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dc.contributor.authorSharma, Arvind Kumaren_US
dc.date.accessioned2014-03-14T20:20:55Z
dc.date.available2014-03-14T20:20:55Z
dc.date.issued2006-12-06en_US
dc.identifier.otheretd-12192006-124029en_US
dc.identifier.urihttp://hdl.handle.net/10919/30172
dc.description.abstractWe develop a methodology for systematic inversion of quantitative stratigraphic models. Quantitative stratigraphic modeling predicts stratigraphy using numerical simulations of geologic processes. Stratigraphic inversion methodically searches the parameter space in order to detect models which best represent the observed stratigraphy. Model parameters include sea-level change, tectonic subsidence, sediment input rate, and transport coefficients. We successfully performed a fully automated process based stratigraphic inversion of a geologically complex synthetic model. Several one and two parameter inversions were used to investigate the coupling of process parameters. Source location and transport coefficient below base level indicated significant coupling, while the rest of the parameters showed only minimal coupling. The influence of different observable data on the inversion was also tested. The inversion results using misfit based on sparse, but time dependent sample points proved to be better than the misfit based on the final stratigraphy only, even when sampled densely. We tested several inversion schemes on the topography dataset obtained from the eXperimental EarthScape facility simulation. The clustering of model parameters in most of the inversion experiments showed the likelihood of obtaining a reasonable number of compatible models. We also observed the need for several different diffusion-coefficient parameterizations to emulate different erosional and depositional processes. The excellent result of the piecewise inversion, which used different parameterizations for different time intervals, demonstrate the need for development or incorporation of time-variant parameterizations of the diffusion coefficients. We also present new methods for applying boundary condition on simulation of diffusion processes using the finite-difference method. It is based on the straightforward idea that solutions at the boundaries are smooth. The new scheme achieves high accuracy when the initial conditions are non vanishing at the boundaries, a case which is poorly handled by previous methods. Along with the ease in implementation, the new method does not require any additional computation or memory.en_US
dc.publisherVirginia Techen_US
dc.relation.haspartArvindSharmaThesis.pdfen_US
dc.rightsI hereby certify that, if appropriate, I have obtained and attached hereto a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dissertation, or project report, allowing distribution as specified below. I certify that the version I submitted is the same as that approved by my advisory committee. I hereby grant to Virginia Tech or its agents the non-exclusive license to archive and make accessible, under the conditions specified below, my thesis, dissertation, or project report in whole or in part in all forms of media, now or hereafter known. I retain all other ownership rights to the copyright of the thesis, dissertation or project report. I also retain the right to use in future works (such as articles or books) all or part of this thesis, dissertation, or project report.en_US
dc.subjectBoundary Conditionen_US
dc.subjectDiffusion Equationen_US
dc.subjectNumerical Modelingen_US
dc.subjectQuantitative Stratigraphic Inversionen_US
dc.titleQuantitative Stratigraphic Inversionen_US
dc.typeDissertationen_US
dc.contributor.departmentGeosciencesen_US
dc.description.degreePh. D.en_US
thesis.degree.namePh. D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen_US
thesis.degree.disciplineGeosciencesen_US
dc.contributor.committeechairImhof, Matthias G.en_US
dc.contributor.committeememberHole, John A.en_US
dc.contributor.committeememberSnoke, J. Arthuren_US
dc.contributor.committeememberChapman, Martin C.en_US
dc.contributor.committeememberEriksson, Kenneth A.en_US
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-12192006-124029/en_US
dc.date.sdate2006-12-19en_US
dc.date.rdate2007-01-08
dc.date.adate2007-01-08en_US


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