Upscaling based on the bandwidth of the kernel function is a flexible approach to upscale the data because the cells will be coarse-based on variability. The intensity of the coarsening of cells in this method can be controlled with bandwidth. In a smooth variability region, a large number of cells will be merged, and vice versa, they will remain fine with severe variability. Bandwidth variatio...

Reservoir modeling and simulation are vital components of modern reservoir management processes. Despite the advances in computing power advent smart technologies, implementation model-based operational/control strategies has been limited by inherent complexity models. Thus, reduce order models that not only cost but also provide geological consistent prediction essential. This article introduc...

We consider optimization of computational grids for petroleum reservoir flow simulations. In this context grid quality is determined by two independent error sources. On the one hand there is a loss of precision caused by upscaling of geological data from the fine geological grid to the coarser computational grid, and on the other hand there are numerical errors induced by a non-regular computa...

A new technique for generating coarse scale models of highly heterogeneous subsurface formations is developed and applied. The method uses generic global coarse scale simulations to determine the boundary conditions for the local calculation of upscaled properties (permeability or transmissibility). An iteration procedure assures consistency between the local and global calculations. Transport ...

New transmissibility upscaling procedures designed to accurately capture full-tensor effects are developed and applied. These techniques are based on variable compact multipoint (VCMP) flux approximations. VCMP is extended to irregular grids. Two approaches for including global flow information within the VCMP upscaling procedure are considered—one in which the upscaled model is determined dire...

Flow simulations in porous media involve a wide range of strongly coupled scales. The length scale of short and narrow channels is on the order of millimeters, while the size of a simulation domain may be several kilometers (the richest oil reservoir in Saudi Arabia, Ghawar, is 280 km ×30 km). The permeability of rock formations is highly heterogeneous and may span several orders of magnitude, ...

[1] In this study, multiscale permeability upscaling is combined with a sensitivity study of model boundary condition to identify an optimal heterogeneity resolution in developing a reservoir model to represent a deep saline aquifer in CO2 storage simulation. A three‐ dimensional, fully heterogeneous reservoir model is built for a deep saline aquifer in western Wyoming, where each grid cell is ...

Dual-permeability models are increasingly used to quantify the transport of solutes and microorganisms in soils with preferential flow. An ability to accurately determine the model parameters and their variation with preferential pathway characteristics is crucial for predicting the transport of microorganisms in the field. The dual-permeability model with optimized parameters was able to accur...