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averaging.rst

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Averaging Schemes

Given a set of mineral physics parameters and an equation of state we can calculate the density, bulk, and shear modulus for a given phase. However, as soon as we have a composite material (e.g., a rock), the determination of elastic properties become more complicated. The bulk and shear modulus of a rock are dependent on the specific geometry of the grains in the rock, so there is no general formula for its averaged elastic properties. Instead, we must choose from a number of averaging schemes if we want a single value, or use bounding methods to get a range of possible values. The module burnman.averaging_schemes provides a number of different average and bounding schemes for determining a composite rock's physical parameters.

Base class

burnman.averaging_schemes.AveragingScheme

Voigt bound

burnman.averaging_schemes.Voigt

Reuss bound

burnman.averaging_schemes.Reuss

Voigt-Reuss-Hill average

burnman.averaging_schemes.VoigtReussHill

Hashin-Shtrikman upper bound

burnman.averaging_schemes.HashinShtrikmanUpper

Hashin-Shtrikman lower bound

burnman.averaging_schemes.HashinShtrikmanLower

Hashin-Shtrikman arithmetic average

burnman.averaging_schemes.HashinShtrikmanAverage