Peterson#

class Peterson[source]#

Recharge to the groundwater calculated based on Peterson and Western (2014).

The water balance for the unsaturated zone reservoir is written as:

\[\frac{dS}{dt} = P_e - E_a - R\]

where the fluxes $P_e$, $E_a$ and $R$ are calculated as:

\[P_e = P \left(1 - \frac{S}{\hat{S_{cap}}}\right)^\alpha\]
\[E_a = E_p \left(\frac{S}{\hat{S_{cap}}}\right)^\gamma\]
\[R = \hat{k_{sat}}\left(\frac{S}{\hat{S_{cap}}}\right)^{\hat{\beta}}\]

with the parameters:

\[\hat{S_{cap}} = 10^{S_{cap}}; \hat{k_{sat}} = 10^{k_{sat}}; \hat{\beta} = 10^{\beta}\]

Note that the method currently uses forward Euler method to solve the ODE so significant water balance errors can occur.

Methods#

__init__

get_init_parameters

Method to obtain the initial parameters.

get_recharge

Internal method used for the recharge calculation.

get_water_balance

simulate

Simulate the recharge flux.

to_dict

Method to export the recharge model object.