docs(supptechinfo): minor edits to GWE chapter (chap. 10)

doc/SuppTechInfo/groundwater-energy-model.tex

@@ -19,7 +19,7 @@ \subsection{Mathematical Model} \label{sec:mathmodel}
 \end{aligned}
 \end{equation}
 
-\noindent The two terms on the left-hand side of equation \ref{eqn:pdegwe} represent the rates of change in thermal energy storage in the water and the solid matrix, respectively. The six terms on the right-hand side of equation \ref{eqn:pdegwe} represent the rates at which thermal energy is advected, dispersed and/or conducted, added or removed by groundwater inflows or outflows, added or removed directly to or from the water, produced/decayed in the water, and produced/decayed in the solid matrix, respectively. The parameters and variables in equation \ref{eqn:pdegwe} are defined as follows: $S_w$ is the water saturation (dimensionless) defined as the volume of water per volume of voids; $\theta$ is the effective porosity, defined as volume of voids participating in transport per unit volume of aquifer; $\rho_w$ and $\rho_s$ are the densities ($M/L^3$) of the water and solid-matrix material, respectively; $C_{pw}$ and $C_{ps}$ are the specific heats ($E/(M \, deg)$) of the water and solid-matrix material, respectively; $T$ is temperature ($deg$); $t$ is time ($T$); $\matr{q}$ is the vector of specific discharge ($L/T$); $\matr{D}_T$ is the second-order tensor of hydrodynamic dispersion coeffiients for thermal energy transport ($L^2/T$); $q'_s$ is the volumetric flow rate per unit volume of aquifer (defined as positive for flow into the aquifer) for fluid sources and sinks ($1/T$), $T_s$ is the temperature of the source or sink fluid ($deg$), $E_s$ is rate of energy loading per unit volume of aquifer ($M/L^3T$), $E_a$ is rate of energy exchange with advanced stress packages ($M/L^3T$), $\gamma_{1w}$ is the zero-order energy decay rate coefficient in the water ($E/L^3T$), and $\gamma_{1s}$ is the zero-order energy decay rate coefficient in the solid ($E/MT$). Note that $\gamma_{1w}$ is defined on a per-volume-of-water basis, whereas $\gamma_{1s}$ is defined on a per-mass-of-solid basis. Note that $\rho_w$, $\rho_s$, $C_{pw}$, and $C_{ps}$ are assumed to remain constant with time, although the solid properties can vary spatially from cell to cell.
+\noindent The two terms on the left-hand side of equation \ref{eqn:pdegwe} represent the rates of change in thermal energy storage in the water and the solid matrix, respectively. The six terms on the right-hand side of equation \ref{eqn:pdegwe} represent the rates at which thermal energy is advected, dispersed and/or conducted, added or removed by groundwater inflows or outflows, added or removed directly to or from the water, produced/decayed in the water, and produced/decayed in the solid matrix, respectively. The parameters and variables in equation \ref{eqn:pdegwe} are defined as follows: $S_w$ is the water saturation (dimensionless) defined as the volume of water per volume of voids; $\theta$ is the effective porosity, defined as volume of voids participating in transport per unit volume of aquifer; $\rho_w$ and $\rho_s$ are the densities ($M/L^3$) of the water and solid-matrix material, respectively; $C_{pw}$ and $C_{ps}$ are the specific heat capacities ($E/(M \, deg)$) of the water and solid-matrix material, respectively; $T$ is temperature ($deg$); $t$ is time ($T$); $\matr{q}$ is the vector of specific discharge ($L/T$); $\matr{D}_T$ is the second-order tensor of hydrodynamic dispersion coefficients for thermal energy transport ($L^2/T$); $q'_s$ is the volumetric flow rate per unit volume of aquifer (defined as positive for flow into the aquifer) for fluid sources and sinks ($1/T$), $T_s$ is the temperature of the source or sink fluid ($deg$), $E_s$ is rate of energy loading per unit volume of aquifer ($M/L^3T$), $E_a$ is rate of energy exchange with advanced stress packages ($M/L^3T$), $\gamma_{1w}$ is the zero-order energy decay rate coefficient in the water ($E/L^3T$), and $\gamma_{1s}$ is the zero-order energy decay rate coefficient in the solid ($E/MT$). Note that $\gamma_{1w}$ is defined on a per-volume-of-water basis, whereas $\gamma_{1s}$ is defined on a per-mass-of-solid basis. Note that $\rho_w$, $\rho_s$, $C_{pw}$, and $C_{ps}$ are assumed to remain constant with time, although the solid properties can vary spatially from cell to cell.
 
 Equation \ref{eqn:pdegwe} is closely analogous to the equation solved by the Groundwater Transport (GWT) Model for solute transport \citep{modflow6gwt}, with the following differences: