On the stochastic simulation procedure of estimating critical hydraulic gradient for gas storage in unlined rock caverns

Jitae Kim, Woncheol Cho, Il Moon Chung, Jun-Haeng Heo

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

We investigated some aspects of spatial variability and their effect on critical hydraulic gradient which is essential for gas containment of underground storage caverns. Monte Carlo technique can be effectively applied to obtain an approximate solution to the two-dimensional steady flow of a stochastically defined nonuniform medium. For the stochastic simulation we generated hydraulic conductivity field on the selected grid resolution using HYDRO_GEN with estimated (based on actual data) ln-K statistics with mean, variance, anisotropic integral scales. In this study, among various covariance functions, a Gaussian covariance function (GCF) was used. To find the critical value of the hydraulic gradient, probability density functions (PDFs) using 1000 outputs at an interested cell were developed. The results obtained in this study were compared with previous results for an exponential covariance function (ECF). It was found that in a stationary ln K field the uncertainty of hydraulic head and gradient depend not only on the variance and integral scale of the In K field but also on the shape of its covariance function. From these results we can conclude that the critical range of hydraulic gradient is significantly affected by the type of covariance function. Thus, when critical hydraulic gradient is to be determined one should consider shape of covariance function as well as statistical parameters such as mean, variance and correlation scale.

Original languageEnglish
Pages (from-to)249-258
Number of pages10
JournalGeosciences Journal
Volume11
Issue number3
DOIs
Publication statusPublished - 2007 Sep 30

Fingerprint

gas storage
cavern
hydraulics
rock
simulation
two-dimensional flow
underground storage
hydraulic head
steady flow
probability density function
containment
hydraulic conductivity
gas

All Science Journal Classification (ASJC) codes

  • Environmental Science(all)
  • Earth and Planetary Sciences(all)

Cite this

@article{f6affb3dd64941f9aaee2dc5d64b6a32,
title = "On the stochastic simulation procedure of estimating critical hydraulic gradient for gas storage in unlined rock caverns",
abstract = "We investigated some aspects of spatial variability and their effect on critical hydraulic gradient which is essential for gas containment of underground storage caverns. Monte Carlo technique can be effectively applied to obtain an approximate solution to the two-dimensional steady flow of a stochastically defined nonuniform medium. For the stochastic simulation we generated hydraulic conductivity field on the selected grid resolution using HYDRO_GEN with estimated (based on actual data) ln-K statistics with mean, variance, anisotropic integral scales. In this study, among various covariance functions, a Gaussian covariance function (GCF) was used. To find the critical value of the hydraulic gradient, probability density functions (PDFs) using 1000 outputs at an interested cell were developed. The results obtained in this study were compared with previous results for an exponential covariance function (ECF). It was found that in a stationary ln K field the uncertainty of hydraulic head and gradient depend not only on the variance and integral scale of the In K field but also on the shape of its covariance function. From these results we can conclude that the critical range of hydraulic gradient is significantly affected by the type of covariance function. Thus, when critical hydraulic gradient is to be determined one should consider shape of covariance function as well as statistical parameters such as mean, variance and correlation scale.",
author = "Jitae Kim and Woncheol Cho and Chung, {Il Moon} and Jun-Haeng Heo",
year = "2007",
month = "9",
day = "30",
doi = "10.1007/BF02913938",
language = "English",
volume = "11",
pages = "249--258",
journal = "Geosciences Journal",
issn = "1226-4806",
publisher = "Korean Association of Geoscience Societies",
number = "3",

}

On the stochastic simulation procedure of estimating critical hydraulic gradient for gas storage in unlined rock caverns. / Kim, Jitae; Cho, Woncheol; Chung, Il Moon; Heo, Jun-Haeng.

In: Geosciences Journal, Vol. 11, No. 3, 30.09.2007, p. 249-258.

Research output: Contribution to journalArticle

TY - JOUR

T1 - On the stochastic simulation procedure of estimating critical hydraulic gradient for gas storage in unlined rock caverns

AU - Kim, Jitae

AU - Cho, Woncheol

AU - Chung, Il Moon

AU - Heo, Jun-Haeng

PY - 2007/9/30

Y1 - 2007/9/30

N2 - We investigated some aspects of spatial variability and their effect on critical hydraulic gradient which is essential for gas containment of underground storage caverns. Monte Carlo technique can be effectively applied to obtain an approximate solution to the two-dimensional steady flow of a stochastically defined nonuniform medium. For the stochastic simulation we generated hydraulic conductivity field on the selected grid resolution using HYDRO_GEN with estimated (based on actual data) ln-K statistics with mean, variance, anisotropic integral scales. In this study, among various covariance functions, a Gaussian covariance function (GCF) was used. To find the critical value of the hydraulic gradient, probability density functions (PDFs) using 1000 outputs at an interested cell were developed. The results obtained in this study were compared with previous results for an exponential covariance function (ECF). It was found that in a stationary ln K field the uncertainty of hydraulic head and gradient depend not only on the variance and integral scale of the In K field but also on the shape of its covariance function. From these results we can conclude that the critical range of hydraulic gradient is significantly affected by the type of covariance function. Thus, when critical hydraulic gradient is to be determined one should consider shape of covariance function as well as statistical parameters such as mean, variance and correlation scale.

AB - We investigated some aspects of spatial variability and their effect on critical hydraulic gradient which is essential for gas containment of underground storage caverns. Monte Carlo technique can be effectively applied to obtain an approximate solution to the two-dimensional steady flow of a stochastically defined nonuniform medium. For the stochastic simulation we generated hydraulic conductivity field on the selected grid resolution using HYDRO_GEN with estimated (based on actual data) ln-K statistics with mean, variance, anisotropic integral scales. In this study, among various covariance functions, a Gaussian covariance function (GCF) was used. To find the critical value of the hydraulic gradient, probability density functions (PDFs) using 1000 outputs at an interested cell were developed. The results obtained in this study were compared with previous results for an exponential covariance function (ECF). It was found that in a stationary ln K field the uncertainty of hydraulic head and gradient depend not only on the variance and integral scale of the In K field but also on the shape of its covariance function. From these results we can conclude that the critical range of hydraulic gradient is significantly affected by the type of covariance function. Thus, when critical hydraulic gradient is to be determined one should consider shape of covariance function as well as statistical parameters such as mean, variance and correlation scale.

UR - http://www.scopus.com/inward/record.url?scp=37249037986&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=37249037986&partnerID=8YFLogxK

U2 - 10.1007/BF02913938

DO - 10.1007/BF02913938

M3 - Article

AN - SCOPUS:37249037986

VL - 11

SP - 249

EP - 258

JO - Geosciences Journal

JF - Geosciences Journal

SN - 1226-4806

IS - 3

ER -