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L’equazione delle Falde
Riccardo Rigon
JayStrattonNoller,DepoeConvexus
R. Rigon
2
What I mean with Richards ++
Extending Richards to treat the transition saturated to unsaturated zone.
Which means:
At the transition with saturation
R. Rigon and E. Cordano
R. Rigon
3
So we switch to a generalised
groundwater equations
which has been obtained by modifying the SWRC
At the transition with saturation
R. Rigon and E. Cordano
!4
Richards equation is part of a more general equation
that can be obtained by considering also saturated soil/aquifers*
* see for instance, Lu and Godt, 2012, Chapter 4 - Freeze and Cherry, 1979, pg 51
Since the rate of gain/loss of water mass is in general:
<latexit sha1_base64="tYHCApFiY8slQcKMwQxwGacE74A=">AAAA+3icSyrIySwuMTC4ycjEzMLKxs7BycXNw8XFy8cvEFacX1qUnBqanJ+TXxSRlFicmpOZlxpaklmSkxpRUJSamJuUkxqelO0Mkg8vSy0qzszPCympLEiNzU1Mz8tMy0xOLAEKBcQLKBvoGYCBAibDEMpQZoACoHJDdElMRqiRnpmeQSBCG4e0koahuYNHQGhyStfknfsPQoQZGaHyggyo4BQAVIE48g==</latexit>
where:
<latexit sha1_base64="tYHCApFiY8slQcKMwQxwGacE74A=">AAAA+3icSyrIySwuMTC4ycjEzMLKxs7BycXNw8XFy8cvEFacX1qUnBqanJ+TXxSRlFicmpOZlxpaklmSkxpRUJSamJuUkxqelO0Mkg8vSy0qzszPCympLEiNzU1Mz8tMy0xOLAEKBcQLKBvoGYCBAibDEMpQZoACoHJDdElMRqiRnpmeQSBCG4e0koahuYNHQGhyStfknfsPQoQZGaHyggyo4BQAVIE48g==</latexit>
R. Rigon
Extensions
!5
Allora l’equazione generale è ancora
C(⇥)
⇤⇥
⇤t
= ⇥ · K( w) ⇥ (z + ⇥)
⇥
purchè (usando la parametrizzazione di van Genuchten):
R. Rigon
Extensions

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12.13 acqua neisuoli-watertableequations

  • 1. L’equazione delle Falde Riccardo Rigon JayStrattonNoller,DepoeConvexus
  • 2. R. Rigon 2 What I mean with Richards ++ Extending Richards to treat the transition saturated to unsaturated zone. Which means: At the transition with saturation R. Rigon and E. Cordano
  • 3. R. Rigon 3 So we switch to a generalised groundwater equations which has been obtained by modifying the SWRC At the transition with saturation R. Rigon and E. Cordano
  • 4. !4 Richards equation is part of a more general equation that can be obtained by considering also saturated soil/aquifers* * see for instance, Lu and Godt, 2012, Chapter 4 - Freeze and Cherry, 1979, pg 51 Since the rate of gain/loss of water mass is in general: <latexit sha1_base64="tYHCApFiY8slQcKMwQxwGacE74A=">AAAA+3icSyrIySwuMTC4ycjEzMLKxs7BycXNw8XFy8cvEFacX1qUnBqanJ+TXxSRlFicmpOZlxpaklmSkxpRUJSamJuUkxqelO0Mkg8vSy0qzszPCympLEiNzU1Mz8tMy0xOLAEKBcQLKBvoGYCBAibDEMpQZoACoHJDdElMRqiRnpmeQSBCG4e0koahuYNHQGhyStfknfsPQoQZGaHyggyo4BQAVIE48g==</latexit> where: <latexit sha1_base64="tYHCApFiY8slQcKMwQxwGacE74A=">AAAA+3icSyrIySwuMTC4ycjEzMLKxs7BycXNw8XFy8cvEFacX1qUnBqanJ+TXxSRlFicmpOZlxpaklmSkxpRUJSamJuUkxqelO0Mkg8vSy0qzszPCympLEiNzU1Mz8tMy0xOLAEKBcQLKBvoGYCBAibDEMpQZoACoHJDdElMRqiRnpmeQSBCG4e0koahuYNHQGhyStfknfsPQoQZGaHyggyo4BQAVIE48g==</latexit> R. Rigon Extensions
  • 5. !5 Allora l’equazione generale è ancora C(⇥) ⇤⇥ ⇤t = ⇥ · K( w) ⇥ (z + ⇥) ⇥ purchè (usando la parametrizzazione di van Genuchten): R. Rigon Extensions