S. Nilsen et Ms. Espedal, WAVELET UPSCALING BASED ON PIECEWISE BILINEAR APPROXIMATION OF THE PERMEABILITY FIELD, Transport in porous media, 23(2), 1996, pp. 125-134
A method for upscaling of permeability in heterogeneous porous media i
s presented. The upscaled field takes the form K = e(Y), where Y, in t
wo dimensions, is a piecewise bilinear function. The method is tested
on a number of random permeability fields, with different integral sca
le/correlation length and variance. The numerical results show that th
is method conserves much more of the heterogeneous fingering than clas
sical block-based upscaling methods, e.g., geometric mean.