Ternary Diagram
A ternary diagram (also called a triangular diagram or ternary plot) is a graphical tool used across many disciplines in petroleum engineering, geochemistry, petrology, and fluid phase behavior to represent the composition of three-component mixtures — displaying any combination of three variables that sum to a constant (typically 100%) as a point within an equilateral triangle, where each corner represents 100% of one component and the opposite side represents 0% of that component; the remarkable efficiency of the ternary diagram is that it captures three-component composition information in two dimensions without any information loss, because the constraint that the three components must sum to 100% means only two of the three percentages are independent, and two-dimensional space is exactly sufficient to represent all possible compositions; in petroleum engineering and geoscience, ternary diagrams appear across a wide range of applications including: reservoir fluid phase behavior (oil-gas-water ternary diagrams showing phase envelope positions, miscibility conditions, and phase compositions during production and EOR); geological classification (Folk's sandstone classification using quartz-feldspar-rock fragments, carbonate classification using calcite-dolomite-other, and similar triangular rock classification schemes); formation evaluation (lithology triangles in log interpretation, plotting shale-sandstone-carbonate fractions from log-derived mineralogy); geochemical fingerprinting (n-alkane, isoprenoid, and aromatic compound ratios for oil-to-oil and oil-to-source rock correlation); and cement chemistry (the ternary system calcium oxide-silicon dioxide-aluminum oxide that underlies Portland cement phase behavior and hydration reactions relevant to wellbore cement design and evaluation).
Key Takeaways
- Reading a ternary diagram requires understanding that each point's composition is determined by its perpendicular distance from each side — the percentage of component A at a given point equals the perpendicular distance from the point to side BC (the side opposite corner A), expressed as a percentage of the triangle's height; the sum of the three perpendicular distances always equals the triangle's height regardless of point position, which is why the three percentages always sum to 100%; gridlines parallel to each side show constant percentages of the component in the opposite corner, so following a gridline parallel to BC traces all compositions with the same percentage of A, regardless of how B and C are distributed between themselves.
- Phase behavior ternary diagrams for EOR design are among the most practically important applications in petroleum engineering — in CO2 or hydrocarbon miscible flooding, the ternary system pseudo-component 1 (light components, C1-C4) / pseudo-component 2 (intermediate components, C5-C12) / pseudo-component 3 (heavy components, C12+) is used to map the phase envelope, the critical point, and the tie-line directions that determine whether injected gas achieves miscibility with reservoir oil; the shape and position of the two-phase region within the ternary, and particularly the composition of the plait point (critical point), determines the minimum miscibility pressure and the efficiency of the displacement process; reservoir engineers design injection compositions and pressures to keep the displacement path outside the two-phase region, achieving miscibility that dramatically improves oil recovery compared to immiscible displacement.
- Folk's sandstone classification ternary (Q-F-L: quartz, feldspar, lithic fragments) is one of the most widely used geological classification tools — the relative proportions of quartz, feldspar, and rock fragment grains in a sandstone are plotted on the ternary, and the position of the point within the triangle defines the sandstone name (quartzarenite, subarkose, arkose, lithic arkose, lithic arenite, and subtypes within each field); the Q-F-L composition is a function of the sediment provenance (where it came from) and diagenetic history (how much modification has occurred since deposition), making the ternary plot not just a classification tool but a window into the tectonic setting and diagenetic maturity of the reservoir rock.
- Geochemical correlation uses ternary diagrams to fingerprint oil families and source rock contributions — when multiple oils of uncertain source are analyzed for specific biomarker ratios or compound group percentages, plotting them on ternary diagrams allows visual identification of compositional clusters that reflect common source rock origins; oils derived from marine carbonate source rocks, marine shale sources, and lacustrine sources have characteristic positions on various biomarker ternary diagrams; mixing of oils from different source rocks produces data points along mixing lines between the source end-member fields; ternary fingerprinting is used in production allocation (determining what fraction of oil in a commingled production stream comes from each contributing reservoir) and in exploration to correlate discovered oils to potential source formations.
- Ternary diagrams are inherently insensitive to absolute concentrations and only reflect relative proportions — two samples with very different total amounts of the three components but the same proportions plot at exactly the same point on the ternary; this makes ternary diagrams ideal for compositional characterization where ratios matter more than absolute amounts (as in geochemical fingerprinting and petrographic classification) but inappropriate for applications where the absolute amount of each component matters; additionally, ternary diagrams become impractical when there are more than three significant components, requiring either projection techniques (reducing a multi-component system to three pseudo-components) or alternative multi-dimensional visualization methods.
Fast Facts
The equilateral triangle as a mathematical tool for three-component composition was introduced independently by multiple 19th-century scientists, including the German mineralogist Karl Friedrich Plattner and the British metallurgist George Gabriel Stokes. The graphical elegance of the ternary diagram — capturing three variables in two dimensions without distortion — made it an immediate and lasting hit across chemistry, metallurgy, geology, and eventually petroleum engineering, where it remains one of the most routinely used visualization tools more than 150 years after its introduction.
What Is a Ternary Diagram?
A ternary diagram is the equilateral triangle graph that shows the composition of any three-component mixture as a single point — with each corner representing 100% of one component and the interior representing every possible blend of all three. It's the most compact and information-rich way to visualize three-component systems that exists, which is why geoscientists and engineers reach for it across disciplines from reservoir fluid phase behavior to rock classification to geochemical fingerprinting.
Synonyms and Related Terminology
A ternary diagram is also called a triangular diagram, ternary plot, or triangle plot. Related terms include phase behavior (a key application), miscibility (the EOR application context), Folk classification (the sandstone application), provenance (the geological application context), biomarker (the geochemical fingerprinting context), pseudo-component (the grouping method), phase envelope (the EOR phase behavior feature), tie-line (the two-phase region feature), and critical point (the phase behavior feature).
Why Mastering the Ternary Diagram Pays Off Across the Whole Career
The ternary diagram shows up in reservoir engineering, sedimentary petrology, geochemistry, cement design, and fluid phase behavior — essentially every technical discipline in the oil and gas field touches it at some point. Engineers and geoscientists who learn to read and construct ternary diagrams fluently gain a tool that works across all of these domains without modification. It's one of the genuinely universal visual languages of the petroleum sciences, and it repays the hour or two required to truly understand it with decades of practical utility.