Page 14 - Fundamentals of Computational Geoscience Numerical Methods and Algorithms

xvi Nomenclature

Zh critical critical Zhao number
λ thermal conductivity
λ e0 reference thermal conductivity in the horizontal direction
φ porosity
ψ stream function
ψ shape function vector for the pressure of a finite element

ρ 0 reference density of pore-fluid
μ dynamic viscosity of pore-fluid
β thermal volume expansion coefficient of pore-fluid
σ stress on the boundary of a finite element
ϕ shape function vector for the temperature, species
concentration and Darcy velocity of a finite element
η permeability ratio of the underlying medium to its
overlying folded layer
thermal conductivity ratio of the underlying medium to its
overlying folded layer
ε penalty parameter associated with the penalty finite
element approach
Subscripts
f pertaining to pore-fluid
0 pertaining to reference quantities
Superscripts
e pertaining to equivalent quantities of a porous medium
e pertaining to quantities in a finite element level
∗ pertaining to dimensionless quantities
s pertaining to solid matrix