A method for upscaling the transport equation for flow in porous media is presented. This is a new application of the wavelet-based renormalization method for absolute permeability in Darcy’s elliptic equation for flow in porous media, described in Pancaldi et al. [V. Pancaldi, K....

In critical phenomena, many of the characteristic features encountered in higher dimensions such as scaling, data collapse and associated critical exponents are also present in one dimension. Likewise for systems displaying self-organised criticality. We show that the one-dimensional...