Geological sample splitting mass calculator

Calculate stage retained and discarded masses and final retained mass with your own figures.

Your numbers

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

Use stage retained and discarded masses and final retained mass to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Original sample mass (kg)
10
Sequential retained split fractions
0.5,0.25,0.5
Stage retained and discarded masses (kg)
[[1,5,5],[2,1.25,3.75],[3,0.625,0.625]]
Final retained mass (kg)
0.625

Try another scenario

Original sample mass (kg)
11
Sequential retained split fractions
[0.5, 0.25, 0.5]
Stage retained and discarded masses (kg)
[[1,5.5,5.5],[2,1.375,4.125],[3,0.6875,0.6875]]
Final retained mass (kg)
0.6875
Calculation method

Calculation method

Stage retained and discarded masses (kg)

At each stage retain previous mass×fraction; discard the remainder.

Final retained mass (kg)

Product of original mass and sequential fractions.

Symbols and units
a
Original sample mass (kg)
b
Sequential retained split fractions

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

  • Original sample, sequential split fractions. Returns Retained-discarded masses by stage. 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. Original sample mass (kg): minimum 1e-12, maximum 1000000000000.0. Sequential retained split fractions: minimum 0, maximum 1.
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