anaflow.flow.theis
- theis(time, rad, storage, transmissivity, rate=-0.0001, r_well=0.0, r_bound=inf, h_bound=0.0, struc_grid=True, lap_kwargs=None)[source]
The Theis solution.
The Theis solution for transient flow under a pumping condition in a confined and homogeneous aquifer. This solution was presented in [Theis35].
- Parameters
time (
numpy.ndarray
) – Array with all time-points where the function should be evaluatedrad (
numpy.ndarray
) – Array with all radii where the function should be evaluatedstorage (
float
) – Storage coefficient of the aquifer.conductivity (
float
) – Conductivity of the aquifer.rate (
float
, optional) – Pumpingrate at the well. Default: -1e-4r_well (
float
, optional) – Inner radius of the pumping-well. Default:0.0
r_bound (
float
, optional) – Radius of the outer boundariy of the aquifer. Default:np.inf
h_bound (
float
, optional) – Reference head at the outer boundary, as well as initial condition. Default:0.0
struc_grid (
bool
, optional) – If this is set toFalse
, the rad and time array will be merged and interpreted as single, r-t points. In this case they need to have the same shapes. Otherwise a structured r-t grid is created. Default:True
lap_kwargs (
dict
orNone
optional) – Dictionary forget_lap_inv
containing method and method_dict. The default is equivalent tolap_kwargs = {"method": "stehfest", "method_dict": None}
. Default:None
- Returns
head – Array with all heads at the given radii and time-points.
- Return type
References
- Theis35
Theis, C., ‘’The relation between the lowering of the piezometric surface and the rate and duration of discharge of a well using groundwater storage’’, Trans. Am. Geophys. Union, 16, 519-524, 1935