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Gibbs diagram

How to read a Gibbs diagram

TDS against a single ion ratio — a quick read on whether rainfall, rock weathering or evaporation runs the chemistry.

The gist

A Gibbs diagram plots TDS against an ion ratio to show which natural mechanism — precipitation, rock weathering or evaporation — controls a water's chemistry.

The two panels

Gibbs (1970) uses two semi-log scatter plots. Both share a y-axis of TDS in mg/L (log). The x-axis is a simple weight ratio between 0 and 1:

110100100010000RockEvaporationPrecipitationNa / (Na + Ca) → 0 … 1TDS mg/L (log)110100100010000RockEvaporationPrecipitationCl / (Cl + HCO₃) → 0 … 1TDS mg/L (log)Two ratio panels — where a sample sits names the dominant natural control
The three Gibbs fields. Where a sample plots names the dominant control on its chemistry.

The three fields

FieldPositionMeaning
RockMiddle, low ratio, medium TDSRock–water interaction (weathering of silicates and carbonates) dominates — Ca and HCO₃ from minerals.
EvaporationTop-right, high ratio, high TDSEvaporation and crystallisation concentrate the water toward Na and Cl.
PrecipitationBottom-right, high ratio, low TDSAtmospheric precipitation dominates — dilute water carrying marine-aerosol Na and Cl.
Reading tip. The classic "boomerang" traces an arc: dilute rainfall at the bottom, rising through rock-dominated waters, up to evaporation-concentrated brines at the top. Where your samples sit along that arc is the headline result.

Watch for

Gibbs is a useful first-order screen, but it's been criticised for oversimplifying — mineral dissolution (gypsum, halite) and human inputs can push samples outside the fields. Treat points that fall outside the boomerang as a prompt to look closer (often anthropogenic influence), and confirm a weathering story with the bivariate ratio plots.

Authoritative sources & further reading

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