Generalized Framework to Simulate Gravel Packing in Wellbore Completions

Unlocking the Limits of Extreme Length in Alternate Path Gravel Packing

10.2523/12549-ms ◽

2008 ◽

Author(s):

Charles S. Yeh ◽

Scott Clingman ◽

Bruce A. Dale ◽

Tracy Moffett ◽

Larry Harrison ◽

...

Keyword(s):

Extreme Length ◽

Gravel Packing

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IsoClustering: A Generalized Framework for Local Data Clustering

2019 18th IEEE International Conference On Machine Learning And Applications (ICMLA) ◽

10.1109/icmla.2019.00058 ◽

2019 ◽

Author(s):

David Haley ◽

Ehsan Kamalinejad ◽

Jiaofei Zhong

Keyword(s):

Data Clustering ◽

Local Data ◽

Generalized Framework

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KR20 and KR21 for Some Nondichotomous Data (It’s Not Just Cronbach’s Alpha)

Educational and Psychological Measurement ◽

10.1177/0013164421992535 ◽

2021 ◽

pp. 001316442199253

Author(s):

Robert C. Foster

Keyword(s):

Exponential Family ◽

Exponential Families ◽

Natural Exponential Family ◽

Cronbach’S Alpha ◽

Natural Exponential Families ◽

Cronbach's Alpha ◽

Generalized Framework ◽

The Common ◽

Poisson Data ◽

Poisson Count

This article presents some equivalent forms of the common Kuder–Richardson Formula 21 and 20 estimators for nondichotomous data belonging to certain other exponential families, such as Poisson count data, exponential data, or geometric counts of trials until failure. Using the generalized framework of Foster (2020), an equation for the reliability for a subset of the natural exponential family have quadratic variance function is derived for known population parameters, and both formulas are shown to be different plug-in estimators of this quantity. The equivalent Kuder–Richardson Formulas 20 and 21 are given for six different natural exponential families, and these match earlier derivations in the case of binomial and Poisson data. Simulations show performance exceeding that of Cronbach’s alpha in terms of root mean square error when the formula matching the correct exponential family is used, and a discussion of Jensen’s inequality suggests explanations for peculiarities of the bias and standard error of the simulations across the different exponential families.

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A generalized framework for analyzing car lifetime effects on stock, flow, and carbon footprint

Journal of Industrial Ecology ◽

10.1111/jiec.13190 ◽

2021 ◽

Author(s):

Yuya Nakamoto ◽

Shigemi Kagawa

Keyword(s):

Carbon Footprint ◽

Generalized Framework ◽

Lifetime Effects ◽

Stock Flow

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Detailed Derivations of Formulas for Heat Release Rate Calculations Revisited: A Pedagogical and Systematic Approach

Journal of Research of the National Institute of Standards and Technology ◽

10.6028/jres.124.016 ◽

2019 ◽

Vol 124 ◽

Author(s):

Jiann C. Yang

Keyword(s):

Oxygen Consumption ◽

Heat Release ◽

Heat Release Rate ◽

Release Rate ◽

Chemical Engineering ◽

Chemical Species ◽

Flow Process ◽

Generalized Framework ◽

Oxygen Consumption Calorimetry ◽

Engineering Practices

The derivations of the formulas for heat release rate calculations are revisited based on the oxygen consumption principle. A systematic, structured, and pedagogical approach to formulate the problem and derive the generalized formulas with fewer assumptions is used. The operation of oxygen consumption calorimetry is treated as a chemical flow process, the problem is formulated in matrix notation, and the associated material balances using the tie component concept commonly used in chemical engineering practices are solved. The derivation procedure described is intuitive and easy to follow. Inclusion of other chemical species in the measurements and calculations can be easily implemented using the generalized framework developed here.

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Anion packing density: a universal quantity for both dense and porous crystalline inorganic phases

Acta Crystallographica Section B Structural Science ◽

10.1107/s0108768102002689 ◽

2002 ◽

Vol 58 (3) ◽

pp. 457-462 ◽

Cited By ~ 1

Author(s):

F. Liebau ◽

H. Küppers

Keyword(s):

High Pressure ◽

Packing Density ◽

Three Dimensional ◽

Ionic Radii ◽

Generalized Framework ◽

Molal Volumes ◽

Definition Of ◽

Anion Packing ◽

Very High ◽

Framework Density

To compare densities of inorganic high-pressure phases their molal volumes or specific gravities are usually employed, whereas for zeolites and other microporous materials the so-called framework density, FD, is applied. The definition of FD, which refers only to phases with three-dimensional tetrahedron frameworks, is extended to a `generalized framework density' d f, which is independent of the dimensionality of the framework and the coordination number(s) of the framework cations. In this paper the anion packing density, d ap, is introduced as a new quantity which is not only applicable to any inorganic phase but, in contrast to FD and d f, also allows quantitative comparisons to be made for crystalline inorganic phases of any kind. The anion packing density can readily be calculated if the volume and content of the unit cell and the radii of the anions of a phase are known. From d ap values calculated for high-pressure silica polymorphs studied under very high pressure, it is concluded that Shannon–Prewitt effective ionic radii do not sufficiently take into account the compressibility of the anions.

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