Use of phi and lambda_pore_prs

Previous use in SOPALE varied phi to take account of lambda_pore_prs implicitly, i.e. by choosing phi_effective such that

sin(phi_effective) = (1.0-lambda_pore_prs)*sin(phi)

This method can still be used in which case all inputs for lambda_pore_prs should be set to 0 and the input values of phi are interpreted as effective internal angles of friction.

Alternatively, the input phi's are true material properties, e.g. compatible with Byerlee's Law (30-40 degrees) and the lambda_pore_prs values are effective pore pressure ratios associated with each material. Note fluid pressures are not calculated separately/dynamically in this version. Lambda_pore_prs is specified as a material property and should be chosen to reflect the fluid pressure environment envisioned for this material.

lambda_pore_prs Fluid pressure environment
0.0 dry rock environment, no fluid pressure
0.3-0.4 hydrostatic fluid pressure - depends on the density distribution of the model material
close to 1.0 (but not equal to 1.0) lithostatic conditions, strongly overpressured conditions

Note that the theory used here is the most simple form. It hides the underlying problem of the best measure of the solid pressure in lambda_pore_prs. The solid pressure may not be lithostatic. This is likely the case in frictional-plastic materials (see Petrini and Podladchikov, J.Met.Geol.v.18, p.67-77, 2000).