Characterizing soil properties by the meshless local Petrov-Galerkin method

被引:2
作者
Sheu G.Y. [1 ]
机构
[1] Department of the Accounting Information, Chang-Jung Christian University, Tainan 714, Kway Jen
关键词
Akaike information criterion; Back analysis; Meshless local Petrov-Galerkin method;
D O I
10.1007/s10706-007-9128-5
中图分类号
学科分类号
摘要
This study presents a preliminary development of a direct back analysis procedure by the meshless local Petrov-Galerkin (MLPG) method and its application to characterize soil properties using in-situ test results. As compared to a direct back analysis based on the finite element method (FEM), it is intended to show that doing a direct back analysis by the MLPG method may reduce the computation costs or treat with the non-homogeneity of characterized soil properties more easily. Taking a two-dimensional (2D) solute transport problem as an illustration, an MLPG1 model of such a problem is derived to predict the solute concentration with trial coefficients of dispersion. To account for the non-homogeneity of these coefficients, variation of them is described by the moving least-squares interpolation. The Akaike information criterion is then introduced to find those coefficients of dispersion with which errors between predicted and measured data are minimized. A benchmark problem is studied to test the precision of numerical results provided by the proposed MLPG1 model. Another example illustrates the experiences of doing an MLPG-based direct back analysis. Comparison of MLPG-based and FEM-based direct back analyses is taken. © Springer Science+Business Media B.V. 2007.
引用
收藏
页码:473 / 486
页数:13
相关论文
共 13 条
[1]  
Atluri S.N., Zhu T., A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics, Comput Mech, 22, pp. 117-127, (1998)
[2]  
Atluri S.N., Shen S., The Meshless Petrov-Galerkin (MLPG) method, Tech Science, (2002)
[3]  
Belytschko T., Krongauz Y., Organ D., Fleming M., Krysl P., Meshless methods: An overview and recent developments, Comput Method Appl Mech Eng, 139, pp. 3-47, (1996)
[4]  
Bernardo J.M., De Groot M.H., Lindley D.U., Smith A.F.M., Bayesian Statistics, (1980)
[5]  
Chiang M.W., A research on the coefficients of dispersion of groundwater contamination, (2000)
[6]  
Cividini A., Jurina L., Gioda G., Some aspects of characterization problems in geomechanics, Int J Rock Mech Min & Geomech Abstr, 18, pp. 487-503, (1981)
[7]  
Gioda G., Maier G., Direct search solution of an inverse problem in elastoplasticity: Identification of cohesion, friction angle and in situ stress by pressure tunnel test, Int J Numer Methods Eng, 15, pp. 1832-1848, (1980)
[8]  
Honjo Y., Liu W.-T., Saiichi S., Application of Akaike information criterion statistics to geotechnical inverse analysis: The extended Bayesian method, Struct Saf, 14, pp. 5-29, (1994)
[9]  
Reddy J.N., An Introduction to the Finite Element Method, (1985)
[10]  
Sakamoto Y., Ishiguro M., Kitagawa G., Akaike information criterion statistics, (1986)