The Meta Level

A rainfall-driven water table — high evapotranspiration

Generated by build_wt_coupled.py. Step 2 of next_steps.md, built on the same store the runoff model uses, with the signed-exchange departure agreed before building.

Generated by build_wt_coupled.py. Step 2 of next_steps.md, built on the same store the runoff model uses, with the signed-exchange departure agreed before building.

The structure

SOIL     sm += rain - pet*(sm/smax);  recharge = overflow
AQUIFER  h  += recharge/Sy - k*(h - h_base)

k*(h - h_base) is SIGNED. Positive means the aquifer is feeding surface water; negative means surface water is recharging the aquifer. The direction falls out of the state instead of being assumed, so the sum over any period is a net flux with a sign - which is what makes step 3’s closed balance possible rather than retro-fitted. A one-way leaky tank would have counted the same water twice: once as baseflow in the river, again as storage in the aquifer.

h_base is calibrated and CONSTANT, because step 1 (rainfall to river level) does not exist yet. That makes the exchange a signed linear reservoir - the standard baseflow formulation, and a correct special case of what we want, not a different model. When step 1 lands, h_base becomes a time series and nothing else in the file changes. The structure was built now so that substitution is one line.

Does it work?

Fitted on the first 70% of each record and scored on the last 30%, which the fit never sees. Models are reported by their VALIDATION score.

  • stations fitted: 12
  • validation NSE > 0.5: 10 (83%)
  • median validation NSE: 0.77 (calibration 0.83)
observed vs modelled
observed vs modelled

By aquifer

aquifer n median val NSE half-life d recharge mm/yr net exchange m/yr
unknown 6 0.71 127 502 +1.879
Chalk 4 0.83 36 493 +29.171
Carboniferous Limestone 2 0.77 41 484 +52.679

half-life is ln2/k - how long the aquifer takes to give up half its head above base level. Read it against the registry’s T1/T2/T3 tiers: a short half-life is a conduit however much storage it appears to hold. A POSITIVE net exchange means the aquifer is a net feeder of surface water over the record, which is what an unstressed outcrop aquifer should be.

What this still is not

  • h_base constant, per the note above - step 1 replaces it
  • rainfall is the REGIONAL MEAN of the nine catchment series, not the nearest catchment per borehole. Assigning boreholes to catchments is step 1’s job
  • PET is a calibrated seasonal sinusoid, not a Penman calculation - there is no radiation or temperature series in this project. It carries the seasonality, which is what recharge needs, and its amplitude is fitted
  • no injection. Nothing in the record contains one, so nothing here is validated for it. Step 3.

← All notes · More from Aquifer Storage