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A Solute Transport Analysis around Underground Storage Cavern by using Eigenvalue Numerical Technique  

Chung, Il-Moon (Hydrology Research Division, Korea Institute of Construction Technology)
Kim, Ji-Tae (Hydrology Research Division, Korea Institute of Construction Technology)
Cho, Won-Cheol (Department of Civil and Environmental Engineering, Yonsei University)
Kim, Nam-Won (Hydrology Research Division, Korea Institute of Construction Technology)
Publication Information
The Journal of Engineering Geology / v.18, no.4, 2008 , pp. 381-391 More about this Journal
Abstract
The eigenvalue technique is introduced to overcome the problem of truncation errors caused by temporal discretization of numerical analysis. The eigenvalue technique is different from simulation in that only the space is discretized. The spatially discretized equation is diagonized and the linear dynamic system is then decoupled. The time integration can be done independently and continuously for any nodal point at any time. The results of eigenvalue technique are compared with the exact solution and FEM numerical solution. The eigenvalue technique is more efficient than the FEM to the computation time and the computer storage in the same conditions. This technique is applied to the solute transport analysis in nonuniform flow fields around underground storage caverns. This method can be very useful for time consuming simulations. So, a sensitivity analysis is carried out by using this method to analyze the safety of caverns from nearly located contaminant sources. According to the simulations, the reaching time from source to the nearest cavern may takes 50 years with longitudinal dispersivity of 50 m and transversal dispersivity of 5 m, respectively.
Keywords
eigenvalue technique; truncation errors; time integration; sensitivity analysis; underground storage cavern;
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Times Cited By KSCI : 1  (Citation Analysis)
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