Seepage from a rectangular ditch to the groundwater table

2006-05-01
Korkmaz, Serdar
Onder, Halil
This study presents both a numerical and an experimental solution to seepage from a rectangular ditch or elongated pond to a groundwater table of infinite horizontal extent. Because of the unknown location of the free surface, the flow domain is transformed into the complex potential plane using the inverse formulation method. where the free surface becomes a straight line. The method of finite differences was used to solve the boundary value problem. The problem was also investigated experimentally using a sand tank model. For comparison Purposes. a one-dimensional analytical solution is also presented. The results were compared with each other and with those available in the literature obtained with other solution techniques. The parameters affecting the seepage rate were investigated and the resulting relationships are presented in dimensionless graphs. It is believed that these graphs may be of use in design problems. The conditions for which the simplified one-dimensional analytical Solution agrees well with the results of the sophisticated two-dimensional numerical Solution are identified.
JOURNAL OF IRRIGATION AND DRAINAGE ENGINEERING

Suggestions

Closure to "Broad-Crested weirs with rectangular compound cross sections" by M. Gogus, Z. Defne, and V. Ozkandemir
Goegues, Mustafa; Defne, Zafer; Oezkandemir, Volkan (American Society of Civil Engineers (ASCE), 2007-11-01)
A series of laboratory experiments was performed in order to investigate the effects of width of the lower weir crest and step height of broad-crested weirs of rectangular compound cross section on the values of the discharge coefficient, the approach velocity coefficient, and the modular limit. For this purpose, nine different broad-crested weir models with rectangular compound cross sections and a model with a rectangular cross section were tested in a horizontal laboratory flume of 11.0 m length, 0.29 m ...
Groundwater mound due to constant recharge from a strip basin
Onder, Halil; Korkmaz, Serdar (American Society of Civil Engineers (ASCE), 2007-05-01)
Numerical and experimental solutions to steady infiltration from a strip basin to a groundwater table of infinite horizontal extent are presented. Because of the unknown location of the phreatic surface, the flow domain is transformed into the complex potential plane using the inverse formulation method where the phreatic surfaces with and without recharge become straight lines. The method of finite differences was used to solve the boundary value problem in the transformed plane. The problem was also inves...
New Theoretical solution of stage-discharge relationship for slit weirs
FERRO, Vito; Aydın, İsmail (American Society of Civil Engineers (ASCE), 2018-03-01)
In this paper, the flow-process of a slit weir was analyzed on the basis of a theorem of dimensional analysis and incomplete self-similarity theory. The theoretically deduced stage-discharge formula then was calibrated using experimental data obtained for a ratio between the weir and the channel width, ranging from 0.05 to 0.25. The deduced stage-discharge relationship allowed measuring discharge values characterized by errors that, for 98% of the measured values, were less than or equal to ±5%. The perform...
Use of brink depth in discharge measurement
Tiğrek, Şahnaz; Firat, C. Ersen; Ger, A. Metin (American Society of Civil Engineers (ASCE), 2008-01-01)
The behavior of free surface flow at a rectangular free overfall is studied experimentally to obtain a relation between the brink depth and the flow rate. A series of experiments were conducted in a tilting flume with wide range of flow rates covering subcritical, critical, supercritical regimes, and two different roughnesses in order to develop a relationship between the discharge and the brink depth. An equation is proposed to determine the flow rate using the brink depth for a channel of known roughness ...
Analysis of one-dimensional ground-water flow in a nonuniform aquifer
Onder, H (American Society of Civil Engineers (ASCE), 1997-08-01)
A one-dimensional (1D) flow, resulting from a sudden rise or decline in the water stage of a flood channel in a composite aquifer, which consists of two different regions separated by a linear discontinuity parallel to the channel, is considered. Governing equations are solved analytically for appropriate initial and boundary conditions. The obtained solution allows the determination of water level fluctuations in both regions of the composite aquifer and the time-dependent flow rate to (or from) the aquife...
Citation Formats
S. Korkmaz and H. Onder, “Seepage from a rectangular ditch to the groundwater table,” JOURNAL OF IRRIGATION AND DRAINAGE ENGINEERING, pp. 263–271, 2006, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/64766.