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Wind Erosion in Western Queensland Australia

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

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Chapter 2 – Land Erodibility Controlsu6s<strong>in</strong> 22cos F3dg s<strong>in</strong> * tw= u*tc+( s a)1(2.20)where the particle rest<strong>in</strong>g angle is def<strong>in</strong>ed by β and is approximately equal to 30°, andu6s<strong>in</strong> 23d ( 2cos + 1)( ) g s<strong>in</strong>* tw= u*tFc+s a1(2.21)where β is approximately 45°, ρ a is the air density and ρ s is the particle density (kgm -3 ), g isgravitational acceleration (ms -2 ), and d is the mean particle diameter (m).The model was calibrated by w<strong>in</strong>d tunnel experimentation with a range of sand particle sizegroups, but was not tested for soils with high clay content. The model performance decreaseswhen adhesive forces become the primary forces hold<strong>in</strong>g water between particles, andcapillary forces, for which the model was developed to describe, become less important.Based on this outcome, McKenna-Neuman and Nickl<strong>in</strong>g (1989) proposed that tension may bea better parameter to describe the effects of soil moisture than gravimetric moisture content asit is more directly related to <strong>in</strong>ter-particle cohesion.Gregory and Darwish (1990) reported a theoretical model to calculate soil moisture effects onu *t . The model was developed from w<strong>in</strong>d tunnel experimentation and data presented <strong>in</strong> theliterature by earlier studies and uses a simpler model for gra<strong>in</strong> shape and pack<strong>in</strong>g than theMcKenna-Neuman and Nickl<strong>in</strong>g (1989) model, us<strong>in</strong>g spheres rather than cones toapproximate gra<strong>in</strong> pack<strong>in</strong>g angles. The follow<strong>in</strong>g expression was obta<strong>in</strong>ed:u* tw= u* t6 a1+ w + gda+ exp gd214swa3ww1.5( w w )c(2.22)where ρ w is the density of water (kgm -3 ), w c is the moisture content attached to clay particlesor aggregates (kg kg -1 ), and a 1 , a 2 and a 3 are coefficients (a 1 <strong>in</strong> kgs -2 , a 2 <strong>in</strong> kg m-1s -2 and a 3 isdimensionless). The value for a 1 was derived from data reported by Greeley and Iversen(1985), while the values for a 2 and a 3 were developed from data presented <strong>in</strong> studies by Belly(1964), Bisal and Hsieh (1989) and McKenna-Neuman and Nickl<strong>in</strong>g (1989). As the contact47

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