The elliptical dimension of space-time atmospheric stratification of passive admixtures using lidar data

نویسنده

  • A. Radkevich
چکیده

State-of-the-art airborne lidar data of passive scalars have shown that the spatial stratification of the atmosphere is scaling: the vertical extent (Δz) of structures is typically ≈ z H x ! where Δx is the horizontal extent and Hz is a stratification exponent. Assuming horizontal isotropy, the volumes of the structures therefore vary as !x!x!x H z = !x D s where the “elliptical dimension” Ds characterizes the rate at which the volumes of typical nonintermittent structures vary with scale. Work on vertical crosssections has shown that 2+Hz=2.55±0.02 (close to the theoretical prediction 23/9). In the absence of overall advection, we expect the lifetime Δt of a structure of size Δx to vary as Δx Ht with Ht=2/3 so that the overall space-time dimension would be st D =29/9=3.22.... However, horizontal and vertical advection lead to new exponents: we argue that the temporal stratification exponent Ht≈ 1 or ≈ 0.7 depending on the relative importance of horizontal versus vertical advection velocities. We empirically test these space-time prediction using vertical time (z,t) cross-sections using passive scalar surrogates (aerosol backscatter ratio from lidar) at ~3 m resolution in the vertical, 0.5 s to 30 s in time and spanning 3-4 orders of magnitude in scale as well as new analyses of vertical (x,z) cross-sections spanning over 3 orders of magnitude in both x, z directions. In order to test the theory for density fluctuations at arbitrary displacements in (Δz, Δt) and (Δx, Δz) spaces, we developed and applied a new Anisotropic Scaling Analysis Technique (ASAT) based on nonlinear coordinate transformations. Applying this and other analyses to data spanning more than 3 orders of magnitude of

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تاریخ انتشار 2007