...
| Symbol | Description | Units | ||
|---|---|---|---|---|
| dt | Model time-step | time | ||
| Deficit(o) | Owner’s deficit to be made up using borrow and payback. | volume | ||
| fFlowLG( | Function that returns a lateral loss/gain flux for a given index flow rate | volume | ||
| fFlowLG( | When Murray-style high flow losses are being modelled, the maximum volume of flow based flux that can be shared according to fixed ratio – calculated as fFlowLG( | volume | ||
| FluxTS | Sequence of time series flux values for the link input by the modeller. | |||
| FluxTS(o) | Sequence of time series flux values for the link for owner o, input by the modeller. | |||
| Storage routing function used to determine the live storage volume in a link division. See Link storage routing - SRG for more information. | volume | |||
| g | Linear function to translate between ratios: from change in storage/total storage into change in flow/total flow. | n/a | ||
| j | An owner whose current storage contributes to the high flow loss, i.e. is greater than their share of the high flow threshold. | n/a | ||
| I | Division inflow volume | volume | ||
| I(o) | Division inflow volume for owner o | volume | ||
| Loss | Total volume of loss from the division (negative if water is gained). | volume | ||
| Lossfixed | Total volume of loss that is shared in a predetermined way. It is assumed to have been adjusted to reflect any shortfall in volume to meet it during the flow phase (trying to pump a division dry for example). | volume | ||
| Lossfixed(o) | The (volume) share of fixed loss owned by owner o. | volume | ||
| LossfixedMAX(o) | Maximum fixed loss that owner o has the capacity to sustain. | volume | ||
| LossHF | Total high flow loss | volume | ||
| LossHF(o) | High flow loss for an owner | volume | ||
| Lossprop | Total volume of loss that should be shared in proportion to the ownership of the water in the division. This volume is assumed to have been adjusted to reflect any shortfall that occurred in the flow phase (such as a division with non-zero area at empty trying to evaporate water from an empty division). | volume | ||
| Lossprop(o) | The (volume) share of proportional loss owned by owner o. | volume | ||
| m | Mass of the sample taken | mass | ||
| mi | Mass of the substance in the sample | mass | ||
| M | Total mass in a specified volume | mass | ||
| Mi | Mass of substance in a specified volume | mass | ||
| no | Number of owners | n/a | ||
| Net(o) | Net volume of water that owner o has in storage (in a “dead” division) | volume | ||
| O | Division outflow volume, including outflowing lateral fluxes | volume | ||
| O(o) | Division outflow volume for owner o | volume | ||
| o | Owner of water in the division | n/a | ||
| | Division index flow rate, which is the index flow for the current time step. SeeLink storage routing - SRG for more information. | volume/time | ||
| | Owner’s share of division’s index flow rate for the current time step. | volume/time | ||
| | Threshold for high flow/upper limit to regulated flow (used to determine high flow losses). | volume/time | ||
| r | Symbol used to simplify mass balance equations. | Time | ||
| Ratiods(o) | Owner o’s share/ratio of the dead storage volume. This value is specified by the modeller. | n/a | ||
| Ratiolive(o) | Owner o’s ratio of index flow rate to total index flow rate. Used to calculate their share of active storage and proportional losses. | n/a | ||
| Ratioloss(o) | Owner o’s share/ratio of losses. | |||
| RatioHFT(o) | Owner o’s share/ratio of the high flow threshold. This value is specified by the modeller. | n/a | ||
| RatioTS(o) | Owner o’s share/ratio of time series flux. | |||
| Storage | Current total volume of water stored in the division. | volume | ||
| Storage(o,t) | The total volume of water stored in the division at time step owned by owner o. | volume | ||
| Storage(o,t-1) | Total volume of water stored in the division at the previous time-step (t-1) owned by owner o. | |||
| Storage(t) | Total volume of water stored in the division at time-step t. | volume | ||
| Storage(t-1) | Total volume of water stored in the division at the previous time-step t-1. | |||
| Storageds | Current dead storage in the division. If the division is dead, this is the total division storage, Storage(t). If the division is live this is StoragedsMAX. | volume | ||
| Storageds(o) | Current dead storage in the division owned by owner o. | |||
| StoragedsMAX | Maximum total dead storage in a division specified by the modeller. | volume | ||
| StoragedsMAX(o) | Owner o’s share of the maximum total dead storage in a division. | volume | ||
| Storageexclude | Total volume of water at current time step belonging to owners that are not contributing to the high flow loss. | volume | ||
| StorageHFT | Division storage threshold that corresponds to reach high flow rate threshold qHFT, i.e. StorageHFT = fStorage( | volume | ||
| StorageHF | Total volume of current storage that contributes to high flow loss. | volume | ||
| Storagelive | Current live or active storage volume in a division. | volume | ||
| Storagelive(o) | Current live or active storage volume in a division owned by owner o. | volume | ||
| Surplus(o) | Owner’s surplus that can be shared using borrow and payback. | volume | ||
| t | Time-step index | n/a | ||
| t1 | Start time index | n/a | ||
| t2 | End time index | n/a | ||
| x | Muskingum parameter (see Link storage routing - SRG for more information) |
...
- The division is transitioning from dead to live, i.e. between the continuous stirred reactor and proportional routing models. In this case, owner fixed loss and the previous time step storage are adjusted.
- The fixed losses specified by the modeller exceed the owner’s ability to meet a lateral outflow flux requirement. When this occurs, owner shares of fixed losses are modified, and the changes tracked in the appropriate borrow-and-payback account balances. (Refer to the Borrow and Payback - SRG entry for for a description of these balances).
- High flow losses cause outflow to be negative. When this occurs, owner shares of outflow are modified using the borrow and payback mechanism.
...