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Direct inversion of circulation and mixing from tracer measurements - Part 1: Method

Clarmann, T.von; Grabowski, U.



Abstract (englisch): From a series of zonal mean global stratospheric tracer measurements sampled in altitude vs. latitude, circulation and mixing patterns are inferred by the inverse solution of the continuity equation. As a first step, the continuity equation is written as a tendency equation, which is numerically integrated over time to predict a later atmospheric state, i.e., mixing ratio and air density. The integration is formally performed by the multiplication of the initially measured atmospheric state vector by a linear prediction operator. Further, the derivative of the predicted atmospheric state with respect to the wind vector components and mixing coefficients is used to find the most likely wind vector components and mixing coefficients which minimize the residual between the predicted atmospheric state and the later measurement of the atmospheric state. Unless multiple tracers are used, this inversion problem is under-determined, and dispersive behavior of the prediction further destabilizes the inversion. Both these problems are addressed by regularization. For this purpose, a first-order smoothness constraint has been chosen. The usefulness of this method is demonstrated by application to various tracer measurements recorded with the Michelson Interferometer for Passive Atmospheric Sounding (MIPAS). This method aims at a diagnosis of the Brewer–Dobson circulation without involving the concept of the mean age of stratospheric air, and related problems like the stratospheric tape recorder, or intrusions of mesospheric air into the stratosphere.


Zugehörige Institution(en) am KIT Institut für Meteorologie und Klimaforschung - Atmosphärische Spurenstoffe und Fernerkundung (IMK-ASF)
Publikationstyp Zeitschriftenaufsatz
Jahr 2016
Sprache Englisch
Identifikator DOI: 10.5194/acp-16-14563-2016
ISSN: 1680-7316, 1680-7324
URN: urn:nbn:de:swb:90-640717
KITopen ID: 1000064071
HGF-Programm 12.04.05; LK 01
Erschienen in Atmospheric chemistry and physics
Band 16
Heft 22
Seiten 14563-14584
Lizenz CC BY 3.0 DE: Creative Commons Namensnennung 3.0 Deutschland
Bemerkung zur Veröffentlichung Gefördert durch den KIT-Publikationsfonds
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