Rate-Budget Panel

Balance quantities for fluid, mass and heat flow can be calculated and displayed in the budget panels during or after a simulation run. The Rate Budget panel displays the budget (fluid-flow rate, mass-flow rate, heat-flow rate) at the current simulation time step. The budget process is available for the entire model domain, or for a selection of calculation nodes or elements, defining the Domain of Interest (DOI).

Use Selection as Budget Domain in the context menu of a stored node or element selection in the Selections panel can to be chosen to make a stored node or element selection available as Domain of Interest (DOI).

 

Symbol Description

Alternatively, the stored element selection that is currently selected in the Selections panel can be added to the list of available selections by hitting this button.

Remove one of the available selections with this button.

 

The rate budget values shown refer to the selection chosen in the drop-down list. If no stored selections have been added in addition, the entire domain as well as the current node and element selections are available.

The results are shown when the Active check box is checked and FEFLOW is in simulator mode. Separate tabs are shown for Flow, Mass (possibly different species), Heat and Age (possibly different species) according to the Problem Class settings.

The boundary flows are divided in negative flows (out of the model/domain of interest - red) and positive flows (into the model/domain of interest - green) and are shown in bars for the different kinds of boundary conditions and the areal/volumetric sources or sinks:

Flow Budget

Budget Component

Description

Dirichlet Boundary Conditions

Flow at Hydraulic-head BC nodes

Neumann Boundary Conditions

Flow at Fluid-flux BC nodes

Cauchy Boundary Conditions

Flow at Fluid-transfer BC nodes

Wells

Flow at Well BC nodes and Multilayer Well bottom nodes

Distributed Sink(-)/Source(+)

Flow due to Source/Sink and In-/Outflow on Top/Bottom
For density-dependent flow: buoyancy term in addition

Storage Capture(-)/Release(+)

Storage capture (left side, negative) and release from storage (right side, positive): both effects of confined storage related to Specific Storage and unconfined storage related to Drain-/fillable Porosity or Unsaturated Porosity lumped into one value

Internal Transfer

Only for element selection as domain of interest: model-internal inflow and outflow to/from the domain of interest

Imbalance

Sum of all the other values, should be close to 0 (residual mass-balance error)

Mass Transport Budget

Budget Component

Description

Dirichlet Boundary Conditions

Advective mass flow at Mass-concentration BC nodes
Convective Form of the transport equation: Dispersive/diffusive mass flow at Hydraulic-head BC nodes
Divergence Form of the transport equation: Dispersive/diffusive mass flow at Mass-concentration BC nodes

Neumann Boundary Conditions

Advective mass flow at Mass-flux BC nodes
Convective Form of the transport equation:
Dispersive/diffusive mass flow at Fluid-flux BC nodes
Divergence Form of the transport equation: Dispersive/diffusive mass flow at Mass-flux BC nodes

Cauchy Boundary Conditions

Advective mass flow at Mass-transfer BC nodes
Convective Form of the transport equation:
Dispersive/diffusive mass flow at Fluid-transfer BC nodes
Divergence Form of the transport equation: Dispersive/diffusive mass flow at Mass-transfer BC nodes

Wells

Advective mass flow at Mass nodal sink/source BC nodes
Convective Form of the transport equation: Dispersive/diffusive mass flow at Well BC nodes and Multilayer Well bottom nodes
Divergence Form of the transport equation: Dispersive/diffusive mass flow at Mass nodal sink/source BC nodes

Distributed Sink(-)/Source(+)

Mass flow due to Source/Sink

Storage Capture(-)/Release(+)

Storage capture (left side, negative) and release from storage (right side, positive)

Internal Transfer

Only for element selection as domain of interest: model-internal mass inflow and outflow to/from the domain

Imbalance

Sum of all the other values, should be close to 0 (residual mass-balance error)

Heat Transport Budget

Budget Component

Description

Dirichlet Boundary Conditions

Advective heat flow at Temperature BC nodes
Convective Form of the transport equation: Dispersive/diffusive heat flow at Hydraulic-head BC nodes
Divergence Form of the transport equation: Dispersive/diffusive heat flow at Temperature BC nodes

Neumann Boundary Conditions

Advective heat flow at Heat-flux BC nodes
Convective Form of the transport equation: Dispersive/diffusive heat flow at Fluid-flux BC nodes
Divergence Form of the transport equation: Dispersive/diffusive heat flow at Heat-flux BC nodes

Cauchy Boundary Conditions

Advective heat flow at Heat-transfer BC nodes
Convective Form of the transport equation: Dispersive/diffusive heat flow at Fluid-transfer BC nodes
Divergence Form of the transport equation: Dispersive/diffusive heat flow at Heat-transfer BC nodes

Wells

Advective heat flow at Heat nodal sink/source BC nodes
Convective Form of the transport equation: Dispersive/diffusive heat flow at Well BC nodes and Multilayer Well bottom nodes
Divergence Form of the transport equation: Dispersive/diffusive heat flow at Heat nodal sink/source BC nodes

Distributed Sink(-)/Source(+)

Heat flow due to Source/Sink, heat flow due to Source/Sink (fluid flow) and In-/Outflow on Top/Bottom  in the Convective Form

Storage Capture(-)/Release(+)

Storage capture (left side, negative) and release from storage (right side, positive),
heat flow due to Source/Sink (fluid flow) and In-/Outflow on Top/Bottom in the Divergence Form

Internal Transfer

Only for element selection as domain of interest: model-internal heat inflow and outflow to/from the domain

Imbalance

Sum of all the other values, should be close to 0 (residual mass-balance error)

 

The calculation of flows of thermal energy per time requires a unique reference for the temperature. FEFLOW uses the Reference Temperature set on the Transport Settings page of the Problem Settings dialog.

This means that for example in case of 9°C warm water flowing into an aquifer of 8°C temperature the heat flow at the inflow boundary is shown as negative if the reference temperature has been set to 10°C.

 

The budget quantities can also be visualized in the Slice View and 3D View windows by visualizing the respective Rate Budget component from the Data panel.

 

In one very specific case the Imbalance does not show the residual mass-balance error: If Arbitrary 1D Feature Elements connect nodes outside the DOI with nodes inside the DOI, the flows through these add to the imbalance, as they are not captured by the Internal Transfer through the DOI boundaries.

Budget Export

The calculated rate-budget values can be exported to a text file (*.txt) via the context menu on the panel ( Export Current Values).

The format used to display the numbers in the bars can be changed by using the Number Format entry in the context menu of the panel.

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