Coastal beach profile volume change calculator

Calculate section area change and volume change with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use section area change and volume change to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Common cross-shore distances (m)
0,10,20,30
Earlier profile elevations (m)
2,1,0,-1
Later profile elevations (m)
2.2,1.3,0.1,-1
Representative alongshore width (m)
100
Section area change (m²)
5
Volume change (m³)
500

Try another scenario

Common cross-shore distances (m)
[0, 10, 20, 30]
Earlier profile elevations (m)
[2, 1, 0, -1]
Later profile elevations (m)
[2.2, 1.3, 0.1, -1]
Representative alongshore width (m)
200
Section area change (m²)
5
Volume change (m³)
1,000
Calculation method

Calculation method

Section area change (m²)

Trapezoidal integral of later minus earlier elevations over common fixed transect.

Volume change (m³)

Section area change×alongshore width; positive means added volume.

Symbols and units
a
Common cross-shore distances (m)
b
Earlier profile elevations (m)
c
Later profile elevations (m)
d
Representative alongshore width (m)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Repeated cross-shore profiles, alongshore width. Returns Section and volume change. All coefficients and observations are user supplied; results describe only the stated mathematical model. Quantities are deterministic calculations from supplied observations and assumptions; no external data is fetched. Supported limits: Finite inputs only; numeric fields bounded as labelled. Lists and JSON records are limited to 256 entries unless a stricter tool bound is stated. No automatic design approval, legal conclusion, treatment recommendation or safety certification. Common cross-shore distances (m): minimum None, maximum 1000000000000.0. Earlier profile elevations (m): minimum None, maximum 1000000000000.0. Later profile elevations (m): minimum None, maximum 1000000000000.0. Representative alongshore width (m): minimum 1e-12, maximum 1000000000000.0.
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