The values of a point on a ternary plot correspond (up to a constant) to its trilinear coordinates or barycentric coordinates. Ternary plots can also be used to create phase diagrams by outlining the composition regions on the plot where different phases exist. The advantage of using a ternary plot for depicting chemical compositions is that three variables can be conveniently plotted in a two-dimensional graph. Because the three numerical values cannot vary independently-there are only two degrees of freedom-it is possible to graph the combinations of all three variables in only two dimensions. Because a + b + c = K for all substances being graphed, any one variable is not independent of the others, so only two variables must be known to find a sample's point on the graph: for instance, c must be equal to K - a - b. Usually, this constant is represented as 1.0 or 100%. In a ternary plot, the values of the three variables a, b, and c must sum to some constant, K. Ternary plots are tools for analyzing compositional data in the three-dimensional case. In game theory, it is often called a simplex plot. In population genetics, a triangle plot of genotype frequencies is called a de Finetti diagram. It is used in physical chemistry, petrology, mineralogy, metallurgy, and other physical sciences to show the compositions of systems composed of three species. It graphically depicts the ratios of the three variables as positions in an equilateral triangle. 5 Characteristic Log Responses 5.1 Characteristic shale response 5.2 Matrix ch aracteris tics 5.3 Fluid characteristics 5.4 Hydrocarbon corr ection s 5.5 Shale corre ction s 5.6 Summary 6 Evaluation of Lithology, Porosity and Water Saturation 6.1 Evaluation of lithology 6.2 Eval u ation of porosi ty 6.3 Evaluation of water res istivity 6.4 Estimation of water saturation 6.5 Summary 7 Petrophysical Workflows 7.1 Data management 7.2 Quick-look interpretation 7.3 Full petroph ysical int erpre tat ion 8 Beyond Log Analysis 8.1 Pressure measurements, gradients and contacts 8.2 Saturation-height functions 8.3 Electrofacies and f acies analy sis 8.4 Rock typin g 8.5 Integration with seismic 8.6 Production logging 8.7 Geo-steering 8.8 Petrophysics of unconventional reservoirs 9 Carbonate Reservoir Evaluat ion 9.1 Rock fabric classification 9.2 Petrophy sical int erpre tat ion 10 Petrophy sics for Reservoi r Modelling 10.1 Mult i-sc ale m odelli ng 10.2 Petrophy sical issues 10.3 Blocking logs 10.Two ternary diagrams with matching axes can be joined at that axis to make a piper diagramĪ ternary plot, ternary graph, triangle plot, simplex plot, Gibbs triangle or de Finetti diagram is a barycentric plot on three variables which sum to a constant.
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