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To effectively treat heterogeneity properties and multiscale features in the models, we integrate multiscale finite element methods with multi-element least-square HDMR for stochastic multiscale model reduction.
Thomeer (1960) introduced a pore geometrical factor in his model to comprise the heterogeneity properties of the porous medium.
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Klein, I. et al. Kupffer cell heterogeneity: functional properties of bone marrow derived and sessile hepatic macrophages.
Aided by such a nano-scale concentration heterogeneity, unexpected properties from its chemically homogeneous counterpart are obtained.
Soil structure is considered to be a systematic homogeneously repetitive heterogeneity of properties and conditions of soil.
The soil variability was assessed by descriptive statistics, the heterogeneity of properties by semivariogram model parameters, and heterogeneity driving factors by multiple linear regression analysis.
This study focuses on municipal solid waste incineration (MSWI) bottom ash characteristics, its heterogeneity, environmental properties, and their stability in time.
Population Balance Models have a wide range of applications in many industrial fields as they allow accounting for heterogeneity among properties which are crucial for some system modelling.
A hidden Markov random field (HMRF) model based Bayesian clustering approach is developed, which can describe not only the heterogeneity of properties in statistically homogeneous soil layers, but also the correlation between spatial distributions of different soil layers.
Empirical studies of topography-erosion linkages typically employ data with diverse temporal and broad spatial scales, such that heterogeneity in properties and processes may cloud fundamental process-scale feedbacks between tectonics, climate, and landscape development.
The deformation field (Figure 7) computed solving Eq. (1) resembles the patterns obtained in [12 14], although there are some discrepancies in the amplitudes, likely arising from the medium heterogeneity rock properties and the single component injection.
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