Abstract
The loss of containment due to seismically induced liquid overtopping tanks with floating roofs was addressed by introducing a risk-targeted freeboard seismic design. The proposed practice-oriented procedure can be applied to new or existing tanks for which the freeboard was designed based on the tank wall height or liquid height, respectively. It combines the conventional seismic risk equation, and the code-based equation for the maximum vertical liquid displacement at the tank wall corresponding to the seismic action. The inconsistency in the intensity measures used in the two equations was solved by a carefully estimated mean acceleration spectrum that was used to convert spectral accelerations at different periods. The proposed design approach was verified in two numerical examples based on the previously assessed seismic risk for a given freeboard of a broad liquid storage tank located in Italy. Parametric studies were conducted to obtain insights into the sensitivity of risk-targeted freeboards to the design input parameters. It was realised that the assumed standard deviation of the logarithmic values of the spectral accelerations causing the loss of containment did not significantly affect the design, whereas the seismicity level at the site and the target probability of loss of containment had a significant impact. A design procedure was also used to develop risk-targeted freeboard maps for Slovenia. It was demonstrated that variation in the risk-targeted freeboard in Slovenia could be as much as 12-fold, which is certainly not negligible when selecting tank sites or defining the maximum liquid height for existing tanks.
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The datasets generated and analysed during the current study are available from the corresponding author on reasonable request.
References
Baker JW (2010) Conditional mean spectrum: tool for ground-motion selection. J Struct Eng 137:322–331. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000215
Brunesi E, Nascimbene R, Pagani M, Beilic D (2018) Seismic performance of storage steel tanks during the May 2012 Emilia, Italy, Earthquakes. J Perform Constr Facil 29(5):04014137. https://doi.org/10.1061/(ASCE)CF.1943-5509.0000628
Caprinozzi S, Paolacci F, Dolšek M (2020) Seismic risk assessment of liquid overtopping in a steel storage tank equipped with a single deck floating roof. J Loss Prev Process Ind. https://doi.org/10.1016/j.jlp.2020.104269
Caprinozzi S, Paolacci F, Bursi OS, Dolšek M (2021) Seismic performance of a floating roof in an unanchored broad storage tank: experimental tests and numerical simulations. J Fluids Struct. https://doi.org/10.1016/j.jfluidstructs.2021.103341
CEA (2017) Component fragility evaluation, seismic safety assessment and design of petrochemical plants under design-basis and beyond-design-basis accident conditions (INDUSE-2-SAFETY). Commissariat a L’energie Atomique et Aux Energies Alternatives. Saclay, France.
Celano F, Dolšek M, Žižmond J (2018) The evaluation of risk-targeted safety factors and behaviour factor for selected steel structures. In: Proceedings 16th European Conference on Earthquake Engineering. Thessaloniki, Greece, pp 1–12.
CEN (2006) EN 1998–4:2006. Eurocode 8: design of structures for earthquake resistance—Part 4: Silos, tanks and pipelines
CEN (2019) CEN/TC 250/SC 8: Eurocode 8 - design of structures for earthquake resistance —Part 1-1: general rules and seismic action. European Committee for Standardisation, Brussels
Danciu L, Nandan S, Reyes C, Basili R, Weatherill G, Beauval C, Rovida A, Vilanova S, Sesetyan K, Bard P-Y, Cotton F, Wiemer S, Giardini D (2021) The 2020 Update of the European Seismic Hazard Model - ESHM20: Model Overview. EFEHR Technical Report 001, v1.0.0; 2021. doi:https://doi.org/10.12686/a15
De Angelis M, Giannini R, Paolacci F (2010) Experimental investigation on the seismic response of a steel liquid storage tank equipped with floating roof by shaking table tests. Earthq Eng Struct Dyn 39:377–396. https://doi.org/10.1002/eqe.945
Dolšek M, Žižmond J, Babić A, et al (2020) Seismic stress test of building stock in the Republic of Slovenia (2020–2050) (in Slovenian). University of Ljubljana, Faculty of Civil and Geodetic Engineering, Institute of Structural Engineering, Earthquake Engineering and Construction IT, Ljubljana, Slovenija.
Epa US (1978) Control of volatile organic emissions from petroleum liquid storage in external floating roof tanks. Environmental Protection Agency, U.S
Epa US (1995) AP-42: compilation of air pollutant emission factors, vol I. Environmental Protection Agency, U.S
Franchin P, Petrini F, Mollaioli F (2018) Improved risk-targeted performance-based seismic design of reinforced concrete frame structures. Earthq Eng Struct Dyn 47:49–67. https://doi.org/10.1002/eqe.2936
Goudarzi MA (2015) Seismic design of a double deck floating roof type used for liquid storage tanks. J Pressure Vessel Technol 137:1–7. https://doi.org/10.1115/1.4029111
Hatayama K (2008) Lessons from the 2003 Tokachi-oki, Japan, earthquake for prediction of long-period strong ground motions and sloshing damage to oil storage tanks. J Seismol 12:255–263. https://doi.org/10.1007/s10950-007-9066-y
Hatayama K, Zama S, Yoshida S (2018) Measurement of natural frequencies of the fluid-elastic coupled shell plate vibration of a large-sized cylindrical steel tank by microtremor observation. In: Proceedings of the ASME 2018 Pressure Vessels and Piping Conference. Volume 8: Seismic Engineering. Prague, Czech Republic. July 15–20, 2018. https://doi.org/10.1115/PVP2018-84547
Jalayer F (2003) Direct probabilistic seismic analysis: implementing non-linear dynamic assessment. In: Doctoral dissertation, Stanford University.
Kozak A, Cacciatore PJ, Gustafsson LM (2010) Seismic response of floating roof liquid storage tanks part II. Contact pressure approach. In: Proceedings of the ASME 2010 Pressure Vessels and Piping Division/K-PVP Conference. ASME 2010 Pressure Vessels and Piping Conference: Volume 4. Bellevue, Washington, USA. July 18–22, 2010. pp 127–138. ASME.
Krausmann E, Cruz AM, Affeltranger B (2010) The impact of the 12 May 2008 Wenchuan earthquake on industrial facilities. J Loss Prev Process Ind 23:242–248. https://doi.org/10.1016/j.jlp.2020.104269
Lazar N, Dolšek M (2012) Risk-based seismic design – An alternative to current standards for earthquake-resistant design of buildings. In: Proceedings of the 15h World Conference on Earthquake Engineering. Lisboa, Portugal, pp 1–10.
Lazar N, Dolšek M (2014) Incorporating intensity bounds for assessing the seismic safety of structures: does it matter? Earthq Eng Struct Dyn 43:717–738. https://doi.org/10.1002/eqe.2368
Luzi L, Pacor F, Puglia R (2019) Italian Accelerometric Archive v 3.0. Istituto Nazionale di Geofisica e Vulcanologia, Dipartimento della Protezione Civile Nazionale.
Malhotra PK (1995) Base uplifting analysis of flexibly supported liquid-storage tanks. Earthq Eng Struct Dyn 24:1591–1607. https://doi.org/10.1002/eqe.4290241204
Malhotra PK (1997) Seismic response of soil-supported unanchored liquid-storage tanks. J Struct Eng 123(4):440–450. https://doi.org/10.1061/(ASCE)0733-9445(1997)123:4(440)
Malhotra PK, Wenk T, Wieland M (2000) Simple procedure for seismic analysis of liquid-storage tanks. Struct Eng Int J Int Assoc Bridge Struct Eng IABSE 10:197–201. https://doi.org/10.2749/101686600780481509
Manos JC (1991) Evaluation of the earthquake performance of anchored wine tanks during the San Juan, Argentina, 1977 earthquakes. Earthq Eng Struct Dyn 20(12):1099–1114. https://doi.org/10.1002/eqe.4290201202
McGuire RK (2004) Seismic hazard and risk analysis. Earthquake Engineering Research Institute.
Merino RJ, Brunesi E, Nascimbene R (2020) Probabilistic evaluation of earthquake-induced sloshing wave height in above-ground liquid storage tanks. Eng Struct 202:109870. https://doi.org/10.1016/j.engstruct.2019.109870
NIST (1995) A study of the performance of petroleum storage tanks during earthquakes, 1993–1995. National Institute of Standard and Technology. Gaithersburg, Maryland.
Ozsarac V, Brunesi E, Nascimbene R (2021) Earthquake-induced nonlinear sloshing response of above-ground steel tanks with damped or undamped floating roof. Soil Dyn Earthq Eng 144:106673. https://doi.org/10.1016/j.soildyn.2021.106673
Pagani M, Monelli D, Weatherill G et al (2014) OpenQuake engine: an open hazard (and Risk) software for the global earthquake model. Seismol Res Lett 85:692–702. https://doi.org/10.1785/0220130087
Paolacci P, Giannini R, De Angelis M (2013) Seismic response mitigation of chemical plant components by passive control techniques. J Loss Prev Process Ind 26(5):924–935. https://doi.org/10.1016/j.jlp.2013.03.003
Phan HN, Paolacci F (2016) Efficient intensity measures for probabilistic seismic response analysis of anchored above-ground liquid steel storage tanks. In: Proceedings of the ASME 2016 Pressure Vessels and Piping Conference. Volume 5: High-Pressure Technology; Rudy Scavuzzo Student Paper Symposium and 24th Annual Student Paper Competition; ASME Nondestructive Evaluation, Diagnosis and Prognosis Division (NDPD); Electric Power Research Institute (EPRI) Creep Fatigue Workshop. Vancouver, British Columbia, Canada. July 17–21, 2016. https://doi.org/10.1115/PVP2016-63103
Pinto PE, Giannini R, Franchin P (2004) Seismic reliability analysis of structures, 1st edn. IUSS Press, Pavia
Rojas HA, Foley C, Pezeshk S (2011) Risk-based seismic design for optimal structural and nonstructural system performance. Earthq Spectra 27:857–880. https://doi.org/10.1193/1.3609877
Woessner J, Laurentiu D, Giardini D, Crowley H, Cotton F, Grünthal G, Valensise G, Arvidsson R, Basili R, Demircioglu MB, Hiemer S, Meletti C, Musson RW, Rovida AN, Sesetyan K, Stucchi M (2015) The 2013 European seismic hazard model: key components and results. Bull Earthq Eng 13:3553–3596. https://doi.org/10.1007/s10518-015-9795-1
Yamauchi Y, Kamei A, Zama S, Uchida Y (2006) Seismic design of floating roof of oil storage tanks under liquid sloshing. In: Proceedings of the ASME 2006 Pressure Vessels and Piping/ICPVT-11 Conference. Volume 4: Fluid Structure Interaction, Parts A and B. Vancouver, BC, Canada. July 23–27, 2006. pp. 1407–1415. ASME. https://doi.org/10.1115/PVP2006-ICPVT-11-93280
Žižmond J, Dolšek M (2017) The formulation of risk-targeted behaviour factor and its application to reinforced concrete buildings. In: 16th World Conference on Earthquake. Santiago, Chile, pp 1–11
Žižmond J, Dolšek M (2019) Formulation of risk-targeted seismic action for the force-based seismic design of structures. Earthq Eng Struct Dyn 48:1406–1428. https://doi.org/10.1002/eqe.3206
Funding
The work presented herein was partially carried out with a financial grant from the H2020 Marie Skłodowska Curie Innovative Training Network as part of the research project, XP-RESILIENCE (G.A. 721816). The authors also acknowledge funding from the Slovenian Research Agency (Research Program Earthquake Engineering, J2-0185). The first author acknowledges the support from the SafePlant s.r.l. (Rome, Italy).
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Caprinozzi, S., Žižmond, J. & Dolšek, M. Risk-targeted seismic design of the freeboard for steel storage tanks equipped with floating roofs. Bull Earthquake Eng 22, 5–28 (2024). https://doi.org/10.1007/s10518-022-01564-z
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DOI: https://doi.org/10.1007/s10518-022-01564-z