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Research Paper | Civil Engineering | India | Volume 4 Issue 6, June 2015

Perturbation Analysis of Unsaturated Flow in Dry Clay

Pankaj Jakhar

Abstract: In present study stability analysis, for 1-D unsaturated flow in clay soil, is done by using Richards equation. This analysis is valid in very dry conditions, in which Richards equation transforms from quasi non-linear to parabolic form. Perturbation stability analysis of simplified -based equation shows that function consisting of soil water diffusivity, temporal and spatial nodal space, governs the error propagation. In finite difference scheme the analysis provides an insight into effect of this function the i. e. , at different values of this function error magnification changes with trend showing linear variation. At low value of function error propagation is insignificant on nearby nodes and diminishes after some nodes. But as magnitude of function increases situation becomes vice-versa.

Keywords: Richards equation, finite difference, perturbation, stability

Edition: Volume 4 Issue 6, June 2015,

Pages: 2698 - 2700