Wavelet upscaling based on piecewise bilinear approximation of the permeability field

✍ Scribed by Stein Nilsen; Magne S. Espedal

• Publisher: Springer Netherlands
• Year: 1996
• Tongue: English
• Weight: 519 KB
• Volume: 23
• Category: Article
• ISSN: 0169-3913
• DOI: 10.1007/bf00178122

✦ Synopsis

A method for upscaling of permeability in heterogeneous porous media is presented. The upscaled field takes the form K = e Y, where Y, in two dimensions, is a piecewise bilinear function. The method is tested on a number of random permeability fields, with different integral scale/correlation length and variance. The numerical results show that this method conserves much more of the heterogeneous fingering than classical block-based upscaling methods, e.g., geometric mean.