Geosciences Journal

The Association of Korean Geoscience Societies (한국지질과학협의회)
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On the stochastic simulation procedure of estimating critical hydraulic gradient for gas storage in unlined rock caverns

Kim, Ji-Tae;Cho, Won-Cheol;Chung, Il-Moon;Heo, Jun-Haeng

  • Published : 20070900
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Abstract

We investigated some aspects of spatial variabilityand their effect on critical hydraulic gradient which is essential forgas containment of underground storage caverns. Monte Carlotechnique can be effectively applied to obtain an approximate solutionto the two-dimensional steady flow of a stochastically defined non-uniform medium. For the stochastic simulation we generatedhydraulic conductivity field on the selected grid resolution usingHYDRO_GEN with estimated (based on actual data) ln-K statis-tics with mean, variance, anisotropic integral scales. In this study,among various covariance functions, a Gaussian covariance func-tion (GCF) was used. To find the critical value of the hydraulicgradient, probability density functions (PDFs) using 1000 outputsat an interested cell were developed. The results obtained in thisstudy were compared with previous results for an exponentialcovariance function (ECF). It was found that in a stationary ln Kfield the uncertainty of hydraulic head and gradient depend notonly on the variance and integral scale of the ln K field but also onthe shape of its covariance function. From these results we canconclude that the critical range of hydraulic gradient is signifi-cantly affected by the type of covariance function. Thus, whencritical hydraulic gradient is to be determined one should considershape of covariance function as well as statistical parameters suchas mean, variance and correlation scale. Key words : gas containment; underground storage cavern; spatialvariability of hydraulic conductivity, critical hydraulic gradient, cova-riance function

Keywords

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