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Steady seepage simulation of underground oil storage caverns based on Signorini type variational inequality formulation

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Abstract

To analyze the seepage characteristics of water-sealed underground oil storage caverns, a calculation software was programmed based on the Signorini type variational inequality formulation. The storage region and boundary condition of oil-groundwater contact surface were generalized, and a two-dimensional numerical simulation model of finite-element method was built. The seepage characteristics and the water inflow of oil storage caverns were analyzed, while the conditions of different oil levels in caverns with water curtain system were taken into account. The effect of a water curtain system was assessed, and the design parameters of water curtain system such as width, water pressure, borehole space, and elevation were evaluated. The seepage simulation model was applied to estimate the seepage field and water inflow of the Huangdao underground oil storage caverns during the future operation period.

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References

  • Bruch Jr., J.C., 1980a, A survey of free boundary value problems in the theory of fluid flow through porous media: variational inequality approach—Part I. Advances in Water Resources, 3, 65–80.

    Article  Google Scholar 

  • Bruch Jr., J.C., 1980b, A survey of free boundary value problems in the theory of fluid flow through porous media: variational inequality approach—Part II. Advances in Water Resources, 3, 115–124.

    Article  Google Scholar 

  • Chen, Y.F., Zhou, C.B., and Zheng, H., 2008, A numerical solution to seepage problems with complex drainage systems. Computers and Geotechnics, 35, 383–393.

    Article  Google Scholar 

  • Chen, Y.F., Hu, R., Zhou, C.B., Li, D.Q., and Rong, G., 2011a, A new parabolic variational inequality formulation of Signorini's condition for non-steady seepage problems with complex seepage control systems. International Journal for Numerical and Analytical Methods in Geomechanics, 35, 1034–1058.

    Article  Google Scholar 

  • Chen, Y.F., Hu, R., Lu, W., Li, D.Q., and Zhou, C.B., 2011b, Modeling coupled processes of non-steady seepage flow and non-linear deformation for a concrete-faced rockfill dam. Computers & Structures, 89, 1333–1351.

    Article  Google Scholar 

  • Desai, C.S. and Li, G.C., 1983, A residual flow procedure and application for free surface flow in porous media. Advances in Water Resources, 6, 27–35.

    Article  Google Scholar 

  • Desai, C.S., Lightner, J.G., and Somasundaram, S., 1983, A numerical procedure for three-dimensional transient free surface seepage. Advances in Water Resources, 6, 175–181.

    Article  Google Scholar 

  • Finsterle, S., Ahlers, C.F., Trautz, R.C., and Cook, P.J., 2003, Inverse and predictive modeling of seepage into underground openings. Journal of Contaminant Hydrology, 62, 89–109.

    Article  Google Scholar 

  • Jiang, Z.M., Feng, S.R., Zeng, L., Zhao, H.B., and Mei, S.H., 2011, Numerical study on variation features of water table in area of underground rock cavern for oil storage. Chinese Journal of Geotechnical Engineering, 33, 1780–1785. (in Chinese with English abstract)

    Google Scholar 

  • Kim, J., Cho, W., Chung, I.M., and Heo, J.H., 2007, On the stochastic simulation procedure of estimating critical hydraulic gradient for gas storage in unlined rock caverns. Geosciences Journal, 11, 249–258.

    Article  Google Scholar 

  • Liang, J. and Lindblom, U., 1994, Analyses of gas storage capacity in unlined rock caverns. Rock Mechanics and Rock Engineering, 27, 115–134.

    Article  Google Scholar 

  • Lee, C.I. and Song, J.J., 2003, Rock engineering in underground energy storage in Korea. Tunnelling and Underground Space Technology, 18, 467–483.

    Article  Google Scholar 

  • Li, Z.K., Wang, K.Z., Wang, A.M., and Liu, H., 2009, Experimental study of water curtain performance for gas storage in an underground cavern. Journal of Rock Mechanics and Geotechnical Engineering, 1, 89–96.

    Google Scholar 

  • Liu, Q.Y., Wan, L., Zhang, B.X., Cao, G.L., and Zhang, X., 2009, Numerical simulation analysis of influence of water-sealed underground oil storage in rock caverns on groundwater. Advances in Science and Technology of Water Resources, 29, 61–65. (in Chinese with English abstract)

    Google Scholar 

  • Norwegian Tunnelling Society, 2007, Underground constructions for the Norwegian oil and gas industry. Norway, Publication No.16.

    Google Scholar 

  • Su, B.Y., Shen, Z.Z., and Zhao, J., 1996, The cut-off negative pressure method for solving filtration problem based on the theory of variational inequalities. Journal of Hydraulic Engineering, 3, 22–28. (in Chinese with English abstract)

    Google Scholar 

  • Sun, J.P. and Zhao, Z.Y., 2010, Effects of anisotropic permeability of fractured rock masses on underground oil storage caverns. Tunnelling and Underground Space Technology, 25, 629–637.

    Article  Google Scholar 

  • Shi, H.B. and Liu, B.G., 2010, Design and seepage discharge analysis of artificial water curtains for water sealed underground petroleum storage caverns in rock. Chinese Journal of Geotechnical Engineering, 32, 130–137. (in Chinese with English abstract)

    Google Scholar 

  • Thunvik, R. and Braester, C., 1980, Modelling of ground water flow around oil storage caverns. Applied Mathematical Modelling, 4, 225–227.

    Article  Google Scholar 

  • Yang, H.S., Kang, J.G., Kim, K.S., and Kim, C.S., 2004, Groundwater flow characterization in the vicinity of the underground caverns in fractured rock masses by numerical modeling. Geosciences Journal, 8, 401–413.

    Article  Google Scholar 

  • Yoshida, H., Maejima, T., Nakajima, S., Nakamura, Y., and Yoshida, S., 2013, Features of fractures forming flow paths in granitic rock at an LPG storage site in the orogenic field of Japan. Engineering Geology, 152, 77–86.

    Article  Google Scholar 

  • Zheng, T.S., Li, L., and Xu, Q.Y., 1995, An iterative method for the discrete problems of a class of elliptical variational inequalities. Applied Mathematics and Mechanics, 16, 351–358.

    Article  Google Scholar 

  • Zheng, H., Liu, D.F., Lee, C.F., and Tham, L.G., 2005, New variational inequality formulation for seepage problems with free surfaces. Applied Mathematics and Mechanics, 64, 1–16.

    Google Scholar 

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Correspondence to Yunfeng Dai.

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Dai, Y., Zhou, Z. Steady seepage simulation of underground oil storage caverns based on Signorini type variational inequality formulation. Geosci J 19, 341–355 (2015). https://doi.org/10.1007/s12303-014-0041-7

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  • DOI: https://doi.org/10.1007/s12303-014-0041-7

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