Wind Erosion in Western Queensland Australia

Modelling Land Susceptibility to Wind Erosion in Western ... - Ninti One Modelling Land Susceptibility to Wind Erosion in Western ... - Ninti One

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Chapter 2 – Land Erodibility Controlsproportional to the cube of its speed (Bagnold, 1941). Therefore, a slight decrease in windspeed will result in a significant reduction in its energy and capacity to erode (Liu et al.,1990). Factors determining the degree of protection or potential momentum reductionafforded by standing vegetation include vegetation or non-erodible element size, geometry,spacing (density), lateral cover, flexibility and porosity. In line with this momentumreduction, vegetation displaces the surface roughness length (Equation 2.3). Thisdisplacement shelters the soil surface in the lee of elements, and increases boundary layerturbulence (Shao, 2000).Chepil (1950b) and Chepil and Woodruff (1963) introduced the critical surface constant tomodel the effects of roughness elements, including both soil surface roughness and standingcover. They reported that the relationship between roughness element height (H) dividend bythe distance between elements (d) was constant at the point at which wind erosion iscontrolled by roughness. Lyles and Allison (1981) found that this was not in fact constant,but changed as a function of u * . They determined that as surface roughness increases thesurface stress absorbed by the roughness elements also increases. Marshall (1971) andMarshall (1972) further examined the effects of roughness element density and distributionon surface drag. The concepts explored in this work led to the development of schemes toadjust u *t for bare surfaces to account for the presence of non-erodible roughness elements.Gillette et al. (1989) presented a method to quantify the effect of surface roughness on the u *tthrough the threshold friction velocity ratio R t = u *tS /u *tR . The method computes the ratio ofthe threshold friction velocity of a bare surface (u *tS ) to that of one covered with roughnesselements (u *tR ). Like the SLR, their model decreases from 1 as roughness increases over abare surface. Raupach (1992) and Raupach et al. (1993) developed this model to predict R tbased on shear stress partitioning between the roughness elements and the surface. Thepremise of the model was that provided by Marshall (1971), that “the attenuating effect ofroughness on erosion is closely related to momentum absorption by roughness, which isclosely controlled by the frontal area…of the roughness elements” (Raupach et al., 1993:3023). The frontal area index (λ) is defined by the expression:nbh =(2.29)s58

Chapter 2 – Land Erodibility Controlswhere n is the number of roughness elements, b and h are mean width and height of theroughness elements (giving frontal area bh), and s is the surface area. The method uses thethreshold friction velocity approach, whereby the total shear stress (τ) on a land surface canbe partitioned into that which is incident on roughness elements (τ R ), and that which isincident on the substrate surface (τ S ). From Equation 2.4, this can be presented as:2 = u= R+*(2.30)Swhere ρ is the air density, and u * is the friction velocity. Figure 2.9 illustrates the dragpartitioning model for a bare surface (a), surface covered with sparse vegetation (b), and adensely vegetated surface (c). The underlying assumption in this theory is that the surfacestress deficit behind isolated roughness elements can be described by an effective shelterarea. This shelter area can be characterised by the geometry of the elements and bulk flowproperties (Raupach et al., 1993). Importantly, the model allows for the effective shelter areasin the lee of non-erodible elements to be superimposed.Figure 2.9 Illustration of the effects of vegetation on surface roughness and the drag partitioningmodel (after Chepil and Woodruff, 1963). (a) shows the relationship for a bare surface, (b) for asurface with sparse vegetation cover, and (c) for a densely vegetated surface.Following from Equation 2.30, the total threshold shear stress (τ) on a surface covered withroughness elements, and the threshold shear stress (τ S ) of a bare surface can be defined by:59

Chapter 2 – Land Erodibility Controlsproportional to the cube of its speed (Bagnold, 1941). Therefore, a slight decrease <strong>in</strong> w<strong>in</strong>dspeed will result <strong>in</strong> a significant reduction <strong>in</strong> its energy and capacity to erode (Liu et al.,1990). Factors determ<strong>in</strong><strong>in</strong>g the degree of protection or potential momentum reductionafforded by stand<strong>in</strong>g vegetation <strong>in</strong>clude vegetation or non-erodible element size, geometry,spac<strong>in</strong>g (density), lateral cover, flexibility and porosity. In l<strong>in</strong>e with this momentumreduction, vegetation displaces the surface roughness length (Equation 2.3). Thisdisplacement shelters the soil surface <strong>in</strong> the lee of elements, and <strong>in</strong>creases boundary layerturbulence (Shao, 2000).Chepil (1950b) and Chepil and Woodruff (1963) <strong>in</strong>troduced the critical surface constant tomodel the effects of roughness elements, <strong>in</strong>clud<strong>in</strong>g both soil surface roughness and stand<strong>in</strong>gcover. They reported that the relationship between roughness element height (H) dividend bythe distance between elements (d) was constant at the po<strong>in</strong>t at which w<strong>in</strong>d erosion iscontrolled by roughness. Lyles and Allison (1981) found that this was not <strong>in</strong> fact constant,but changed as a function of u * . They determ<strong>in</strong>ed that as surface roughness <strong>in</strong>creases thesurface stress absorbed by the roughness elements also <strong>in</strong>creases. Marshall (1971) andMarshall (1972) further exam<strong>in</strong>ed the effects of roughness element density and distributionon surface drag. The concepts explored <strong>in</strong> this work led to the development of schemes toadjust u *t for bare surfaces to account for the presence of non-erodible roughness elements.Gillette et al. (1989) presented a method to quantify the effect of surface roughness on the u *tthrough the threshold friction velocity ratio R t = u *tS /u *tR . The method computes the ratio ofthe threshold friction velocity of a bare surface (u *tS ) to that of one covered with roughnesselements (u *tR ). Like the SLR, their model decreases from 1 as roughness <strong>in</strong>creases over abare surface. Raupach (1992) and Raupach et al. (1993) developed this model to predict R tbased on shear stress partition<strong>in</strong>g between the roughness elements and the surface. Thepremise of the model was that provided by Marshall (1971), that “the attenuat<strong>in</strong>g effect ofroughness on erosion is closely related to momentum absorption by roughness, which isclosely controlled by the frontal area…of the roughness elements” (Raupach et al., 1993:3023). The frontal area <strong>in</strong>dex (λ) is def<strong>in</strong>ed by the expression:nbh =(2.29)s58

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