Goal:
To model the flow of water in Catchwater Catchment both in space and in time.
Description of the system.
The water Catchment is bounded in space by the same features as described in chapter 4 and 5. However in this version of the model the Catchment is broken to two spatial components called North and South, as well as 6 temporal components, January to June. Each spatial component has surface and ground storage, but the channel only exists in the South.
Objective question: What is the stream discharge each month in the two spatial components.
Assumptions.
1. The initial amount of water in the surface and ground storage in the two regions is zero Ð and 50% of water the flows into either the surface or the ground storage is stored there.
2. Rainfall varies per month, but is the same in each spatial segment.
January = 0.128 Cu m/month
Feb = 0.153 Cu m/month
March = 0.200 Cu m/month
April = 0.147 Cu m/month
May = 0.095 Cu m/month
June = 0.095 Cu m/month
3. Each spatial component (North, South) is 10 square kilometers.
4. Water flows only from the North to the South, and the Channel is only located in the South. Rain that falls in the North (call NR1) thus flows into the surface storage (NS1) and from there it either flows into the surface storage in the south (thus flow called NF2 to storage called SS1) or into the ground (NF3) and becomes groundwater stored in the North groundwater storage (NS2). Water that flows into the groundwater storage in the North then only can flow into the groundwater storage in the south (thus flow NF4 to SS2).
In the South the water (either from rain or from the North), that flows into the surface storage in the south can either flow into the channel (SF2 to SS3) or into the groundwater storage in the South (SF3 to SS2). Water that flows into the groundwater storage in the South can only flow into the Channel.
5. The fractional shares of waterflows (determined by the constants) must abide natural and physical laws, please pick yourselves constants you deem appropriate. Only make sure that the surface water storage in the North at the beginning of each month is empty.
Task:
Use the assumptions given above to construct a model, which measures the water volume in the Channel each month.
Hint: in addition to what is described as a temporal model in chapter 5 and in your lecture notes, you need to model 1 additional surface storage and 1 additional ground storage, as well as you need to add the appropriate flows as described above.
If you feel you need additional assumptions to perform this task feel free to add those, but please state those when describing the functional relationships you used in your lab report.
WRITE A LAB REPORT DESCRIBING THE MODEL