Mass Balance Terms & Equations

 

 

 

 

Mass Balance Terms:

01 Watershed Inflows - net inflow from watersheds assigned to device; for aquifers: percolation - evapotranspiration

02 Upstream Device - inflow from upstream devices

03 Infiltrate - outflow passing through bottom/sides of device through outlet # 1

04 Exfiltrate - equals Infiltrate(03) minus Filtered(05)

05 Filtered - mass removed during infiltration (trapped in soil)

06 Normal Outlet - outflow passing thru outlet number 2

07 Spillway - outflow passing thru outlet number 3 used as a "relief" outlet when device is full

08 Sedim.+Decay - mass removed via sedimentation &/or decay

09 Total Inflow - sum of inflows from watershed & upstream devices

10 Surface Outflow - sum of outflows thru outlets 2 & 3; also includes outlet 1, if its device number > 0 & it is not an aquifer

11 Groundw Outflow - outflow thru outlet 1, if its device number = 0 or it is an aquifer12 Total Outflow - sum of surface & groundwater outflows

13 Total Trapped - sum of sedimentation , decay, & filtration

14 Storage Increase - increase in storage volume ( or mass ) from one time step (or event) to the next.

15 Mass Balance Check - error term in mass-balance equation should be small in relation to total inflows if appropriate time steps are used.

 

 

Mass Balance Equations:

Inflows = Outflows + Increase-in-Storage + Removals + Error

Inflows = Watershed Runoff + Percolation$ + Inflows from Upstream Devices

Percolation = Rainfall + Snowmelt - Runoff

Outflows = Infiltration + Normal Outlet + Spillway + Evapotranspiration$

Increase-in-Storage = Final Storage - Initial Storage

Removals = Sedimentation + Decay

Error = Continuity Error (by Difference)


$ Terms relevant to Aquifer devices only.

Mass balance errors are expressed on on a percentage basis (Term 15 / Term 9) x 100% and reported in program output. 

Large errors in water or mass balances generally indicate that the simulation time steps per hour should be increased ( General input screen).  Many problems will run with a time step of one hour.  Shorter steps (more steps per hour) may be necessary in devices that dry out frequently or otherwise have highly dynmaic flows and/or depths.


See also  Figure 3 of P8 Version 1 Program Documentation