American Journal of Civil Engineering and Architecture
ISSN (Print): 2328-398X ISSN (Online): 2328-3998 Website: Editor-in-chief: Dr. Mohammad Arif Kamal
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American Journal of Civil Engineering and Architecture. 2013, 1(6), 181-199
DOI: 10.12691/ajcea-1-6-8
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Investigation of Oil Reservoir Vibration under the Impact of Earthquake in Proper and Corrosion-Occurred Tanks

Afshin Mansouri1, and Babak Aminnejad2

1Department of Civil Engineering, Master of civil Engineering, The University of Roudehen Branch, Tehran, Iran

2Department of Civil Engineering, Faculty of Civil Engineering, The University of Roudehen Branch, Tehran, Iran

Pub. Date: November 28, 2013

Cite this paper:
Afshin Mansouri and Babak Aminnejad. Investigation of Oil Reservoir Vibration under the Impact of Earthquake in Proper and Corrosion-Occurred Tanks. American Journal of Civil Engineering and Architecture. 2013; 1(6):181-199. doi: 10.12691/ajcea-1-6-8


Steel cylindrical reservoirs had the highest utilization in the field of oil source storage and petrochemical in the recent years due to their significant importance. These types of reservoirs are conventionally made with steady and floating roofs. Long term erosion agents have destructive impacts on dynamic features of these reservoirs. Results of numerical researches demonstrate that the internal corrosion of reservoir walls as a constant dependent to time, which is made due to the connection of fluids and chemical interactions with the internal wall of reservoir causes the corrosion of inside the reservoir wall and reduction in wall stiffness. In this research dynamic behavior of three models of steel cylindrical reservoirs (with the same height to diameter proportion) containing fluid is modeled using ANSYS software by applying the finite element method. In this modeling, features of a cylindrical reservoir containing 0.9 height of liquid is used which its fluid is considered to be incompressible and viscose. First Modal and Harmonic analyses are used to evaluate the natural frequency and formed mode-shapes in the tank-fluid system. These models are compared and verified with the similar and current experimental formulas. Next by applying corrosion on one of the tanks, dynamic features are evaluated using the software. Then some mass is applied in the place of corrosion to the walls of reservoir with proper boundary conditions in several steps, which in each step, the changes in the added mass are considered using the transient analysis and finally the natural frequency is evaluated. This cycle continued until the frequency of reservoir having added mass has equaled to the frequency of corrosion reservoir which this method is called equivalent mass. In the end, the added mass to the reservoir is formulated using mathematical techniques. Based on the analytical results we found that corrosion or long term erosion have remarkable influences on natural frequency, mode-shapes of structures and its vibration.

cylindrical reservoir natural frequency added mass

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[1]  Cho. J. R, Song. J. M, Lee. J. K “ Finite element techniques for the free-vibration and seismic analysis of liquid-storage tanks” Finite Elements in Analysis and Design, Vol 37, 2001, pp 467-483.
[2]  Shrimali. M. K, Jangid. R.S “ Seismic response of liquid storage tanks isolated by sliding bearings” Engineering Structures, Vol 24, 2002, pp 909-921.
[3]  Fan Jiashen, Li Jibin “ Dynamic stability of liquid storage cylindrical tanks subjected to horizontal seismic force excitation” Applied Mathematical Modelling, Vol 18, 1994, pp 373-383.
[4]  Shrimali. M. K, Jangid. R. S “Non-linear seismic response of base-isolated liquid storage tanks to bi-directional excitation” Nuclear Engineering and Design, Vol 217, 2002, pp 1-20.
[5]  Kyung Hwan Cho, Moon Kyum Kim, Yun Mook Lim, Seong Yong Cho “Seismic response of base-isolated liquid storage tanks considering fluid–structure–soil interaction in time domain” Soil Dynamics and Earthquake Engineering, Vol 24, 2004, pp 839-852.
[6]  Pranesh Chatterjee, Biswajit Basu. “Nonstationary seismic response of a tank on a bilinear hysteretic soil using wavelet transform” Probabilistic Engineering Mechanics, Vol 21, 2006, pp 54-63.
[7]  Hugo Hernández-Barrios, Ernesto Heredia-Zavoni, Álvaro A. Aldama-Rodríguez “Nonlinear sloshing response of cylindrical tanks subjected to earthquake ground motion” Engineering Structures, Vol 29, 2007, pp 3364-3376.
[8]  Panchal. V. R, Jangid. R. S “Variable friction pendulum system for seismic isolation of liquid storage tanks” Nuclear Engineering and Design, Vol 238, 2008, pp 1304-1315.
[9]  Ahari. Nourali, Eshghi. Masoud, Ghafory. Sassan, Ashtiany. Mohsen “The tapered beam model for bottom plate uplift analysis of unanchored cylindrical steel storage tanks” Engineering Structures, Vol 312009, pp 623-632.
[10]  Dehghan Manshadi. S. H, Maheri. Mahmoud. R “The effects of long-term corrosion on the dynamic characteristics of ground based cylindrical liquid storage tanks” Thin-Walled Structures, Vol 48, 2010, pp 888-896.
[11]  Ayman. A. Seleemah, Mohamed. El-Sharkawy “Seismic response of base isolated liquid storage ground tanks” Ain Shams Engineering Journal, Vol 2, 2011, pp 33-42.
[12]  Moslemi. M, Kianoush. M. R “Parametric study on dynamic behavior of cylindrical ground-supported tank“Engineering Structures, Vol 42, 2012, pp 214-230.
[13]  A. Zagorski, H. Matysiak, O. Tsyrulnyk, O. Zvirko, H. Nykyforchyn, and K. Kurzydlowski. “Corrosion and stress-corrosion cracking of exploited storage tank steel”. Materials Science, Vol. 40, No. 3, 2004.
[14]  Veletsos AS,Yang JY. “Earthquake response of liquid storage tanks advences in civil engineering through mechanics”. Proceedings of the second engineering mechanics specialty conference.Raleigh(NC):ASCE,1977.pp 1-24.
[15]  Haroun, M.A., 1983, “Vibration studies and tests of liquid storage tanks”,Earthquake Engineering&Structural Dynamics, 2, 179-206.
[16]  Maheri, M.R., Severn, R.T., (1986), “Hydrodynamic effects in steel liquid storage tanks”, Steel structures, Recent Research Advances and their Applications to Design, 483-508.
[17]  Medvedea, M.L., and Tiam, T.D., (1998), “Classification of corrosion damage in steel storage tanks”, chemical and petroleum engineering, 9-10.
[18]  Ranjbaran, A., Shokrzadeh, A.R., Khosravi. S., 2010, “A new finite element analysis of free axial vibration of cracked bars”, International Jornal For Numerical Methods inBiomedical Engineering.
[19]  Veletsos, A.S., Yang, J.Y., 1977, “earthquake response of liquid storage tanks advences in civil engineering through mechanics”, Proceedings of the second engineering mechanics specialty conference, 1-24.
[20]  Virella, J.C., Godoy, L.A., Su´arez, L.A., 2003, “Fundamental modes of tank-liquid systems under horizontal motions”, Engineering Structures, 28, 1450-1461.