Comparison of the lognormal and beta distribution functions to describe the uncertainty in permeability

Ricciardi, Karen L.; Pinder, George F.; Belitz, Kenneth

doi:10.1016/j.jhydrol.2005.03.007

Cited by 30 publications

(16 citation statements)

References 3 publications

(4 reference statements)

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“…Normal distribution is significant because standard practices typically assign log-normally distributed permeability properties (log of permeability is normally distributed) to clastic rocks (Law 1944), although the utility of other distributions has been noted (Ricciardi et al 2005) and rocks are known to exhibit a continuous range of distributions (Friedman 1962). The topography of the peel is considered a proxy for rock properties related to sedimentology, such as porosity, permeability, and threshold pressure.…”

Section: Peel Topographymentioning

confidence: 99%

Digital Rendering of Sedimentary-Relief Peels: Implications for Clastic Facies Characterization and Fluid Flow

Meckel¹

2013

Journal of Sedimentary Research

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A new technique is presented for generating high-resolution digital models of natural sedimentary deposits for quantitative analyses. The traditional technique of 2D sedimentary-relief peels of unconsolidated clastic deposits is combined with modern digital laser scanning and 3D microscopy techniques to represent spatially varying rock properties related to sedimentary fabrics at native resolution (millimeter to meter-scale). Peel topography (relief) is documented to correlate with changes in mean grain diameter and standard deviation, so that the topography can be used as a proxy (inferred) for spatially varying rock properties related to grain sizes and sorting (e.g., permeability, threshold pressure). To provide an applied example of the value of such investigation, and to illustrate the influence that sedimentary structures can have on fluid migration, peel topography is used to populate a threshold pressure 2D continuum for invasion percolation (IP) simulations. IP is typically used for hydrocarbon migration and is being explored to investigate CO 2 migration in sequestration contexts. Simulation results for a 3.1-million-cell model (, 0.5 3 0.25 m) of a ripple-laminated peel from a modern fluvial point bar suggest that sedimentary fabrics can strongly modify saturation via local capillary trapping. The technique, datasets, and analysis presented are broadly applicable and expand quantitative characterization capabilities for a variety of geologic studies.

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Section: Peel Topographymentioning

confidence: 99%

Digital Rendering of Sedimentary-Relief Peels: Implications for Clastic Facies Characterization and Fluid Flow

Meckel¹

2013

Journal of Sedimentary Research

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“…Four different statistical distributions were implemented that could be selected: the uniform distribution, the normal distribution, the log-normal distribution and the beta distribution. The beta distribution was implemented because, with the appropriate shape factors, it can yield a reasonable approximation for the normal, log-normal and other distributions, such as a distribution with right skew, with the advantage of having minimum and maximum constraints to better model physical processes (Heyman et al 1984;Bury 1999;Ricciardi et al 2005).…”

Section: Parameter Distribution Selectionmentioning

confidence: 99%

A framework for implementing spatial and temporal uncertainty in integrated water resources modelling

Salah¹,

Nelson

Williams

2011

Lakes & Reservoirs

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This study discusses research that develops a general framework and presents a specific implementation of a stochastic modelling system, using linked overland flow and routing simulation models. The specific implementation uses the Gridded Surface Sub-surface Hydrological Analysis (GSSHA) overland flow model, and the reservoir routing and quality model CE-QUAL-W2, to develop the stochastic modelling system. For stochastic simulations, modellers can define up to six GSSHA parameters for stochastic treatment, select the appropriate probability density functions and range, and determine the number of runs in the simulation. The tools described herein then create the correct input and output files, run the linked simulation models using the defined stochastic parameters, and aggregate the voluminous results. Interactive tools were developed to compute credible intervals from the results, and create reports that present the variability in a manner that is easily understood and communicated. Model set-up and development, stochastic and statistical parameter input, stochastic simulation execution and results analysis were implemented using the Watershed Modeling System, model pre-and postprocessing system. This study presents the tools, algorithms and user interfaces developed to implement the linked stochastic modelling system, as well as a simple example demonstrating the tools and the type of analysis supported by this system.

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“…비동시 결합 재현기간 및 동시 결합 재현기 간을 식으로 정리하면 다음 Eqs. (7) and (8) (Beran and Sutcliffe, 1972;Cooke et al, 1995;Brubaker and Menoes, 2001;Ricciardi et al, 2005), 단위 유량도의 모형으로도 이용된 바 있다 (Bhunya et al, 2004;2007).…”

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Bivariate Frequency Analysis of Dam Storage Capacity before and after the Rainy Season and Evaluation on Water Supply Capacity

Jun¹,

Yoo²,

Zhu³

et al. 2014

Journal of Korea Water Resources Association

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This study proposes an evaluation method of water supply capacity of a dam, which uses the concept of return period by conducting bivariate frequency analysis of dam storage capacity. The proposed method was applied to the Daecheong Dam for the evaluation. Additionally, the return periods of Daecheong Dam were estimated for the representative drought events in Korea, whose results were also reviewed. Summarizing the results is as follows. First, this study evaluated several climatological factors related to the water supply capacity of dams

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Comparison of the lognormal and beta distribution functions to describe the uncertainty in permeability

Cited by 30 publications

References 3 publications

Digital Rendering of Sedimentary-Relief Peels: Implications for Clastic Facies Characterization and Fluid Flow

Digital Rendering of Sedimentary-Relief Peels: Implications for Clastic Facies Characterization and Fluid Flow

A framework for implementing spatial and temporal uncertainty in integrated water resources modelling

Bivariate Frequency Analysis of Dam Storage Capacity before and after the Rainy Season and Evaluation on Water Supply Capacity

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