TY - JOUR
AU - Bezzazi, Mohammed
AU - Khamlichi, Abdellatif
AU - Vera, Miguel Prron
AU - Rubio, Maria Dolores Cintas
AU - Olegario, Castillo Lopez
PY - 2010
TI - A Simplified Analytical Modeling of the Hole Erosion Test
JF - American Journal of Engineering and Applied Sciences
VL - 3
IS - 4
DO - 10.3844/ajeassp.2010.765.768
UR - https://thescipub.com/abstract/ajeassp.2010.765.768
AB - Problem statement: Internal erosion occurs in soils containing fine particles under the
action of high pressure gradients that could result from water discharge. This phenomenon can yield in
its final stage to the formation of piping which constitutes a real threat for hydraulics infrastructures as
it can precipitate their entire rupture in very short time. In order to mitigate this insidious hazard, it is
important to characterize piping dynamics. In this context, the Hole Erosion Test was introduced to
assess the erosive features of soils by means of two parameters, the erosion rate and the critical shear
stress indicating the beginning of erosion. Modeling this test can enable to understand more
comprehensibly the piping phenomenology. Approach: A simplified analytical modeling of the Hole
Erosion Test was considered in this study. A closed form solution of erosion taking place during piping
was derived without resorting to the habitual cumbersome developments that are needed to achieve
complete solution of the rational equations describing this highly coupled problem. This was achieved
by assuming formal analogy between the erosive shear stress and the friction shear that develops at a
cylindrical piping wall under an axial viscous flow. The flow was assumed to be uniform along the
tube. Results: A closed form analytical formula describing erosion dynamics associated to piping was
derived. Theoretical predictions were compared with experimental results and the simplified model
was found to predict accurately the increase of flow rate that results from piping erosion.
Conclusion/Recommendations: The one-dimensional modeling that was proposed for the Hole
Erosion Test under strong simplifying assumptions was found to yield the same features as those
obtained in the literature by using other approaches. It gives furthermore the dynamics as function of
the fluid regime existing inside the tube. In order to get further insight regarding the flowing flow
action, which could be non uniform during erosion, more advanced modeling is needed.