Seepage through an Earth Dam on Impervious Base with Hele Shaw Viscous Liquid Physical Model

 

Adil Akyüz

Assistant Professor, Department of Agricultural
Structures and Irrigation, Faculty of Agriculture, Kahramanmaraş
Sütçü İmam University, Kahramanmaraş, Turkey

and

Hasan Merdun

Post-Doctorate, Department of Agricultural Structures
and Irrigation, Faculty of Agriculture, Kahramanmaraş
Sütçü İmam University, Kahramanmaraş, Turkey

ABSTRACT

The purpose of this study is to evaluate the applicability of some equations used in the calculation of seepage from an earth dam placed on an impervious base by using the Hele-Shaw Viscous Fluid Physical Model. For the laboratory experiments an Hele-Shaw Analog Model with 70 cm long, 50 cm high, 0.8 cm thick and 3 cm space between glass plate was prepared. Measurements were made by settling dam bodies prepared for 11 different slope conditions with 50 cm base long in the model. The measurements were made with 3 levels at the downstream side for 3 different levels at the side upstream. The values measured from model were corrected according to 22 °C by using kinematic viscosity (u = 2.72 cm2/sec) obtained from temperature-viscosity relationship. Correlation and t-tests were conducted between the corrected model values and formula values. Obtained values from solutions of Dupuit, Schaffernak-Van Iterson, L. Casagrande and Pavlovsky were compared with values of model. Correlation coefficient were found as follows respectively : Between model and Dupuit solution 0.9927, model and Schaffernak-Van Iterson solution 0.9618, model and L.Casagrande solution 0.9618 and model and Pavlovsky solution 0.9426. Average values obtained from model and formula was compared with t-tests. As the result of the comparison from t-test model values and formula values in all slopes, the probability level were found to be P>0.05. Any statistical difference was not found between the model and formula values from correlation and t-tests. According to these results, the Dupuit Equation was the most appropriate for calculations.

Keywords: Seepage, Hele-Shaw model, Dupuit, Schaffernak-Van Iterson, L.Casagrande, Pavlovsky.

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