open_petro_elastic.material.seismic_velocity

Calculations derived from the usual equation for estimating primary and secondary wave velocities in isotropic media:

Vp = sqrt((K+(4/3)u) / rho)

and

Vs = sqrt(u/rho)

where

• Vp is the velocity of the primary (compressional) wave

• Vs is the velocity of the secondary (shear) wave

• K is the bulk moduli

• u is the shear moduli

see also:

• “A Tutorial on Gassmann Fluid Substitution: Formulation, Algorithm and Matlab Code”, Dhananjay Kumar, 2006, https://www.spgindia.org/geohorizon/jan_2006/dhananjay_paper.pdf

• https://petrowiki.org/Compressional_and_shear_velocities

Functions

calculate_bulk_modulus(primary_velocity, ...)	Calculates bulk modulus of a material from its density, shear modulus, and velocity of a primary wave running through it.
calculate_primary_velocity(bulk_modulus, ...)	Calculates the velocity of primary waves in an isotropic material with the given moduli and density.
calculate_secondary_velocity(shear_modulus, ...)	Calculates the velocity of primary waves in an isotropic material with the given shear modulus and density.
calculate_shear_modulus(secondary_velocity, ...)	Calculates shear modulus of a material from its density and velocity of secondary wave running through it.