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Quasi-3D Statistical Inversion of Oceanographic Tracer Data

Title: Quasi-3D Statistical Inversion of Oceanographic Tracer Data.
Name(s): Herbei, Radu, author
Speer, Kevin, professor co-directing dissertation
Wegkamp, Marten, professor co-directing dissertation
Laurent, Louis St., outside committee member
Huffer, Fred, committee member
Niu, Xufeng, committee member
Department of Statistics, degree granting department
Florida State University, degree granting institution
Type of Resource: text
Genre: Text
Issuance: monographic
Date Issued: 2006
Publisher: Florida State University
Place of Publication: Tallahassee, Florida
Physical Form: computer
online resource
Extent: 1 online resource
Language(s): English
Abstract/Description: We perform a quasi-3D Bayesian inversion of oceanographic tracer data from the South Atlantic Ocean. Initially we are considering one active neutral density layer with an upper and lower boundary. The available hydrographic data is linked to model parameters (water velocities, diffusion coefficients) via a 3D advection-diffusion equation. A robust solution to the inverse problem considered can be attained by introducing prior information about parameters and modeling the observation error. This approach estimates both horizontal and vertical flow as well as diffusion coefficients. We find a system of alternating zonal jets at the depths of the North Atlantic Deep Water, consistent with direct measurements of flow and concentration maps. A uniqueness analysis of our model is performed in terms of the oxygen consumption rate. The vertical mixing coefficient bears some relation to the bottom topography even though we do not incorporate that into our model. We extend the method to a multi-layer model, using thermal wind relations weakly in a local fashion (as opposed to integrating the entire water column) to connect layers vertically. Results suggest that the estimated deep zonal jets extend vertically, with a clear depth dependent structure. The vertical structure of the flow field is modified by the tracer fields over that set a priori by thermal wind. Our estimates are consistent with observed flow at the depths of the Antarctic Intermediate Water; at still shallower depths, above the layers considered here, the subtropical gyre is a significant feature of the horizontal flow.
Identifier: FSU_migr_etd-4101 (IID)
Submitted Note: A Dissertation submitted to the Department of Statistics in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
Degree Awarded: Summer Semester, 2006.
Date of Defense: May 12, 2006.
Keywords: Inverse Problem, Bayesian Approach, Advection-Diffusion, Thermal Wind
Bibliography Note: Includes bibliographical references.
Advisory Committee: Kevin Speer, Professor Co-Directing Dissertation; Marten Wegkamp, Professor Co-Directing Dissertation; Louis St. Laurent, Outside Committee Member; Fred Huffer, Committee Member; Xufeng Niu, Committee Member.
Subject(s): Statistics
Persistent Link to This Record:
Owner Institution: FSU

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Herbei, R. (2006). Quasi-3D Statistical Inversion of Oceanographic Tracer Data. Retrieved from