STOMP

Source Card Options (W)

Aqueous Source Options

Aqueous Volumetric

Source type where the aqueous fluid is injected/withdrawn into/from the node(s) at the specified aqueous volumetric rate during the indicated time period. The rate specified in the Source Card is for a single node. Therefore, if a source is applied over several nodes, the total aqueous volumetric rate of injection/withdrawal should be divided between these nodes.

Aqueous Volumetric Density

Source type where the aqueous fluid is injected/withdrawn into/from the node(s) at the specified aqueous volumetric rate per unit volume (e.g., 1/m3) during the indicated time period. This option allows the user to have a uniform distribution of the aqueous volumetric rates over multiple source nodes with various dimensions. 

Aqueous Mass

Source type where the aqueous fluid is injected/withdrawn into/from the node(s) at the specified aqueous mass rate during the indicated time period. The rate specified in the Source Card is for a single node. Therefore, if a source is applied over several nodes, the total aqueous mass rate of injection/withdrawal should be divided between these nodes.

Aqueous Mass Density

Source type where the aqueous fluid is injected/withdrawn into/from the node(s) at the specified aqueous mass rate per unit volume (e.g., 1 m3) during the indicated time period. This option allows the user to have uniform distribution of the aqueous mass rates over multiple source nodes with various dimensions. The rate specified in the Source Card is for a single node. Therefore, if a source is applied over several nodes, the total aqueous mass density rate of injection/withdrawal should be divided between these nodes.

Solute Source Options

Solute

Source type where the solute is injected/withdrawn into/from the node(s) at the specified rate during the indicated time period. The rate specified in the Source Card is for a single node. Therefore, if a source is applied over several nodes, the total solute rate of injection/withdrawal should be divided between these nodes.

Solute Density

Source type where the solute is injected/withdrawn into/from the node(s) at the specified solute rate per unit volume (e.g., 1 m3) during the indicated time period. This option allows the user to have uniform distribution of the solute rates over multiple source nodes with various dimensions. 

Solute Inventory

Source type that spreads the inventory uniformly over the domain based on the node volume. This results in a unique input source for each node included in the region of release. Two values, the domain solute inventory and the maximum solute concentration (e.g., 1/m3), are required. Solute inventory (mass) should be specified in the assumed units for solute (e.g., Ci, pCi, gm, kg, mol, kmol).

Solubility-Controlled Solute 

Source type that assumes that a solid controls the solution concentration in the aqueous phase of the constituents being released. The solute is injected into the node at a constant specified concentration (e.g., 1/m3) based on the solubility limits of a solid during the indicated time period. The total inventory mass is also specified so that the solute will only be injected until the total inventory source is depleted.

Solubility-Controlled Salt Cake

Source type that assumes that a solid controls the solution concentration in the aqueous phase of the constituents being released. The Salt Cake release model is a variant of the Solubility-Controlled Solute release model so that the release rate is a constant rather than a variable dependent on the total mass at the source. When applied to residual tank wastes, the term “cake” applies to the sludge and hard heel residual in the tanks that compose the structural matrix. The salt cake source consists of a mathematical formulation containing a water flux, waste source thickness, and waste solid solubility term. Three values, the solubility (1/m3), the salt-cake waste volume (m3)), and the solute inventory (kg/m3) are required (Zhang et al. 2004)

Symbols

source release rate, 1/s

time, s

mass of waste, kg

density of waste, kg/m3

Darcy velocity of the aqueous phase, m/s 

solute aqueous solubility, 1/m3
vertical depth of waste, m


Solute Advection-Dominated

This source type is also known as the Mixing-Cell Cascade model. The advection-dominated model can be used to simulate releases from stabilized (grouted tank or tank ancillary) waste. For stabilized waste, the contaminants are released into the subsurface at a rate determined by both the rate of infiltrating water and the amount of dispersion occurring within the source which is assumed to contain a series of cascading, N equal-sized, well-stirred cells. Three values, the number of mixing cells, the source thickness (m), and the nodal solute inventory are required (Zhang et al. 2004)

where

Symbols

source release rate, 1/s

time, s

number of mixing cells

Darcy velocity of the aqueous phase, m/s 
retardation factor
vertical depth of waste, m
volumetric water content


Solute Diffusion-Dominated

Source type that has been used to simulate the release of contaminants from stabilized (e.g., grouted tank or tank ancillary) wastes. With little or no advection through the waste container, the release can be modeled as a diffusion-limited process. Three values, the total solute inventory, the diffusion coefficient within the waste source (m2/s) and the source thickness (m) are required inputs (Zhang et al. 2005). Solute inventory (mass) should be specified in the assumed units for solute (e.g., Ci, pCi, gm, kg, mol, kmol).

Symbols

source release rate, 1/s

time, s

solute inventory

vertical depth of waste, m

effective diffusion coefficient, m2/s 


Solute Variable-Diffusion Dominated

Source type that has been used to simulate the release of contaminants from stabilized (e.g., grouted tank or tank ancillary) wastes. The variable-diffusion dominated model is a variant of the Diffusion-Dominated release model so that the release considers a reduction in diffusion due to the constricted flow path caused by small pores and pore throats within the waste form as shown below. Four values, the total solute inventory, the diffusion coefficient within the waste source (m2/s), the source thickness (m) and the constrictivity factor are required inputs.

Symbols

variable diffusion coefficient, m2/s

effective diffusion coefficient, m2/s

diffusive porosity

constrictivity
aqueous phase tortuosity

Species Source Options

Species

Source type where the species are injected/withdrawn into/from the node(s) at the specified rate during the indicated time period. The rate specified in the Source Card is for a single node. Therefore, if a source is applied over several nodes, the total species rate of injection/withdrawal should be divided between these nodes.

References

Zhang, ZF, VL Freedman, SR Waichler, and MD White. 2004. 2004 Initial Assessments of Closure for the S-SX Tank Farm: Numerical Simulations, PNNL-14604, Pacific Northwest National Laboratory, Richland, WA.

Zhang, ZF, VL Freedman, SR Waichler, and SK Wurstner. 2005. 2005 Closure Assessments for S-SX Tank Farms: Numerical Simulations, PNNL-15399, Pacific Northwest National Laboratory, Richland, WA.

 

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