Nomenclature
Table 1: List of variables and parameters used in documentation
Symbol | Units | Physical description |
---|---|---|
kg.kg | Mass of absorbed species per mass of rock grain material | |
symbolic | Chemical species in phase | |
m.L | specific reactive surface area for mineral | |
m | Longitudional dispersivity of phase | |
m | Transverse dispersivity of phase | |
dimensionless | Biot coefficient | |
K | Volumetric coefficient of thermal expansion of the fluid | |
K | Volumetric coefficient of thermal expansion of the drained porous skeleton (ie, the porous rock without fluid, or which a fluid that is free to move in and out of the rock) | |
m.s | External force density acting on the porous solid. This could be gravitational acceleration, or a load-density from a platten | |
dimensionless | Index representing phase. For example, might parameterise liquid (), gas () and NAPL () | |
J.kg.K | Specific heat capacity of rock grains | |
Pa | Drained compliance tensor of the porous solid (ie, inverse of ) | |
moles per litre | concentration of species | |
J.kg.K | Fluid specific heat capacity at constant volume | |
J.kg.K | Fluid specific heat capacity at constant pressure | |
kg.kg | Mass fraction of component present in phase | |
m.s | Fluid dispersion tensor for species in phase | |
m.s | Longitudional dispersion coefficient for species in phase | |
m.s | Transverse dispersion coefficient for species in phase | |
m.s | Molecular diffusion coefficient for component in phase | |
dimenionless | Kronecker delta, unity if , else zero | |
J.m | Energy density of the rock-fluid system | |
J.kg | Internal energy of fluid phase | |
dimensionless | Strain tensor of the porous solid () | |
dimensionless | Elastic strain tensor of the porous solid. The total strain | |
dimensionless | Plastic strain tensor of the porous solid. The total strain | |
dimensionless | exponent in rate expression | |
Pa | Drained elasticity tensor of the porous skeleton (ie, this enters the stress-strain relation when fluid is allowed to freely drain from the skeleton, or when the skeleton is dry) | |
dimensionless | Porosity of the solid | |
dimensionless | Volume fraction of mineral in solid | |
kg.s.m | Fluid flux. This is a sum of the advective (Darcy) flux, and a diffusive-and-dispersive flux | |
J.s.m | Heat flux. This is a sum of heat conduction through the rock-fluid system, and convection with the fluid | |
m.s | Acceleration due to gravity. It is a vector pointing downwards (eg ) | |
dimensionless | Activity coefficient of species in phase | |
J.kg | Specific enthalpy of fluid phase | |
Pa | Henry coefficient for species which describes the solubility of the species in the aqueous phase | |
mol.L.s | Mineral reaction rate | |
kg.m.s | Chemical precipitation and dissolution rate | |
dimensionless | Index representing species. For example, might parameterise water (), air (), and H (). It parameterises things that cannot be decomposed into other species, but can change phase. For instance, sometimes it might be appropriate to consider air as a single species, while at other times it might be appropriate to consider it to be a mixture of nitrogen and oxygen ( and , say) | |
m | Permeability tensor of rock | |
dimensionless | Relative permeability of phase . This is a nonlinear function of the independent variables. Often it is just a function of the phase's saturation, but with Klinkenberg effects it will be a function of the gas pressure too. In the single-phase, fully-saturated case it is unity | |
Pa | Bulk modulus of the drained porous skeleton. In the anisotropic situation | |
depends on reaction | equilibrium constant for secondary species in phase | |
Pa | Bulk modulus of the fluid | |
mol.m.s | Mineral rate constant | |
s | Radioactive decay rate of a fluid species | |
J.s.m.K | Thermal conductivity of the rock-fluid system (J.s.m.K kg.m.s.K). It is a tensorial quantity to allow modelling of anisotropic situations, and is a function of the rock and fluid-phase's thermal conductivities | |
J.s.m.K | Thermal conductivity of the rock-fluid system when aqueous phase saturation is zero | |
J.s.m.K | Thermal conductivity of the rock-fluid system when aqueous phase saturation is unity | |
kg.m | Mass density | |
Pa.s | Dynamic viscosity measured in Pa.s or kg.m.s. This is a nonlinear function of the independent variables | |
dimensionless | Fraction of plastic-deformation energy that becomes heat energy. Probably is correct | |
dimensionless | Stoichiometric coefficient of basis species in equilibrium reaction for secondary species | |
m | Spatial differential operator | |
dimensionless | mineral saturation ratio | |
Pa | Fluid porepressure | |
Pa | Measure of porepressure used in the effective stress. Often this is chosen to be | |
Pa | Langmuir pressure | |
moles per litre | Total concentration of basis species in phase | |
kg.m.s | Fluid source | |
mol.L.s | Source of chemical species | |
J.m.s | Heat source | |
kg.m | Fluid density | |
kg.m | Grain density of the rock (so that is the density of the dry porous rock) | |
kg.m | The mass-density of the fluid-filled porous solid | |
kg.m | Langmuir density| | |
dimensionless | Saturation | |
dimensionless | Saturation of aqueous phase | |
Pa | Total stress. An externally applied mechanical force will create a nonzero , and conversely, resolving into forces yields the forces on nodes in the finite-element mesh | |
Pa | Effective stress | |
s | Time | |
K | Temperature | |
dimensionless | The phase tortuosity, which includes a porous-medium dependent factor and a coefficient | |
s | Langmuir desorption time constant | |
dimensionless | Exponent in rate expression | |
m.s | Deformation vector of the porous solid | |
m.s | Darcy velocity (volume flux) | |
m.s | Velocity of the solid = , where is the solid mechanical displacement vector of the porous solid | |
L.mol | molar volume |