Landfill Working Face Cell and Lift Volume
Daily cell volume, face advance, exposed surface, and cover for a working face.
Example
You enter
- Daily tonnage (tons) 800
- In-place density (lb/cy) 1200
- Working face width (ft) 100
- Lift height (ft) 10
- Face slope run (3 for 3:1) 3
- Cover depth (in) 6
- Compacted layer thickness (ft) 2
- Compactor passes per layer 4
- Narrower face to compare (ft) 50
You get
- Daily cell volume 1,333 cy (36,000 cu ft)
- Face advance 36 ft per day, on a 31.6 ft sloped face
- Slope length (ft) 31.6228
- Top (ft²) 3600
- Face (ft²) 3162.28
- Exposed surface 6,762 sq ft -- 3,600 top, 3,162 face
- Cover to close it up 125 cy, 9.4% of the waste volume
- Cover share of waste (%) 9.39205
- Narrow advance (ft/day) 72
- Narrow top (ft²) 3600
- What the narrower face saves 95.947
- Cover reduction (%) 23.3817
- Total passes 20
No published worked example is on file for this calculation. It is checked against a hand-worked derivation of its method and an independent reference test.
Details, formula, and sources
ScopeWith the same figures at a narrower face. Halving the width doubles the advance, so the top area does not move and the whole 23% cover saving comes off the sloped face. Density lost to a crowded face costs more than the cover saves.
Formula or tabledaily cell volume = tonnage / in-place density; face advance = volume / (width x lift height); sloped face length = lift height x sqrt(1 + run^2); cover volume = exposed top and face area x cover depth.
Source and editionGeometry. The approved operations plan and the permit govern the working face size, the lift, and the cover.
Free accessPublic arithmetic; the face size and lift are in the site's operations plan.
What governsEstimate. AHJ and licensed professional govern.
API field namesdaily_tons, in_place_density_lb_per_cy, face_width_ft, lift_height_ft, face_slope_run, cover_depth_in, layer_thickness_ft, passes_per_layer, narrow_face_width_ft, daily_volume_cy, advance_ft_per_day, slope_length_ft, top_sqft, face_sqft, exposed_sqft, cover_cy, cover_share_of_waste_pct, narrow_advance_ft_per_day, narrow_top_sqft, narrow_cover_cy, cover_reduction_pct, total_passes
- The limit whether the face can still be worked; density lost to a crowded face costs far more airspace than the cover ever savesapproved operations plan
- Passes layers x passes per layer is what the operations plan commits to, not what the arithmetic allowsapproved operations plan