neuman2004_steady(rad, r_ref, trans_gmean, var, len_scale, rate=-0.0001, h_ref=0.0)[source]

The steady solution for the apparent transmissivity from [Neuman2004].

This solution is build on the apparent transmissivity from Neuman 1994, which represents a mean drawdown in an ensemble of pumping tests in heterogeneous transmissivity fields following an exponential covariance. Presented in [Neuman2004].

  • rad (numpy.ndarray) – Array with all radii where the function should be evaluated

  • r_ref (float) – Radius of the reference head.

  • trans_gmean (float) – Geometric-mean transmissivity.

  • var (float) – Variance of log-transmissivity.

  • len_scale (float) – Correlation-length of log-transmissivity.

  • rate (float, optional) – Pumpingrate at the well. Default: -1e-4

  • h_ref (float, optional) – Reference head at the reference-radius r_ref. Default: 0.0


head – Array with all heads at the given radii.

Return type




Neuman, Shlomo P., Alberto Guadagnini, and Monica Riva. ‘’Type-curve estimation of statistical heterogeneity.’’ Water resources research 40.4, 2004