm (× 448.831)

where C = runoff coefficient, i = rainfall intensity (in/hr), A = drainage area (acres).

Assumptions & References

  • Manning's equation assumes steady, uniform, full-pipe flow — actual capacity at partial flow may differ.
  • Gravel density assumed at ~1.4 tons/yd³ for clean crushed stone (ASTM D448 #57 or similar).
  • Membrane area includes the vertical wall face and the footing face; does not include horizontal footing top.
  • Rational Method (Q = CiA) is valid for drainage areas up to ~200 acres (ASCE, FHWA HEC-22).
  • Sump pump sizing includes a 25% safety factor per common industry practice (AIHA, NFPA 13).
  • Pipe slope minimum of 1/8 in/ft (1%) recommended by IRC Section R405 for foundation drains.
  • Manning's n values: PVC/HDPE smooth pipe ≈ 0.011; corrugated plastic ≈ 0.013 (ASCE MOP 36).
  • Runoff coefficients per ASCE/SEI 7 and local stormwater management guidelines.
  • Results are estimates for preliminary design; consult a licensed geotechnical or civil engineer for final design.

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