Advanced modeling and simulation of flow in subsurface reservoirs with fractures and wells for a sustainable industry
Open Access

Table 1


Notation Meaning
p Pressure
μ Fluid viscosity
K Permeability value
u Velocity vector
Re Reynolds number
Da Darcy number
ϕ Porosity
ρf Mass density of the fluid
F Forchheimer coefficient
t Time
g Gravity vector
Cf Cup-mixing concentration of the acid
De Effective dispersion tensor
dm Molecular diffusion coefficient
dl Longitudinal dispersion coefficient
dt Transverse dispersion coefficient
αOS Constant depending on pore connectivity
λX Constant depending on the structure of the medium
λT Constant depending on the structure of the medium
rp Pore radius
E Orthogonal projection along the velocity
I Identity matrix
kc Local mass-transfer coefficient
av Interfacial surface area per unit volume
Cs Concentration of the acid at the fluid-solid interface
T Temperature
R(Cs, T) Reaction rate
α Dissolving power of the acid
ρs Mass density of the solid phase
ks Surface reaction rate
Sh Sherwood number
Sh Asymptotic Sherwood number
Sc Schmidt number
τ Time step
Hr(T) Reaction heat
λf Heat conduction coefficient of the fluid phase
λs Heat conduction coefficient of the solid phase
λ Average heat conduction coefficient
θf Heat capacity of the fluid phase
θs Heat capacity of the solid phase
ϑf Amount of heat per unit volume of the fluid phase
ϑs Amount of heat per unit volume of the solid phase
ϑ Total amount of heat per unit volume
Eg Activation energy
Rg Molar gas constant

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