anaflow.tools.coarse_graining.Int_CG

Int_CG(rad, cond_gmean, var, len_scale, roughness=1.0, anis=1, dim=2.0, K_well='KH', prop=1.6)[source]

The integral coarse-graining conductivity.

The roughness parameter controls the field roughness of log-transmissivity. It’s limits are a pure nugget model for r -> 0 and the gaussian model for r -> infinity.

Parameters:

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

  • cond_gmean (float) – Geometric-mean conductivity.

  • var (float or None, optional) – Variance of log-conductivity.

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

  • roughness (float, optional) – Roughness of the model. Should be positive. Default: 1.0

  • anis (float, optional) – Anisotropy-ratio of the vertical and horizontal corralation-lengths. This is only applied in 3 dimensions. Default: 1.0

  • dim (float, optional) – Dimension of space. Default: 2.0

  • K_well (str or float, optional) – Explicit conductivity value at the well. One can choose between the harmonic mean ("KH"), the arithmetic mean ("KA") or an arbitrary float value. Default: "KH"

  • prop (float, optional) – Proportionality factor used within the upscaling procedure. Default: 1.6

Returns:

Int_CG – Array containing the effective conductivity values.

Return type:

numpy.ndarray