International Review of Civil Engineering (I.RE.C.E.), Vol. xx, n. x
November 2012
Manuscript received and revised xx 2010, accepted xx 2010 Copyright © 2010 Praise Worthy Prize S.r.l. - All rights reserved
EXPERIMENTAL STUDY OF CHARACTERISTICS OF TOP
SEEPAGE LINE THROUGH HOMOGENOUS EARTH DAM
USING HELE-SHAW MODEL
Dr. Raad Hoobi Irzooki
1
, Asmaa Abdul-Jabbar Jamel
2
Abstract – This investigation concerns to study the characteristics of phreatic line of seepage
through homogenous earth dam with and without horizontal filter using Hele-Shaw model, which
also named the viscous flow analog.
The constructed and used viscous flow analog was verified by comparing the phreatic line and
unit discharge for different cases of earth dams which were measured from this analog with the
phreatic line and unit discharge which were obtained using computer program SEEP/W (which is
a sub-program of Geo-Studio). The comparison gives a good agreement between the results of
these two methods
Using Hele-Shaw model, Experiments were carried out with three different viscous oils in
order to present three different permeabilities of soil, for each oil there was three downstream
slopes of the dam. Different runs were carried out using different upstream slopes, three variable
filter lengths and three different upstream reservoir heads. For each run the downstream cover,
quantity of seepage and the configuration of top seepage line were determined. Dimensional
analysis was used with helping of the experimental results to develop an empirical equation in
order to determine the most effective filter length which used to eliminate the downstream cover.
Results from the experiments show that the downstream cover is increased with decreasing the
upstream slope, downstream slope and upstream reservoir head, while it is decreased when the
filter length is decreased. The results indicated that the unit discharge through the earth dam body
increases with decreasing the upstream slope, and downstream slope, while it is increase with
increasing the horizontal filter length, and the upstream and reservoir head. Also, the results
appear the unit discharge through earth dam body increases with increasing the hydraulic
conductivity, this the unit discharge for earth dam of high hydraulic conductivity affected strongly
by the geometry of this dam, while this affecting is limited for the soils of low hydraulic
conductivity. Copyright © 2012 Praise Worthy Prize S.r.l. - All rights reserved.
Keywords: : Phreatic Surface, Homogenous Earth Dam, Horizontal Filters, Hele-Shaw Model,
Downstream Slope Cover.
Nomenclature
a = half width between the two plates (L).
B= bottom width of earth dam (L).
d = downstream slope cover (L).
g = acceleration of gravity (L/T
2
).
H= height of earth dam (L).
h = upstream reservoir head (L).
ℎ
= dimensionless, hydraulic gradient (head loss/length
over which head loss occurs).
k = hydraulic conductivity of dam soil (L/T).
k
m
= hydraulic conductivity of the model
L = filter length (L).
V
m
= Main velocity of the flow in the model (L/T).
α = angel of downstream slope.
ѵ = fluid kinematic viscosity (L
2
/T).
θ = angel of upstream slope.
I. Introduction
Dams, which are constructed from earth and rock
materials, are generally referred to as embankment dams
or fill-type dams. The history of construction of
embankment dams is much older than that of concrete
dams. It is evident that some earth dams were constructed
about 3,000 years ago in the cradles of ancient cultures
such as east countries [1].
A purely homogeneous type of dam is composed
entirely of a single type of material. For a completely
homogeneous section, it is inevitable that seepage
emergence will occur in the downstream slope. The
horizontal filter is provided over that portion of the
foundation downstream from the impervious zone of the
dam where high upward seepage forces exist. The filter
must be pervious to drain off effectively and its design
should fulfill the usual filter criteria, in order to prevent