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Application of genetic algorithms for the estimation of hydraulic conductivity

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In the study described here model calibration was performed employing the inverse analysis using genetic algorithms (GA). The objective of analysis is to determine value of the coefficient of hydraulic conductivity, k. The commonly used method for the determination of coefficient of hydraulic conductivity based on Terzaghi consolidation leads to an underestimation of the value of k as the Terzaghi model does not take into account the deformation of soil skeleton. Here, an alternative methodology based on genetic algorithms is presented for the determination of the basic parameters of Biot consolidation model. It has been demonstrated that genetic algorithms are a highly effective tool enabling automatic calibration based on simple rules. The values of the coefficient of hydraulic conductivity obtained with GA are of at least one order smaller than values obtained with the Terzaghi model.
Wydawca
Rocznik
Strony
140--146
Opis fizyczny
Bibliogr. 28 poz., rys., tab.
Twórcy
  • Wrocław University of Technology, Faculty of Geoengineering, Mining and Geology
  • Wrocław University of Technology, Faculty of Technology And Natural Sciences
Bibliografia
  • [1] Abkenar S., Stanley S., Miller C., Chase D., McElmurry S. (2015). Evaluation of genetic algorithms using discrete and continuous methods for pump optimization of water distribution systems, Sustainable Computing: Informatics and Systems, Volume 8, Pages 18-23,
  • [2] Anderson-Cook C. (2012) Practical Genetic Algorithms, Journal of the American Statistical Association, 100:471, 1099, DOI: 10.1198/jasa.2005.s45
  • [3] Auriaullt J.L.: (1991) Dynamic behaviour of porous media, Transport Processes in Porous Media, Kluver Academic Publishers, 471-519.
  • [4] Auriault J.L, Strzelecki T., Bauer J. He.S,: (1990) Porous deformable media by a very compressible Fluid, Eur. J. Mech. a/Solid, 9,4,1990, pp. 373-392.
  • [5] Auriault J.L., Sanchez Palencia E.: (1977), Etude de comportement macroscopique d’un milieu poreux sature deformable, Journal de Mecanique,16(4), 575-603.
  • [6] Bartlewska M., Strzelecki T.: (2006), A methodology for determining the effective parameters of the Biot body (in Polish), 6th Scientific Conference, Szklarska Poręba, 23-25 March 2006, Research Papers of the Institute of Mining, Wrocław University of Technology, 116, Conference Series 47.
  • [7] Bartlewska-Urban M., Strzelecki T.: (2008), One-dimensional consolidation of the porous medium with the rheological Kelvin-Voigt skeleton, Studia Geotechnica et Mechanica. vol. 30, No. 1/2, pp. 115-122.
  • [8] Bartlewska M., Strzelecki T.(2008): One-dimensional consolidation of the porous medium with the Rheological Kelvin-Voight skeleton, Studia Geotechnica et Mechanica, Vol. XXX, No. 1-2. 2008.
  • [9] Bartlewska M.: (2009) PhD thesis entitled: Determination of the effective parameters of rheological models of cohesive soils (in Polish), Wrocław University of Technology, Faculty of Geoengineering, Mining and Geology, Wrocław.
  • [10] Bartlewska M, Strzelecki T.: (2009) Equations of Biot’s consolidation with Kelvin-Voight rheological frame, Studia Geotechnica et Mechanica, Vol. XXXI, No. 2, pp. 3-15.
  • [11] Bartlewska-Urban M., Strzelecki T., Urban R.: (2015) Determination of effective parameters of Biot model with the Kelvin–Voight rheological skeleton, Archives of Civil and Mechanical Engineering 01/2015; DOI:10.1016/j.acme.2014.12.07.
  • [12] Bensoussan A., Lions J.L., Papanicolau G.: (1978), Asymptotic analysis for periodic structures, North Holland Publishing Company, Amsterdam.
  • [13] Biot M.A.,: (1956), General Solutions of the Equations of Elasticity and Consolidation of a Porous Material, J. Appl. Mech., 23.
  • [14] Biot M.A.: (1941), General theory of three-dimensional consolidation, J. Appl. Phys. No 12 s. 155,
  • [15] Biot M.A. Willis D.G. (1957) The Elastic Coefficients of the Theory of Consolidations, J. Appl. Mech., 24,
  • [16] Flex PDE 6, (2009), Ver. 6, www.pdesolution.com., PDE Solutions Inc.
  • [17] Goldberg D., Holland J., (1988) Genetic Algorithms and Machine Learning, Machine Learning, Volume 3, Issue 2-3, 95-99
  • [18] Goldberg D. (1989). Genetic Algorithms in Search, Optimization, and Machine Learning. Addison-Wesley.
  • [19] Gen M., Cheng R. (2000), Genetic Algorithms and Engineering Optimization. John Wiley & Sons, ISBN 0-471-31531-1.
  • [20] Kröner E.: (1980), Effective elastic moduli of periodic and random media: a unification, Mechanics Research Communication, 7(5), 323-327.
  • [21] Łydżba D., Applications of the asymptotic homogenization method in soil and rock mechanics (in Polish), Habilitation thesis, Research Papers of the Institute of Geotechnics and Hydrotechnics, Wrocław University of Technology, ISSN 0084-2834, No. 23, Wrocław, Wrocław University of Technology Publishing House, 2002.
  • [22] Pelletier G., Chapra S., Tao H., (2006), QUAL2Kw – A framework for modeling water quality in streams and rivers using a genetic algorithm for calibration, Environmental Modelling & Software, Volume 21, Issue 3, pp 419-425
  • [23] Rubinstein J., Torquato S.: (1989) Flow in random porous media: mathematical formulation, variational principles and rigorous bounds, J. Fluid Mech., 206, 25-46.
  • [24] Rutkowska D. (1997) Intelligent Computational Systems, PLJ Academic Publishing House, Warsaw.
  • [25] Sastry K., Goldberg D.E., Kendall G. (2014) Genetic Algorithms. In: Burke E., Kendall G. (eds) Search Methodologies. Springer, Boston, MA
  • [26] Strzelecki T., Uciechowska (2014) A., Thermal consolidation process of multiphase medium consisting of elastic skeleton, water, and water vapour. Acta Geophysica vol. 62, No. 5, pp. 1163-1178. 2014. ISSN 1895-6572.
  • [27] Srokosz P., Selected applications of genetic algorithms in geotechnics (in Polish), Wydawnictwo UWM, 2012 ISBN: 8372997608.
  • [28] Zhang X., Srinivasan R., Liew M. (2009) On the use of multialgorithm, genetically adaptive multi‐objective method for multi‐site calibration of the SWAT model, Hydrological Processes, Volume24, Issue 8, pp. 955-969.
Uwagi
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-cc90e756-96f8-46b6-90ba-004e474e701a
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