open_petro_elastic.material.sandstone.hertz_mindlin

open_petro_elastic.material.sandstone.hertz_mindlin(mineral, porosity, pressure, shear_reduction=1.0, coordination_number=9)[source]

Adjusts the moduli of a given granular material to a confining pressure according to Hertz-Mindlin model for pressure-induced moduli increase at critical porosity.

Models the elastic properties of a hydrostatic confining pressure applied to a random indentical sphere packing, see Mavko et. al (2003) page 150

  • “The Rock Physics Handbook: Tools for Seismic Analysis of Porous Media” Gary Mavko, Tapan Mukerji, Jack Dvorkin Cambridge University Press, 16. okt. 2003

Parameters:
  • mineral – The material composing the grains of a granular material.

  • porisity – The porosity of the granular material.

  • pressure – The confining pressure.

  • shear_reduction – Shear reduction parameter used to account for tangential frictionaless grain contacts, defaults to no reduction, ie. 1.0.

  • coordination_number – Average number of contacts per grain, defaults to 9.