1. The Development of Contact Metamorphism About a Cooling Dyke
Felix Boschetty

2. Aims of the Project
To model the development of metamorphic zones around a dyke that is emplaced at the surface
Develop the discretised 2D heat equation by varying the model’s thermal properties and implementing progressive metamorphism
Show how different rock types affect the degree of metamorphism
I have two MatLab Codes. The first shows how the different thermal properties of rocks affects the 1D thermal distribution. The second produces a 2D thermal d
METAMORPHISM refers to changes in a rock’s mineralogy, texture, and/or composition that occur predominantly in the solid state under conditions between those of diagenesis and large-scale melting
Winter, J.D., 2013, Principles of Igneous and Metamorphic Petrology: Harlow, United Kingdom, Pearson Education
Title image from:

3. Contact Metamorphism
Contact metamorphism occurs adjacent to igneous intrusions, principally as a result of the thermal (and possibly metasomatic) effects of hot magma intruding cooler shallow rocks. FACTORS THAT AFFECT CONTACT METAMORPHISM Intrusion Temperature, Time, Country-Rock Mineralogy, Pressure, Geothermal Gradient, Fluid Content of Both Lava and Country Rock, Type and Volume of Lava, Number of Stages of Intrusion.
Winter, J.D., 2013, Principles of Igneous and Metamorphic Petrology: Harlow, United Kingdom, Pearson Education

4. Thermal Properties of Different Rocks
𝜂= 𝑘 𝜌∗ 𝐶 𝑝
Where 𝜂 is thermal diffusivity, 𝑘 is thermal conductivity, 𝜌 is density, and 𝐶 𝑝 is heat capacity
 Rock Type
Density ( g.cm-3)
Thermal Conductivity (10-3 cal.cm-1.s-1.oC-1)
Heat Capacity (cal.g-1.oC-1)
Thermal Diffusivity (10-3 cm2.s-1)
Metamorphism T
(oC)
Limestone
2.62
6.75
0.210
12.18
500
Sandstone
2.65
7.75
0.205
16.45
400
Shale
2.68
5.13
0.197
9.26
300
Eppelbaum, L.V., Kutasov, I., and Pilchin, A., 2014, Applied Geothermics: Berlin, Springer-Verlag Berlin and Heidelberg GmbH & Co. KG.
Winter, J.D., 2013, Principles of Igneous and Metamorphic Petrology: Harlow, United Kingdom, Pearson Education

5. The 1D Heat Distribution of Three Rock Types After One Year
Increase in Final Temperature

6. Animation: The Contact Metamorphism Produced in Slate After One Year

7. The Contact Metamorphism of Different Country Rock After One Year
Increase in Size of Metamorphic Aureole