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However, when the number of layers becomes large, the layered formations tend to show homogeneity and the layer structure becomes less important.
The structure of layered formations can significantly influence the upscaling results.
Many of the fossils of Permian life were discovered within the various sediments that compose the layered formations of the Glass Mountains.
The p-order power mean for the Green Ampt parameters can capture the infiltration rates in the layered formations well, illustrating that the proposed upscaling schemes are reasonable to represent the overall behaviors of the heterogeneous layered formations.
In the present paper, a novel fracture pressure model was proposed for inclined wells in layered formations with anisotropic rock strengths.
The distributions of the bending moment and of the convergence along the tunnel perimeter were found to be strongly dependent on the relative stiffness of the layered formations.
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The arithmetic averaging used herein is based on the concept of horizontal, along layer flow, and occurring in a layered formation, which has been shown to be closely comparable to that from more advanced upscaling schemes (Kazemi et al. 2012).
Wu et al. (2004) investigated hydrofracturing crack propagation in a layered formation which was composed of rigid and soft layers, and drew a map of fracture behavior in the vicinity of an interface.
Finite element analysis (FEA) is used to model single battery cell with the concentric layered formation which represents a complete cell.
The optimal p value was determined by a general requirement of same total infiltration time for the layered formation and the equivalent homogeneous medium.
Comparison of synthetic logs in models with piecewise constant and continuous approximations of conductivity shows that the continuous-function approximation is accurate within 5%, and the accuracy improves as the average conductivity of the layered formation is taken into account.
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