Abstract:
This study explores the suitability and design approach of concrete mattress (CM) of a
cabled and anchored system under subcritical turbulent flow conditions (STFC) against the
scour downstream of a solid apron (SDSA). The concept of CM and its development is
discussed with hydraulic considerations. The results are based on the Experimentation
Works (EW) carried out on various models at Hydraulic Laboratory (HL), Indian Institute
of Technology Roorkee, (India). Models made of a rich-concrete and acrylic sheet were
employed confirming to the Froude Criterion for an undistorted model. The entire EW was
organized:
i. To study the scour profiles downstream of a solid apron for different flow
conditions without any protection,
ii. To compare those scour profiles with the scour profiles downstream of the apron
for flow conditions with concrete mattresses of different sizes and weights under
the same flow conditions, and
iii. To test the stability of concrete mattresses under those flow environments.
The CMs of 0.010 m thickness were found stable and working satisfactorily in STFC by
shifting the Point of Maximum Scour (PMS) in flow-direction and reducing the Depth of
Maximum Scour (DMS) considerably downstream of the apron. CM-2-390 was deformed
following Disordered-Sinusoidal-Curvature (DSC) at lower discharges; that signifies
neither too short nor too long launching length is beneficial for the specific discharge
characteristics against SDSA. The optimum Gap Opening (GO) in the plan-form of a CM
has ranged from 12.49 % to 12.93 % for the models to articulate the system and release the
pore-water pressure. It was observed that once the blocks at the corner of the frontal row of
the mattress were lifted, enough water would flow under the mattress that curled back the
concrete mattress to roll onto it and slipped down the test section, which further aggravates
the situation resulting into Enhanced-Curling-Effect (ECE) and ultimately the failure of the
CM system. Therefore, the stability analysis of corner blocks and middle blocks of the
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frontal row is quite essential, principally, from lift considerations. The suitability of the
mattresses is suggested as per Table 1.
Table 1.0: Suitability of Mattresses
Models Range of Suitability for (⁄⁄) Adopt suitable
factor of safety for
prototype uses.
CM-2-390 0.06565 < q ≤ 0.08333
CM-2-335 0.04633 < q ≤ 0.06565
CM-2-280 q < 0.04633
Higher safety factor (SF = 3.248) was obtained against the target factor of safety (SFT =
3.12) as per the National Concrete Masonry Association (NCMA) method considering the
most critical case of the stability of a block on the sloped bank. SF at bed is much near to
SF minimum as per the Cox method (Colorado State University Factor of Safety Method)
for an anchored system under very rough flow conditions. The SF about bed is satisfactory,
though; there were limitations on the part of laboratory tests. EW has established the
stability of the block numerically; which is consistent with the stability observed in the
video clippings taken during the EW. The safety factor corresponds to the thickness of
0.21 m by Pilarcyzk’s equation for an anchored system under very rough flow conditions;
equivalent to a model thickness of 0.0084 m which is much near to the adopted model
thickness of 0.010 m. The CMs protected the channel beds downstream of the apron where
Froude Number stands below 0.88. Additional research is essential to study the
directionality effect of its shape in elevations and plan-form, its stability under the
hydraulic jump, and drainage filter layer suitable for mobile bed characteristics