One-Dimensional Discharge-Stage Theory Relationship Modifying in non-Core Rock fill Dams Using Laboratory Model

Abstract

Structural methods that can be used to control the flood are dams without a core. The flow of these dams is disturbed and the Darcy law is not valid. the turbulent flow equations, including the relations between the Reynolds number and the friction coefficient, are used. relations governing these hydraulic dams are non-linear, extraction of a simple and precise discharge-stage relationship can double management and operation of these dams. Experiments were performed in a laboratory floam in correct the one-dimensional discharge-stage theory equation in rockfill dams and Through dimensional analysis, dimensionless quantities, were extracted in the flow problem from a rockfill dam. 21 series of experiments were carried out on rectangular and trapezoidal sections with rocks in diameters of 3, 5 and 7 cm and lengths of 0.5, 1 and 1.5 meters. And by applying multivariate nonlinear regression on a large of laboratory results (70%), two correctional equations were presented. Based on the statistical indices obtained from 30% of the data, the validation of the equations was considered and the acceptable results were obtained for the correction equations. The results and statistical indices show that the resulting equation of dimensional analysis is more consistent with the one-dimensional theory and one-dimensional modified equations and its error rate for 30% of the data, equal to 0.107%, therefore, Can be used as an appropriate equation. The one-dimensional theory and one-dimensional modified equations were compared with the two-dimensional theory and two-dimensional modified equations and the results showed that the two-dimensional equations have high accuracy.

Keywords

• rockfill dam
• one-dimensional equation
• laboratory model
• multivariate nonlinear regression