- neuman2004(time, rad, storage, trans_gmean, var, len_scale, rate=- 0.0001, r_well=0.0, r_bound=inf, h_bound=0.0, struc_grid=True, parts=30, lap_kwargs=None)¶
The transient solution for the apparent transmissivity from [Neuman2004].
This solution is build on the apparent transmissivity from Neuman 2004, which represents a mean drawdown in an ensemble of pumping tests in heterogeneous transmissivity fields following an exponential covariance.
numpy.ndarray) – Array with all time-points where the function should be evaluated.
numpy.ndarray) – Array with all radii where the function should be evaluated.
float) – Storage of the aquifer.
float) – Geometric-mean transmissivity.
float) – Variance of log-transmissivity.
float) – Correlation-length of log-transmissivity.
float, optional) – Pumpingrate at the well. Default: -1e-4
float, optional) – Radius of the pumping-well. Default:
float, optional) – Radius of the outer boundary of the aquifer. Default:
float, optional) – Reference head at the outer boundary as well as initial condition. Default:
bool, optional) – If this is set to
False, 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:
int, optional) – Since the solution is calculated by setting the transmissivity to local constant values, one needs to specify the number of partitions of the transmissivity. Default:
head – Array with all heads at the given radii and time-points.
- Return type
Neuman, Shlomo P., Alberto Guadagnini, and Monica Riva. ‘’Type-curve estimation of statistical heterogeneity.’’ Water resources research 40.4, 2004