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How Magma Forms • Sources of heat for melting rocks • Factors that control melting temperatures • Other considerations: – Volatiles – Change in Pressure (Decompression Melting) Heat Flow on Earth An increment of heat, q, transferred into a body produces a proportional incremental rise in temperature, T, given by q = Cp * T where Cp is called the molar heat capacity of J/mol-degree at constant pressure; similar to specific heat, which is based on mass (J/g-degree). 1 calorie = 4.184 J and is equivalent to the energy necessary to raise 1 gram of of water 1 degree centigrade. Specific heat of water is 1 cal /g°C, where rocks are ~0.3 cal /g°C. Heat Transfer Mechanisms • Radiation: involves emission of EM energy from the surface of hot body into the transparent cooler surroundings. Not important in cool rocks, but increasingly important at T’s >1200°C • Advection: involves flow of a liquid through openings in a rock whose T is different from the fluid (mass flux). Important near Earth’s surface due to fractured nature of crust. • Conduction: transfer of kinetic energy by atomic vibration. Cannot occur in a vacuum. For a given volume, heat is conducted away faster if the enclosing surface area is larger. • Convection: movement of material having contrasting T’s from one place to another. T differences give rise to density differences. In a gravitational field, lower density (generally colder) materials sink. Earth’s Energy Budget • Solar radiation: 50,000 times greater than all other energy sources; primarily affects the atmosphere and oceans, but can cause changes in the solid earth through momentum transfer from the outer fluid envelope to the interior. • Radioactive decay: 238U, 235U, 232Th, 40K, and 87Rb all have t1/2 that >109 years and thus continue to produce significant heat in the interior; this may equal 50 to 100% of the total heat production for the Earth. Extinct short-lived radioactive elements such as 26Al were important during the very early Earth. • Tidal Heating: Earth-Sun-Moon interaction; much smaller than radioactive decay. • Primordial Heat: Also known as accretionary heat; conversion of kinetic energy of accumulating planetismals to heat. • Core Formation: Initial heating from short-lived radioisotopes and accretionary heat caused widespread interior melting (Magma Ocean) and additional heat was released when Fe sank toward the center and formed the core. Magmatic Examples of Heat Transfer Thermal Gradient = T between adjacent hotter and cooler masses Heat Flux = rate at which heat is conducted over time from a unit surface area Thermal Conductivity = K; rocks have very low values and thus deep heat has been retained! Heat Flux = Thermal Conductivity * T models from: http://www.geo.lsa.umich.edu/~crlb/COURSES/270 Global Heat Flow convection in the mantle observed heat flow warm: near ridges cold: over cratons from: http://www-personal.umich.edu/~vdpluijm/gs205.html Approximate Pressure (GPa=10 kbar) Earth’s Geothermal Gradient Average Heat Flux is 0.09 watt/meter2 or 90 mW/m2 Geothermal gradient = T/ z Viscosity, which measures resistance to flow, of mantle rocks is 1018 times tar at 24°C ! Crustal Geothermal Gradients 20-30 °C/km in orogenic belts; gradient cannot remain constant with depth! At 200 km would be 4000°C Crustal Rocks Melt! In contrast, gradient is ~7 °C/km in trenches Causes of Mantle Melting -Increase T -Decrease P -Add Water Plagioclase Water-saturated vs. Dry Solidi Alkaline vs. Sub-alkaline Rocks 46.7% widely scattered <- Basalts 53.3% tightly clustered in a central band Analyses of a global sample of 41,000 igneous rocks of all ages Attributes of Total Alkalies Diagram • Magmatic rocks constitute a continuous chemical spectrum, i.e. no breaks or discontinuities. Other elemental combinations show similar trends. • Questions? – How is such a chemical spectrum created? – Is there a similar range in liquid (magma) compositions? – What processes of magma generation from solid rocks can give rise to the observed range? – Could this spectrum be generated from a much narrower source range and the derived liquids modified to yield the observed diversity? How Magmas of Different Compositions Evolve • • • • • Sequence of Crystallization and Melting Differentiation Partial Melting Assimilation Mixing of Magmas Bowen’s Reaction Series Magmatic Differentiation: Crystal Settling Sedimentary Structures in Layered Igneous Intrusions Harzburgite bands in Josephine Ophiolite, Oregon From: http://www.uoregon.edu/~dogsci/kays/313/plutonic.html Magmatic Cross-Beds in Skaergaard Layered Intrusion From: http://www.uoregon.edu/~dogsci/kays/313/plutonic.html Binary Eutectic Phase Relations Magmatic Differentiation: Assimilation Evidence for Assimilation - Adirondacks From: http://s01.middlebury.edu/GL211A/FieldTrip2.htm Magmatic Differentiation: Magma Mixing Melt Inclusions in Quartz in Pantellerite From: http://wrgis.wr.usgs.gov/lowenstern/ Mahood and Lowenstern, 1991 Evidence for Magma Mixing - Adirondacks From: http://s01.middlebury.edu/GL211A/FieldTrip3.htm The Relationship of Igneous Activity to Tectonics • Igneous Processes at Divergent Boundaries – MORB genesis and decompression melting • Intraplate Igneous Activity – “Hot” or “Wet” spots and mantle plumes • Igneous Processes at Convergent Boundaries – Downing plate crustal melting or volatile flux melting in the mantle wedge Earth’s Plates MORB Decompression Melting Decompression Melting and MORB Genesis Mantle Plumes - “Hot” or “Wet” Spots? Seismic Tomographic Image of Iceland Plume Contour of -2.5% shear wave velocity anomaly From: ICEMELT Seismic Experiment - Wolfe et al., 1997 Numerical Simulation of Plume Melting From: http://www.geophysik.uni-frankfurt.de/geodyn/island/tp2_en.html Dynamic Plume Models From: http://www.geophysik.uni-frankfurt.de/geodyn/island/tp2_en.html Super Plumes? Volcanic Hot Spots on Earth’s Surface (dots) Global shear wave velocity anomalies in deep mantle From: www.seismo.berkeley.edu/~gung/_Qplume/ Volatile Fluxing Mantle Wedge Volatile Fluxing of Mantle Wedge Downgoing Slab Crustal Melting Primitive Mantle Melts vs. Remelting of the Lower Crust Igneous Rocks and Plate Tectonic Setting