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PRESSURE

Specifies parameters for the pressure-based source/sink sandbox where the prescribed mass rate transitions from the maximum rate to zero at the prescribed pressure.

$$\text{rate}={\alpha }_i\times {\gamma }_i\times \text{MAXIMUM\_MASS\_RATE}$$

where

$$\text{INHIBIT\_FLOW\_ABOVE\_PRESSURE:}\alpha =1-(3z^2-2z^3)$$

$$\text{INHIBIT\_FLOW\_BELOW\_PRESSURE:}\alpha =3z^2-2z^3$$

and

$$z=max(min(\frac{P-P_{min}}{P_{max}-P_{min}},1),0)$$

$$P_{max}=\text{PRESSURE}$$

$$P_{min}=P_{max}-\text{PRESSURE\_SPAN}$$

Mass can be distributed across multiple grid cell using the following scaling algorithm:

$${\gamma }_i=1\text{ or }\frac{V_i}{\sum V_{\text{CELL\_IDS}}}\text{ with SCALE\_MAXIMUM\_MASS\_RATE}$$

Required Cards:

CELL_IDS <integers> or COORDINATE <float,float,float>

Specifies the cell or cells in which the source/sink is assigned.

INHIBIT_FLOW_ABOVE_PRESSURE

Specifies that flow is inhibited when the cell pressure is above $P_{max}$.

INHIBIT_FLOW_BELOW_PRESSURE

Specifies that flow is inhibited when the cell pressure is above $P_{min}$.

MAXIMUM_MASS_RATE <float> <optional units>

Specifies the maximum rate (e.g., kg/s). Positive for injection. Therefore, to increase pressure, one must inject (positive rate), and to release pressure on must extract (negative rate).

PHASE <string>

Specifies the fluid phase to which mass will be added/removed. LIQUID or GAS.

PRESSURE <float>

Specifies the pressure at which the rate is zero.

Optional Cards:

PRESSURE_SPAN <float>

Span between $P_{max}-P_{min}$. Default = ${10}^4$ $\left[\text{Pa}\right]$.

SCALE_MAXIMUM_MASS_RATE

Flag that specifies that the maximum mass rate be distributed among all assigned cells as a function of cell volume fraction ${\gamma }_i=\frac{V_i}{\sum V_{\text{CELL\_IDS}}}$.

Examples

SOURCE_SINK_SANDBOX
  PRESSURE
    CELL_IDS 8 13 18 23
    PHASE LIQUID
    PRESSURE 1.1d6
    SCALE_MAXIMUM_MASS_RATE
    MAXIMUM_MASS_RATE 4.d-4 kg/s
  /
END