GStools subpackage providing upscaling routines for the spatial random field.
The following functions are provided
||Coarse Graning procedure to upscale the variance for uniform flow.|
||Dummy function to bypass scaling.|
Coarse Graning procedure to upscale the variance for uniform flow.
scaled_var – The upscaled variance
This procedure was presented in [Attinger03]. It applies the upscaling procedure ‘Coarse Graining’ to the Groundwater flow equation under uniform flow on a lognormal distributed conductivity field following a gaussian covariance function. A filter over a cube with a given edge-length is applied and an upscaled conductivity field is obtained. The upscaled field is again following a gaussian covariance function with scale dependent variance and length-scale:
Therby will be calculated from the given
point_volumesby assuming a cube with the given volume.
The upscaled length scale will be ignored by this routine.
[Attinger03] Attinger, S. 2003, ‘’Generalized coarse graining procedures for flow in porous media’‘, Computational Geosciences, 7(4), 253–273.