UPSC MainsGEOLOGY-PAPER-II202410 Marks150 Words
Q3.

Binary Eutectic Systems and Porphyritic Rocks

Show diagrammatically the characteristics of binary eutectic system under 1 atmosphere (1 atm pressure). How does one explain the formation of porphyritic basic rock with phenocryst of plagioclase in a groundmass with plagioclase and clinopyroxene with the help of a suitable binary eutectic system?

How to Approach

This question requires a combined understanding of phase diagrams (specifically binary eutectic systems) and their application to igneous petrology. The approach should involve first diagrammatically representing a typical binary eutectic system, labeling all key features (liquidus, solidus, eutectic point, compositions of constituent minerals). Then, explain how cooling paths within this system can lead to the formation of porphyritic textures, specifically focusing on a system that can produce plagioclase phenocrysts in a groundmass of plagioclase and clinopyroxene. Focus on fractional crystallization and the role of viscosity.

Model Answer

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Introduction

Igneous rocks often exhibit textural features that provide clues about their cooling history. Porphyritic textures, characterized by large, well-formed crystals (phenocrysts) embedded in a finer-grained matrix (groundmass), are indicative of a two-stage cooling process. Understanding the principles of phase equilibria, as represented by binary eutectic systems, is crucial for deciphering the formation of such textures. A binary eutectic system describes the phase relationships between two end-member components during cooling and crystallization. This answer will illustrate a binary eutectic system and explain how it can model the formation of a porphyritic basic rock with the specified mineralogy.

Binary Eutectic System (1 atm)

A binary eutectic system represents the phase relationships between two components, A and B, at a constant pressure (here, 1 atm). The system is typically represented graphically as a temperature-composition diagram.

Binary Eutectic Diagram

Key features of the diagram:

  • Liquidus Line: The line above which the system is entirely liquid.
  • Solidus Line: The line below which the system is entirely solid.
  • Eutectic Point: The lowest temperature at which a liquid mixture of A and B can exist. At this point, the liquid transforms directly into a mixture of solid A and solid B.
  • Compositional Ranges: The areas representing the compositions of the solid and liquid phases.

Formation of Porphyritic Basic Rock

To explain the formation of a porphyritic basic rock with plagioclase phenocrysts and a groundmass of plagioclase and clinopyroxene, consider a binary eutectic system involving plagioclase (A) and clinopyroxene (B). Basic rocks are typically rich in Ca-Na plagioclase and pyroxenes.

Stage 1: Phenocryst Formation (Slow Cooling at Depth)

Initially, the magma resides at depth, experiencing slow cooling. If the magma composition falls within the compositional range where plagioclase is the first phase to crystallize (towards the A-rich side of the system), plagioclase crystals will begin to nucleate and grow. Due to the slow cooling rate, these crystals have ample time to develop into large, well-formed phenocrysts. This is because of the lower nucleation rate at lower temperatures and the availability of ions for crystal growth over a prolonged period.

Stage 2: Ascent and Rapid Cooling (Groundmass Formation)

As the magma ascends towards the surface, the pressure decreases, and the cooling rate increases significantly. This rapid cooling shifts the cooling path on the phase diagram. The remaining liquid, now enriched in clinopyroxene (B), enters the eutectic region. Here, simultaneous crystallization of plagioclase and clinopyroxene occurs, but at a much faster rate. This results in the formation of a fine-grained groundmass consisting of intergrown plagioclase and clinopyroxene crystals. The higher viscosity of the melt, due to the presence of already crystallized plagioclase, also contributes to the formation of a fine-grained texture.

Cooling Path Representation

The cooling path on the binary eutectic diagram would start at a high temperature and composition favoring plagioclase crystallization. It would then traverse the liquidus line, allowing plagioclase phenocrysts to grow. As the magma ascends and cools rapidly, the cooling path would cut across the eutectic region, leading to the simultaneous crystallization of plagioclase and clinopyroxene in the groundmass.

The specific composition of the magma and the rate of cooling determine the relative proportions of phenocrysts and groundmass minerals. A magma closer to the plagioclase end-member will produce more plagioclase phenocrysts, while a faster cooling rate will result in a finer-grained groundmass.

Conclusion

In conclusion, the formation of a porphyritic basic rock with plagioclase phenocrysts and a groundmass of plagioclase and clinopyroxene can be effectively explained using a binary eutectic system. The two-stage cooling history – slow cooling at depth leading to phenocryst growth, followed by rapid cooling during ascent resulting in a fine-grained groundmass – is key to understanding this textural feature. This model highlights the importance of phase diagrams in interpreting the petrogenesis of igneous rocks and understanding their cooling histories.

Answer Length

This is a comprehensive model answer for learning purposes and may exceed the word limit. In the exam, always adhere to the prescribed word count.

Additional Resources

Key Definitions

Phenocryst
A large, well-formed crystal embedded in a finer-grained matrix of an igneous rock.

Key Statistics

Basalt, a common basic igneous rock, constitutes approximately 70% of the Earth's oceanic crust.

Source: National Geographic (as of 2023 knowledge cutoff)

The rate of magma ascent can vary from millimeters to meters per second, significantly influencing crystal size.

Source: Gill, R.B. (1981). Geochemistry of Magmatic Rocks.

Examples

Basaltic Lava Flows of Hawaii

Hawaiian basaltic lava flows often exhibit porphyritic textures with olivine and plagioclase phenocrysts, demonstrating the principles discussed above.

Granite Porphyry

Granite porphyry, an intrusive igneous rock, commonly displays large phenocrysts of potassium feldspar in a fine-grained quartz and feldspar groundmass.

Frequently Asked Questions

What factors influence the size of phenocrysts?

Cooling rate, magma composition, and the availability of nucleation sites all influence the size of phenocrysts. Slower cooling rates and compositions favoring early crystallization lead to larger phenocrysts.

How does pressure affect eutectic temperatures?

Increasing pressure generally increases the eutectic temperature. This is because higher pressure favors denser phases, which typically crystallize at higher temperatures.

Topics Covered

GeologyPetrologyIgneous PetrologyPhase DiagramsCrystallizationMagmaRock Texture