1984The Journal of the Japanese Association of Mineralogists Petrologists and Economic GeologistsOpen access

Least squares technique to the P-T estimation of ultramafic rocks involving olivine, orthopyroxene and garnet.

Toshisuke Kawasaki

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Abstract

The mathematical background has been established to evaluate the equilibrium pressure and temperature of ultramafic xenolith by the application of least squares technique to the equilibrium among olivine, orthopyroxene and garnet. Estimated pressures in the approximated system SiO2-Al2O3-FeO-MgO-CaO are slightly greater than those in the additional correction of Mn-Ni-Cr-Ti for the granular type of lherzolites and are shifted to lower pressure sides for the sheared lherzolites. The inflection in the paleogeotherm beneath northern Lesotho is observed at the depths 150 km.

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The mathematical background has been established to evaluate the equilibrium pressure and temperature of ultramafic xenolith by the application of least squares technique to the equilibrium among olivine, orthopyroxene and garnet. Estimated pressures in the approximated system SiO2-Al2O3-FeO-MgO-CaO are slightly greater than those in the additional correction of Mn-Ni-Cr-Ti for the granular type of lherzolites and are shifted to lower pressure sides for the sheared lherzolites. The inflection in the paleogeotherm beneath northern Lesotho is observed at the depths 150 km.

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Available abstract

The mathematical background has been established to evaluate the equilibrium pressure and temperature of ultramafic xenolith by the application of least squares technique to the equilibrium among olivine, orthopyroxene and garnet. Estimated pressures in the approximated system SiO2-Al2O3-FeO-MgO-CaO are slightly greater than those in the additional correction of Mn-Ni-Cr-Ti for the granular type of lherzolites and are shifted to lower pressure sides for the sheared lherzolites. The inflection in the paleogeotherm beneath northern Lesotho is observed at the depths 150 km.

Key concepts: Ultramafic rock, Olivine, Geology, Xenolith, Inflection point, Mineralogy, Least-squares function approximation, Geochemistry

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Least squares technique to the P-T estimation of ultramafic rocks involving olivine, orthopyroxene and garnet. — Research Paper | ScholarLens