Abstract
Problem statement: Tree root water-uptake increases soil strength by increasing the soil matric suction due to pore pressure dissipation in a soil mass, inducing increases in vertical total s tress or water extraction, the effective stress to which the soil strata is subjected to may also increase. This causes volume change which might be detrimental to geotechnical structures and shallow foundation. Approach: This study proposed a methodology that can be used for the prediction of the root water- uptake and deformation. It was suggested that negat ive pore-water pressures can be estimated through two-dimensional governing equation for unsaturated soil and was converted to axi-symmetrical form due radially nature of tree roots. Results: The results of the root water-uptake analysis were then used as input for the prediction of ground displacements in a stress-deformation analysis. A volume change was modeled as a result of matric suction change ca used by vegetative induced moisture migration. The proposed method was studied and tested against data collected on a case history involving a mature Lime tree on Boulder clay at Stacey Hall, Wolverton, England and mechanical properties of Boulder Clay. The recommended safe planting distance of trees of height, H, from buildings a distance, L, away is in form of L: H≥0.5 m ratio. Conclusion: The predicted results from the two dimensional axi-symmetrical analyses agree well wit h the measured data in terms of both total vertical displacements and final water contents in the soil. Based on hypothesis, the numerical model developed provides practicing geotechnical engineer s an effective tool for designing structures on vadose zones containing vegetation.
Highlights
Trees may tentatively cause moisture loss in the soil within a radial distance approximately equal to the height of the tree
The variation in the moisture content leads to a change in the effective stress that causes a decrease in porosity and void volume which eventually results into volume change in soil
Massive housing estates are founded on unsaturated soil and have to resist deformation associated with external loads and the matric suction changes in the soils, displacements are mostly as a result of changes in matric suction
Summary
Trees may tentatively cause moisture loss in the soil within a radial distance approximately equal to the height of the tree. The pore water pressure will be negative quantity in an unsaturated soil and the negative pore water pressure, when expressed in an equivalent head of water is taken to mean the same thing as capillary potential (ψ): two-dimensional axi-symmetrical finite element approach to solve the transient partial coupled flow and deformation equations and to simulate the water-uptake uw. Where: K = The unsaturated hydraulic conductivity t = The time x, z = The Cartesian coordinate θ = The volumetric moisture content ψ = The capillary potential, S(r, z) is the root water extraction function r = The radial coordinate deformation analysis. This relationship was established to perform the necessary deformation estimation:.
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