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Computational Modelling of Aerosol Cycle An Integrated Environmental Modelling System and Its Applications Dr. Yaping Shao CEMAP, School of Mathematics The University of New South Wales Sydney, Australia Tel: 61 2 9385 5746; Fax: 61 2 9386 7123 email: y.shao@unsw.edu.au
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Aerosols –Aerosols are small particles suspended in air. The sizes of aerosols range between 0.1 - 20 microns; –Aerosol sources include natural and human induced ones.
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Aerosol Research: Climate and Weather Directly, aerosols affect atmospheric radiation budget through scattering and absorbing; Indirectly, aerosols modify the optical properties and lifetimes of clouds; Dust (global emission): ~ 3000 Mt/yr. Sea salt: ~ 1300 Mt/yr. Dust (mean column load): ~ 65 mg m -2 Sea salt: ~ 7 mg m -2
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Dust storm in Africa: 27 July 1998, Algeria and Mali
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A severe dust storm over China (16 April 1998)
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Dust clouds seen from satellite picture (14 April 1998)
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Aerosols cause air-quality hazards in populated areas, e.g., Beijing; Many contaminants which pose significant risks to human health and the environment are found or associated with dust, including metal, pesticides, dioxins and radionuclides. Aerosol Research: Air quality
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A severe dust storm (acknowledgement)
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In agricultural areas, soil erosion depletes fine particles which are rich in organic matters and soil nutrients. This leads to land degradation; Wind erosion also reduces water, resulting in desertification. Land-Use Sustainability
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A dust storm in an agricultural area
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Soil Erosion
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Melbourne 08-02-1983 dust storm: Nutrient content in soil particles < 44 microns
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Melbourne 08-02-1983 dust storm
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Mineral Aerosol Cycle –Entrainment: atmosphere and land-surface interactions; multi-disciplinary; –Transport: atmospheric circulation; atmospheric boundary layers; turbulence; two phase flow problem –Deposition: turbulent diffusion; clouds and precipitation.
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Integrated Environmental Modelling –How can such complex environmental problems be simulated and predicted? –Computational environmental modelling: the integration of dynamic models with spatially distributed data –Atmosphere-land surface interactions –Air quality –Aerosol cycle –Land surface hydrology and salinity
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Framework I
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Computational Environmental Modelling System (CEMSYS_3) –Atmospheric prediction model (HIRES): high- resolution limited-area; nested in GCM, self- nested; 3rd order upwinding and semi- lagrangian schemes; clouds and radiation. –Land surface (ALSIS): Soil moisture, temperature; fluxes of energy, mass and momentum; –Aerosol cycle: entrainment, transport and deposition. –Air quality, etc
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Framework of CEMSYS_3 (partial)
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Physical processes involved in wind erosion
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Particle Motion –Saltation: hop motion of sand particles; –Suspension: small particles can remain suspended once airborne.
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The capability of wind to cause erosion is quantified by surface friction velocity, u *, depending on wind speed and surface roughness The ability of the surface to resist erosion is quantified by threshold friction velocity u *t, depending on soil texture, compactness, moisture content and surface coverage Modeling u *t is difficult Friction velocity & threshold friction velocity
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Entrainment of Coarse Particles Balance of aerodynamic, gravity and cohesive forces, f a, f g and f i, determines the entrainment; For coarse particles, f a overcome f g and f i ; Friction velocity u * measures aerodynamic forces; Threshold friction velocity u *t measures retarding forces. Shao-Lu model for u *t is
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Entrainment of Fine Particles The Entrainment mechanisms for coarse and fine particles differ as the importance of forces change. f g d 3, f a d 2 and f i d; f i dominates.
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Dust Emission Mechanisms F a, aerodynamic lift. Particles can be lifted directly by f a, but emission is weak; F b, saltation bombardment. Striking particles cause local impacts, overcome f i, result in strong emission; F c, aggregates disintegration. Fine particles exist as aggregates. Weak events, they behave as grains. Strong events, they disintegrate. Dust-emission rate: F = F a + F b + F c
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Soil particle size ranges: 0.1 m - 2 m Gravel: 2000 m < d 2m Sand: 63 < d 2000 m Silt: 4 < d 63 m Clay: d 4 m Silt and clay particles are dust. Particle-size Distribution
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Particle-size Distributions p s (d): sediment particle-size distribution (psd); p m (d): in-situ soil psd; minimally dispersed analysis; p f (d): fully-disturbed soil psd; fully-dispersed analysis.
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Model for p s (d) Limiting cases
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Example of p s (d)
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Fractions of Fine Particles m : free dust, lower limit for dust emission from unit soil mass; f : not free dust, released through saltation impact and aggregates disintegration, upper limit for dust emission from unit soil mass; s : aerosol in suspension
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Theory of Saltation Saltation plays a critical role in the process of dust emission. Two quantities are of particular importance, namely, the streamwise saltation flux, Q, and the number flux of striking particles, n s
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Volume Based Model for F b Particle trajectory is (X T, Y T ) in soil, forms a crater of volume
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Volume Based Model for F b Trajectory from equation of particle motion; c b f : fraction released; (1-c b ) f : fraction retained;
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Volume Based Model for F b Particle trajectory is (X T, Y T ) in soil, forms a crater of volume ; Trajectory from equation of particle motion; c b f : fraction released; (1-c b ) f : fraction retained;
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Aggregates Disintegration: F c Aggregates disintegration occurs as they strike surface. Corresponding to n s, the mass flux of particles striking surface is mn s. F c (d s ) = c c f c m n s c c : a coefficient
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Total Dust Emission: F Divide particles into I size groups, mean d i, increment d i ; Consider emission of i group
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Model of Particle Size Distribution Emission model requires p m (d) and p f (d). Express as sum of J log-normal pdfs with parameters w j, D j and j; both for p m (d) and p f (d) for sand, loam and silty clay.
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c c Model requires ; c E fi / : fraction of release; c Y = 1/7 c o, order 0.1.
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Quantities Required u * : friction velocity; u *t : threshold friction velocity for surface; p m (d): minimally-dispersed psd; p f (d): fully-dispersed psd; b, p : bulk soil and particle density; s: soil drag coefficient; p ys :vertical component of plastic pressure.
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Results
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Conclusions for Emission Model Concept: F is related to Q; Mechanisms: saltation bombardment and aggregates disintegration; Models for F b and F c ; Soft soils, F b dominates;Hard soils, F c dominates; psds are used to eliminate empirical parameters; psds modeled using log-normal pdfs; Emission rates compare well with observations.
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Transport: Lagrangian Particles are individuals; Trajectories are determined by integrating equations of motion; Isentropic trajectories on surface of constant potential temperature; Fluid parcel and particle are at height z f t-1 = z p t-1 at t-1, fluid moves to z f t, particle to z p t =z f t +w t t.
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Transport: Eulerian Particulate phase is a continuum; Particle concentration obeys advection-diffusion type of conservation equation; K px : particle eddy diffusivity; S r : wet and dry removal; S c : dry and wet convection; F 0 : dust flux at surface
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Inertial and Trajectory Crossing
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Particle Eddy Diffusivity
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Deposition Dry-deposition flux F d = - w d [c(z)-c(0)] c(0), c(z): concentration at surface and reference level; w d : dry-deposition velocity. Single-layer dry-deposition model w d =-w t +g bb +g bm g bb: molecular conductance; g bm : impaction conductance; f r : ratio of pressure drag to total drag; w d =-w t +g a [f r a p e m +(1-f r )a v S c -2/3 ]
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Wet Deposition Wet deposition is the removal of aerosols by precipitation. The processes is extremely complicated, but is commonly calculated using F w = w p r0 s 0 c 0 s 0 : scavenging ratio is a function of many parameters, but ranges from 100 to 2000. p r0 : rain received at the surface; c 0 : concentration in rain water.
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Example 1: How does the Scheme Work
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Comparison with Field Measurements
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Land Surface Data
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Weather pattern
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Feb. 1996
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Soil Erosion
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Threshold Friction Velocity
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Friction Velocity
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Concentration Cross Section
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Total Suspended Dust Time Series
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Comparison with Satellite Image
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Aerosol Concentration
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Surface Concentration: Birdsvill, Feb. 1996
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Higher Resolution
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A comprehensively integrated system has been developed for the simulation and prediction of the entire mineral dust cycle, from entrainment, transport to deposition. CEMSYS_3 has a much wider range of applications; I have illustrated how the entire cycle can be modeled. Each of the modeling components constitutes an interesting research area. I have concentrated on dust emission in this talk; Coupling dynamic models with spatially distributed data has enabled the predictions of dust storm events. Summary
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