A Meshless Method Solution Approach
For The Transient Poro-elastic Levee Problem
Author(s)
E. Divo1 & A. Kassab2
Abstract
We apply the localized collocation Meshless method (LCCM) to the solution of
the problem of poro-elastic flow in a levee. In this approach the interaction
between the water flow and soil is resolved in a time-accurate manner.
Keywords: meshless methods, poro-elasticity.
1 Introduction
Water retaining structures, such as dams, canals, and levees, are essential for
managing water resources. Building them with locally available soils is often the
most economical, environmentally friendly, and sustainable method. It is
possible sometimes to economically construct these structures with masonry,
concrete, or even alternative materials. However, they must be placed on highquality
foundation soils for satisfactory performance wherever a solid rock
stratum is not available at a reasonable depth. Therefore, the safety of most of
these hydraulic structures depends on the capacity of the soils in the body and/or
the foundation to resist the seepage forces created by the retained water. In other
words, the soils should be able to safely seepage without damage or erosion of
soils.
Often times, the seepage on the downstream sides of hydraulic structures is
found to be laden with soil particles, a phenomenon commonly referred to as
\“sand boils”. Excessive seepage at specific points on the downstream side is
indicative of preferential flow that may be due to anomalies in construction,
foundation strata, or formation of internal voids due to movement of soils under
excessive seepage forces. Formation and gradual expansion of internal voids is
Keywords
meshless methods, poro-elasticity.
Related Book
Other papers in this volume
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