Design equations for prediction of pressuremeter soil deformation moduli utilizing expression programming systems

Providing precise estimations of soil deformation modulus is very difficult due to its dependence on many factors. In this study, gene expression programming (GEP) and multi-expression programming (MEP) systems are presented to derive empirical equations for the prediction of the pressuremeter soil deformation modulus. The employed expression programming (EP) systems formulate the soil deformation modulus in terms of the soil physical properties. Selection of the best models is on the basis of developing and controlling several models with different combinations of the affecting parameters. The proposed EP-based models are established upon 114 pressuremeter tests on different soil types conducted in this study. The generalization capabilities of the models are verified using several statistical criteria. Contributions of the variables influencing the soil modulus are evaluated through a sensitivity analysis. The GEP and MEP approaches accurately characterize the soil deformation modulus resulting in a very good prediction performance. The result indicates that moisture content and soil dry unit weight can efficiently represent the initial state and consolidation history of soil for determining its modulus.

[1]  A. Gandomi,et al.  Nonlinear modeling of shear strength of SFRC beams using linear genetic programming , 2011 .

[2]  John R. Koza,et al.  Genetic programming - on the programming of computers by means of natural selection , 1993, Complex adaptive systems.

[3]  Adil Baykasoglu,et al.  Prediction and multi-objective optimization of high-strength concrete parameters via soft computing approaches , 2009, Expert Syst. Appl..

[4]  A. Gandomi,et al.  Nonlinear Genetic-Based Models for Prediction of Flow Number of Asphalt Mixtures , 2011 .

[5]  A. Gandomi,et al.  Empirical modeling of plate load test moduli of soil via gene expression programming , 2011 .

[6]  A. Tropsha,et al.  Beware of q2! , 2002, Journal of molecular graphics & modelling.

[7]  Mihai Oltean,et al.  A Comparison of Several Linear Genetic Programming Techniques , 2003, Complex Syst..

[8]  M. Oltean,et al.  Multi Expression Programming , 2021 .

[9]  Roberto Todeschini,et al.  The data analysis handbook , 1994, Data handling in science and technology.

[10]  Simon Smith,et al.  Estimating key characteristics of the concrete delivery and placement process using linear regression analysis , 2003 .

[11]  P. Roy,et al.  On Some Aspects of Variable Selection for Partial Least Squares Regression Models , 2008 .

[12]  Peter Nordin,et al.  Genetic programming - An Introduction: On the Automatic Evolution of Computer Programs and Its Applications , 1998 .

[13]  Amir Hossein Gandomi,et al.  Genetic-based modeling of uplift capacity of suction caissons , 2011, Expert Syst. Appl..

[14]  Witold Pedrycz,et al.  Fuzzy Neural Network as Instance Generator for Case-Based Reasoning System: An Example of Selection of Heat Exchange Equipment in Mixing Tanks , 1999, Neural Computing & Applications.

[15]  Burt G. Look,et al.  Handbook of geotechnical investigation and design tables , 2007 .

[16]  Yakov M. Reznik,et al.  Comparison of Results of Oedometer and Plate Load Tests Performed on Collapsible Soils , 1995 .

[17]  Ali Firat Cabalar,et al.  Constitutive modeling of Leighton Buzzard Sands using genetic programming , 2010, Neural Computing and Applications.

[18]  Riccardo Poli,et al.  Genetic Programming: An Introduction and Tutorial, with a Survey of Techniques and Applications , 2008, Computational Intelligence: A Compendium.

[19]  Norman R. Paterson,et al.  Genetic programming with context-sensitive grammars , 2003 .

[20]  Laurent Tambayong,et al.  Boolean Network and Simmelian Tie in the Co-Author Model: a Study of Dynamics and Structure of a Strategic Alliance Model , 2011, Adv. Complex Syst..

[21]  Lale Özbakir,et al.  Prediction of compressive and tensile strength of limestone via genetic programming , 2008, Expert Syst. Appl..

[22]  Jean-Louis Briaud,et al.  BCD: A Soil Modulus Device for Compaction Control , 2006 .

[23]  Thomas Weise,et al.  Global Optimization Algorithms -- Theory and Application , 2009 .

[24]  Yakov M. Reznik,et al.  Influence of physical properties on deformation characteristics of collapsible soils , 2007 .

[25]  Amir Hossein Alavi,et al.  A robust data mining approach for formulation of geotechnical engineering systems , 2011 .

[26]  Cândida Ferreira,et al.  Gene Expression Programming: A New Adaptive Algorithm for Solving Problems , 2001, Complex Syst..

[27]  Nichael Lynn Cramer,et al.  A Representation for the Adaptive Generation of Simple Sequential Programs , 1985, ICGA.

[28]  Xin-She Yang,et al.  Metaheuristics in water, geotechnical and transport engineering , 2012 .

[29]  Abdulkadir Cevik,et al.  A new formulation for web crippling strength of cold-formed steel sheeting using genetic programming , 2007 .

[30]  V.N.S. Murthy,et al.  Geotechnical Engineering: Principles and Practices of Soil Mechanics and Foundation Engineering , 2002 .

[31]  Abdulkadir Cevik,et al.  Genetic-programming-based modeling of RC beam torsional strength , 2010 .

[32]  Rajendra Kumar Sharma,et al.  Regression based weight generation algorithm in neural network for estimation of frequencies of vibrating plates , 2006 .

[33]  Amir Hossein Gandomi,et al.  Multi-stage genetic programming: A new strategy to nonlinear system modeling , 2011, Inf. Sci..

[34]  Amir Hossein Alavi,et al.  Nonlinear modeling of soil deformation modulus through LGP-based interpretation of pressuremeter test results , 2012, Eng. Appl. Artif. Intell..

[35]  Wolfgang Banzhaf,et al.  Genetic Programming: An Introduction , 1997 .

[36]  W. Banzhaf,et al.  1 Linear Genetic Programming , 2007 .

[37]  Amir Hossein Alavi,et al.  A hybrid computational approach to formulate soil deformation moduli obtained from PLT , 2011 .

[38]  V.N.S. Murthy Geotechnical Engineering : Principles and Practices of Soil Mechanics, Second Edition , 2009 .

[39]  Richard M. Friedberg,et al.  A Learning Machine: Part I , 1958, IBM J. Res. Dev..

[40]  Pizhong Qiao,et al.  Neural network committee-based sensitivity analysis strategy for geotechnical engineering problems , 2008, Neural Computing and Applications.

[41]  Riccardo Poli,et al.  Genetic Programming An Introductory Tutorial and a Survey of Techniques and Applications , 2011 .

[42]  Amir Hossein Alavi,et al.  Formulation of flow number of asphalt mixes using a hybrid computational method , 2011 .

[43]  Amir Hossein Gandomi,et al.  Multi expression programming: a new approach to formulation of soil classification , 2010, Engineering with Computers.

[44]  Snehashish Chakraverty,et al.  Neural network-based simulation for response identification of two-storey shear building subject to earthquake motion , 2010, Neural Computing and Applications.

[45]  J. Kushwaha,et al.  Critical state elasto-plastic constitutive models for soil failure in tillage - a review , 2004 .

[46]  Doug Schmucker,et al.  Not As Bad As It Seems: Teaching Probability And Statistics In Civil Engineering , 2004 .

[47]  R. Corotis Probability and statistics in Civil Engineering: by G.N. Smith, Nichols Publishing Company, New York, NY, 1986, 244 pp. , 1988 .

[48]  Julian Francis Miller,et al.  Cartesian genetic programming , 2010, GECCO.

[49]  Aboelmagd Noureldin,et al.  Neural network modeling of time-dependent creep deformations in masonry structures , 2009, Neural Computing and Applications.

[50]  Snehashish Chakraverty,et al.  Comparison of neural network configurations in the long-range forecast of southwest monsoon rainfall over India , 2008, Neural Computing and Applications.