In this work we argue that, from a system-theoretical point of view, there is only a limited degree of freedom in the input-output dynamics of a reservoir system. This means that, for a given configuration of wells in the reservoir, a large number of combinations of the state variables (pressure and saturation values in the grid blocks) are not actually controllable and observable, and accordin...

Dynamical process upscaling for deriving catchment scale state variables and constitutive relations for meso-scale process models E. Zehe, H. Lee, and M. Sivapalan Institute of Geoecology, University of Potsdam, Germany Centre of Water Research, University of Western Australia, Crawley, Australia Departments of Geography and of Civil & Environmental Engineering, University of Illinois at Urbana...

The successful diffusion of sustainable technologies is termed “upscaling” in the transition studies literature. This paper maintains that upscaling is an ambiguous notion that suggests that technology diffusion processes follow a linear trend from small-scale pilot plants to industrial-scale facilities. On the ground, however, sociotechnical configurations are implemented at a variety of scale...

The procedure of upscaling/averaging the values and equations continuum mechanics appears in many scientific areas. Traditionally, upscaling is carried out by a “jump” between two distant scales. We suggest an alternative for gradual upscaling, with continuous transition from finer to coarser scale along axis, averaging on way. It shown, natural assumptions, that this similar Markov process des...

In medical imaging there is a frequent need to magnify a certain region of interest (ROI) of an image. However many modalities suffer from severe noise and traditional upscaling methods produce poor enlargement results. We present an approach based on cross-scale similarity of an image extendable to sequences using time domain information without explicit motion compensation. It combines noise ...

Despite their dizzying speed, modern supercomputers are still incapable of handling many most vital scientific problems. This is primarily due to the scale gap, which exists between the microscopic scale at which physical laws are given and the much larger scale of phenomena we wish to understand. This gap implies, first of all, a huge number of variables (e.g., atoms or gridpoints or pixels), ...

Natural depositional processes frequently give rise to the heterogeneous multi-layer system, which is often overlooked but essential for simulation of a geological process. The sediments undergo large-strain process in shallow depth and small-strain deep depth. With transform matrix Laplace transformation, new method solving multilayer (Terzaghi) (Gibson) consolidations proposed. Results from t...

we use a multi-resolution analysis based on a wavelet transform to upscale a 3d fractured reservoir. this paper describes a 3d, single-phase, and black-oil geological model (gm) that is used to simulate naturally-fractured reservoirs. the absolute permeability and porosity of gm is upscaled by all the possible combinations of haar, bior1.3, and db4 wavelets in three levels of coarsening. the ap...