Abstract
The focus of this paper is the ill-conditioned problems in the dam safety monitoring model. The reasons to give rise to the ill-conditioned problems in statistical models, deterministic models and hybrid models are analyzed in detail, and the criterions for ill-conditioned models are investigated. It is shown that safety monitoring models are not easy to be ill-conditioned if the number of influence factors is less than seven. Moreover, the models have a high accuracy and can meet the engineering requirements. Another frequently encountered problem in establishing a safety monitoring model is the existence of inflection points, which are often present in the mathematical model for the hydraulic components in deterministic models and hybrid models. The conditions for inflection points are studied and their treatments are suggested. Numerical example indicates that the treatments proposed in this paper are effective in removing the ill-conditioned problems.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Gu C S, Wu Z R. Safety Monitoring of Dams and Dam Foundations—Theories & Methods and Their Applications. Nanjing: Hohai University Press, 2006. 8–20, 129–144
Feng K. Numerical Computation Method. Beijing: National Defence Press, 1978. 37–39
Cao W P, Ma J P. The generalized solution of ill-posed boundary problem. Sci China Ser A-Math Sci, 2006, 49: 902–911
Liu Z H, Li J, Li Z W. Regularization method with two parameters for nonlinear ill-posed problems. Sci China Ser A-Math Sci, 2008, 51: 70–78
Huang J Q. Practical Modeling Method of Static and Dynamic Mathematical Model. Beijing: China Machine Press, 1988. 136–138
Eric W, Luc P. Identification of Parametric Models from Experimental Data. Masson: Springer Verlag, 1997. 74–82
Wu Z R, Gu C S. Back Analysis and Application of Dam. Nanjing: Jiangsu Science and Technology Press, 2000. 51–55
Su H Z, Wen Z P, Hu J, et al. Evaluation model for service life of dam based on time-varying risk probability. Sci China Ser E-Tech Sci, 2009, 52(7): 1966–1973
Jaynes E T. Information theory and statistical mechanics. Phys Rev, 1957, 106(4): 620–630
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Gu, C., Wang, Y., Peng, Y. et al. Ill-conditioned problems of dam safety monitoring models and their processing methods. Sci. China Technol. Sci. 54, 3275–3280 (2011). https://doi.org/10.1007/s11431-011-4573-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11431-011-4573-z